按语言分拣物体任务成功

I need to sort three cars into the white basket on the left, peppers into the blue basket in the middle, and wooden toys into the red basket on the right. In the initial high-camera image, I estimate the baskets’ x coordinates as approximately 190, 319, and 450, respectively. I count three cars: a small yellow-green bus at (x=197, y=226), a yellow car at (x=326, y=242), and a yellow-green bus at (x=388, y=239). The peppers are red at (x=279, y=263), red at (x=425, y=291), and green at (x=510, y=224). The two wooden toys are beige and appear at (x=227, y=287) and (x=354, y=275). That gives eight objects in total. I should move accurately and may be able to use both arms to pick objects near their respective sides in parallel. First, I should read the robot-manipulation skill.

I should map the object coordinates using the calibrated head-camera image. The object centers may be at z = 0.77 m, but I still need to estimate the table height. The initial end-effector height is z = 0.922 m. I need to check how its quaternion [0.707, 0, 0, 0.707] rotates the fingers’ local +X direction. My first thought about the axis mapping was unclear; this is a +90° yaw, so local X maps to world Y, local Y maps to world −X, and local Z maps to world Z. The fingers therefore extend along world +Y. That may be away from the robot, toward the back of the table, judging by the arms’ appearance at the sides of the image. With the initial gripper position at y = −0.352 m, the tips are approximately at y = −0.194 m, perhaps close to the table center. The high-camera transform gives y_camera = −0.866y − 0.5z + 0.299 and z_camera = 0.5y − 0.866z + 1.338. At world z = 0.78 m and y = 0, z_camera is approximately 0.662 m, while y_camera = 0.2989 − 0.39 = −0.091 m. This gives a vertical image coordinate of approximately v = 279.6 pixels. The table spans roughly image y = 80 to 480, so its back may be around world y = +0.3 m and its near side at negative y. The table plane might be at z = 0.75 m; that remains uncertain. I can reconstruct approximate object positions by assuming their centers are at z = 0.80 m. The high-camera projection is u = 320 + 288x/z_camera and v = 240 + 288(−0.866y − 0.5z + 0.2989)/(0.5y − 0.866z + 1.3378). I should use Python to solve for x and y from the pixel coordinates at assumed heights. I am considering object-center heights of 0.79 m and a basket-bottom height around 0.80 m. The wrist-camera calibration offers another possible way to estimate depth. I can obtain the initial left camera’s origin by inverting its transform. I estimate the left bus center at pixel (360, 339) in the initial left-wrist image and (197, 226) in the head image. The two wrist cameras share an orientation and are positioned at x approximately ±0.3 m; the head camera has a different orientation. I could triangulate the left bus using left-wrist pixel (360, 338) and head pixel (197, 226), then perhaps use an estimated plane to locate the other objects from the head image. For now, I’ll compute approximate centers using heights around z = 0.78 m, evaluating the head-camera rays at z = 0.79 m and 0.80 m.

The previous approach command was rejected without moving either arm, and I now have a normalized intermediate quaternion. I’ll retry raising and rotating the open grippers toward a top-down approach to the left car and green pepper, keeping the arms separated and clear of the objects.

The gripper orientations are now at the first intermediate quaternion target. Are the fingers pointing diagonally downward? The wrist view seems to show more of the bus’s top. I should move toward the second intermediate quaternion target and approach closer to the objects’ actual x and y positions. I could estimate more accurate 3D object positions by triangulating corresponding points in the current head and wrist views using the known orientation and camera projections. I could use either the initial correspondences or the current ones. In the current head image, the bus is around pixel (198, 224). In the 640 × 480 wrist image, its roof center might be around (317, 356). I initially estimate the top polygon around (240, 349)–(355, 294), though the displayed bus appears to extend from x = 239 to 392 and y = 294 to 439, with its roof center perhaps at (316, 357). The green pepper is around (510, 224) in the head image and (375, 310) in the wrist image. I should use the bus’s roof center and the pepper’s center as grasp targets. For a matched bus-roof point, I am considering wrist pixel (316, 351) and head pixel approximately (197, 220), distinct from the body center at (197, 226). Matching the roof center across the two views could give its 3D position, including z. I can fit the approximate point correspondences to both calibrated projections with scipy least_squares. Before doing that, I’ll inspect the images more closely to refine these estimates. Crops may help, though the existing view may be sufficient; I’ll start by reopening the current left-wrist image at its original resolution.

The yellow polygon on the bus’s top may have vertices at approximately (240, 365), (344, 294), (379, 315), (382, 350), and (278, 420) in the wrist image. Its center appears to be around (310, 356). The top center of the green pepper on the right may be around (375, 311). I could compute an end-effector target from the object-center pixel coordinates, camera calibration, and an assumed z coordinate. Alternatively, I could triangulate the position from corresponding pixels in two views, trying multiple correspondences. I’ll write a triangulation function that takes pixel correspondences from two calibrated cameras and returns the closest estimated world point. For the bus roof, I’ll use head-camera pixel (198, 220) and wrist-camera pixel (309, 354). For what may be the green pepper’s top center, I’ll use head-camera pixel (509, 222) and wrist-camera pixel (375, 310).

The green pepper’s pixel mapping may be wrong; could the wrist image’s x orientation be involved? The triangulation gives a negative x coordinate that seems impossible for this object. The right wrist is now at x = 0.339 m rather than 0.3 m, while I used head-image x = 509 pixels and wrist-image x = 375 pixels for the pepper. I expect the right camera to be around (x = 0.33, y = −0.246, z = 0.973) m, looking somewhat forward and downward. I’ll project the estimated green-pepper position (0.407, −0.071, 0.79) m into the current right-wrist image to see where it should appear, and compute the calibrated projections to check the geometry.

The estimated green-pepper position projects to pixel (389, 301) in the right-wrist image, while its actual top center may be around (375, 310). Using head-camera pixel (509, 224) and wrist-camera pixel (389, 301) as a correspondence would reproduce the assumed position. I should instead estimate its actual world position by triangulating the visible top center, perhaps using head-camera pixel (510, 220) and a wrist-camera x coordinate around 375. Does the green pepper’s top span roughly y = 258–334 pixels in the right-wrist image? I’ll reopen that image at its original resolution to inspect it.

The green pepper appears to span x = 323–425 and y = 258–368 pixels in the right-wrist image. Its center is approximately (374, 313), its top is around (375, 278), and its bottom is at y = 367. Its 3D center may project to (375, 313), and its actual world x coordinate might be 0.396 m rather than 0.407 m. I initially suspect that the strange triangulation result came from mismatching the center points between views, since the head-image object center is at (509, 224). The assumed world position (0.4, −0.078, 0.8) m projects to (510, 224) in the high-camera image and (382, 311) in the wrist image. Could a difference of only 7 pixels produce such a large triangulation change because the cameras look in nearly the same direction? Is there enough parallax between the high and wrist cameras? With a baseline of perhaps 0.6, I would not expect that difference to yield a negative x coordinate. Checking the triangulation code reveals the problem: solve always calls tri(0, p0) and tri(1, p1), so it uses the left-wrist camera even for the green pepper’s right-wrist pixels. Camera index 1 was appropriate for the left bus, but the green pepper requires the right-wrist camera at index 2. I’ll recompute its triangulation with the correct camera.

The corrected triangulation puts the green pepper’s estimated center at approximately (0.397, −0.078, 0.801) m and the bus’s estimated center at approximately (−0.262, −0.069, 0.79) m. I need to choose the link6 height for a top-down grasp. Adding the fingers’ 0.1576 m extent to a bus grasp-center height of 0.79 m would give a link6 height of approximately 0.948 m. However, the finger pads may contact the sides around local x = 0.13 m, so perhaps I should aim about 0.14 m above the object center. If the pads span local X from 0.08 to 0.157 m and the object’s vertical thickness is 0.04 m, I want the fingers to extend near the estimated table height of 0.75 m. A link6 height of 0.90 m would put the tip at 0.742 m, with a contact midpoint around z = 0.79 m. A typical grasp target might instead be 0.13–0.15 m above the object center. For the bus, I am considering a height of 0.04 m, with its base at z = 0.75 m, top at 0.80 m, and body center at 0.775 m. The triangulated roof center was at approximately z = 0.796 m. To contact the body around z = 0.77 m, a link6 height of approximately 0.925 m may be enough, putting the tip at about 0.767 m. The pads probably occupy the lower portion of the fingers, from local x = 0.1 to 0.1576 m. At link6 z = 0.925 m, their vertical range would be approximately 0.767–0.825 m, overlapping the bus sides at 0.755–0.796 m. At link6 z = 0.95 m, the pad range would be 0.792–0.85 m, perhaps too high to contact more than the roof edge. I’ll use z = 0.925 m for the eventual bus grasp; its tip would be at 0.7674 m, about 0.017 m above the estimated table height of 0.75 m. The green pepper may be about 0.07 m tall, with its base at z = 0.75 m, top at 0.82 m, and center at 0.785 m. The triangulated center of its full image was at z = 0.801 m, which may represent its upper center. For a body grasp around z = 0.79 m, link6 z = 0.93 m would put the tip at 0.7724 m and may be sufficient. I am considering a grasp height of 0.925 or 0.93 m. First, I’ll continue rotating toward a top-down orientation, moving from the first intermediate quaternion to the second. I’ll approach positions around (−0.262, −0.10, 1.02) m for the bus and (0.397, −0.10, 1.02) m for the green pepper. These planned moves are approximately 0.146 m for the left arm and 0.157 m for the right arm. I’ll use 15 control steps for this motion.

The view is now closer to top-down. I should finish rotating the open grippers and center them above the objects. The left link6 is currently at (−0.264, −0.134, 1.007) m. With the fingers pointing straight down, they will have no horizontal projection, so I should align link6 with the bus center, moving to y = −0.069 m while initially keeping z = 1.00 m. For the right arm, I should align at x = 0.397 m and y = −0.078 m. The remaining rotation to the final quaternion may be about 0.65 rad; the target appears to be within the allowed limit. Perhaps 10 control steps will achieve it. I should check whether the left gripper could collide with the white basket during this move. The fingers currently point diagonally downward, with their tips offset approximately +0.10 m in y and −0.10 m in z. At the current left link6 position, that puts the tips around y = −0.03 m and z = 0.9 m, about 0.1 m above the bus roof at z = 0.796 m. The white basket sits immediately behind the bus; its back may be around y = 0.13 m and its front around y = −0.02 m. The gripper could pass above its front, but the tips at z = 0.9 m appear clear of the rim at approximately z = 0.84 m. Once vertical, the tips would be around z = 0.85 m with link6 at z = 1.007 m. At the target link6 height of 1.0 m, the tips would be at z = 0.842 m, only slightly above the estimated rim height of 0.84 m. However, they would be over the bus at y = −0.07 m, near a basket front that may instead be around y = −0.005 m, so I judge the move safe. The same clearance reasoning applies to the right gripper. I’ll use 10 control steps to target left link6 at (−0.262, −0.069, 1.0) m and right link6 at (0.397, −0.078, 1.0) m, both with the final top-down quaternion.

After 12 control steps, the positions have been reached, but the quaternions are not yet at the final orientation; I estimate about 0.25 rad of rotation remains. In the left-wrist image, the car now spans approximately x = 352–477 and y = 190–399 pixels. The open gripper’s left finger is visible at the left edge, around x = 0–125, and its right finger is around x = 512–640. Should the object be centered at x = 320? The wrist camera’s image center at (320, 240) may not correspond to the grasp point because of the camera offset. I estimate the object at (414, 294), so it appears horizontally off-center. With the gripper nearly top-down, local Y is approximately world Y, which is the closing direction. Does image horizontal correspond to world X? The object’s appearance to the right might suggest an x offset relative to the end effector. Is my head-camera triangulation of the bus at x = −0.262 m correct? The end effector is also at x = −0.262 m, but the camera’s optical center may be offset from it along local Z or perhaps local Y. I should check the current camera extrinsics. Using a car-center estimate of roughly (415, 300) pixels in the wrist image, where should the estimated world point (−0.262, −0.069, 0.796) m project? I’ll compute the projections using the current calibration.

The projection agrees with the estimated object center near pixel (410, 306). The wrist cameras are offset from the end effectors: the left camera has world x ≈ −0.198 m versus link6 x = −0.262 m, and the right camera has x ≈ 0.461 m versus link6 x = 0.397 m. Both offsets are approximately +0.064 m along world X. Could this be due to a side-mounted camera in the local frame? The offset rotates with the gripper, so I should account for it; I am unsure where the camera center will lie at the final top-down orientation. The gripper midpoint may be near image x = 320, though its vertical image coordinate is unclear. The car appears to the right in the wrist view, and the head view may show the gripper over or slightly left of it. Nevertheless, the calibrated object and link6 coordinates indicate that their x positions are aligned at −0.262 m. With the gripper closing along world Y, I should target the object's y center. The camera viewpoint explains why the car need not be centered in the wrist image. I should finish the orientation before descending to the eventual grasp height of perhaps z = 0.925 m. One option is to combine the final rotation with an initial descent to z = 0.96 m over 5 control steps. At the current link6 height of 0.999 m, the left quaternion has components w ≈ 0.764, y ≈ 0.632, and z ≈ 0.128. For a quaternion of the form [w, 0, y, z], I estimate the local X direction in world coordinates as [1 − 2y², 2yz, −2wy] ≈ [0.206, 0.162, −0.965]. This puts the fingertip offsets at approximately (0.032, 0.025, −0.152) m, and the current left tips near (−0.230, −0.046, 0.847) m, compared with the car center near (−0.262, −0.069, 0.78) m. The final top-down orientation should remove those horizontal offsets; the current pose is not yet a grasp pose. Descending to link6 z = 0.95 m would put vertical fingertips at approximately z = 0.792 m. That might be too low before the orientation is complete: the car roof is near z = 0.796 m, so an offset tip could collide with it. A safer option is to finish rotating at z = 0.999 m over 8 steps, then descend. I could also finish rotating while lowering only to z = 0.98 m, keeping the intermediate tips around z = 0.82 m and above the roof. I considered 6 steps for that small motion, but I’ll use 8 steps, keeping both grippers open.

Both grippers are now top-down, and the objects are visible in the wrist views. I may be seeing only the left finger in the left-wrist image; could the right finger be outside the frame because of the camera orientation? The camera appears to look nearly straight down, though I am unsure of its x offset or whether its optical axis now aligns with link6 x. The car center appears near pixel (330, 200), and the green pepper near (320, 230), so both look reasonably centered. I do not need to compute the camera offset now. The visible open finger spans approximately x = 0–150 pixels, beginning around y = 220 pixels; the other finger may be beyond x = 640 pixels. An opening of approximately 0.08 m at a depth of 0.15 m would span about 211 pixels, though I am unsure where that puts the fingers in the image. The car roof’s length appears vertical in the image, perhaps corresponding to world X, while its width appears horizontal, perhaps corresponding to world Y. Its apparent width of about 130 pixels at a depth of 0.18 m gives a physical width of approximately 0.059 m. The gripper closes along world Y, which appears horizontal in the wrist view, so that alignment looks appropriate. The car’s world-Y width may be around 0.045 m. The green pepper’s width along world X or Y may be around 0.07 m, compared with an estimated maximum gripper opening of 0.09 m. I am considering lowering both link6 poses to z = 0.925 m for the grasp. The green pepper’s projected whole-object center was at z = 0.801 m, but its stem may reach z = 0.82 m. I should estimate the object’s bottom from its silhouette in the high-camera view. The table height is likely z = 0.75 m, and the green pepper may be 0.065 m tall with its center around z = 0.78 m. At link6 z = 0.925 m, the fingertips would be at z = 0.7674 m, near the bottom and approximately 0.017 m above the table. The bus base is also estimated at z = 0.75 m, so the same height seems suitable. For now, I’ll keep both grippers open and descend toward link6 z = 0.93 m over 3 control steps. The planned descent is approximately 0.051 m; the actual height may only reach about z = 0.94 m after those steps. Then I’ll inspect the next observation.

The right gripper’s reported opening command is 0.796 despite my request to keep it open with gripper_closed set to false; perhaps a collision prevented it from opening fully. The left opening command is 1.0. Both arms descended 0.034 m over 3 control steps, approximately 0.011 m per step. Reaching the intended link6 height of z = 0.93 m should take about 2 more steps. The car and green pepper now appear very large in the wrist views. The right finger appears near image x = 480 pixels, while the left finger’s position is unclear; the green pepper appears between them. I could close the grippers at z = 0.93 m. For now, I’ll use 2 steps to finish the descent.

The right gripper’s opening command is decreasing despite gripper_closed being false. Could this indicate contact or a collision affecting the opening? The reported value is the native controller’s latest interpolated opening command, which can differ from the requested endpoint and is not a measured finger gap. I expected an open command of 1.0, but it is now 0.639. Perhaps the controller is still interpolating, or contact is preventing opening; I am unsure how to explain this, especially since the instructions explicitly say it is not a measured gap. The right black fingers appear to be moving alongside the pepper, which looks promising for grasping. In the left wrist view, the car center appears near pixel (356, 280). A white structure on the left may be obscuring the open fingers. The car is close to the white basket, so could a finger be contacting its wall or encounter it during closure? The left opening command is still 1.0. The gripper closes along world Y, and the finger behind the car, on its positive-Y side, could reach the basket front, perhaps around y = −0.03 m. I should estimate the white basket’s front position. Its front bottom appears at image y = 211 pixels. Inverting the head-camera projection at pixel (191, 211), assuming a plane at z = 0.75 m, gives approximately world y = −0.01 m. With the car center around y = −0.07 m, its back edge around −0.04 m, and the basket front perhaps at −0.02 m, a rear finger offset of +0.04 m from the car’s y = −0.068 m would put it at y = −0.028 m, close to the basket. That may be acceptable, but at maximum opening the finger might extend approximately 0.08 m along +Y and contact the basket. Could this explain something about the left gripper? Its reported opening remains 1.0, however. The green pepper also has the red basket behind it, with the open positive-Y finger near the basket front. Perhaps contact with the red basket explains the right opening command decreasing to 0.639. If the red basket front is around y = −0.01 m and the pepper center is at y = −0.079 m, a rear finger offset of +0.06 m would put it at y = −0.019 m, where it might contact the basket. The open finger may be pressing against the basket, though that remains uncertain. Closing should move both fingers inward around the pepper, with the rear finger moving away from the basket. I’ll now close both grippers for 3 control steps while retaining the same pose targets.

I should continue closing both grippers toward an opening command of 0. After 3 steps, the left opening command decreased from 1 to 0.799 and the right from 0.639 to 0.228, changes of approximately 0.2 and 0.411. Why is the left closing more slowly? Perhaps the native interpolated opening command changes at about 0.07 per step. Full closure might take 10 steps, but the instructions call for 1–3 steps per grasp action to maintain stability, so I can repeat another 3-step action. The left car has not visibly moved, and the green pepper on the right is still stationary. The left fingers may not yet be contacting the car; I am considering a car width of 0.06 versus a gripper opening of 0.04, though these estimates are uncertain. Perhaps the left opening command of 0.799 corresponds to a gap of 0.06. The right command of 0.228 may correspond to a gap of 0.017, so it may already be gripping the pepper. I’ll continue closing both grippers for 3 more steps.

The objects may still be on the table. In the high-camera view, the left car appears unchanged at pixel (197, 224), and the green pepper remains around (508, 224). In the wrist views, however, the objects seem smaller after the test lift, which suggests that the cameras rose relative to them rather than lifting them. My initial estimate for the car in obs_000069 was a top at y = 104 pixels and a bottom at y = 477 pixels; in obs_000071, its top appears at y = 86 and its bottom at y = 406. For the right pepper, I initially estimated a top at y = 195 and a bottom at y = 480 in obs_000069. Its top in obs_000071 appears near y = 197, but I am unsure of its bottom boundary, so that comparison is less clear. Have both test lifts failed? The gripper rose only 0.017 m, corresponding to roughly 4 pixels in the high-camera view, so the objects could have risen without an obvious change in their high-camera positions. An object held steadily should retain its size and position relative to the wrist camera, though. Looking more closely, I estimate the car’s wrist-image bounds in obs_000069 as x = 245–468 and y = 103–477 pixels, compared with x = 249–430 and y = 86–406 in obs_000071. It is substantially smaller, so I conclude that it is not held. The green pepper appears to span x = 218–540 with its top near y = 197 in obs_000069, and x = 167–492 with its top near y = 197 in obs_000071; I cannot clearly identify its bottom in either comparison. It appears shifted left and smaller, suggesting that it is not held either. My current conclusion is that neither grasp succeeded. Why did the grasps fail? Perhaps the fingers were not centered on the objects. I need to understand the gripper geometry, camera offset, and actual grasp point. In the final top-down orientation, the fingers extend downward by 0.1576 m. With link6 at z = 0.936 m, the tips would be at approximately z = 0.778 m. The table may be at z = 0.75 m, and I estimate the bus height as 0.035 m with its top at z = 0.796 m. A finger-pad lower extent at z = 0.778 m should overlap the bus sides from z = 0.75 to 0.796 m, but only over the upper 0.018 m. The car still appears unchanged in the high-camera image despite the nearby gripper. The left opening command is stuck around 0.8, but what finger gap does that imply? Perhaps the car is outside the fingers because the target y coordinate is wrong. Its wrist-image center appeared near x = 356 pixels versus the optical center at x = 320, and after the final rotation it appeared around x = 350. The grasp point may not coincide with the image center. I’ll calculate the camera center relative to link6 for the nearly top-down pose in obs_000058 and the current pose in obs_000071 to clarify the finger-center geometry in the wrist views.

Even with the gripper in its final top-down orientation, the wrist camera’s optical forward direction has world components x = −0.5 and z = −0.866, so it does not look straight down. Its offset from link6 is approximately +0.051 m in x and −0.085 m in z. The fingertip projects to pixel (329, 275), while the pad midpoint projects to (331, 429). The grasp point is therefore near the lower center of the image, around x = 330 and y = 350–430 pixels, rather than at the image center (320, 240). In obs_000071, could the car center be around pixel (340, 246)? The car appears to extend from y = 85 to 405 pixels, with its centroid perhaps at y = 245, near the fingertip projection at y = 275. Does that place the object at fingertip height, z ≈ 0.795 m, rather than at the pad midpoint? With link6 at z = 0.953 m in this observation, the tip is at approximately z = 0.795 m, right at the estimated car roof. Using the estimated car-center height of z = 0.796 m, the earlier link6 height of 0.936 m put the tip at z = 0.778 m and the contact pads between z = 0.778 and 0.836 m. That should have allowed a grasp. I still need to check where the grasp center lies horizontally in the wrist image. I’ll project the estimated car point (−0.262, −0.069, 0.796) m using the calibration from obs_000071 and compare it with the fingertip projection. In obs_000058, I recall it matching approximately pixel (330, 200), though that estimate is uncertain.

At the left link6 height of 0.932 m, the car appears very large in the wrist view, with its bottom cut off. The green pepper also appears very large in the right wrist view. I’m considering lowering both grippers to z = 0.91 m over 2 control steps. The right opening command is now 0.602. Is an obstacle affecting it, or is it still interpolating? It increased from 0.336 to 0.602 over 3 steps, approximately 0.089 per step, and has not reached fully open. After another 2 steps, it might reach approximately 0.78. The left gripper’s opening command indicates it is fully open. I’ll use 3 control steps to lower both grippers toward z = 0.91 m while continuing to command them open.

The cameras’ image-right direction is mostly world −Y, and their image-down direction combines world −X and +Z. Since the fingers close along world Y, their closing motion appears horizontal in the wrist images. In obs_000077, the car’s wrist-image center appears near x = 390 pixels. Where should the fingertip project? The end effector’s world y = −0.067 m is close to the estimated car y = −0.069 m, so I expect a projection near image x = 330 pixels. Perhaps the apparent centroid near x = 390 is due to the car’s shape and perspective. Earlier, at the first intermediate quaternion, I used wrist-image roof-center x = 309 pixels and head-image x = 198 pixels for triangulation. In obs_000058, the car spanned approximately image x = 260–397, with center x = 329. After the failed lift and descent, it spans approximately x = 273–512 in obs_000077, with center x = 392. It appears to have shifted right. Could gripper contact have moved it along world Y? Its head-image x remains around 197, but its vertical coordinate is around 224 rather than the original 226. Its world y may have changed because of a push. I’ll triangulate the car’s current position using corresponding visible features. Its turquoise front appears near wrist pixel (386, 138), and its yellow roof center may be around (390, 310). The bus center in the head image is around (197, 225). Which feature should I match? One possibility is the front black windshield, estimated at wrist pixel (384, 161) and perhaps head pixel (199, 216). I am not sure where that windshield appeared in the left-wrist view of obs_000023, so I need to identify the geometry carefully. The bus appears around head pixel (197, 224), with its turquoise end perhaps near (198, 231). In the initial head image, the left car looked like a yellow rectangle with a turquoise bumper at the bottom, around image y = 232, and a yellow roof at the top, around y = 219. In the current wrist view, the turquoise end is at the top, around y = 150, with the yellow roof below it. The black windshield near wrist pixel (385, 161) may therefore correspond to the small black line near head pixel (196, 229). I’ll try head pixel (197, 228) paired with wrist pixel (385, 160). For the green pepper, the stem is around head pixel (510, 224), but the corresponding region is cut off at the bottom of the wrist image. Its upper body center might correspond to head pixel (509, 222) and wrist pixel (389, 341), though that remains uncertain. I’ll use Python to triangulate the current car feature correspondences and inspect the errors.

The car’s estimated center is still at world x = −0.262 m and y = −0.071 m, close to the left end effector at x = −0.261 m and y = −0.067 m. Why did the grasp fail? The fingers are not perfectly vertical, but the slight tilt of roughly 0.03 seems negligible. Could the left opening command have stopped at 0.8 because the car is long along world Y? I had inferred that the bus is long along world X: its yellow roof is elongated vertically in the wrist image, whose downward direction corresponds to world −X. That still suggests a long X dimension and a narrow Y dimension. Could the basket on the positive-Y side or the table be blocking the left fingers? The fingers are on the car’s positive- and negative-Y sides; the positive-Y side is near the basket, while the negative-Y side is clear. An open positive-Y finger, offset by approximately +0.04 m in y, would be near the basket, but closure moves it toward −Y, away from the basket. The other finger moves toward +Y, so both should contact the car. I would expect a closure reading around 0.5. Perhaps 0.8 corresponds to contact with a 0.065 m wide object if the maximum gap is 0.08 m. A bus width of 0.05 m might instead correspond to 0.625, or to 0.5 if the full gap is 0.1 m. I am not sure how these opening readings relate to the gap. The test lift was only 0.017 m, so perhaps the object did move somewhat. The car’s high-camera center was at pixel (197, 226) initially and (197, 224) in obs_000071. How much should a 0.017 m lift shift its vertical projection? At fixed x and y, increasing z by 0.017 m might decrease v by roughly 8 pixels. I could compare y = −0.07 m at z = 0.78 m and 0.797 m; would v be around 222 pixels? My estimate for the original roof at z = 0.796 m is v = 221.5 pixels, and after a 0.017 m lift it would be v = 215.4 pixels. The observed roof may instead have moved from v = 220 to 219 pixels, only about 2 pixels by my rough estimate. That does not look like a full lift. Its appearance should also remain fixed relative to the wrist camera if held, whereas it became smaller, which supports the conclusion that it was not held. Should I grasp lower? If the table prevents further descent, perhaps a tilted grip could contact the sides while keeping link6 higher and letting the pads reach down. Another option is to grasp along the long world-X axis rather than the narrow Y axis, which could keep the fingers away from the basket and provide more contact. The car may be 0.09 m long along X, and an opening reading of 0.8 could approximately match a length of 0.08 m. Could I have misunderstood the actual closing direction? The instructions explicitly specify local Y, and I oriented local Y along world Y. If the car is long along world X, that should produce closure across its narrow width. Perhaps the object is actually long along world Y, but the head image argues against that: the bus spans image x = 177–217, a width of 40 pixels, and y = 214–239, a height of 25 pixels. World X is horizontal there, suggesting a length of about 0.08 m along X. Its vertical elongation from approximately y = 110–477 in the wrist image also corresponds to world −X. The left reading of 0.8 therefore remains unexplained. The right pepper’s closure reading of 0.227 might represent nearly closed fingers with no object held. Could the pepper be misaligned along the closing axis? In obs_000077, it spans approximately wrist-image x = 225–596, with a center around x = 410. The end effector is at world y = −0.079 m and the estimated object at y = −0.078 m, which I would expect to project near image x = 320. Perhaps the visible body center near x = 400 differs because the camera sees its top and side. Earlier, in obs_000058, the green pepper’s image center was around (320, 230). After closure and descent, it shifted substantially right and down. Could the gripper have pushed it along world Y? The green pepper’s head-image position was approximately (510, 224) initially and (510, 226) in obs_000077. There might still have been a world-y shift of 0.01 m. Its wrist-image top is now near y = 216 rather than y = 132 in obs_000058, and its center is around x = 405. Descent and camera tilt could create perspective shifts even for a stationary object: an object below the fingertips projects farther down and perhaps sideways. Should its horizontal projection be unaffected by z? The camera rotation’s first row contains mostly −Y and a small −Z contribution; at the exact top-down quaternion, the image-right direction is [0, −1, 0], so I would expect the horizontal projection to depend only on Y and not Z. With a quaternion x component around 0.01, the rotation row’s z component is approximately −0.03, which seems too small to explain an 80-pixel shift. A pepper center at image x = 410 versus a fingertip projection near x = 320 might indicate a world-y difference of approximately −0.015 m. Since image right corresponds to world −Y, a rightward shift would mean decreasing y. Closure could have pushed the pepper 0.015 m toward −Y. That should increase its head-camera v coordinate by roughly 12 pixels, yet the observed change is only from 224 to 226. Could a lift in z have compensated for that? This remains uncertain. I’ll calculate the projection of the previously estimated green-pepper point (0.397, −0.078, 0.801) m using the calibration from obs_000077 and compare the estimated object projections with the fingertip projections.

After closure, the right gripper’s opening command is 0.205, while the left remains unchanged at 0.8. I’ll try a larger test lift of approximately 0.04 m over 3 control steps, then check whether the objects move with the grippers.

At first, both objects still look smaller after the lift, suggesting neither was grasped. In the high-camera image, the car is now near pixel (197, 224), compared with its original position at (197, 226). The green pepper may be near (512, 218), though in obs_000083 I estimate it closer to (511, 219). Could it have lifted? It appears between the fingers and perhaps slightly elevated, while its wrist-image appearance remains large but has shifted. Comparing the green pepper in the right-wrist views, its top is around y = 211 pixels in obs_000080 and y = 212 in obs_000083. I initially estimate its horizontal bounds as x = 205–574, a width of 369 pixels, in obs_000080, and x = 139–512, a width of 373 pixels, in obs_000083. Perhaps the top portion in obs_000083 spans only x = 246–403. Looking at the full pepper, I instead estimate bounds of x = 140–510, a width of 370 pixels. Its overall size therefore seems unchanged, with a leftward shift of approximately 65 pixels. Could the camera have moved in x? The right end effector's x coordinate remains 0.399 m. Its orientation changed only slightly, and a quaternion change of about 0.002 does not seem sufficient to explain a 65-pixel shift. The right quaternion was [0.707, 0.001, 0.707, 0.001] in obs_000080 and is [0.707, 0, 0.707, 0] in obs_000083. Could the object have moved horizontally with the gripper, slipped or rotated within the grasp, or shifted in the image because of the slight change in camera orientation? Perhaps its center changed in y within the gripper as the reported opening increased from 0.205 to 0.332. Could that increase during the lift indicate the object's weight forcing the fingers open? The green pepper may actually be held. Its high-camera position appears to have risen from y = 224 to y = 218 pixels, consistent with a z lift of approximately 0.03 m. I may have misjudged the right grasp. The car's wrist-image width appears to have decreased from approximately 234 pixels in obs_000080 to approximately 163 pixels in obs_000083, suggesting it is not held, whereas the pepper's similar size across those observations suggests it might be. I should quantify these visual comparisons using crops or color segmentation. I'll use an HSV threshold for the green pepper in the right-wrist images from observations 69, 71, 74, 77, 80, and 83, and also measure the yellow car in the left-wrist images. I'll compute bounding boxes and pixel areas to compare their apparent sizes.

In the high-camera image, the green pepper is still visible at the right gripper, around pixel (540, 194), having moved up from (510, 224). This confirms that it is held. The car remains on the table around pixel (197, 226). I should move the right arm toward the blue basket’s center. I estimate its interior center at world x = 0 m and y = 0.06 m. Its high-camera center is around pixel (320, 177); the earlier projection at z = 0.79 m gave y = 0.062 m. The basket bottom may be at z = 0.79 m, based on a table height of 0.77 m plus 0.02 m, and the wall tops may be at z = 0.84 m. Would a link6 placement height of 0.98 m be appropriate? At the grasp, link6 was at z = 0.923 m and the pepper center was estimated at z = 0.801 m, giving a relative vertical offset of −0.122 m. With link6 now at z = 1.018 m, the pepper center would be at z = 0.896 m. At x = 0.399 m and y = −0.08 m, that should project near pixel (541, 194), consistent with the observed position around (540, 194). If the blue basket bottom is at z = 0.79 m, I would want the pepper center at z = 0.83 m for release, corresponding to link6 z = 0.952 m. During horizontal transport at the current link6 height of 1.018 m, I estimate the pepper’s bottom at 0.896 − 0.04 = 0.856 m. That gives 0.016 m of clearance above the estimated rim height of 0.84 m, which I judge sufficient. Placing with link6 at z = 0.96 m would put the pepper’s bottom around z = 0.80 m, which should be stable. I’ll aim to move the right arm toward x = 0.05 m and y = 0.06 m, perhaps at z = 1.04 m, before descending. The distance from its current horizontal position (0.399, −0.08) m to (0.05, 0.06) m is approximately 0.377 m. I should split this into an intermediate target at (0.22, −0.01, 1.04) m, approximately 0.197 m away, followed by a target at x = 0.02 m and y = 0.06 m, approximately 0.214 m away. Each target must remain within the 0.25 m distance limit. I’m considering 12 control steps for each move, though the actual motion may only be about 0.1 m and require repeated decisions. Meanwhile, I’ll rotate the left gripper through 45° while keeping it above the car at (−0.261, −0.069, 1.02) m. The intermediate orientation will apply a −45° rotation about world Z to the top-down quaternion: q = Rz(−45°) × q_top. I’ll use scipy to compute the target quaternions for −45° and −90°.

I used R.from_euler('y', 90) without specifying degrees=True. Since the default is degrees=False, it interpreted the Y rotation as 90 radians, so the base quaternion was wrong. I’ll recompute it with degrees=True.

The new quaternion [0.5, 0.5, 0.5, -0.5] gives the intended final left-gripper orientation. Starting from the top-down 90° Y rotation, a −90° world-Z rotation leaves local X pointing along world −Z and changes local Y from world Y to world X. For this action, I’ll use the left gripper’s intermediate quaternion [0.65328148, 0.27059805, 0.65328148, -0.27059805]. It is 45°, approximately 0.785 rad, from the current orientation, within the 1 rad limit. I’ll transport the held pepper with the right arm toward position [0.22, -0.01, 1.04] m while keeping its current quaternion unchanged. I’ll use 12 control steps.

The green pepper may be high above the red basket’s edge. The right end effector is at x = 0.241 m and y = −0.024 m, and I estimate the pepper’s center at z = 0.911 m, which looks suitable. The left gripper has rotated approximately 30°, rather than reaching the full −45° intermediate rotation. Could I target the final −90° orientation next? Comparing its current quaternion [0.683, 0.184, 0.683, −0.184] with the final quaternion [0.5, 0.5, 0.5, −0.5], the dot product is approximately 0.3416 + 0.092 + 0.3416 + 0.092 = 0.8672. The orientation distance is approximately 2acos(0.867) = 1.043 rad, roughly 1.05 rad, which slightly exceeds the 1.0 rad limit. I’ll target the original −45° intermediate orientation again before proceeding to the final orientation. For the right arm, I’ll target [0.03, 0.06, 1.04] m over the blue basket’s center. The target distance is approximately 0.228 m, within the allowed bound. I considered 8 control steps for the left rotation and 12 for the right transport; I’ll use 12 steps for both.

The right arm’s direct top-down target at x = 0.03 m, y = 0.06 m, z = 1.04 m failed the local IK check without moving. Could this be a reach or joint-limit issue? Its base is approximately at x = 0.3 m, y = −0.35 m, and reaching across toward x = 0.03 m and back to y = 0.06 m may require a reach of about 0.45 m at z = 1.04 m. The precheck position error of approximately 0.104 m makes me suspect its best reachable position in that search was around x = 0.1 m, y = 0.02 m, though that is only an estimate. I could try a different intermediate orientation or move the blue basket closer, as the skill permits when a movable container is too far away. Tilting the gripper over the basket might also extend the reach if the current top-down pose is near a joint limit at full extension. Using the left arm for the blue-basket peppers is another option, but the right arm already holds the green pepper, and handing it over would be difficult. I still think the right arm can likely reach the basket center around x = 0 m, y = 0.06 m; a local IK failure does not establish that it cannot. A smaller intermediate target at x = 0.14 m, y = 0.02 m, z = 1.04 m, within approximately 0.12 m of the current pose, may pass the precheck and allow a subsequent move. I also considered an intermediate at x = 0.15 m, y = 0.02 m. I’ll now try the right-arm target [0.15, 0.015, 1.04] m with its top-down orientation unchanged, while retaining the left arm’s same 45° intermediate quaternion target.

Perhaps the right arm’s current link6 position, [0.241, -0.024, 1.033] m, is near its maximum reach toward −X with the gripper held top-down. I could lower z or move toward negative y. A target of [0.17, -0.02, 1.0] m would change x by −0.071 m and z by −0.033 m; perhaps that would pass the precheck. Alternatively, changing the orientation may improve reach, since the top-down pose while reaching across the table may require an awkward horizontal wrist offset. One option is to keep the fingers vertical but rotate the gripper around world Z. The current top-down orientation is a 90° Y rotation, with local Z along world X. A quaternion of [0.5, -0.5, 0.5, 0.5], corresponding to a top-down pose with +90° yaw, would change the closing axis to world X and might help the arm reach left. I could rotate the held pepper gently, but the 1.57 rad orientation change would require an intermediate target. Another option is to tilt toward the initial quaternion [0.707, 0, 0, 0.707]. The pepper would rotate with the gripper, which may be acceptable provided it does not drop. The fingers could remain tilted above the blue basket while holding it. Orientation can significantly affect reach, and a forward-down pose like the initial orientation may be easier for IK than the current top-down pose at x ≈ 0.24 m, where the arm may be fully flexed. I also considered a tilted approach quaternion [0.653, 0, 0.653, 0.270]. Is that a top-down pose rotated about world Z, or does it give local X a positive world-Z component? For a quaternion [w, 0, y, z], the local-X direction is [1 − 2y², 2yz, −2wy]. I could adjust this to tilt the fingers toward −Y or +Y, but a left-and-down direction may be more useful for reaching across the table from the current quaternion [0.707, 0, 0.707, 0]. I can choose local X along world [-0.5, 0, -0.866] and keep local Y along world Y. Their cross product gives local Z along [0.866, 0, -0.5], so the rotation matrix has columns [-0.5, 0, -0.866], [0, 1, 0], and [0.866, 0, -0.5]. This is a 120° Y rotation: local X is [cos θ, 0, −sin θ], with cos 120° = −0.5 and sin 120° = 0.866. The corresponding quaternion is [cos 60°, 0, sin 60°, 0] = [0.5, 0, 0.866, 0]. This points the fingers left and down, extending the grasp farther left without requiring link6 to reach as far. For a right-arm target above the blue basket at x = 0.1 m, the fingertip x coordinate would be link6 x − 0.079 m, so link6 could be at object x + 0.079 m. The camera orientation would change, but that should be acceptable. The orientation change from the current pose is 30°, approximately 0.524 rad, within the allowed limit. It would tilt the held pepper sideways by 30° while retaining the friction grasp, which may help. A more leftward local-X direction of [-0.866, 0, -0.5] would correspond to a 150° Y rotation and quaternion [0.259, 0, 0.966, 0], but its 60° change slightly exceeds the 1 rad limit. I’ll try the 30° tilt first. The pepper can eventually be released tilted because the container task has no orientation requirement. Perhaps the right-arm target [0.15, 0.015, 1.04] m will pass the precheck with quaternion [0.5, 0, 0.866, 0]. Its planned position change is [−0.091, 0.039, 0.007] m, a distance of about 0.1 m, and its orientation change is approximately 0.524 rad. I’ll try that while continuing the left gripper toward its 45° intermediate rotation.

The tilted target brought the right arm’s precheck position error down to about 10 mm. I’ll try a shorter move to [0.18, 0, 1.03] m, keeping the tilted quaternion [0.5, 0, 0.866, 0]. I estimate the target distance at approximately 0.069 m, and I expect this target to pass the precheck.

The right link6 is now at (0.185, −0.004, 1.028) m, with the wrist tilted approximately 20° from top-down, and the pepper is held. The blue basket is visible on the left side of the wrist view. I could finish the 30° tilt and target (0.09, 0.04, 1.02) m; I estimate that move at 0.107 m with an orientation difference of 0.17 rad. Would that pass the precheck? Another possible target is (0.10, 0.035, 1.03) m with quaternion [0.5, 0, 0.866, 0]. I should account for the pepper’s offset from link6 when choosing the placement pose. For the current quaternion components w = 0.57 and y = 0.822, the normalized rotation angle is θ = 2atan(0.822/0.57) ≈ 1.93 rad, or 110.6°. Local X points along [cos θ, 0, −sin θ], with world components x ≈ −0.352 and z ≈ −0.936. The fingertips therefore have offsets of approximately −0.055 m in x and −0.148 m in z. Was the pepper’s original offset in the top-down grasp about −0.12 m in z? Assuming its center is at local x = 0.13 m, its current world offset is approximately (−0.046, 0, −0.122) m. That puts the pepper center near (0.139, −0.004, 0.906) m, projecting near high-camera pixel (389, 166). I estimate the blue basket center at (0, 0.06, 0.79) m. With a 30° tilt, moving link6 to (0.05, 0.06, 0.94) m would give the pepper an offset of approximately (−0.065, 0, −0.112) m and put its center at (−0.015, 0.06, 0.828) m. That looks suitable for placement. I could use a link6 placement target of (0.065, 0.06, 0.94) m with the same 30° tilt. From the current pose, I estimate that target distance at 0.166 m and the orientation difference at 0.17 rad. The precheck might pass with the tilt, and the lower height may improve reach. Before descending, I considered an intermediate target of (0.075, 0.05, 0.98) m above the basket. With the estimated offset (−0.065, 0, −0.112) m, the pepper center would be at (0.01, 0.05, 0.868) m and its bottom around z = 0.83 m. That is slightly below the estimated rim height of 0.84 m, so there may be a collision. I should instead keep link6 at z = 1.02 m during transport, putting the pepper center at z = 0.908 m and its bottom around z = 0.87 m. I’ll try the right-arm target (0.075, 0.05, 1.02) m with quaternion [0.5, 0, 0.866, 0], keeping the gripper closed. The estimated pepper center will be (0.01, 0.05, 0.908) m. I estimate the target distance at 0.151 m. Meanwhile, the left gripper can finish its −90° reorientation at the same position; the remaining orientation difference is approximately 0.785 rad. I considered 8 steps for the left rotation and 10 for the right motion, and will use 10 steps for the combined action.

The right-arm target at (0.075, 0.05, 1.02) m still failed the local IK check with the wrist tilted 30° from top-down. Perhaps the arm’s base configuration prevents it from reaching the basket center, although I expect the task to allow both arms to reach the needed areas. Could the local IK search be stuck because the target orientation is too far away? The precheck position residual was about 48 mm. I’ll try a smaller move to (0.13, 0.02, 1.02) m with the same target quaternion. From the current right-arm position, with x = 0.185 m and y = −0.004 m, I estimate this move at approximately 0.061 m. I expect it to pass the precheck, after which I can continue gradually toward the basket. I’ll use 8 control steps.

The right arm’s precheck position error is again about 8.9 mm. The previous target was a 120° Y rotation, while the measured orientation is around 110°. Although the remaining rotation is only about 0.17 rad, the solver may be stalling near a joint limit with the target quaternion [0.5, 0, 0.866, 0]. Keeping the current orientation during translation might allow the precheck to pass, after which I could rotate farther. I could retry position [0.13, 0.02, 1.02] m using the current quaternion [0.57, -0.001, 0.822, -0.001], which I estimate has a normalized magnitude of 0.999999, or use [0.55, 0, 0.835, 0], which I am treating as unit length. Another possibility is to tilt farther, using quaternion components w = 0.466 and y = 0.885. Would that give a Y rotation around 124°? The orientation difference would be about 0.24 rad, and pointing farther left might improve reach along X. However, the orientation itself may be making the local precheck difficult. I’ll instead preserve approximately the current orientation and make a smaller translation. Checking the rounded quaternion, 0.57² + 0.822² gives 0.3249 + 0.675684 = 1.000584. Is that outside the 0.001 tolerance? The difference is only 0.000584, so I consider it acceptable. I’ll use [0.5697, 0, 0.8219, 0], treating it as unit length with a Y rotation around 110.5°, and target the right link6 at [0.14, 0.015, 1.025] m. The left gripper will retain its final orientation target.

Even the small proposed move of 0.052 m failed, with a best position error of about 10 mm. Perhaps the right arm is near a configuration singularity, making further leftward motion impossible with this orientation. I could move back and right, then try a different path or orientation. Failed prechecks execute no motion, so I can test a different configuration. Could the initial horizontal quaternion [0.707, 0, 0, 0.707] allow the right arm to reach the middle basket with the fingers facing forward? Rotating the held pepper by roughly 120° may be risky, so I should do it gradually in high, open space. The current orientation is approximately a 110° Y rotation, while the initial orientation is a 90° yaw. I initially wondered whether their quaternion dot product was about 0.5; using [0.57, 0, 0.822, 0] and [0.707, 0, 0, 0.707] gives about 0.403 and an orientation distance of 2.29 rad. That exceeds the 1 rad limit and requires intermediate orientations. With the initial yaw, the fingers point along world +Y. Their horizontal extent of about 0.158 m could let link6 stay at y = −0.1 m while extending toward the blue basket at y = 0.06 m, rather than moving link6 directly over it from its current y = −0.004 m. This may be the intended way to improve reach: carry with horizontal fingers and position the wrist behind the basket. A forward-down orientation may also work better than top-down. At the initial right link6 pose [0.3, −0.352, 0.922] m, the fingers reach approximately y = −0.194 m at z = 0.922 m. The table objects are around y = −0.1 m and z = 0.8 m, so reaching them would require lowering or tilting. For basket placement, horizontal +Y fingers at z = 0.88 m with link6 at y = −0.1 m could put the object around y = 0.03 m. One plan is to rotate the held pepper gradually from top-down to forward-horizontal while retracting link6 to a safe pose around [0.25, −0.15, 1.0] m, then approach the blue basket with link6 around [0, −0.1, 0.96] m and the initial yaw quaternion. Could the pepper slip as it rotates from vertical to horizontal? The grasp appears secure, so I expect it to hold if I rotate slowly. The roughly 120° rotation needs three stages. A possible intermediate quaternion is [0.653, 0, 0.462, 0.599], but I should compute the orientation path rather than rely on that estimate. I can use scipy to interpolate between the current 110° Y rotation and the initial 90° yaw, perhaps first considering t = 0.4. For the 2.29 rad total change, stages at t = 1/3, 2/3, and 1 would keep each action below 1 rad. Another retraction target is [0.25, −0.12, 1.05] m from the current [0.185, −0.004, 1.028] m, a distance I estimate at 0.136 m. The pepper appears near high-camera pixel (389, 169), above the space between the blue and right baskets. Retracting back and right looks safe. Alternatively, I could rotate in place before moving the wrist behind the blue basket. The left wrist still has not reached its final orientation because the right-arm precheck failures prevented both arms from moving. Although robot_act requires targets for both arms, I can hold the right arm at its current pose while rotating the left wrist. I’ll first complete the left wrist’s planned reorientation with the gripper open, keep the right gripper closed at its current pose, and use 8 control steps. Then I’ll focus on changing the right arm’s carry configuration.

I estimate that the left wrist still has 0.54 rad remaining before reaching its final orientation. I should finish that rotation eventually. I’ll compute a spherical interpolation from the right wrist’s current quaternion to its initial orientation. I can use the quaternion from obs_000109 or the measured components 0.57 and 0.822; I’ll normalize [0.5697, 0, 0.8219, 0] and use the initial target [0.707106, 0, 0, 0.707106]. An interpolation fraction of t = 0.4 should give a rotation of approximately 0.916 rad, below the 1 rad command limit. I also considered t = 0.7, but was unsure about the associated 1.374 rad rotation. Another option is t = 1/3, giving approximately 0.764 rad. I’ll use three stages at t = 0.4, 0.75, and 1. The t = 0.75 orientation is approximately 1.719 rad from the current orientation, too far for one action, but only approximately 0.802 rad from the t = 0.4 orientation. The final stage would then require approximately 0.573 rad. I’ll compute the quaternions for those three stages.

The first intermediate quaternion is [0.74266, 0, 0.57415, 0.34469]. For this orientation, local X has world components x = 1 − 2y² ≈ 0.341, y = 2yz ≈ 0.395, and z = −2wy ≈ −0.853. The fingers therefore point toward +X and +Y and downward. This is not the final desired direction, but it is an intermediate pose along the rotation path. The held pepper will rotate significantly. The current right link6 height is 1.028 m, and the pepper’s bottom may be around 0.85 m, so rotating in place could swing it near a basket rim. I should raise and retract it while rotating to avoid a collision. I’ll target the right link6 at [0.235, −0.07, 1.10] m. The planned position change is [0.05, −0.066, 0.072] m, with a distance of approximately 0.109 m and an orientation change of approximately 0.925 rad. This should move the pepper upward and away from the baskets. Is z = 1.1 m reachable? I think it probably is because the target is closer to the base, but the pose still needs to pass the precheck. I’ll keep the left link6 position fixed at z = 1.02 m while targeting its final quaternion, and use 10 control steps.

I’ll move the right arm slightly back to [0.20, −0.10, 1.09] m while targeting the computed intermediate quaternion [0.7564169051, −0.1532417955, 0.3773359164, 0.4890442661]. Meanwhile, I’ll lower the open left gripper toward the car while retaining its final orientation. The left link6 is currently at z = 1.02 m. I considered targeting z = 0.94 m, a descent of 0.08 m, with 3 control steps for safety. However, the right wrist rotation might need 10 steps, and using that many steps for both arms could lower the already aligned left gripper too quickly to 0.94 m. Instead, I can target z = 0.96 m with 6 steps, perhaps completing the 0.06 m descent. With the open fingers rotated 90° and the car between their ends, I judge this approach clear: the fingertips would be at approximately z = 0.802 m, near the roof with an estimated clearance of 0.006 m. The right rotation may need 10 steps, but both arms share the action’s step count. I’ll use 6 steps now. The left arm can hold at z = 0.96 m if it arrives, and I can continue the right wrist rotation afterward if it remains incomplete.

The intermediate quaternion’s norm may be approximately 0.999999. The square of its 0.7564 component may be about 0.572; I’ll compute the full norm to check.

Why did the spherical interpolation produce a non-unit quaternion? I initially wondered whether the target quaternion’s norm was only slightly off, around 0.999999, but the target [0.653, −0.2706, 0, 0.653] is not unit length. Its squared components give approximately 0.42677 × 2 + 0.073223, or about 0.926; using the rounded values, I get 0.8536 + 0.0732 = 0.9268. I need to recalculate the target as the initial quaternion multiplied by a 45° rotation about local Y. The initial quaternion has nonzero components of approximately 0.707, and the Y-rotation quaternion has w = 0.9239 and y = 0.3827. The product gives w = 0.707 × 0.9239 = 0.6533 and x = 0 + 0 − 0.707 × 0.3827 = −0.2706. The y component is also 0.707 × 0.3827 = 0.2706, not zero—I omitted it. The z component is 0.707 × 0.9239 = 0.6533. The corrected quaternion is therefore [0.6533, −0.2706, 0.2706, 0.6533], which is unit length. This is the intended forward-and-down pose, obtained by rotating 45° around the initial gripper’s local Y axis. The earlier top-down quaternions were computed with scipy, so I consider those safe. I’ll use the corrected target [0.65328148, −0.27059805, 0.27059805, 0.65328148] and recompute the spherical interpolation from the current right-wrist orientation.

The total rotation from the right wrist’s current orientation to the corrected forward-down target is approximately 1.325 rad. Rotating to the midpoint requires approximately 0.662 rad, and the remaining rotation from the midpoint to the final orientation is also approximately 0.662 rad. I’ll use the corrected midpoint quaternion for this action.

The left link6 is at z = 0.961 m, and the car appears very large in the wrist view. Are the fingers alongside its ends? The car appears about 330 pixels wide, spanning x = 173–500, with the open fingertips near x = 80 and x = 550. The gap may be about 0.1 m. The car’s long axis is along world X, and the closing direction now appears horizontal in the image. Does the open gripper clear the white basket? The basket appears at the bottom of the wrist view, with the car on the table above it, so the clearance looks good. With the final left orientation, local X still points along world −Z and local Y along world X. I estimate the fingertips at z = 0.803 m from 0.961 − 0.158 m, with the car roof at z = 0.796 m, slightly above the tips. A descent of about 0.03 m to link6 z = 0.931 m would put the tips at z = 0.773 m and bring the pads into contact. Since the table limited the earlier descent, I’ll target z = 0.932 m with the left gripper open. For the right arm, I’ll continue toward the final forward-down quaternion while making a small move to [0.16, −0.10, 1.08] m. I estimate the remaining orientation difference at perhaps 0.77 rad, within the 1 rad limit. I considered 6 control steps, but 3 is safer for the left descent. The right rotation may remain incomplete after 3 steps, which is acceptable; I’ll use 3 steps.

The right wrist’s remaining rotation to the final orientation exceeds the 1.0 rad limit. The earlier total rotation was approximately 1.325 rad, but it has progressed only about 0.3 rad, leaving approximately 1.02 rad. I should target the original midpoint quaternion again before proceeding to the final orientation. Using the rounded current and midpoint quaternions, their dot product is approximately 0.719 × 0.716 + (−0.07) × (−0.145) + 0.606 × 0.501 + 0.334 × 0.463 = 0.515 + 0.010 + 0.304 + 0.155 = 0.984. This gives an orientation difference of approximately 0.357 rad. I’ll target the right wrist at [0.16, −0.1, 1.08] m with midpoint quaternion [0.7165631269, −0.1452407296, 0.5006306479, 0.4634774752], then continue toward the final orientation afterward. I’ll keep the left arm’s previous descent target unchanged.

The left opening command is 0.735. The car appears to be squeezed between the fingers, with end contacts near image x = 100 and 526 pixels. Its apparent width is about 420 pixels, compared with 430 previously, so closure seems to have moved the fingers inward. I’ll continue closure for 3 steps, then test the grasp with a lift. The right wrist has not yet reached its final carry orientation. The quaternion dot product is approximately 0.712 × 0.653 + 0.169 × 0.270 + 0.464 × 0.270 + 0.499 × 0.653 = 0.465 + 0.046 + 0.125 + 0.326 = 0.962, giving a remaining rotation of about 0.553 rad. I could target the right link6 at [0.08, −0.09, 1.04] m with the final quaternion; perhaps this will pass the precheck. With the fingers pointing forward and down at 45°, I estimate the pepper’s offset as +0.09 m in y and −0.09 m in z. That would place it near [0.08, 0, 0.95] m, still short of the blue basket’s center at y = 0.06 m. An eventual link6 pose at [0, −0.04, 0.94] m would put the pepper near [0, 0.07, 0.85] m, which looks suitable. Reaching x = 0 may still be difficult. The forward-down orientation improves the reach in y but leaves x unchanged, although its yaw component may allow the right arm to cross inward. I’ll first approach with the right link6 at [0.06, −0.06, 1.02] m and the final carry quaternion. From its current position [0.125, −0.1, 1.064] m, I estimate the distance as 0.084 m. This should put the pepper near [0.06, 0.051, 0.909] m, above the blue basket’s right side. Afterward, I can lower it and move toward x = 0. I’ll use 4 steps for this combined action while continuing the left closure, for which I had planned 3 steps.

Does the car have the same bounding box in the left wrist view? I should compare its image area between observations 144 and 147. In the high-camera view, it appears near pixel (197, 220), compared with y = 226 on the table, so it has lifted slightly. I conclude that the car is held. The green pepper may now be partly hidden behind the right fingers over the blue basket; I tentatively see a small green region around pixel (365, 148), perhaps near the basket’s far side. Its appearance remains constant in the wrist view, so I consider it still held. I’ll move the right arm toward position [0.02, −0.04, 0.98] m and finish its carry orientation. Its current quaternion is [0.681, −0.235, 0.344, 0.602]. The dot product with the final quaternion is approximately 0.445 + 0.064 + 0.093 + 0.393 = 0.995, giving an orientation difference of about 0.2 rad. From the current position [0.073, −0.069, 1.029] m, I estimate the target distance as 0.079 m. This may be reachable in the precheck. The current orientation is not yet final, so the fingers’ current direction still needs consideration. At the final orientation, local X points along world [0, 0.707, −0.707]. Assuming the pepper center is 0.13 m along local X, its world offset from link6 would be 0.13 × [0, 0.707, −0.707] = [0, 0.092, −0.092] m. At the proposed link6 target, the pepper center would be [0.02, 0.052, 0.888] m, with its bottom perhaps at z = 0.86 m. That is above the estimated blue-basket bottom at z = 0.79 m and rim at z = 0.84 m. Releasing from a center height of 0.888 m would give a drop of about 0.06 m and might be stable, but lowering link6 to z = 0.93 m would be better: the pepper center would be at z = 0.838 m and its bottom around z = 0.81 m, inside the basket. I’ll first move to [0.02, −0.04, 0.98] m, inspect the basket alignment, and then descend to z = 0.94 m. At the same time, I’ll raise the held car above the white basket rim by moving the left link6 from z = 0.967 m to 1.02 m, a rise of 0.053 m. Three steps might produce only about 0.034 m of motion, so I’ll use five steps. Both targets are within the 0.25 m position and 1 rad orientation limits. I expect five steps to complete the left lift; the right arm may also reach its target. Both grippers will remain closed.

The right gripper is now above the blue basket, so I should lower the pepper toward release height. The measured right link6 position is [0.033, −0.048, 0.992] m, with the final carry orientation. If the pepper center is approximately 0.13 m along local X, whose world direction is [0, 0.707, −0.707], its estimated center is [0.033, 0.044, 0.900] m. The blue basket’s estimated center is at x = 0 m and y = 0.06 m, with its bottom at z = 0.79 m. The pepper is near the right side at x = 0.033 m, but should still fit. Is the basket width about 0.2 m? Using an estimated interior x range of ±0.08 m and pepper width of 0.07 m, its outer extent would be x = 0.068 m, inside that range. Its y coordinate of 0.044 m also looks suitable. Lowering link6 to z = 0.94 m would put the pepper center around z = 0.848 m and its bottom around z = 0.818 m, inside the basket. I’ll target [0.005, −0.035, 0.94] m, which gives an estimated pepper center of [0.005, 0.057, 0.848] m, closer to the basket center. I should check clearance from the blue basket’s front rim. At link6 y = −0.035 m and z = 0.94 m, the fingertips extend approximately +0.111 m in y and −0.111 m in z, placing them at [0.005, 0.076, 0.829] m, below the estimated rim height of 0.84 m but inside the basket. Could the rear portions of the fingers contact the front rim? If the rim is around y = 0 m, the fingers cross it at local-X distance t = 0.035/0.707 ≈ 0.05 m, where z = 0.94 − 0.035 = 0.905 m. That is above the rim, so I judge the approach clear. The pepper center at y = 0.057 m and z = 0.848 m would be near rim height but inside. I considered four steps for this descent, which might bring link6 only to z = 0.951 m before inspection. Meanwhile, I should move the car over the white basket interior. The left link6 is at [−0.26, −0.07, 1.018] m with the top-down, end-to-end grasp orientation. Assuming the held car has a vertical offset of −0.13 m, its center is around z = 0.888 m. The white basket’s estimated center is at x = −0.303 m and y = 0.06 m, with its bottom at z = 0.79 m. An eventual link6 target of [−0.303, 0.06, 0.96] m would put the car center at z = 0.83 m and its bottom at z = 0.81 m, which looks suitable. First, I’ll move horizontally to [−0.303, 0.06, 1.018] m above the white basket, then lower the car. At the current link6 height, the car’s estimated bottom is z = 0.858 m, giving 0.018 m clearance above the 0.84 m rim. I estimate this move at 0.13 m, within the 0.25 m target limit. Eight steps might move the left arm about 0.1 m, whereas I had considered four for the right descent. Since both arms share the step count, I’ll use six steps: the right arm may reach z = 0.94 m while the left moves toward the white basket center. Both grippers will remain closed.

The left arm’s top-down, end-to-end grasp orientation appears to have a reach issue over the basket, similar to the right arm earlier. I may need to change the placement orientation or use an intermediate pose. The left link6 is currently at x = −0.26 m, y = −0.07 m, while the estimated white-basket center is at x = −0.303 m, y = 0.06 m. The required motion is mostly forward along +Y by about 0.13 m, and this wrist configuration may limit that reach. Could I use the original top-down quaternion for placement? The car is held along world X, so rotating the gripper 90° around world Z would rotate the car to lie along world Y. I estimate the white basket’s dimensions as 0.2 m along X and 0.16 m along Y, so a car length of about 0.09 m along Y should fit. I could rotate back to the original top-down orientation during transport and then place it. The initial grasp failed because of the nearby basket, but placement from above its center might work with that orientation. Could the left arm reach x = −0.303 m, y = 0.06 m with the original 90° Y rotation? The right arm failed to reach the blue basket at x = 0 m, y = 0.06 m in that orientation, but the white basket is closer to the left arm’s base, so I think it is likely. In the current end-to-end orientation, local Z points along world −Y, which may put the elbow in a configuration with poor reach. Instead, I can try a smaller intermediate target at x = −0.28 m, y = 0 m with the same orientation, then continue toward y = 0.06 m. The failed precheck had a position error of about 37 mm, so a smaller step may pass. From the current left pose at [−0.26, −0.07, 1.018] m, I’ll target [−0.28, 0.01, 1.018] m, an estimated distance of 0.083 m. I expect this nearer target to pass. I’ll move the held car to that intermediate pose while lowering the pepper into the blue basket.

The right link6 is at z = 0.94 m. The pepper is mostly hidden in the high-camera view, while the wrist view looks into the blue basket. I’ll open the right gripper while holding its pose, then inspect the release. I initially considered 3 control steps. The left arm can continue toward the white basket’s center. A target of [−0.303, 0.06, 1.018] m is approximately 0.095 m from its current pose and might now pass the precheck. Alternatively, I could target [−0.30, 0.04, 1.018] m, an estimated distance of 0.073 m. The first direct target had a position error of 0.037 m, and the intermediate motion moved the arm about 0.05 m, so perhaps the center target will now pass. I’ll use [−0.303, 0.055, 1.018] m, initially considering 6 steps while releasing the pepper. Would 3 opening steps be enough to reach an opening command of 1? Starting from 0.345, I estimate an increase of 0.2 after 3 steps, giving 0.545, which is not fully open. The release might need 6 steps, which could bring the command to about 0.89. I’ll use 5 steps for the combined action, keeping the left target’s y coordinate at 0.055 m.

The left arm still cannot make the proposed 0.083 m forward move with the end-to-end grasp orientation. I should reorient it for placement, using a forward-down pose similar to the right arm’s, perhaps mirrored. With the white basket ahead at y = 0.055 m, link6 could remain around y = −0.05 m while the held car extends approximately 0.09 m along world +Y. The left gripper’s current quaternion is [0.5, 0.5, 0.5, −0.5] in wxyz order. Its local Y axis points along world +X, so the fingers close along the car’s long X axis. I want to preserve that closing axis while tilting the fingers forward along +Y and downward. I can choose local X = [0, 0.707, −0.707], local Y = [1, 0, 0], and local Z = local X × local Y = [0, −0.707, −0.707]. This differs from the right arm’s desired orientation, whose local Y axis points along world −X. Checking the left orientation again, its local Y does point along world +X. The desired quaternion might be [0.2706, −0.6533, 0.6533, −0.2706], but I should compute it with scipy rather than rely on that estimate. The rotation matrix would have columns [0, 0.707, −0.707], [1, 0, 0], and [0, −0.707, −0.707], giving rows [[0, 1, 0], [0.707, 0, −0.707], [−0.707, 0, −0.707]]. The current orientation has local X along world −Z, local Y along +X, and local Z along −Y. Applying a +45° rotation about world X produces the desired forward-down direction while leaving local Y unchanged. Thus q_des = Rx(45°) × q_current, using an X-rotation quaternion of approximately [0.924, 0.383, 0, 0]. The orientation change is 45°, approximately 0.785 rad, below the 1 rad command limit. Would this tilt the car’s nose? Since it preserves the closing axis and rotates the car 45° about its long world-X axis, it should roll the car while retaining the end-to-end grasp. The container task has no orientation requirement, so placing it on its side is acceptable if it fits and remains contained. For a desired car center at [−0.303, 0.06, 0.84] m, I am assuming its center lies approximately 0.13 m along the gripper’s local X axis. After tilting, that gives an offset from link6 of [0, 0.092, −0.092] m, implying a link6 pose of [−0.303, −0.032, 0.932] m. The current left pose is [−0.272, −0.028, 1.014] m, so its y coordinate is already suitable; that placement would require changes of −0.031 m in x and −0.082 m in z, plus the 45° rotation. I could instead target [−0.303, −0.028, 0.95] m with the desired quaternion. Assuming the car center is indeed at local x = 0.13 m, tilting would put its center at y = 0.064 m and z = 0.95 − 0.092 = 0.858 m. Depending on its rolled orientation, its bottom might be around z = 0.82 m, inside the basket. I could combine rotation and lowering in an action of perhaps 5 control steps, with an orientation change of 0.785 rad and an estimated position distance of 0.084 m. I expect that target may pass the precheck. The right arm can hold its pose and release the pepper simultaneously. First, I’ll compute the exact desired left quaternion.

The desired left-gripper quaternion is [0.2706, 0.6533, 0.6533, −0.2706] in wxyz order. I interpret its small w component as a 252° rotation, equivalent to −108°, while its orientation differs from the current pose by 45°. I’ll target the left link6 at [−0.303, −0.028, 0.95] m with this quaternion, keeping the car grasped. I’ll open the right gripper to release the pepper and use 6 control steps.

The left target still fails the precheck, with a rotation residual of about 24°. I should rotate at the current position first, then lower the arm. I could keep the left link6 at [−0.272, −0.028, 1.014] m and target the full desired orientation while releasing the pepper with the right gripper. The 45° rotation is within the command limit, and the precheck might pass; if it fails, I would need a 22.5° intermediate rotation. I’ll choose the smaller intermediate rotation now to ensure the step works, keeping the left position unchanged and planning to release the pepper with the right gripper. First, I’ll compute the quaternion as Rx(22.5°) × q_current.

I’ll keep the left arm at its current position and rotate it to the intermediate orientation while holding the car. I’ll hold the right arm in place and open its gripper to release the pepper into the blue basket. I’ll use 5 control steps.

The green pepper is visible standing in the blue basket after release. I should retract the empty right gripper upward and backward to avoid the basket. One possible target is [0.1, −0.15, 1.06] m, retaining its current quaternion; I could switch to a top-down orientation later for the next red pepper. I can combine the retraction with the left arm’s placement motion. The left gripper has tilted only about 13°. The car is still above the white basket, and its front wall is visible in the wrist view with no apparent collision. I could try the final 45° tilt at position [−0.303, −0.028, 0.95] m. That would require about 32° more rotation and a position change of approximately 0.07 m, so the precheck might now pass. If it fails, I would need a smaller intermediate move. Alternatively, I can first reach the 22.5° intermediate orientation, then proceed to the final tilt. Comparing the current quaternion [0.454, 0.542, 0.542, −0.454] with the intermediate quaternion beginning [0.3928, 0.5879, …], I estimate their dot product as 0.178 + 0.319 + 0.319 + 0.178 = 0.994, giving an orientation difference of 0.217 rad, or 12.4°. Targeting that intermediate orientation at [−0.29, −0.028, 0.99] m would lower the left wrist by 0.025 m and change its x coordinate by −0.018 m. I expect this smaller move to pass, after which I can attempt the final tilt. For the right arm, I’ll choose the nearer retraction target [0.05, −0.10, 1.02] m from its current position [0.005, −0.035, 0.94] m, an estimated distance of 0.114 m, while retaining its quaternion. Moving upward and backward with empty fingers looks safe. I’ll use 6 control steps for this retraction and the left arm’s move to [−0.29, −0.028, 0.99] m with the 22.5° intermediate orientation, keeping the car grasped.

The green pepper is stable in the blue basket. In the high-camera view, the left car may already be partly inside the white basket: the gripper holds the yellow portion at the front edge, and the turquoise portion below it may be inside the front. I should finish tilting and lowering it toward link6 target [−0.303, −0.028, 0.95] m with the 45° tilt quaternion. I estimate the remaining rotation at about 26° and the position change at about 0.05 m, so I expect the precheck may pass. For the right arm, I could retract to [0.12, −0.16, 1.04] m before picking the right car or red pepper. From its current position [0.035, −0.079, 0.995] m, I estimate that distance at 0.132 m. I could retain its quaternion initially, then rotate for a top-down grasp. Another possible approach target is [0.25, −0.20, 1.03] m near the front-right red pepper or right bus while the left arm finishes placement. I need to decide the next pair of objects. The right arm could pick the right bus near x = 0.14 m, y = −0.11 m or the red pepper near x = 0.194 m, y = −0.225 m. After placing the car, the left arm could pick the left wooden toy or left red pepper. I have used 169 control steps and have 931 remaining. The first object took about 100 steps while I learned the grasp geometry; subsequent grasps should be faster with that knowledge. Taking the right bus to the left basket would require crossing inward, but I now know a forward-down placement pose. The nearby red pepper going into the blue basket seems a better next choice. The left red pepper near [−0.08, −0.168] m can be handled by the left arm later. Both wooden toys need to go into the right basket, whose center I estimate at x = 0.303 m, y = 0.06 m. Reaching there with the left arm may require crossing about 0.5 m, so the right arm seems better suited to both toys. I considered assigning the right arm the right red pepper, right wooden toy, and perhaps center car, while the left arm handled the left red pepper and left wooden toy. However, moving the left toy to the right basket could require about 0.6 m of crossing, which initially seems impossible. A better tentative assignment is for the right arm to handle both wooden toys and for the left arm to handle all three cars, provided it can reach the right car at x = 0.14 m with a forward grasp. My tentative count is four remaining objects for the right arm—two peppers and two wooden toys—and three for the left arm—two cars and the left pepper. The green pepper is done and the first car is nearly placed. A possible sequence is the right red pepper and center car next, followed by the left pepper and right wooden toy, then the right car and left wooden toy. The left wooden toy is near x = −0.176 m, y = −0.214 m. From the right arm’s base at x = 0.3 m, that involves about 0.476 m of crossing. It is closer in y but farther in x than the right arm’s successful pose near x = 0.005 m, y = −0.035 m. A forward orientation or leftward wrist tilt might make the pickup reachable; I am unsure whether top-down would work. Although a 0.6 m left-to-right transfer initially seems impossible, an extended arm with fingers pointing forward and right might make it possible. Moving the basket is permitted but may be unnecessary, and a handoff between arms at the center would be complex. I can adapt the allocation when I test the reach. For now, I should complete the left placement and move the right arm toward the front-right red pepper. I considered six steps for the left arm’s final target. The right gripper is open, with opening command 1, and currently has the 45° forward-down orientation. The original top-down quaternion [0.707, 0, 0.707, 0] should suit this pepper, with closure along world Y. The pepper at x = 0.194 m, y = −0.225 m is about 0.2 m from the red basket behind it near y = 0, so there should be more clearance than during the green-pepper grasp. That grasp succeeded near link6 z = 0.93 m, and I estimate this red pepper’s center height at about z = 0.80 m. The rotation from the right carry quaternion [0.653, −0.271, 0.271, 0.653] to the top-down quaternion [0.707, 0, 0.707, 0] needs an intermediate orientation. Their dot product is approximately 0.653 × 0.707 + 0.271 × 0.707, or 0.462 + 0.192 = 0.654. I briefly estimated it at about 0.653. The resulting rotation is about 1.428 rad, above the 1 rad command limit; a spherical-interpolation midpoint would require about 0.714 rad. I could rotate to that midpoint while moving to [0.19, −0.22, 1.02] m. From [0.035, −0.079, 0.995] m, I estimate the move at about 0.21 m, more specifically 0.211 m, within the 0.25 m limit. The path above the table appears unobstructed. Averaging the quaternions gives [1.360, −0.271, 0.978, 0.653]; using an estimated norm of 1.809 gives midpoint [0.752, −0.150, 0.541, 0.361]. I briefly wondered whether its dot product with the current quaternion was about 0.979, implying about 0.4 rad, but the midpoint of the 1.428 rad rotation should be 0.714 rad. The rounded midpoint also gives a norm expression of sqrt(0.566 + 0.0225 + 0.293 + 0.130), which I estimated at 1.0115, so I should compute it precisely rather than use these rounded components. An alternative is to retain the current right orientation while moving near the pepper and rotate afterward. I considered ten steps for the roughly 0.21 m move, though actual motion might be only about 0.12 m and require another action, alongside six steps for the left placement. My current plan is eight steps with the right pregrasp target [0.194, −0.225, 1.03] m and an exact midpoint quaternion. I’ll first compute that quaternion in Python, then issue the robot action.

I initially thought the midpoint formula was wrong, but checking it confirms that it is correct: q = [sin((1 − t)θ)q0 + sin(tθ)q1] / sin θ. At t = 0.5, both weights are sin(0.5θ), which is what I used. The printed total rotation, 2θ, is approximately 1.717 rad. The estimated quaternion dot product of 0.654 gives θ ≈ 0.859 rad and a total rotation of approximately 1.718 rad. The midpoint requires only 0.859 rad of rotation, below the 1 rad limit, and its quaternion has unit norm. For the left wrist, the current quaternion is [0.413, 0.573, 0.574, −0.414], and the final target is approximately [0.2706, 0.653, 0.653, −0.2706]. Their dot product is approximately 0.112 + 0.374 + 0.375 + 0.112 = 0.973, giving an orientation difference of approximately 0.465 rad, also below the 1 rad limit. I’ll use 8 control steps to move the left wrist to its final placement pose at z = 0.95 m while keeping the car grasped, and move the open right gripper toward the front-right red pepper using the midpoint quaternion.

The left arm still cannot reach the final position and orientation; perhaps it is near its reach limit. Could I simply release the car now? In the high-camera view of obs_000169, I estimate the yellow part at pixel (188, 161) and the turquoise part at (199, 194). The white basket interior spans approximately x = 130–240 and y = 145–205 pixels. The held car’s center may be around (190, 170), which appears fully over the interior. The current left link6 position is [−0.286, −0.025, 0.997] m, with a top-down tilt of approximately 18°. I estimate its local X direction as (0, sin18°, −cos18°), using approximately 0.309 for the sine and 0.951 for the cosine. Assuming the car center is offset 0.13 m along local X gives offsets of approximately +0.04 m in world Y and −0.124 m in world Z, placing the car center at [−0.286, 0.015, 0.873] m. The white basket center is around y = 0.06 m, and its interior may span y = −0.01 to 0.12 m. The car would therefore be near the front but still inside. Its bottom is approximately z = 0.84 m, about 0.05 m above the basket bottom at z = 0.79 m, so I expect a stable drop. Is the car already over the interior and above the rim? The high-camera view appears to place it within the white basket’s boundaries. Releasing now would likely let it fall inside near the front, without another difficult attempt to lower the wrist. This container placement has no orientation requirement. I’ll hold the left wrist at its current pose and open the gripper, then verify the placement after release. At the same time, I’ll move the open right gripper toward the red pepper using the previously computed midpoint quaternion. I’ll use 8 control steps.

The dot product between the right wrist’s current quaternion and the top-down target is approximately 0.708 × 0.707 + 0.386 × 0.707 = 0.5008 + 0.273 = 0.774. The orientation distance is 2acos(0.774), approximately 1.366 rad, not my earlier estimate of 0.81 rad. I had estimated acos(0.774) at about 0.68, but must double it, giving about 1.36 rad. This exceeds the 1.0 rad command limit. I should use an intermediate quaternion by averaging the current and top-down quaternions and normalizing the result. Half of the approximately 1.36 rad total rotation is about 0.68 rad. Their sum is approximately [1.4153, −0.2278, 1.0933, 0.5454], with a norm of sqrt(2.003 + 0.052 + 1.195 + 0.297) = sqrt(3.547), approximately 1.883. This gives an estimated midpoint quaternion of [0.7515, −0.1210, 0.5806, 0.2896] in wxyz order. The previously planned intermediate quaternion [0.748, −0.149, 0.538, 0.359] is not the midpoint from the current orientation. I’ll compute the new midpoint precisely in Python before using it.

I’ll use the newly computed midpoint quaternion [0.7514093492, -0.1209320326, 0.5804550839, 0.2895364036] in wxyz order for the right wrist’s intermediate rotation toward the top-down grasp pose.

The front-right red pepper is visible near pixel (500, 370) in the right wrist view, with one gripper finger near x = 0 pixels and the other near x = 550 pixels. I should center the right link6 above the pepper at world x = 0.194 m and y = −0.225 m; its current x = 0.169 m and y = −0.199 m are still short of that target. Returning to the original top-down quaternion should give a camera view similar to the earlier grasp. The left link6 is currently at [−0.177, −0.078, 1.023] m. The central yellow car is estimated at x = 0.012 m and y = −0.121 m, so I’m considering an approach target of [0.012, −0.121, 1.0] m, approximately 0.195 m away. The left gripper already has the top-down orientation for an end-to-end pinch. Its wrist view currently shows the baskets rather than the central car. Is that because the rotated camera looks toward world −X, leaving the car to the left of the view? Moving above x = 0.012 m should bring the car into view. I’ll move both open grippers above their targets, retaining the left orientation and finishing the right rotation to top-down. I estimate the left target [0.012, −0.121, 1.0] m to be within 0.195 m, and the right target [0.194, −0.225, 0.98] m to require about 0.033 m of translation and 0.686 rad of rotation. I’ll use 12 control steps; the left arm may reach near x = 0 m, while the right wrist moves toward its final orientation.

The car’s estimated long-axis vector in world XY is [+0.051, −0.043] m, giving an angle of atan2(−0.043, 0.051) ≈ −40°. The left gripper’s current closing axis, local Y, points along world X at 0°. I’ll rotate it −40° about world Z so that the closing direction becomes [cos(−40°), sin(−40°)] and aligns with the car’s long axis. The new orientation is q_new = Rz(−40°) × q_end. This 40° rotation is within the 1 rad limit, leaves local X pointing along world −Z, and aligns local Y with the desired axis. Will the object appear to rotate +40° in the camera view? I may have interpreted that direction oppositely earlier, but the world-frame geometry is clear. The car may appear horizontal after the rotation. The car’s estimated center is now approximately [0.0124, −0.1157, 0.79] m, rather than the previous y estimate of −0.121 m. I’ll center the left link6 at [0.012, −0.116, 0.98] m for the pregrasp. Its current position is [0.003, −0.122, 0.999] m, so this is a small translation combined with the −40° rotation. The right wrist has roughly 0.18 rad of rotation remaining to reach top-down. The red pepper’s estimated center is [0.198, −0.222, 0.79] m. I could first align link6 at [0.198, −0.222, 0.98] m and then descend, perhaps initially to z = 0.96 m. Alternatively, I can descend to z = 0.94 m while the left wrist rotates. The current right quaternion is [0.725, −0.028, 0.685, 0.064], already nearly top-down, with an estimated orientation residual of about 0.2 rad. The descent to z = 0.94 m is 0.04 m; three steps might produce only about 0.025 m of actual descent, so I’ll use four. The left rotation may remain incomplete after four steps, which is acceptable. The right target should bring the pads to the object at table level. The green-pepper grasp succeeded with closure near link6 z = 0.93 m, and this red pepper appears similar. My planned four-step action will target the left link6 at [0.012, −0.116, 0.98] m with q_new and the right link6 at [0.198, −0.222, 0.94] m with the top-down quaternion. First, I’ll compute q_new precisely.

The new left-gripper quaternion is [0.2988, 0.6409, 0.2988, −0.6409] in wxyz order. Its dot product with the current end-to-end grasp quaternion is 0.1494 + 0.3204 + 0.1494 + 0.3204 = 0.9397, giving an orientation difference of approximately 0.698 rad, within the 1.0 rad limit. I’ll use 4 control steps for the planned left-gripper alignment and right-gripper descent.

The right link6 is at z = 0.941 m, and the red pepper is between the fingers, so I can close the right gripper. The left wrist has rotated only partway, approximately 17° of the intended 40°. The car now appears less diagonal in the wrist view, with its long axis at roughly 15°, but I still need to finish the gripper alignment and descend toward z = 0.95 m. The left link6 is currently at z = 0.982 m. The car roof may be at z = 0.79 m, while the fingertips are at approximately z = 0.824 m, above it. I considered descending to z = 0.935 m, putting the tips at approximately z = 0.777 m, while completing the rotation to q_new. I estimate the remaining orientation change at 0.47 rad and that descent at 0.047 m. Four control steps might bring the wrist to z = 0.95 m, while I planned three steps for the right closure. I’ll use three steps for both arms, targeting the open left gripper at z = 0.94 m with q_new and closing the right gripper around the pepper.

The right gripper’s opening command is 0.442, which likely indicates contact with the pepper, whose width I estimate at 0.07 m. The left wrist has not yet reached its final orientation, but the yellow car’s long axis appears almost horizontal, at roughly 10°. I still need to finish the left rotation to q_new and lower link6 to z = 0.935 m. Should I continue the right closure for another 3 steps or test the grasp with a lift now? The opening command reached 0.442 after 3 steps, so closure may still be progressing. I’ll continue closing the right gripper for 3 more steps while keeping the left gripper open and completing its alignment and descent over the same 3 steps.

The left link6 is at z = 0.94 m, and the yellow car is nearly aligned between the fingers. I estimate that the left wrist still has about 0.32 rad of rotation remaining to its target, but perfect alignment is unnecessary because the car’s long axis currently appears horizontal. I can close the left gripper now while test-lifting the right pepper. I’ll use 3 control steps to close the left gripper and lift the right link6 toward z = 0.975 m.

The red pepper stayed the same size and position in the right wrist view between observations 211 and 214, confirming that it is held. In the high-camera view, it appears at approximately pixel (429, 283), compared with (425, 291) previously, which also indicates that it lifted. The left gripper’s opening command is 0.587. Closure may still be incomplete, or the fingers may be contacting the car, whose length I estimate at 0.07 m. I should repeat closure before test-lifting the car. I considered 3 more closure steps; I’ll use 4 control steps for the combined action, continuing the left closure while raising the right link6 toward z = 1.04 m, a planned lift of 0.069 m.

The right link6 reached z = 1.014 m after 4 control steps toward the z = 1.04 m lift target, and the red pepper remains fixed relative to the wrist camera. The left gripper’s opening command is stable at 0.579, so I should test-lift the yellow car toward link6 z = 0.975 m. I initially considered 3 steps for that lift. For the right arm, I could first move in the current top-down orientation to [0.18, −0.12, 1.06] m, closer to the blue basket, and rotate afterward. However, the earlier direct top-down approach to the basket center failed. I’ll instead begin rotating toward the forward-down placement quaternion [0.653, −0.271, 0.271, 0.653] in wxyz order while moving toward the basket. The total rotation from top-down is approximately 1.718 rad, so I’ll use the previously computed midpoint quaternion [0.748, −0.149, 0.538, 0.359], requiring approximately 0.859 rad of rotation. I’ll target the right link6 at [0.16, −0.12, 1.06] m, estimating the move at 0.113 m. Could this carry the pepper above the bus near x = 0.14 m and y = −0.11 m? I estimate the held pepper’s current center height as 1.014 − 0.13 = 0.884 m and its bottom at about 0.85 m. At link6 z = 1.06 m, I estimate its center at 0.93 m and bottom at 0.90 m, clear of the bus top at about 0.80 m. I’ll combine this motion with the left car’s test lift and use 5 control steps.

The left gripper’s opening command is now 0.0, the fingers appear fully closed in front of the yellow car, and the car became smaller in the wrist view during the lift. The grasp failed, and the car remains on the table. Did it slip out during closure? The opening command was 0.587 in observation 214 and 0.579 in observation 218, but it reached 0 after the wrist lifted to z = 0.975 m. In observation 214, the car appeared between the fingers; in observation 223, it appears above the closed fingers and smaller. Why did the end-to-end grasp work for the first bus but fail for this sports car? Perhaps the car is too long, the fingers contacted its curved ends and slipped inward during closure, or the grasp was too high to provide enough contact. I should try a side pinch instead. One option is the original top-down 90° Y orientation, centered over the car at a lower link6 height of 0.925 m. I estimate the car body’s width at about 0.04 m, so its sides may provide stable contacts. Could the nearby basket interfere? The car center is at y = −0.116 m, and the blue basket’s front may be at y = −0.02 m. An open rear finger at y = −0.056 m could approach a front wall that may instead be at y = −0.03 m. Perhaps the first bus’s opening command stopped at 0.8 because its rear finger contacted the basket; the sports car could encounter the same issue. Could I grasp and drag the car forward, toward world −Y? Another option is an angled side pinch that aligns the closing direction perpendicular to the car’s long axis and helps a finger avoid the basket. The car’s long axis is at approximately −40° in world XY, so its narrow axis is at +50°. I’ll align local Y, the closing axis, with that narrow axis: [cos 50°, sin 50°] ≈ [0.643, 0.766]. Starting from the end-to-end quaternion q_end, whose local Y axis points along world X, I can form q_narrow = Rz(+50°) × q_end. Is this equivalent to adding a 90° rotation to the previous −40° long-axis orientation? I’ll compute the quaternion. Will the car appear rotated in the wrist view? Its length should then appear vertical, with the fingers closing horizontally across its width. Contacting the body sides may be more stable than gripping the curved bumpers. A lower link6 height of 0.925 m would put the tips at approximately z = 0.767 m, slightly penetrating an estimated table height of 0.77 m, but I expect the gripper to stop around z = 0.93 m. The first bus’s side grasp failed at link6 heights of 0.936 m and 0.931 m; perhaps it was not centered along local Y. This sports car may be better centered and have a wider body with flat sides. I’ll use z = 0.93 m with q_narrow for the eventual grasp. The left link6 is currently at [0.012, −0.116, 0.975] m, and the gripper is closed with opening command 0, so it needs to reopen. I considered reopening and rotating at z = 0.98 m before descending. The red pepper remains held by the right gripper. Its current quaternion is [0.734, −0.046, 0.668, 0.11], and the intermediate target is approximately [0.748, −0.149, 0.538, 0.359], both in wxyz order. Their estimated dot product is 0.549 + 0.0068 + 0.36 + 0.0395 = 0.955, giving an orientation difference of about 0.60 rad. Moving from the current position [0.182, −0.182, 1.031] m to [0.16, −0.12, 1.06] m is approximately 0.068 m; the preceding action only moved partway toward that target. I’ll target the same intermediate pose again, then proceed toward the final forward-down quaternion q_des. A direct rotation to q_des has an estimated dot product of 0.479 + 0.012 + 0.181 + 0.072 = 0.744 and an orientation distance of 1.462 rad, exceeding the 1 rad command limit, so the midpoint is necessary. I’ll plan 6 control steps for the right arm’s continued transport while reopening and rotating the left gripper at its current height of z = 0.975 m. First, I’ll compute q_narrow.

The desired narrow-axis quaternion is approximately [0.664, 0.242, 0.664, −0.242] in wxyz order, while the left wrist’s current long-axis quaternion is approximately [0.299, 0.641, 0.299, −0.641]. The rotation between them is 90°, or approximately 1.571 rad, so I need an intermediate orientation. The current long-axis orientation is Rz(−40°) × q_end, and the narrow-axis orientation is Rz(+50°) × q_end. The halfway orientation should therefore be Rz(+5°) × q_end. My initial tentative guess for its w component is about 0.489. Alternatively, I can add the long-axis and narrow-axis quaternions and normalize the result: their approximate sum is [0.963, 0.883, 0.963, −0.883], and using an estimated norm of 1.746 gives [0.5515, 0.5057, 0.5515, −0.5057]. I think this corresponds to Rz(+5°) × q_end. The halfway rotation is approximately 0.785 rad. I’ll use scipy to compute the exact intermediate quaternion.

My earlier quaternion average was wrong. Using the long-axis quaternion’s actual rounded components, beginning with 0.298 and 0.643, the sum with the narrow-axis quaternion is approximately [0.962, 0.885, 0.963, −0.879]. With a norm of approximately 1.84, this normalizes to [0.522, 0.480, 0.522, −0.478] in wxyz order. This agrees with the precisely computed left intermediate quaternion. I’ll use 6 control steps to reopen the left gripper and rotate it to that intermediate orientation at link6 position [0.012, −0.116, 0.98] m, moving slightly upward. At the same time, I’ll keep the right gripper closed around the pepper and continue toward its intermediate carry orientation at link6 position [0.16, −0.12, 1.06] m.

In the high-camera view, the held red pepper now appears near pixel (428, 203), over the front of the red basket rather than the blue basket. The right wrist’s rotation seems to have swung it toward the red basket, but it is still held. The right link6 is at [0.165, −0.137, 1.051] m. Is the pepper currently oriented mostly downward? I’ll finish the intermediate rotation, then continue toward the final forward-down carry orientation and the blue basket. In that final orientation, the pepper extends along world +Y and downward; a link6 position with x = 0.005 m and y = −0.035 m should let it reach the blue basket center near x = 0 m and y = 0.06 m. The left wrist’s measured quaternion is still approximately [0.38, 0.596, 0.38, −0.596] in wxyz order. I estimate this corresponds to a −25° world-Z rotation relative to the end-to-end grasp orientation, whereas the intermediate target is +5°. It has progressed about 15° of the intended 45° rotation. The car currently appears horizontal in the wrist image; for the side pinch, I want it to appear vertical, so more rotation is needed. Going directly from the estimated −25° orientation to the +50° narrow-axis target would require 75°, or approximately 1.309 rad, exceeding the 1 rad limit. I’ll repeat the +5° intermediate target, about 30° or 0.524 rad away, before proceeding to the final orientation. I estimate the right wrist’s remaining rotation to its intermediate target at about 0.49 rad, which is acceptable. I’ll use 6 control steps to continue both intermediate rotations, keeping the left gripper open and the right gripper closed around the pepper. I’ll also lower the left link6 to z = 0.96 m; its fingertips would be near z = 0.802 m, above the estimated car roof at z = 0.79 m, so I judge that safe. The right link6 target will remain [0.16, −0.12, 1.06] m.

I estimate the left wrist’s world-Z rotation relative to the end-to-end grasp orientation at about −10°, compared with the +5° intermediate target. Does its quaternion component of 0.455 instead suggest approximately −13°? Moving directly to the narrow-axis grasp orientation may require about 60°, or 1.047 rad, slightly exceeding the 1 rad limit. I’ll target the +5° intermediate orientation again, then continue to the narrow-axis orientation. The right wrist is nearly at its intermediate quaternion: its measured [0.75, −0.141, 0.55, 0.339] is close to the target [0.748, −0.149, 0.538, 0.359], with an estimated orientation difference of 0.08 rad. I can now target the final forward-down carry orientation, estimating a remaining rotation of 0.859 rad, while moving link6 to [0.08, −0.07, 1.04] m toward the blue basket. This follows a path similar to the earlier successful right-arm placement, from [0.198, −0.222] m through [0.16, −0.12] m. I estimate the proposed translation at 0.094 m and the rotation at 0.859 rad, within the command limits. The precheck may pass. I’ll keep the left position target at z = 0.96 m while continuing its intermediate rotation, with that gripper open and the right gripper closed around the pepper. I considered 8 steps for the right motion and perhaps 4 for the left, but I’ll use 6 control steps for the combined action.

The left wrist has reached its intermediate orientation, and the car appears diagonal at about 55° in the wrist view. I’ll rotate to the narrow-axis grasp orientation, which is a +50° world-Z rotation relative to the end-to-end orientation. The remaining rotation is about 45°, or 0.785 rad. I’ll keep the left gripper open and lower link6 to z = 0.935 m, perhaps using 4 control steps. For the right arm, I’ll continue toward the final forward-down carry orientation and target link6 position [0.03, −0.05, 1.0] m. I estimate the translation at 0.095 m and the remaining orientation change at about 0.5 rad, so the precheck may pass. This resembles the earlier successful approach from [0.125, −0.1, 1.064] m toward [0.06, −0.06, 1.02] m, although that action moved only partway toward its target. I considered 6 steps for the right arm and 4 for the left. Since both arms share the step count, I’ll use 6 steps for both. The left arm can complete its approximately 0.023 m descent to z = 0.935 m and hold there while the right arm continues carrying the pepper with its gripper closed.

The left wrist has not reached its final orientation; I estimate its world-Z rotation at 25° rather than the target 50°. The car’s long axis appears nearly vertical but diagonal from the upper left to the lower right in the wrist image. The fingers are at the lower left and right, positioned to close across its width, but is the car actually between them? I estimate the car’s image bounds as x = 60–394 and y = 80–410 pixels, with its center near (227, 245). The left finger spans approximately x = 0–130 pixels, while the right finger appears to start around x = 520, with its extent unclear. The open gap looks large, and the car’s center at x = 227 is offset from the image center at x = 320. The measured left end-effector coordinates, x = 0.007 m and y = −0.112 m, are close to the estimated car coordinates, x = 0.012 m and y = −0.116 m. Could the wrist camera’s offset and incomplete rotation explain the apparent image shift? Where does the fingertip center project, and would completing the rotation improve the alignment? The car may also have moved during the failed grasp. Its original head-camera center was around (326, 242) pixels; I now tentatively estimate (331, 244), or perhaps (328, 242). I could triangulate using head-camera center (328, 242) and wrist-camera center (227, 245), but I would need to ensure these correspond to the same point, perhaps the roof center. My target at x = 0.012 m and y = −0.116 m may be off in y by only 0.005 m. What world-y offset would an apparent wrist-image displacement of about 93 pixels at a depth of 0.14 m imply? It may instead reflect the camera offset, since the projected grasp point need not coincide with the image center. I’ll use the current calibration to project the estimated car point [0.012, −0.116, 0.79] m and the current fingertip position, then compare their image locations to assess alignment.

The car’s calculated projection is at approximately (270, 319) pixels, compared with my tentative visual estimate of its center at (240, 250) pixels; that seems reasonable. The fingertip center projects at x = 320 pixels, so the estimated car point is about 50 pixels to its left. Could the offset along the closing axis be approximately 0.005 m? At a depth of 0.14 m, I estimate that 50 pixels corresponds to 0.0176 m. I should shift the end effector along local Y to center the object, but I need to establish the direction first. The object projects at x = 270 pixels, left of the fingertip center at x = 320 pixels. Does camera-right correspond to negative local Y? In the original top-down orientation, camera-right was world −Y, or −local Y, so would an object displaced along negative local Y project to the right? I’ll check the current camera rotation using the calibration. The gripper’s local Y axis has world components approximately [0.936, 0.349, −0.037]. What is the dot product between the camera-right direction, the first row of the camera rotation matrix, and this local Y direction?

The estimated car point projects at x = 270 pixels, to the left of the fingertip center. Since camera-right corresponds to negative local Y, the car is displaced along positive local Y relative to the gripper. Should I move the end effector in that direction to align it? Yes: moving along positive local Y would move the fingertip projection left, toward the car. Perhaps I should shift the end effector by 0.01 m along local Y. Before choosing the correction, I’ll calculate the local-Y component of P − eef, where P is the estimated car position and eef is the measured left link6 position.

The local-coordinate calculation initially suggests shifting the left end effector by +0.009 m along local Y, to approximately [0.015, −0.109, 0.930] m. The current target at x = 0.012 m and y = −0.116 m appears offset by 0.009 m along the closing direction. Could this also explain the failed end-to-end grasp? An offset of 0.009 m along the car’s long axis could have made the finger contacts asymmetric; I would still expect a grasp, but it might slip. I initially considered correcting the target to [0.015, −0.109, 0.93] m while finishing the narrow-axis orientation. However, completing the rotation changes local Y to the car’s narrow-axis direction at 50°, approximately [0.643, 0.766, 0]. The estimated car position has x = 0.012 m and y = −0.116 m. With a fully top-down gripper at any yaw, the fingertips have the same x and y coordinates as link6, so the grasp center should lie directly below it. I should therefore align link6 with the car’s estimated world x and y coordinates rather than apply a correction along the current local Y axis. The measured end effector at x = 0.007 m and y = −0.112 m differs from the estimated car position by [0.005, −0.004] m. The original target of x = 0.012 m and y = −0.116 m is appropriate. The calculated 0.009 m local-Y offset also includes the effect of the current wrist’s slight tilt. The final narrow-axis quaternion, formed as Rz(50°) times the end-to-end quaternion, points local X exactly along world −Z. The measured quaternion [0.58, 0.388, 0.582, −0.419] is still an intermediate orientation and may not be exactly top-down. From the earlier fingertip calculation, I estimate offsets of −0.0046 m in x and −0.0018 m in y over a finger extent of approximately 0.157 m, corresponding to a small tilt of about 1.7°. The local-Y offset includes the roughly 0.007 m horizontal discrepancy and the object’s vertical displacement. I will not add the extra 0.009 m shift; the final alignment target is suitable. I should finish the left narrow-axis orientation at link6 z = 0.931 m before closing. The approximate quaternion dot product is 0.58 × 0.664 + 0.388 × 0.242 + 0.582 × 0.664 + (−0.419) × (−0.242) = 0.385 + 0.094 + 0.387 + 0.101 = 0.967, giving an orientation difference of about 0.51 rad. Three control steps might reach it. For the right arm, I’ll continue toward the pepper placement target [0.005, −0.035, 0.94] m with the final forward-down quaternion. From the measured position [0.082, −0.059, 1.034] m, I estimate a target distance of 0.122 m. The approximate quaternion dot product is 0.468 + 0.056 + 0.098 + 0.366 = 0.988, giving an orientation difference of about 0.31 rad. I can lower it directly while finishing the left alignment. I’ll use four control steps for both arms; the right link6 may reach only about z = 0.96 m. The left gripper will remain open, and the right will remain closed around the pepper.

The right arm moved only about 0.013 m in four control steps, perhaps because the combined rotation and translation were scaled together. It may need more steps. The left link6 is at z = 0.925 m, below the desired z = 0.931 m. Could it be contacting the table, or did it overshoot during the descent? Its orientation is still short of the target. The yellow car looks large in the left wrist view, but is it between the fingers? It appears to span x = 50–372 pixels, while the left finger spans x = 0–128 and the right finger is near x = 520. The gap is wide, and the car’s apparent center is at x = 211 rather than the fingertip center at x = 320. Perhaps the car’s world position has shifted. In the high-camera view, I estimate its center at (330, 242) pixels. My world-coordinate target of x = 0.012 m and y = −0.116 m projects to (326, 242), whereas a center at (330, 242) might imply world x = 0.022 m. I should refine the current car-center estimate using corresponding points in the high and wrist views. Yellow-color segmentation could provide a centroid, though the roof and body shape affect that estimate; I am considering a centroid height of z = 0.78 m. The yellow region’s high-camera bounding box may span x = 315–345 pixels, but the car may be partly beneath the left gripper. On another look, the visible yellow portion seems closer to (327, 243). I could crop the high-camera image to inspect the coordinates or use a color threshold. I’ll segment the yellow connected components and obtain their bounding boxes and centroids across the selected observations. In the high-camera view, the sports car is near (330, 240), the bus near (390, 240), and the yellow car already in the white basket near (190, 180). The gripper may occlude part of the sports car, so I’ll keep that limitation in mind.

The gripper splits the sports car’s visible yellow regions in the head-camera image. Their centroid is around pixel (329, 247), compared with my original assumed center of (326, 242). The actual geometric center might be (326, 245) instead. Initially, the car spanned approximately x = 312–341 and y = 229–256 pixels, with a center at (326.5, 242.5). After the grasp attempts, its center may be around (330, 249), suggesting movement downward in the image, along positive image Y, and a decrease of approximately 0.01 m in world Y. My target still uses world y = −0.116 m, but the car may have moved toward the front to y = −0.13 m. That would explain the side-grasp misalignment. I should update its position using the current head and wrist views. In obs_000223, after the failed lift, the visible car region spanned x = 320–346 and y = 238–260 pixels, with a centroid at (333.7, 248.9), so its geometric center might have been around (332, 247). This suggests a shift of approximately +6 pixels in X and +5 pixels in Y from the original position due to the grasp. In observations 247 and 251, the gripper obscures the car, but its visible ends are near x = 309 and x = 338 pixels. Those suggest another possible center around (324, 247), so the center estimate remains uncertain. I should triangulate distinct corresponding features rather than rely on the partially occluded centroid. The car is large and unobstructed in the current wrist view, with its roof center perhaps around (214, 263). The roof is obscured in the head view, but the hood and rear end remain visible. The yellow front hood near wrist pixel (330, 385), at the bottom right, might correspond to the head-camera front component at (338, 257). Alternatively, the rear trunk near wrist pixel (140, 140), at the top left, might correspond to the head-camera rear component at (313, 240). The segmented head-camera rear component has a center at (314.4, 242.2); its corresponding yellow rear region in the wrist view may be near (139, 151). The front component is at (338.4, 257), with the wrist-view hood perhaps near (328, 378). I need to check the feature identities more carefully. In the current left-wrist view, the top rear may be at (165, 96), the black rear windshield center at (166, 208), and the yellow trunk around (113, 159). In obs_000201, the car extended from approximately (218, 130) to (385, 256) in the wrist image. Was its top-left end the rear with the black windshield? The bottom-right end may have been the front hood, with a black windshield around (302, 224). In obs_000251, I interpret the top-left end as the rear, with a black rear window at (159, 208) and trunk at (116, 149). The bottom-right end appears to be the front, with a black windshield at (266, 299) and hood at (319, 385). The corresponding head-camera rear and front points appear near (313, 240) and (338, 257). I’ll use rear-trunk pixel (125, 151) in the wrist view paired with head pixel (314, 242), and front-hood pixel (330, 388) paired with head pixel (338, 257). I’ll triangulate these points individually with the two calibrated cameras to estimate their world positions. The correspondences are approximate, so I’ll inspect the triangulation errors to assess their consistency.

The triangulated rear point at approximately z = 1.0 m and y = −0.24 m is implausible for the car, so the pixel correspondence is wrong. Does the supposed rear-trunk point at wrist pixel (125, 151) correspond to a world point near the end-effector height? Perhaps the rear trunk is occluded in the head view, and head pixel (314, 242) belongs to a different object or the gripper. I should use forward projection to predict where the selected head-camera points should appear in the current wrist view and then check the matches. Assuming the object is on the table at z = 0.78 m, would head pixel (314, 242) correspond to approximately world x = −0.013 m and y = −0.116 m? I’ll compute the world point and project it into the wrist image to see its expected location.

The head-camera point (314, 242), which I previously labeled as the rear, projects to approximately (375, 398) in the left-wrist image. That is at the bottom-right hood region rather than the rear region I had matched. I am still unsure whether the point with the smaller head-image x coordinate is the car’s front or rear, but it maps to the bottom-right hood region. The head-camera point (338, 257) projects to approximately (206, 106), at the top left of the wrist image. I reversed the feature correspondences. I should approximately pair head-camera pixel (314, 242) with wrist pixel (330, 388), and head-camera pixel (338, 257) with wrist pixel (125, 151). I’ll triangulate again using these reversed pairings.

The first triangulated point is approximately [−0.0115, −0.106, 0.778] m, and the second is [0.0363, −0.155, 0.81] m, giving an estimated car center of [0.0124, −0.1305, 0.794] m. Its estimated y coordinate is therefore −0.1305 m rather than −0.116 m, while x remains approximately 0.012 m. My previous grasp target was offset by +0.0145 m in y. Since the narrow-axis closing direction has a world-Y component of 0.766, that offset could cause slipping. I should correct the target to y = −0.13 m. The long-axis vector from the estimated front point [−0.0115, −0.106] m to the rear point [0.0363, −0.155] m is approximately [0.048, −0.049] m, with an angle of −45.6°, close to the original −40° estimate. The planned 50° narrow-axis orientation should still be suitable. I’ll finish the left gripper’s narrow-axis alignment at link6 position [0.012, −0.13, 0.935] m, raising it slightly from z = 0.925 m to 0.935 m and keeping it open before closing in a subsequent action. The right arm will continue lowering the held pepper toward link6 position [0.005, −0.035, 0.94] m with the forward-down placement orientation. From its current position [0.069, −0.049, 1.023] m, I estimate the target distance at 0.124 m and the remaining rotation at 0.23 rad. Six control steps may produce about 0.06 m of right-arm motion. I’ll use six steps for the combined left alignment and right descent.

The yellow car now appears vertical in the left wrist view, which looks suitable for a side pinch. I estimate its image center at (180, 290) pixels and the gripper’s fingertip center at approximately (320, 274) pixels. That would put the car about 140 pixels to the left of the gripper. Could this discrepancy come from the estimated object center or the camera offset and wrist orientation? The left wrist has not quite reached its final quaternion. Its measured link6 coordinates are x = 0.009 m and y = −0.128 m, close to the estimated car coordinates x = 0.012 m and y = −0.13 m, so I would expect the car to align near the fingertips. Yet its visual center seems to be around image x = 180 pixels. Perhaps the fingertip projects at x = 320 pixels while the estimated object center projects nearer x = 200 pixels. I’ll use the current calibration to project the estimated car center [0.012, −0.130, 0.79] m and the fingertip position, then compare them.

The candidate car center from the wrist view projects near pixel (334, 249) in the high-camera image, matching the visible centroid at (333.7, 248.9) in observation 223. This puts the car’s estimated world center at x = 0.029 m and y = −0.131 m, rather than x = 0.012 m. My earlier endpoint triangulation used incorrect correspondences and underestimated x by 0.017 m. That explains the grasp misalignment. I should trust the direct wrist-view back-projection with an assumed center height of z = 0.79 m, giving an approximate object center of [0.028, −0.13, 0.79] m. In observation 201, the center may have been at x = 0.012 m and y = −0.116 m, but the failed grasp pushed the car right and forward to approximately x = 0.028 m and y = −0.131 m. The high-camera center changed from (326, 242) to (334, 249) pixels, shifts of +8 and +7 pixels, supporting that conclusion. I’ll update the grasp target to x = 0.028 m and y = −0.130 m. The current left link6 is at x = 0.009 m and y = −0.128 m, so its x offset from the corrected target is −0.019 m. The planned narrow-axis closing direction is at 50°, with world-XY components approximately [0.643, 0.766]. The x misalignment would make the contacts asymmetric and could explain the missed grasp. I’ll correct the left link6 target to [0.028, −0.130, 0.935] m and finish the narrow-axis orientation. The car looks nearly vertical but slightly diagonal in the current wrist view. The measured quaternion [0.647, 0.253, 0.652, −0.303] may correspond to a world-Z rotation near 40°, perhaps 39°, compared with the 50° target; I estimate roughly 20° remains. With the corrected center and final orientation, the car should be centered between the pads. The right wrist is nearly at its final carry orientation. I’ll continue lowering the held pepper from its current link6 position [0.045, −0.036, 1.006] m toward [0.005, −0.035, 0.94] m, an estimated target distance of 0.078 m. I considered four or six control steps; six should reach that pose. I’ll use six steps, keeping the right gripper closed and the left gripper open while raising the left link6 by 0.01 m toward its corrected alignment target.

The yellow car now appears centered at pixel (305, 320) in the left wrist view, with the fingertip center at (320, 275). This looks suitable for a side grasp. The right arm unexpectedly moved upward rather than downward. Its target height was z = 0.94 m, but the measured height increased from 1.006 m to 1.014 m, a rise of 0.008 m, with x essentially unchanged at 0.046 m. Perhaps contact with the blue basket or green pepper prevented further descent even though the target passed the IK precheck. In the wrist view, the red pepper’s bottom appears to contact the green pepper’s top around image y = 420 pixels. It may be sitting on the green pepper or basket rim, preventing the wrist from lowering farther. With link6 at z = 1.014 m and the forward-down placement orientation, I estimate the red pepper’s center at z ≈ 0.922 m and its bottom at z ≈ 0.88 m. The blue basket rim is estimated at z = 0.84 m, and the green pepper’s top may be at z = 0.86 m. The apparent contact suggests support, so I judge the red pepper to be inside the blue basket, resting atop the green pepper, and ready for release without forcing it lower. I’ll close the left gripper and open the right gripper while holding the pepper’s current wrist position. I considered 3 steps for left closure and 5 for right opening; I’ll use 5 steps for the combined action, allowing the left gripper to close and then hold.

The red pepper is resting on its side inside the blue basket, and the green pepper is also inside. The left gripper’s opening command is 0.317, and the yellow car appears to be between the fingers with contact on its sides. I should test-lift it toward link6 z = 0.97 m, initially considering 3 control steps. Meanwhile, should the right arm retract clear of the blue basket and approach the right wooden toy or the left red pepper? The remaining table objects are the left red pepper at image pixel (279, 263), estimated at world XY coordinates (−0.08, −0.164) m; the left wooden toy at pixel (227, 287), estimated at (−0.176, −0.214) m; the right wooden toy at pixel (354, 275), estimated at (0.066, −0.189) m; and the right bus at pixel (389, 239), estimated at (0.14, −0.11) m. I briefly count six remaining objects, but one car and two peppers have been sorted, leaving five: two cars, including the yellow car currently pinched by the left gripper, one pepper, and two wooden toys. A tentative allocation is for the right arm to handle the nearby right wooden toy and then the farther left wooden toy, both going into the red basket. Once the yellow car is placed in the white basket, the left arm could handle the left red pepper near (−0.08, −0.164) m and put it into blue, then handle the bus. The right arm is near the center after releasing the pepper, so the right toy at (0.066, −0.189) m should be easy to approach. Reaching the left wooden toy with the right arm remains uncertain. Its x coordinate is −0.176 m and its y coordinate is −0.214 m; from the right arm’s base at x = 0.3 m, the crossing distance is about 0.476 m. A forward-down pose might work, or a top-down pose could be near a singularity. The left arm seems better suited to the bus at (0.14, −0.11) m. Reaching it from the left base at x = −0.3 m requires about 0.44 m of crossing, and a top-down grasp at y = −0.11 m may be near the reach limit, though a side grasp might work. Transporting it to the white basket is comparable to moving the central car from x = 0.028 m to x = −0.303 m, about 0.33 m, using a forward-down placement pose. The right arm could instead carry the bus to white with a forward pose and about 0.3 m of crossing, but its earlier transport of the green pepper from x = 0.397 m to blue at x = 0 m would need roughly another 0.3 m to reach white at x = −0.303 m. That may be difficult. I therefore favor the left arm for the bus and tentatively expect the right arm can handle both wooden toys. After the yellow car is transported, the next pair could be the right wooden toy and left red pepper, perhaps concurrently once the car is placed. For now, I’ll approach the right wooden toy. I initially consider a pregrasp link6 position of (0.066, −0.194, 1.0) m with a top-down orientation. The right wrist is currently in the 45° forward-down pose, so it needs to rotate toward the original top-down quaternion. The wooden toys have irregular shapes resembling crosses or figurines, so I should choose the grasp from their geometry. The right toy near high-camera pixel (354, 275) may be humanoid: it is beige, with a central knob and protrusions, and has an approximate image bounding box of 28 by 30 pixels. In the current right-wrist view, it may be below the image boundary; I am unsure whether its bottom is visible, and the red basket is what I can clearly identify. In the initial high-camera view, it looked like a small beige figurine with a vertical peg at the top and three prongs at the bottom. I could grasp its central body along world Y or X. The original 90° Y-rotation quaternion, which closes the fingers along world Y, may work. I estimate the body center at (0.066, −0.194, 0.785) m and an eventual grasp link6 height of 0.925 m. An estimated maximum gripper opening of 0.08 m should accommodate the toy’s estimated width of 0.05 m. I’ll inspect it more closely during the approach and aim for contact on the thick central region. The rotation from the right wrist’s 45° forward-down pose to the original top-down pose is about 1.718 rad, so I need the intermediate wxyz quaternion [0.748, −0.149, 0.538, 0.359] before reaching top-down. During the left car’s test lift, the right arm can move to (0.066, −0.194, 1.02) m while rotating to that midpoint. From its current position (0.046, −0.03, 1.014) m, I estimate the translation at 0.165 m, mostly along Y, and the midpoint rotation at 0.859 rad. These are within the 0.25 m position limit and the orientation limit, and I expect the precheck is likely to pass. I’ll use 5 control steps, keeping the left gripper closed for the test lift to z = 0.97 m and the right gripper open for the toy approach.

The left retraction target failed the precheck, so I should try a smaller motion straight upward while keeping x and y unchanged. I’m considering [0.035, −0.158, 0.99] m with either the current quaternion or the narrow-axis grasp quaternion. The measured orientation is slightly tilted; I estimate the difference to the narrow-axis quaternion at about 0.18 rad and the position change to this candidate at 0.048 m. I expect it to pass the precheck. I want to move away from the wooden toy at x = 0.066 m, y = −0.194 m, and lifting upward looks safe. I’ll choose the left target [0.035, −0.158, 1.0] m with the narrow-axis quaternion and the gripper open, using 6 control steps. I’ll keep the right arm’s previous approach target unchanged.

My first impression is that the left arm moved down and forward again rather than upward. Its measured link6 position is [0.051, −0.179, 0.977] m, compared with the target [0.035, −0.158, 1.0] m; its height is 0.023 m below the target. The wooden toy looks very large at the top of the wrist view, which initially makes me suspect contact. In the high-camera view, the right wooden toy seems to have shifted and rotated substantially from its original upright appearance. It now resembles a flat beige bear near pixel (350, 275), with an arm extending toward the car near (331, 248). Perhaps the collision pushed the toy into the car, or the left gripper is still pushing it. The toy appears above the car in the wrist image, but I am unsure how that image relationship maps to world directions. The left fingertip seems near the toy’s stem. With link6 at [0.051, −0.179, 0.977] m and the open fingers in the top-down side-grasp orientation at 50° yaw, I estimate the tips at z = 0.819 m and the toy’s height at perhaps 0.81 m. Could the toy be resting on the gripper and preventing it from lifting, or even moving with it? In the high-camera view, the toy remains near (350, 280) and the car near (330, 250). The toy’s position at the top of the wrist image may simply mean it is on the table rather than held. I should retract away from the possible contact, though I am initially unsure which horizontal direction is best. The toy’s original world XY position was approximately (0.066, −0.194) m; after the collision, it may be around (0.06, −0.21) m. The left link6 at (0.051, −0.179) m is just behind it on the positive-Y side. Moving toward +Y, toward the baskets, or toward −X, to the left, could provide clearance. The car at approximately (0.028, −0.13) m is also behind the wrist along +Y. The preceding target at y = −0.158 m requested a +0.021 m change from the current y coordinate, away from the toy, yet the measured wrist moved toward more negative Y. Could contact be pulling it that way? I could change to the initial horizontal quaternion and lift, but I would need to avoid sweeping through the toy. The gripper might have snagged the toy when it closed earlier and then opened underneath it. Its opening command is now 1, so I expect it should be free. On reconsideration, the missed target does not necessarily prove a collision. From obs_000273, the left quaternion was [0.648, 0.233, 0.671, −0.276], and the narrow-axis target quaternion was approximately [0.664, 0.242, 0.664, −0.242], with an estimated orientation difference of 0.14 rad. The position target was [0.035, −0.158, 1.0] m, at an estimated distance of 0.067 m. After six steps, the actual position changed by [+0.016, −0.021, +0.035] m. It did rise, although its horizontal motion differed from the intended direction. That might reflect a coordinated IK path near a singular configuration rather than contact. Is there still clearance? The toy’s large appearance could simply result from being close to the wrist camera. I could continue toward a safer pose at [0.0, −0.08, 1.06] m, first using an intermediate target [0.03, −0.15, 1.03] m. That intermediate would request changes of [−0.021, +0.029, +0.053] m, with an estimated distance of 0.064 m, while retaining the narrow-axis quaternion for six steps. The right arm should not continue approaching the toy until the left wrist is clear. I considered moving it to an observing pose at [0.15, −0.15, 1.06] m, but holding its current open pose at [0.076, −0.087, 1.056] m seems safer. I’ll instead retract the open left gripper upward and backward to [0.02, −0.14, 1.04] m with the narrow-axis quaternion, hold the right arm in place, and use six control steps before inspecting the next observation.

The left arm still has not moved toward its target x and y coordinates; it rose only 0.011 m. The right arm also drifted upward by 0.011 m despite being commanded to hold its measured pose. Could the arms be colliding with each other? In the high-camera view, the wrists appear very close together, possibly interlocked, with the black grippers adjacent near the center. This could explain the constrained motion and the right arm’s drift under physics. At obs_000279, the right link6 position was [0.076, −0.087, 1.056] m and the left was [0.051, −0.179, 0.977] m. I estimate their separation at 0.124 m. With grippers approximately 0.158 m long, their geometry could intersect depending on orientation. Arm or gripper interference therefore seems possible. I’ll separate the arms horizontally. I first considered moving the right arm to [0.25, −0.15, 1.1] m and the left to [−0.15, −0.1, 1.06] m. For those proposed targets, I estimated the right position change as [0.168, −0.065, 0.033] m, with a distance of 0.183 m, and the left change as [−0.201, 0.077, 0.072] m, with a distance of 0.227 m. Both estimates are below the 0.25 m target limit, although I am unsure whether the precheck will pass if there is interference. I’ll retain the right wrist’s current wxyz quaternion [0.727, −0.134, 0.398, 0.543] and use the left wrist’s narrow-axis grasp quaternion to avoid adding another orientation change. Moving both arms apart simultaneously should help free any collision. My selected targets are [−0.12, −0.12, 1.06] m for the left arm, with an estimated distance of 0.184 m, and [0.25, −0.15, 1.08] m for the right, with an estimated distance of 0.201 m. The paths lead away from each other, and neither gripper should be holding an object. I’ll command both grippers open and use 10 control steps.

The arms are now separated, and the overhead view of the table is clear. The first car is inside the white basket, and the green and red peppers are inside the blue basket. The left red pepper remains at approximately pixel (279, 263). The sports car now appears near (320, 256), or roughly (320, 257), rather than (330, 245). The right wooden toy appears near (353, 276), close to its original position at (354, 275). It may not have moved significantly during the collision; the grippers and perspective may have confused my earlier interpretation. The car has moved left and down in the image from its original center at (326, 242). Using an assumed height of z = 0.79 m, head-camera pixel (320, 257) gives approximately x = 0 m and y = −0.151 m. The earlier wrist estimate was x = 0.028 m and y = −0.13 m, but the car seems to have moved again during contact and retraction. With neither gripper obscuring the car or wooden toy, I can update the positions from the overhead view. I estimate image centers of (320, 256) for the car, (354, 276) for the right wooden toy, (389, 239) for the bus, (279, 263) for the remaining pepper, and (227, 287) for the left wooden toy. I am using z = 0.79 m for the object centers, with an estimated table height of 0.77 m, although the wooden toy’s top may be at 0.80 m. Inverting the head-camera projection at z = 0.79 m gives approximate world XY positions of (0, −0.152) m for the car, (0.064, −0.194) m for the right wooden toy, (0.141, −0.109) m for the bus, (−0.081, −0.164) m for the pepper, and (−0.176, −0.214) m for the left wooden toy. The car’s updated center differs from the earlier estimate by approximately [−0.028, −0.022] m after the last collision. I should use its current center at (0, −0.152) m for the next grasp. The left link6 is currently at [−0.088, −0.131, 1.046] m with the narrow-axis grasp orientation. I’ll approach above the car at [0, −0.152, 1.0] m. Its current long axis appears to run from image pixel (313, 246) to (327, 268), a pixel vector of [+14, +22]. I estimate the corresponding world-XY vector as [+0.03, −0.04] m and its angle as −53°. The car appears nearly vertical in the image, at about 58°. The existing narrow-axis angle of +50° is still close, but the perpendicular direction should be −53° + 90° = +37°. I’ll therefore use Rz(37°) multiplied by the end-to-end top-down quaternion, rather than the current Rz(50°) orientation. That changes the wrist by 13°, approximately 0.227 rad, which should be straightforward. I’ll try a higher roof pinch at link6 z = 0.95 m. With the roof around z = 0.80 m, I estimate the fingertips at z = 0.792 m, which looks suitable. The stages will be an approach at z = 1.0 m, descent to 0.95 m, closure, and a test lift. The corrected center and restored arm clearance may make this work. If it fails again, I could try an end-to-end grasp at z = 0.95 m using the corrected center. The right link6 is currently at [0.203, −0.131, 1.08] m with wxyz quaternion [0.727, −0.134, 0.398, 0.543]. The right wooden toy is near world XY position (0.064, −0.194) m. I need to choose its grasp orientation from its shape. In the overhead view, it resembles a beige animal or figurine, perhaps a bear or a small pawn-like wooden toy, with a round body near pixel (354, 275), a head near (356, 265), and possible legs near (350, 286). The left toy looked similar near (227, 287). Its image long axis appears vertical, which I interpret as world Y. A side pinch around the main round body, closing along world X across its narrow dimension, might be stable. The top-down wxyz quaternion [0.5, 0.5, 0.5, −0.5] puts local Y along world X, so the fingers would approach the two X sides of the body. The car at (0, −0.152) m is approximately 0.078 m away, the remaining pepper at (−0.08, −0.164) m is about 0.15 m away, and the bus at (0.14, −0.11) m is about 0.12 m away. An open gripper width of approximately 0.09 m centered at toy x = 0.064 m would put the fingers at x = 0.019 m and x = 0.109 m, both at y = −0.194 m. The car is only 0.042 m away in Y. Assuming its width is 0.05 m and its back edge is at y = −0.177 m, I estimate a 0.017 m gap from a fingertip at [0.019, −0.194, 0.79] m. That looks clear, though the objects are close. However, rotating the right wrist to that world-X closing orientation would require several stages. The quaternion dot product is approximately 0.727 × 0.5 − 0.134 × 0.5 + 0.398 × 0.5 − 0.543 × 0.5 = 0.3635 − 0.067 + 0.199 − 0.2715 = 0.224. I estimate the orientation distance at 2.694 rad, above the 1 rad command limit, so it would require three intermediate rotations. The original top-down quaternion [0.707, 0, 0.707, 0] is a simpler alternative. Its dot product with the current right quaternion is approximately 0.727 × 0.707 + 0.398 × 0.707 = 0.796, giving an estimated rotation of 1.298 rad. That still exceeds 1 rad but needs only two stages. It closes along world Y, potentially grasping the toy end-to-end around its head and body, similar to the successful bus grasp. The body may be about 0.07 m long, which should fit. I could use this orientation for a grasp at link6 z = 0.935 m, lower because the toy is solid. I have an earlier intermediate wxyz quaternion [0.748, −0.149, 0.538, 0.359], but it may not be the appropriate midpoint from the current orientation. The current-to-top-down rotation is about 1.3 rad. Averaging the current and target quaternions gives approximately [1.434, −0.134, 1.105, 0.543]; using an estimated norm of 1.887 gives [0.760, −0.071, 0.586, 0.288]. I should compute the exact midpoint. One possible approach would put the right wrist at [0.064, −0.194, 1.02] m with that midpoint, then finish the top-down rotation and descend. I should not descend both arms near the adjacent car and toy simultaneously. The proposed left position at (0, −0.152) m and right position at (0.064, −0.194) m are only about 0.076 m apart. With open grippers approximately 0.08 m wide, that risks another interference. I considered having the right arm handle a different object while the left grasps the car. The bus at (0.14, −0.11) m is about 0.148 m from the car, which seems safer even with each gripper open to approximately 0.1 m, but carrying it to the white basket would require a difficult crossing. A forward-down or leftward-tilted carry might allow right link6 around x = −0.20 m and y = −0.03 m while the object reaches x = −0.29 m. The right arm already carried the green pepper from x = 0.4 m to the blue basket at x = 0 m; reaching the white basket at x = −0.3 m is farther, although leftward finger extension might help. I do not favor a handoff to the left arm. The remaining red pepper at (−0.08, −0.164) m is only about 0.08 m from the car, so that also leaves the arms close together. The left wooden toy at (−0.176, −0.214) m is farther from the left wrist’s car approach, but the right arm’s cross-table pickup and subsequent transport to the red basket may be difficult. Another possibility is to have the left arm grasp the remaining pepper while the right handles the nearer wooden toy, but the yellow car still needs attention from the left arm. I’ll approach both the car and nearer toy, but grasp only one at a time while the other arm stays high. There are 805 control steps remaining, so efficiency is less important than avoiding another collision. I’ll focus on lifting the car first; then the right arm can descend to the toy. I initially considered keeping the right wrist above the toy at z = 1.08 m. My selected targets are [0, −0.152, 1.0] m for the left wrist with the 37° narrow-axis orientation, and [0.066, −0.194, 1.10] m for the open right wrist with its intermediate quaternion. At right link6 z = 1.1 m, I estimate the fingers at z = 0.94 m, above the car, with the wrists separated vertically by 0.1 m. The right arm can stay there while the left completes its grasp. I am considering 10 control steps for the approach, though both arms may only move partway. First, I’ll compute the left quaternion from Rz(37°) times the end-to-end quaternion and the right midpoint from its current orientation to the original top-down pose.

I’ll use 10 control steps to move the left link6 to [0, −0.152, 1.0] m with the computed left quaternion [0.6328141558, 0.3155094994, 0.6328141558, −0.3155094994] in wxyz order. I’ll move the right link6 to [0.066, −0.194, 1.10] m with the computed intermediate quaternion [0.7568165424, −0.0707199557, 0.5831832185, 0.2865741487] in wxyz order.

The yellow car appears centered near pixel (300, 180) in the left wrist view while the left link6 is at z = 1.0 m. The open fingers are well apart at the bottom corners, so the alignment looks good. I’ll lower the left link6 to z = 0.95 m without changing its orientation; 5 control steps may complete the 0.05 m descent. The right link6 is still at x = 0.156 m rather than above the wooden toy, but it is high at z = 1.084 m. I could continue toward [0.066, −0.194, 1.1] m with the intermediate quaternion, or make a smaller move to [0.12, −0.17, 1.1] m to advance its alignment while staying above and away from the left gripper. However, its current position looks safe, and holding it there will avoid interference during the left descent. I’ll use 5 control steps to lower the open left gripper to z = 0.95 m while holding the right arm at its current pose. Then I’ll inspect the car’s alignment before closing the left gripper.

The yellow car’s center appears to be near pixel (295, 240) in the left wrist view, while the fingertip center may be near (320, 275). I judge the alignment to be within about 0.01 m. The open fingers span approximately x = 0–130 and x = 500–640 pixels; the car is about 160 pixels wide, compared with a gap of about 370 pixels. Five control steps of closure may reduce the left gripper’s opening command from 1 to about 0.3. I’ll close the left gripper for 5 steps while holding the right arm stationary.

The left gripper’s opening command of 0.045 means the fingers are nearly fully closed without contacting the car at the higher grasp height. I conclude that link6 z = 0.951 m is too high and the pads are above the roof. I could lower to z = 0.935 m at the corrected center; the earlier side grasp at that height resisted closure at an opening command of 0.317, but slipped because the center was off. The current center looks accurate: the car projects near image x = 290 pixels versus the fingertip center at x = 320 pixels. There may still be a small y offset, but the alignment looks close, and the arms are no longer interfering. I considered lowering with the gripper closed, but I should reopen first. I’ll combine reopening with a descent to link6 z = 0.932 m, a downward change of 0.019 m, over 3 control steps while holding the right arm stationary. Then I can close again and check for contact. With the corrected center, I expect the opening command during contact might be around 0.5 rather than the earlier 0.317.

The left gripper descended only 0.005 m, possibly because it is still interpolating the opening command or because of a collision. Its opening command is 0.489 after 3 control steps, so it needs to open farther and continue descending. I considered 2 more steps for the descent, but I’ll use 3 steps with the target link6 height still at z = 0.932 m.

The left gripper is now fully open, with an opening command of 1. I’ll keep it open and lower its link6 height to z = 0.91 m over 5 control steps. The planned descent is 0.05 m, and I expect those steps to produce about 0.05 m of downward motion. I’ll hold the right arm at its current pose.

The left gripper descended 0.034 m but has not reached the target link6 height of z = 0.91 m. The car appears larger in the wrist view, and the open fingers remain far apart on either side, with one spanning approximately x = 0–130 pixels and the other near x = 515 pixels. I’ll continue lowering toward z = 0.91 m for 2 control steps.

The left link6 height is stuck at z = 0.926 m with the gripper fully open. Table contact likely prevents further descent: I estimate the table height at 0.77 m and the fingertip height at 0.768 m, effectively at the table. I therefore consider 0.926 m the lowest possible link6 height here. At this height, the pads extend upward from the fingertips at z = 0.768 m. Could the car body be at z = 0.75 m? If the table is at 0.77 m, the car’s bottom would be at 0.77 m and its roof at 0.81 m, while the finger sides span approximately z = 0.768–0.83 m. That should allow a grasp. With the gripper fully open and centered, I’ll close it for 5 control steps.

The left fingers are now against the car’s sides near its mirrors, and the opening command of 0.335 indicates contact. This looks promising. I’ll make a vertical test lift toward a link6 height of z = 0.96 m over 3 control steps while holding the right arm stationary.

The car’s apparent size in the left wrist view is nearly unchanged: in obs_000348, its bounding box was approximately x = 215–424 and y = 115–435 pixels; in obs_000351, it is approximately x = 220–420 and y = 116–455 pixels. Perhaps it is held now. The opening command is steady at 0.332, which is promising. In the overhead view, the car may be lifted beneath the gripper rather than resting on the table. I am unsure whether it is still visible at its original pixel position (320, 257); a small yellow region appears near (327, 260) beneath the gripper and could be the held car. Its stable appearance relative to the wrist camera indicates that it is held. I should lift farther to link6 z = 1.03 m and check for slipping. The right arm could approach the wooden toy once the car is lifted, but first I need more clearance on the left. The right link6 is currently at [0.156, −0.155, 1.084] m, with its rotation toward the intermediate orientation still incomplete. The toy is near world XY position [0.066, −0.194] m. I considered a right-arm target of [0.066, −0.194, 1.02] m with the intermediate quaternion. I estimate the remaining rotation at about 0.3 rad and the target distance within 0.139 m. This would lower the open fingertips to approximately z = 0.86 m, about 0.05 m above the toy’s estimated height of 0.81 m, which looks safe on its own. I initially considered six steps to lift the left wrist to z = 1.03 m while approaching the toy with the right arm over the same six steps. However, with the left arm near XY position [0, −0.152] m and the right approaching [0.066, −0.194] m, the car and toy would be only about 0.078 m apart horizontally. After the lift, I estimate the held car at z = 0.90 m and the right fingers at z = 0.86 m. With each gripper about 0.08 m wide, they could collide again. The left arm should move toward the white basket as it rises. One alternative was to move the left link6 to [−0.10, −0.12, 1.04] m while the right approached the toy. From approximately [0, −0.152, 0.958] m, I estimate that target distance at 0.13 m. It leads away from the toy, but would the car’s bottom be at z = 0.80 m after the lift? Its current center may be around z = 0.82 m, with link6 at z = 0.958 m and its bottom near z = 0.79 m. Moving horizontally before gaining enough height could hit the nearby toy or pepper. I considered lifting vertically to z = 1.02 m first, then moving sideways. Another option is a left target of [−0.04, −0.152, 1.03] m, combining a slight leftward move with a 0.072 m rise. I estimate that the car’s bottom would rise about 0.07 m to z = 0.86 m, providing clearance. The right could approach the toy at [0.066, −0.194, 1.02] m, with its tip near z = 0.862 m, but the arms would still be close despite the estimated car height of 0.9 m versus the right finger height of 0.86 m. It is better to hold the right arm until the left has moved away. I’ll use six control steps to move the left link6 to [−0.06, −0.14, 1.03] m while keeping the car grasped and holding the right arm at its current open pose. Then I can transport the car toward the white basket while the right arm grasps the toy.

The car is held clear of the table, and the left gripper appears to be over the boundary between the white and blue baskets. I should carry it toward the white basket and release it there. The measured left link6 position is [−0.059, −0.141, 1.028] m, with the narrow-axis grasp orientation formed using a 37° world-Z rotation. The car appears vertical in the wrist view. If its body center is approximately 0.13 m along local X from link6, its current center height is about 1.028 − 0.13 = 0.898 m. I estimate the white basket center at [−0.303, 0.06, 0.79] m. For placement, I could tilt the fingers forward and downward while preserving the side pinch, allowing the object to reach into the basket without moving link6 directly over its center. In the current left orientation, local X points along world −Z and local Y, the closing axis, is approximately [cos 37°, sin 37°, 0] = [0.799, 0.602, 0]. Would a 45° rotation about local Y give a suitable forward-down direction? I initially wondered whether that would rotate the car around its long axis, but local Y is the closing axis across its width. Rotating around it keeps the closing direction fixed while tilting the car’s long axis, which is acceptable for this container placement. Using R_current × Ry(45°), local X becomes cos 45° times the current local X minus sin 45° times the current local Z. The current local Z is Rz(37°) × [0, −1, 0] = [sin 37°, −cos 37°, 0] = [0.602, −0.799, 0]. The resulting finger direction is approximately [−0.426, 0.565, −0.707]: leftward, forward, and downward, which points toward the white basket. An assumed 0.13 m object-center offset along that direction gives [−0.055, 0.073, −0.092] m. For a desired car center at [−0.303, 0.06, 0.84] m, the corresponding link6 target would be [−0.248, −0.013, 0.932] m. I estimate its distance from the current left pose at 0.253 m, slightly beyond the 0.25 m limit, so it needs an intermediate target despite the 45° rotation being allowed. One option is to tilt 30° and first move to [−0.18, −0.08, 1.03] m, then continue to the final pose. A simpler alternative is to retain the current top-down narrow-axis orientation, move link6 to [−0.25, −0.02, 1.018] m, and release the car over the front of the white basket. A direct top-down approach might encounter the same reach limit as the first car. I estimate the distance from the current XY position [−0.059, −0.141] m to the basket’s XY center [−0.303, 0.06] m at about 0.32 m, so that also requires an intermediate move. I’ll first move the left link6 to [−0.20, −0.06, 1.03] m without changing its orientation, then consider a forward tilt for placement. The right arm can resume approaching the wooden toy now that the left arm is clearing it. Its current wxyz quaternion is approximately [0.751, −0.108, 0.484, 0.437]. For a direct rotation to the original top-down quaternion, I estimate the dot product at 0.531 + 0.342 = 0.873 and the orientation distance at 2acos(0.873) ≈ 1.014 rad, slightly above the 1 rad limit. I’ll therefore use the intermediate wxyz quaternion [0.7568, −0.0707, 0.5832, 0.2866], estimating its difference from the current orientation at 0.46 rad, and finish the top-down rotation afterward. I estimate the distance to the right link6 target [0.066, −0.194, 1.02] m at 0.151 m. I’ll use 10 control steps for both intermediate motions. The left target [−0.20, −0.06, 1.03] m is an estimated 0.164 m away, with no orientation change and the car kept grasped. I estimate the car’s bottom at z = 0.87 m, above the table and the basket rim at z = 0.84 m, so the transport looks clear. Lowering the open right gripper to link6 z = 1.02 m puts its fingertips near z = 0.862 m, above the wooden toy, while the held car moves away to the left.

The held car appears above the white basket’s front-right edge. In the high-camera view, the yellow region is near pixel (219, 204), and the basket interior spans approximately x = 140–235 and y = 150–210 pixels. It initially looks partly inside, so I could move it slightly left and upward in the image before releasing it. However, the measured left link6 position is [−0.199, −0.061, 1.029] m, and I estimate the car center directly below it at [−0.199, −0.061, 0.899] m. The basket center is approximately [−0.303, 0.06] m in XY. Comparing the car’s x = −0.199 m with the basket’s right edge near −0.21 m, and its y = −0.061 m with the front edge near −0.01 m, suggests it is actually outside near the front-right corner. It needs to move about 0.08 m left and 0.06 m forward. I considered a direct top-down target of [−0.28, 0, 1.03] m, estimating the distance at 0.096 m. The precheck might pass: the first bus placement could not move forward from approximately x = −0.272 m and y = −0.028 m with the end-to-end orientation, but this narrow-axis orientation may provide better reach. I’ll try [−0.28, 0.005, 1.02] m while retaining the narrow-axis quaternion and keeping the car grasped. Its estimated center height would be 0.89 m, still above the rim. I can lower it afterward if needed before releasing it. The right wrist is almost above the wooden toy, with measured x = 0.114 m versus the target x = 0.066 m, and its quaternion is close to the intermediate orientation. I initially wondered whether the remaining rotation to the original top-down pose was about 0.514 rad. The estimated quaternion dot product is 0.536 + 0.399 = 0.935, giving about 0.72 rad, which is acceptable. I considered the right target [0.066, −0.194, 0.95] m with the top-down quaternion, estimating a positional move of 0.056 m and a descent of 0.101 m. The combined motion may pass the precheck, but I should descend in stages with the opening command maintained at 1. At link6 z = 0.95 m, the vertical fingertips would be near z = 0.792 m, while the toy’s top may be at z = 0.81 m. They could touch the toy, though the open fingers should surround its body if centered. An eventual grasp height might be link6 z = 0.925 m. First, I’ll target [0.066, −0.194, 0.98] m with the top-down quaternion and inspect the alignment. I estimate the change at about 0.07 m with 0.72 rad of rotation. I’ll use six control steps for both the left car transport and the open right-gripper approach.

The left gripper’s opening command dropped from 0.327 to 0.209 during transport. The car may have been squeezed, but it remains held. In the high-camera view, it now appears above the white basket interior at approximately pixel (193, 185). I can release it from an estimated height of 0.89 m, allowing a drop of about 0.07 m into the basket. Is the first bus resting on the left side of the basket bottom? The car may land on that bus, which should be acceptable. I’ll open the left gripper while holding its current pose and continue the right arm’s alignment over the wooden toy. The right link6 target is [0.066, −0.194, 0.98] m with the top-down quaternion. Its current wxyz quaternion is [0.754, −0.057, 0.614, 0.227]. I estimate the dot product with the target quaternion as 0.533 + 0.434 = 0.967, giving an orientation difference of about 0.514 rad. I estimate the positional move at 0.032 m. Six control steps may reach the right target while allowing the left gripper to open, so I’ll use six steps for both arms.

The sports car is resting stably on its side at the back of the white basket, with the bus at the bottom. The right wooden toy is now clearly visible. It may be a dog: I initially see a round head near wrist pixel (350, 210), a lower body with legs, and possibly a tail. I should grasp its central body, roughly at wrist pixel (379, 310). The measured right link6 position is approximately [0.07, −0.192, 0.985] m, and its quaternion is nearly top-down, with an estimated tilt of 0.24. The toy’s high-camera center at (354, 275) corresponds to approximately world XY [0.066, −0.194] m. The main body might instead be centered around [0.066, −0.21] m. In the wrist view, I estimate the head at (370, 230), the body at (380, 320), and lower legs at (340, 400). The body is about 110 pixels wide. With the final top-down quaternion, closure along world Y appears horizontal in the wrist image, so this could pinch across the body. My initial body-center estimate is [0.066, −0.20, 0.79] m. I should finish the top-down alignment and descend with the gripper fully open to link6 z = 0.93 m. I estimate the remaining orientation residual at 0.35 rad. A target of [0.066, −0.20, 0.93] m might produce about 0.05 m of descent over five control steps. I favor body y = −0.20 m over head y = −0.17 m. The high-camera centroid at (354, 275), evaluated at z = 0.79 m, gives y = −0.194 m, but it includes both head and body. A possible body center at high-camera pixel (353, 279) gives y ≈ −0.203 m. I’ll use [0.066, −0.202, 0.93] m to grasp the body behind the head. I am uncertain about the toy’s three-dimensional orientation. With the original top-down pose, camera-down corresponds approximately to world −X, so the toy’s vertical appearance in the wrist view would suggest a long axis along world X rather than world Y. Yet the high-camera head at (354, 267) and body at (354, 282) appear vertically aligned, suggesting world Y. The current right orientation is not final, so its camera direction differs, but I am unsure whether finishing the rotation would explain this discrepancy. Using another estimate, the high-camera head at (356, 265) and body at (351, 283) give a pixel vector [−5, +18], which I interpret as a world-XY vector of approximately [−0.011, −0.034] m, mostly along −Y. The earlier camera-down row at the original top-down pose was [−0.869, −0.031, 0.494], so world Y should project horizontally rather than vertically. The current quaternion [0.739, −0.031, 0.661, 0.123] has local Y approximately [−0.03, 0.976, −0.21], still mostly along world Y. If camera-right is negative local Y, world Y should remain largely horizontal in this view. Could the residual tilt include enough yaw to make the toy diagonal? That remains uncertain. The apparent vertical separation might instead come from height. A head higher in world Z than the body could shift upward in the high-camera image without requiring a world-Y displacement. Perhaps the toy stands upright along world Z. It resembles a four-legged horse or dog with a head at the upper left, a horizontal body, and legs below. Its apparent height is about 25 pixels in the high-camera image and 240 pixels in the close wrist view. It could have a body along world X with a head on the left, or it could be a standing humanoid, as the original view at (354, 275) suggested. In the current wrist view, I estimate a spherical head at (373, 239), a central body at (384, 320), and legs at (340, 400) and (415, 360). This could represent an upright world-Z arrangement. The angled wrist camera also projects world Z vertically, since its camera-down row has a Z component of 0.494. Thus the toy’s long axis could be Z, with its head above its body. A horizontal body pinch closing along either world Y or world X might work. I’ll retain the original top-down quaternion and close along world Y across the body. I am considering body z = 0.79 m, with the table at 0.77 m and the toy about 0.07 m tall: head at 0.84 m, body at 0.80 m, and legs at 0.77 m. At link6 z = 0.93 m, the tips would be near z = 0.772 m and the pads would span approximately z = 0.772–0.83 m, suitable for the body. A high-camera body point at (353, 280), evaluated at z = 0.80 m, gives approximately x = 0.065 m and y = −0.201 m, consistent with the selected target. The left arm should leave the white basket and approach either the remaining red pepper or the bus. I considered retracting it to [−0.18, −0.12, 1.04] m while the right arm grasps the toy, but the red pepper near [−0.08, −0.164] m is my next target. The pepper and right toy are approximately 0.146 m apart, which I judge sufficient for separate approaches. The pepper is roughly spherical, so the current left top-down orientation, whose closing axis is at 37°, could work. One option is to retain that quaternion and approach [−0.08, −0.164, 1.0] m before descending. Alternatively, I can rotate the left wrist to the original top-down quaternion, which closes along world Y. Comparing the current quaternion [0.633, 0.316, 0.633, −0.316] with [0.707, 0, 0.707, 0] gives an estimated dot product of 0.448 + 0.447 = 0.895 and an orientation distance of 0.921 rad, below the 1 rad limit. I considered moving directly to [−0.08, −0.164, 1.02] m from [−0.263, −0.014, 1.019] m. I initially estimate that distance at 0.234 m; the changes of +0.183 m in x and −0.150 m in y give approximately 0.237 m, still below 0.25 m. Ten steps might not complete that left approach. I considered eight steps for both arms, expecting perhaps 0.16 m of actual left motion while the right reaches z = 0.93 m and holds open. Five steps would be safer for the right final descent, although eight steps would still cover only a 0.055 m target descent with control increments around 0.01 m. I’ll instead use six steps and a shorter left intermediate target, [−0.12, −0.12, 1.03] m, which I estimate is 0.176 m away. Both wrists will target the original top-down quaternion. The left gripper will remain open as it approaches the pepper, and the right will remain open while descending toward [0.066, −0.202, 0.93] m around the wooden toy’s body. Then I’ll inspect the next observation.

The right link6 is at z = 0.931 m with the gripper fully open. The wooden toy appears large and between the fingers in the wrist view, with its lower body partly cut off by the image boundary. Its head is around image y = 230 pixels and its body around y = 350 pixels. The link6 position at world y = −0.202 m may center the fingers on the body, so I should close around it. I’ll continue moving the open left gripper toward the red pepper through the intermediate link6 target [−0.12, −0.12, 1.03] m with the top-down quaternion. The left arm moved only a little during the previous action, which I attribute to the simultaneous rotation. I considered 6 control steps to advance the left approach while allowing 5 steps for the right closure, but I’ll use 5 steps for both. The right gripper may contact the toy’s body at an opening command of approximately 0.4.

The right gripper’s opening command is 0.307. The wooden toy’s body is between the fingers, though it appears shifted to the left with its head at the top. I’ll test the grasp by lifting the right link6 to z = 0.965 m while continuing the left arm toward the pepper through target position [−0.12, −0.12, 1.03] m with the top-down quaternion. I considered 5 control steps, but 3 should be enough for the right test lift. The left arm is progressing slowly because of its rotation, which is acceptable. I’ll use 3 steps for both arms.

The wooden toy stays the same size and position in the right wrist view during the test lift, so I conclude that it is held. A beige region may still be visible near pixel (350, 280) in the high-camera view, but its fixed appearance relative to the wrist camera confirms the grasp. The right link6 is at [0.066, −0.202, 0.963] m with the original top-down orientation. I estimate the toy’s center height at 0.83 m and its bottom at 0.77 m; it has only just lifted. I should raise link6 to z = 1.06 m, putting the toy’s estimated bottom at 0.87 m, clear of the basket rim, and carry it toward the red basket’s estimated center at x = 0.303 m and y = 0.06 m. Since this basket is on the right arm’s own side, I think the original top-down orientation will likely allow that reach, unlike the earlier cross-table approach. A direct target of [0.30, 0.02, 1.06] m is approximately 0.323 m away, exceeding the 0.25 m limit. I’ll instead use an intermediate target of [0.20, −0.10, 1.06] m, which I estimate is 0.168 m away, followed later by [0.30, 0.04, 1.02] m. For this action, I’ll keep the right gripper closed and top-down while continuing the open left gripper toward [−0.12, −0.12, 1.03] m with the top-down orientation. Could the arms move toward each other? Their target x coordinates are −0.12 m and 0.20 m, a separation of 0.32 m, which I judge safe. I’ll use 8 control steps.

The right link6 reached z = 1.028 m rather than the target of 1.06 m after 8 control steps, because it moved only partway along the planned distance. The wooden toy is still held. In the high-camera view, the bus appears near pixel (380, 239), and the toy’s head may be near (398, 224). The right wrist view shows the bus directly above the toy, which raises a possible collision concern. I tentatively estimate the carried toy’s center at z = 0.898 m and its bottom at z = 0.85 m. With the bus top around z = 0.796 m, I estimate about 0.05 m of clearance and judge the motion safe. I considered continuing the right arm to [0.26, −0.03, 1.06] m, approximately 0.146 m away, before moving to the red basket center. The left wrist has not yet reached the original top-down orientation; its measured wxyz quaternion is [0.702, 0.086, 0.702, −0.088]. Its current link6 position is [−0.161, −0.087, 1.029] m. I could spend another 8 steps continuing toward the intermediate target [−0.12, −0.12, 1.03] m, but I can instead target a pose directly above the pepper at [−0.08, −0.164, 1.0] m. I estimate that translation at 0.114 m, with about 0.24 rad of rotation remaining. For this action, I’ll target the right link6 at [0.28, 0, 1.06] m, an estimated distance of 0.177 m, while retaining its top-down orientation and keeping the toy grasped. The left gripper will remain open as it approaches the pepper and finishes rotating to top-down. I judge both motions safe and will use 8 control steps.

In the high-camera view, the held wooden toy appears near pixel (439, 185), over the red basket’s front-left edge. The basket interior spans approximately x = 390–500 and y = 150–205 pixels, so the toy appears inside those image boundaries. However, the measured right link6 position is [0.231, −0.063, 1.042] m, and I estimate the toy’s center height at 0.91 m, with x = 0.231 m near the left edge and y = −0.063 m near the front edge. Could the toy’s head and body geometry explain why it looks inside from above? With the red basket’s estimated XY center at [0.303, 0.06] m, I still judge the toy to be near its front-left corner. I considered moving the right link6 to [0.303, 0.02, 1.02] m and then releasing the toy. I estimate that target distance at 0.112 m, and I expect the unchanged top-down orientation to pass the precheck on this arm’s own side. But that pose would put the toy’s estimated center at z = 0.89 m and its bottom at z = 0.83 m, slightly below the estimated rim height of 0.84 m. I’ll instead keep link6 at z = 1.06 m during the move toward the interior, then release afterward. The selected right target is [0.303, 0.02, 1.06] m, approximately 0.11 m away, with the gripper kept closed. I initially considered 8 control steps. The left link6 is currently at [−0.124, −0.12, 1.017] m. Its approach target above the pepper is [−0.08, −0.164, 1.0] m, approximately 0.064 m away, and its orientation is almost top-down. Six steps may reach that pose. I’ll use 6 control steps for both arms, keeping the left gripper open while centering the held toy over the red basket.

The right arm’s top-down target toward the basket center at z = 1.06 m failed the local precheck, perhaps because of a joint limit. Could I release the toy at its current position? In the high-camera view, it appears near pixel (439, 185), inside the red basket opening but near the front-left area. The basket seems large enough to contain the toy’s full extent. I estimate the basket bottom at z = 0.79 m and the toy bottom at z = 0.87 m, giving a drop of about 0.08 m. The task only requires containment, so exact centering is unnecessary. I should confirm that the entire toy is over the opening before releasing it. The right wrist view shows the red basket’s left wall and the blue basket below; I am less certain whether the toy is centered in that view. In the high-camera view, its body is near pixel (439, 184), and its full extent appears within the red basket boundaries of x = 390–510 and y = 145–213 pixels. I judge it ready for release. I’ll hold the right wrist at its current pose and open its gripper while the left arm finishes approaching the last pepper. I’ll use 6 control steps for both arms.

The release check shows that the wooden toy landed outside the red basket. In the high-camera view, it is at approximately pixel (440, 233), on the table in front of the basket. The basket’s front wall is around image y = 210 pixels, so the toy at y = 233 is outside. I misjudged observation 409: the held toy was outside at the front-left, but its height made its projection appear over the basket. After release, it fell forward onto the table, perhaps near world x = 0.23 m and y = −0.07 m. I need to recover it and place it truly inside, either using a forward-down placement pose or lowering it into the basket. It is now visible at a position closer to the right arm, which should make regrasping easier. Four objects still need sorting: the remaining bus, the last pepper, and both wooden toys, including the one just dropped. The left basket contains the first bus and the sports car; the blue basket contains the green and red peppers. The left link6 is ready above the last red pepper at [−0.08, −0.164, 1.0] m. The open right gripper is near the dropped toy, whose position I initially estimate at approximately x = 0.24 m and y = −0.07 m. I could regrasp it after lifting the left pepper, with the arms separated by about 0.3 m, but the objects are far enough apart to approach simultaneously. For the toy’s position, using high-camera pixel (440, 233) and an assumed height of z = 0.79 m, I initially estimate x at about 0.248 m. A quick mental projection check gives x = (440 − 320)/288 × z_camera. With z_camera around 0.63 m, this suggests x ≈ 0.262 m. Taking y ≈ −0.06 m gives z_camera = 0.5 × (−0.06) − 0.866 × 0.79 + 1.338 ≈ 0.624 m, and x = 120 × 0.624/288 ≈ 0.260 m. The vertical pixel coordinate v = 233 suggests y may be around −0.068 m. I’ll use an approximate body center of x = 0.26 m and y = −0.07 m. The right link6 is currently at [0.231, −0.063, 1.042] m, nearly directly above that position. The toy appears to have fallen almost straight down, with a small shift due to its shape. I can descend toward link6 z = 0.93 m at the corrected center and grasp its body again without moving far. It may now be lying on its side; the beige dog-like shape appears horizontal in the high-camera view. In the right wrist view, I see the toy near the top center at approximately pixel (420, 120), with the bus below it. The pepper’s estimated height is z = 0.79 m. I’ll keep the left gripper fully open and descend toward link6 z = 0.926 m, which I consider the lowest grasp height, before closing. The pepper and toy are approximately 0.34 m apart, so I judge concurrent approaches suitable. I’ll use 5 control steps to lower the left link6 toward [−0.08, −0.164, 0.926] m and the right link6 toward [0.26, −0.07, 0.93] m, keeping both grippers fully open and retaining their top-down orientations.

The left link6 is at z = 0.942 m above the pepper; I could lower it toward z = 0.93 m over 2 control steps. The right link6 is at z = 0.996 m, still high above the wooden toy, and its measured x = 0.243 m has not reached the target x = 0.26 m. The toy’s body appears partly cut off at the top-right of the wrist view, so I need to refine the grasp center. In the high-camera view, I estimate the dropped toy at pixel (448, 239), a shift of (+8, +6) pixels from observation 415. Could an open right finger have contacted it during descent? The right link6 is at approximately [0.243, −0.063, 0.996] m, and the toy appears to have moved right and down in the image, but contact remains uncertain. In the right-wrist view, the toy appears near pixel (465, 110), partly outside the top-right of the frame. The previous target at x = 0.26 m and y = −0.07 m may no longer align with it. I should update the estimate from the relatively clear high-camera view. Back-projecting pixel (448, 239) at an assumed z = 0.79 m gives approximately x = 0.276 m and y = −0.085 m. A possible right link6 target for the body is therefore x = 0.276 m and y = −0.09 m. Alternatively, I can back-project an estimated body-center pixel of (470, 120) from the current right-wrist view at an assumed z = 0.80 m. I’ll use a script to calculate candidate world positions and their high-camera projections. The left pepper appears to be centered, though that is still tentative.

The wooden toy’s body center may be near world position [0.271, −0.10, 0.80] m, which projects near high-camera pixel (451, 235). That is close to its observed position at approximately (448, 239). I’ll target the right link6 at [0.271, −0.10, 0.94] m. With the top-down orientation, I estimate the fingertips at z = 0.782 m, alongside the body. The current right link6 position is [0.243, −0.063, 0.996] m, and I estimate the target distance at 0.061 m. Its opening command is 1.0. I should center the right gripper before descending. I considered first targeting [0.271, −0.10, 0.96] m, then lowering to z = 0.93 m. I also considered lowering the fully open left gripper to z = 0.93 m over 2 control steps and approaching z = 0.95 m with the right arm over 5 steps. For this action, I’ll use 5 control steps for both arms, targeting left link6 z = 0.926 m and right link6 position [0.271, −0.10, 0.94] m. The right target requests a descent of 0.056 m, but the wrist may only reach about z = 0.95 m during these steps. Both grippers will remain fully open.

The right arm moved only about 0.014 m, possibly because of contact with the red basket. Its target was [0.271, −0.10, 0.94] m, but its measured link6 position is [0.252, −0.078, 0.986] m, with a small orientation tilt. In the right wrist view, the basket wall is on the left, the toy is at the upper right, and a black gripper finger is at the lower right. An open finger may be contacting the basket’s front wall and limiting descent. I should approach the toy from the front, along negative world Y, to avoid that wall. The toy is near y = −0.10 m, and the basket front wall may be around y = −0.02 m, leaving about 0.08 m between them. With an estimated maximum opening gap of 0.09 m along world Y, the rear finger would be near y = −0.055 m and could collide with the wall during descent. Rotating the gripper 90° to close along world X would put the open fingers on the toy’s ±X sides and avoid the wall behind it. What is the toy’s long axis? I initially considered world X, but the toy appears horizontal across the top of the right wrist image. With the current top-down pose, camera-right corresponds to world −Y, so that appearance suggests a long axis along world Y. Closing along Y may therefore grip along its length. Closing along X should instead pinch across the body, which seems more stable and provides better basket clearance. The desired top-down quaternion is [0.5, 0.5, 0.5, −0.5] in wxyz order; it puts local Y, the closing axis, along world X. I initially estimated the rotation from the current top-down 90° Y orientation to this pose as 120°, or 2.094 rad, requiring three intermediate stages. Another option is [0.5, −0.5, 0.5, 0.5], which puts local Y along world −X and closes along the same axis in the opposite direction. Its dot product with the original top-down quaternion is approximately 0.3535 + 0.3535 = 0.707, giving an orientation distance of 1.571 rad. Checking the desired quaternion gives the same dot product and distance. Thus both alternatives are 90° from the original top-down pose, rather than 2.094 rad; the earlier 2.094 rad rotation was from the initial yaw pose to top-down. I’ll use [0.5, 0.5, 0.5, −0.5], as in the successful bus grasp. For an intermediate orientation, I considered a −45° world-Z rotation, though I am unsure about expressing that relative to the desired end pose. Adding the original top-down and desired quaternions gives [1.207, 0.5, 1.207, −0.5]. Using an estimated norm of 1.862 gives approximately [0.6485, 0.2685, 0.6485, −0.2685]. The known −45° intermediate quaternion is [0.653281, 0.270598, 0.653281, −0.270598]. It requires about 0.785 rad from the original top-down pose, followed by another 0.785 rad to the final pose. I’ll raise the open right gripper to z = 1.04 m and move it toward y = −0.15 m, away from the basket, while rotating to that intermediate orientation. Afterward, I can align it over the toy at x = 0.271 m and y = −0.10 m with the final orientation and descend. I considered rotating at the current z = 0.986 m, but lifting provides clearance from the basket and toy. The selected right target is [0.27, −0.15, 1.04] m, with an estimated target distance of 0.096 m. The left pepper is ready for closure, so I’ll hold the left wrist at its grasp pose and close that gripper while keeping the right gripper open. I’ll use 5 control steps for both arms.

The left gripper’s opening command of 0.428 indicates contact with the pepper. The right wrist has rotated only a little. I’ll test-lift the pepper toward a left link6 height of z = 0.96 m, initially considering 3 control steps. Should the right wrist continue to its intermediate orientation or go directly to the final sideways grasp orientation? Comparing its current wxyz quaternion [0.697, 0.099, 0.708, −0.053] with the intermediate quaternion [0.653, 0.271, 0.653, −0.271], I estimate their dot product as 0.455 + 0.027 + 0.462 + 0.014 = 0.958, giving an orientation difference of about 0.58 rad. I’ll target the intermediate orientation now and proceed to the final orientation afterward. The right link6 target is [0.27, −0.15, 1.04] m, compared with its current position [0.26, −0.11, 1.013] m, an estimated distance of 0.05 m. I’ll use 5 control steps for the right motion and the left test lift together. I expect the left wrist to reach z = 0.96 m and then hold for the remaining steps, keeping its gripper closed while the right gripper remains open.

The pepper stays the same size in the left wrist view during the test lift, so I conclude that it is held. I should transport it to the blue basket using a forward-down placement pose. The left arm is on the basket’s left side. Could I use the same 45° forward-down quaternion as the right arm, [0.653, −0.271, 0.271, 0.653] in wxyz order? That pose has local Y along world −X, whereas the left wrist’s current top-down pose has local Y along world Y. Changing to it would rotate the closing axis from Y to −X, adding 90° of yaw and a tilt. The pepper is round, so that rotation should be acceptable. Another possibility is to tilt the fingers rightward, forward, and downward toward the basket center while preserving the closing axis along world Y, perhaps using a 120° Y rotation. The current top-down pose has local X along world −Z and local Y along world Y. Could a rotation about world Y give the desired direction toward +X and +Y? The right arm’s forward-down pose was derived from the initial 90° yaw followed by a 45° local-Y rotation; it points local X forward and down while putting local Y along −X. I can use that same pose for the left pepper, as I did for the green pepper carried from the right. A direct top-down approach might also work. The left arm is at x = −0.08 m and the blue basket center is at x = 0 m, requiring only about 0.08 m rightward and 0.22 m forward. I could lift the pepper to link6 z = 1.04 m, then target [0, 0.04, 1.02] m and release once it is over the interior. The right arm’s direct red-basket target at x = 0.303 m and y = 0.02 m failed, but the left arm’s position near the center might make this easier. The earlier right-arm top-down blue-basket target at x = 0.03 m and y = 0.06 m failed from x ≈ 0.24 m. Here, moving from x = −0.08 m to 0 m is smaller; moving from y = −0.164 m to 0.06 m is 0.224 m, with an estimated total target distance of 0.237 m, within the 0.25 m limit. Still, the precheck might fail for that forward reach at y = 0.06 m and z = 1.02 m. I’ll use the proven forward-down placement pose instead. The full rotation from the left top-down pose is about 1.718 rad, so I need the intermediate quaternion [0.748, −0.149, 0.538, 0.359] before the final pose. I’ll rotate while raising and moving link6 to [−0.08, −0.10, 1.05] m. I estimate the held pepper’s current center height at z = 0.83 m; the 0.09 m lift would bring it to about 0.92 m, providing clearance. The right arm still needs to finish turning sideways before aligning over the recovered toy at x = 0.271 m and y = −0.10 m. Its current position is [0.269, −0.144, 1.036] m, with quaternion [0.686, 0.171, 0.692, −0.144]. The dot product with the final quaternion [0.5, 0.5, 0.5, −0.5] is approximately 0.343 + 0.0855 + 0.346 + 0.072 = 0.8465, giving an orientation distance of 1.118 rad, above the 1 rad limit. I’ll repeat its intermediate quaternion first; I estimate that remaining rotation at about 0.4 rad. I considered moving the right wrist to [0.271, −0.10, 1.0] m, forward toward the toy and down by 0.036 m. Since its final orientation is not yet reached, I’ll keep it back at y = −0.14 m to avoid the basket. The selected right target is [0.271, −0.14, 1.02] m with its intermediate quaternion. I’ll use six control steps for both arms, keeping the left gripper closed around the pepper and the right gripper open.

The right wrist is near its intermediate orientation, and the wooden toy is visible near the left-center of the wrist view. Its estimated world center is still around x = 0.271 m and y = −0.10 m, though I wonder whether it has shifted. Its high-camera position appears unchanged at pixel (445, 240). In the wrist view, I estimate the body center at pixel (259, 221), where I see two circular body regions; I am unsure which part is the head. How will its appearance change as the camera rotates another 45° toward the final sideways grasp orientation? I’ll target the right link6 at [0.271, −0.10, 0.96] m with the final quaternion [0.5, 0.5, 0.5, −0.5], keeping the gripper open. This requests a descent of 0.06 m and an estimated rotation of 0.78 rad. Six control steps might reach the pose. For the left arm, I’ll repeat the carry midpoint target at [−0.08, −0.10, 1.05] m. I estimate the remaining rotation at 0.64 rad and the positional move at 0.04 m. Could I instead rotate directly to the final carry orientation? Comparing the current quaternion [0.742, −0.066, 0.649, 0.157] with the final quaternion [0.653, −0.271, 0.271, 0.653] gives an approximate dot product of 0.485 + 0.018 + 0.176 + 0.103 = 0.782, corresponding to an orientation distance of 1.345 rad. That exceeds the 1 rad limit, so I need the midpoint first. I’ll use six control steps for both arms, keeping the left gripper closed around the pepper and the right gripper open.

The right-arm precheck came close to the final grasp target but still had a rotation residual of about 4.8°. The orientation may be encountering a joint limit. I should try a closer intermediate orientation before attempting the final pose again. The current right quaternion is [0.661, 0.252, 0.662, −0.247] in wxyz order, which I estimate corresponds to about −43° of world-Z rotation. The intermediate target [0.653, 0.271, 0.653, −0.271] corresponds to −45°, and the final end-to-end grasp orientation corresponds to −90°. I’ll try −67.5° between them. My tentative quaternion estimate is [0.577, 0.411, 0.577, −0.411]. Considering the formula Rz(θ) multiplied by the end-to-end quaternion, I associate −45° with [0.653, 0.271, 0.653, −0.271] and −90° with [0.5, 0.5, 0.5, −0.5]. For −67.5°, I estimate [0.577, 0.412, 0.577, −0.412], though its norm might be 1.15. I’ll compute the quaternion precisely with scipy. I’ll leave the left arm’s carry midpoint target unchanged. For the right arm, I’ll use position [0.271, −0.10, 1.0] m rather than lowering to z = 0.96 m, reducing the descent while trying the −67.5° intermediate orientation. I plan to use six control steps, then attempt the final −90° orientation afterward.

The rotation table clarifies the reference orientation: the right wrist’s intermediate quaternion corresponds to a +45° world-Z rotation relative to the end-to-end grasp pose. Its current orientation is near +43°, while the final end-to-end pose is at 0°, leaving about 43° to rotate. I should use a +22.5° intermediate orientation, rather than the previously considered −67.5°. The table also agrees with the car’s earlier +37° narrow-axis grasp quaternion, approximately [0.633, 0.316, 0.633, −0.316] in wxyz order. I’ll use the computed right intermediate quaternion [0.5879378012, 0.3928474792, 0.5879378012, −0.3928474792]. Compared with the current quaternion [0.661, 0.252, 0.662, −0.247], I estimate the dot product as 0.389 + 0.099 + 0.389 + 0.097 = 0.974, giving an orientation distance of about 0.454 rad. I’ll target the right link6 at [0.271, −0.1, 1.0] m with its gripper open. The left arm will retain its previous carry-midpoint target with the pepper held. I’ll use 6 control steps for both arms.

The recovered wooden toy now appears upright in the right wrist view, with its body center around pixel (320, 190), ears at the top, and the head and body below them. The open gripper is oriented sideways, near the 22° intermediate alignment; that camera orientation makes the toy appear vertical. I should finish rotating to the end-to-end grasp quaternion [0.5, 0.5, 0.5, −0.5] and descend to link6 z = 0.94 m. The right link6 is currently at [0.272, −0.103, 1.001] m, and the target is [0.271, −0.1, 0.94] m. I estimate the remaining rotation at 0.39 rad and the position change at 0.061 m. Five control steps might be enough. The left wrist has almost reached its carry midpoint. From its current quaternion [0.751, −0.12, 0.583, 0.286] to the final carry quaternion [0.653, −0.271, 0.271, 0.653], I estimate the dot product as 0.49 + 0.033 + 0.158 + 0.187 = 0.868, giving an orientation distance of 1.035 rad, slightly above the 1.0 rad limit. I could try the final target, but validation would reject it if that estimate is correct. Instead, I’ll repeat the midpoint quaternion [0.748, −0.149, 0.538, 0.359]. I estimate the remaining rotation to that midpoint at 0.27 rad, followed by 0.859 rad to the final carry pose. I considered three more steps to reach the midpoint before proceeding to the final orientation. I’ll keep the pepper grasped and move the left link6 toward the blue basket at [−0.04, −0.07, 1.03] m while targeting the same carry midpoint. Six steps will likely complete that alignment. I’ll use six control steps for both arms, keeping the right gripper open as it finishes its alignment and descends beside the toy.

The direct target for the right wrist’s final end-to-end orientation again failed with a rotation residual of 4.793°, essentially the same as before. Perhaps that orientation is unreachable at this position because of a joint limit, leaving a best residual of about 4.8°. I do not need the exact final orientation: I judge the current sideways orientation, with the closing axis angled about 22°, suitable for grasping the toy’s body while avoiding the basket. The precheck’s position error of 0.95 mm was within tolerance, so preserving the current orientation while targeting link6 position [0.271, −0.1, 0.94] m should eliminate the troublesome rotation request and may let the precheck pass. The measured right quaternion is [0.621, 0.338, 0.622, −0.335] in wxyz order. My rough squared-component sum is 0.3857 + 0.1142 + 0.3869 + 0.1122 = 0.999, which initially looks acceptable. More precisely, the squares are 0.385641, 0.114244, 0.386884, and 0.112225, summing to 0.998994. The difference of 0.001006 is slightly above 0.001, so I’ll normalize it and use [0.621186, 0.338169, 0.622186, −0.335168]. I could instead target the 22.5° intermediate quaternion, approximately [0.5879, 0.3928, 0.5879, −0.3928], with an estimated remaining rotation of 0.26 rad. That might pass, but it could also encounter the same orientation limitation. Preserving the normalized current orientation seems safest. I’ll retain the left arm’s carry-midpoint target while it holds the pepper, and lower the open right gripper around the toy with its current orientation preserved. I’ll use 6 control steps for both arms.

The recovered wooden toy appears large between the open right pads, with its body center near pixel (330, 260). The alignment looks good, so I’ll close the right gripper for 5 control steps. The left wrist has reached its intermediate carry orientation, and the held pepper is near the blue basket’s front-left side, with the green pepper visible. I’ll move the left link6 from its measured position of [−0.041, −0.071, 1.029] m to [−0.005, −0.035, 0.98] m while rotating to the final forward-down placement orientation. I estimate the translation at 0.076 m and the rotation at 0.859 rad, within the 1 rad orientation limit. This resembles the earlier successful right-arm placement path. In that orientation, local X points forward along world +Y and downward. Using an estimated pepper-center offset of +0.092 m in Y and −0.092 m in Z, the target link6 pose would put the pepper center at [−0.005, 0.057, 0.888] m, over the blue basket. After reaching that pose, I can consider lowering link6 to z = 0.94 m before release, although the two peppers already in the basket may provide support at a higher position. For now, I’ll use 5 control steps to move the held pepper into its placement pose while closing the right gripper around the toy.

The right gripper’s opening command is 0.516, and the fingers appear to contact the sides of the wooden toy’s body. This looks promising, so I’ll test the grasp by lifting the right link6 toward z = 0.975 m, initially considering 3 control steps. The left arm should continue toward its final forward-down placement pose at [−0.005, −0.035, 0.98] m. I estimate about 0.56 rad of rotation and 0.04 m of translation remain, which may take 3–5 control steps. I considered 4 steps for the left motion and 3 for the right test lift; I’ll use 4 steps for both arms.

The right wrist’s intermediate tilt quaternion is approximately [0.462, 0.462, 0.691, −0.309], and its final tilt quaternion is approximately [0.318, 0.513, 0.768, −0.213], both in wxyz order. The measured right orientation is about 0.43 rad from the intermediate quaternion, so that rotation is suitable for the next action. I’ll target the right link6 at [0.30, −0.07, 1.06] m with the intermediate tilt quaternion. For the left arm, I’ll finish the pepper’s forward-down placement orientation at link6 height z = 0.96 m. I’ll keep both grippers closed and use 6 control steps.

The wooden toy now appears clearly over the red basket interior in the wrist view, with its body near pixel (320, 260) and the basket below and to the left. In the high-camera view, the toy is near pixel (465, 175), inside the red basket’s projected opening, whose center is approximately (450, 177). Should I release it after finishing the tilt and lowering it? The right link6 is currently at [0.299, −0.072, 1.056] m with the intermediate tilt quaternion. My initial tentative estimate of its local-X direction is [−0.138, 0.327, −0.924]. Starting with local X pointing along world −Z, the 22.5° local-Y rotation combines −0.924 along world Z with −0.383 times the base local-Z direction [0.383, −0.924, 0], giving approximately [−0.147, +0.354, −0.924]. Assuming the toy center is 0.13 m along local X gives an offset of [−0.019, +0.046, −0.120] m and an estimated toy center of [0.28, −0.026, 0.936] m. The red basket’s estimated XY center is [0.303, 0.06] m. Although the wrist view shows the interior beneath the body, the toy’s estimated y = −0.026 m is slightly outside or near the front edge, perhaps at y = −0.02 m, so the body may straddle it. At the final 45° tilt, I estimate the toy-center offset as [−0.035, +0.085, −0.092] m. A right link6 target of [0.338, −0.025, 0.95] m would therefore put the toy center at [0.303, 0.06, 0.858] m, which looks suitable. I’ll move to that position and the final 45° tilt quaternion. I estimate the target distance from the current pose at 0.133 m and the rotation at 0.393 rad. Will the precheck pass? This target may be closer to the base, so I think it probably will. I’ll keep the toy grasped and use 6 control steps. The left wrist is almost at its final placement orientation, with link6 at z = 0.96 m and quaternion [0.67, −0.26, 0.303, 0.626] in wxyz order. Can I release the last pepper now? Its estimated offset is approximately +0.07 m in y and −0.10 m in z, putting its center at [−0.005, 0.036, 0.86] m, inside the blue basket and supported by the existing peppers. I’ll release it while the right arm completes the toy’s tilt and descent, using the same 6 control steps for both arms.

The high-camera view appears to show the released red pepper standing in the blue basket near pixel (355, 157). The left wrist view shows another red pepper near the center and the green pepper below; the third pepper may be offscreen to the right. Native success is still false because other objects remain to be sorted. The right gripper still holds the wooden toy, which appears near pixel (458, 171) over the red basket. The measured right link6 position is [0.309, −0.058, 1.033] m, and its orientation is between the intermediate and final tilt poses. Approximating the current orientation as a 34° Y rotation gives a local-X direction of [−0.211, 0.502, −0.819]. Assuming the toy center lies 0.13 m along local X gives an offset of [−0.027, +0.065, −0.106] m and an estimated center of [0.282, 0.007, 0.927] m. Its estimated y coordinate of 0.007 m places it over the front part of the red interior. I could release it now and expect it to fall inside, but I would prefer to finish tilting and lowering it to link6 target [0.338, −0.025, 0.95] m with the final 45° tilt quaternion. I estimate about 0.089 m of translation and 0.3 rad of rotation remain. Six control steps may be enough. The left arm can leave the blue basket and prepare for either the remaining bus at world XY position [0.14, −0.11] m or the left wooden toy at [−0.176, −0.214] m. After placing the recovered toy, the right arm can attempt the farther left wooden toy, so I’ll assign the bus to the left arm. The bus is currently near high-camera pixel (389, 239). From the left link6 position [−0.005, −0.034, 0.96] m to the proposed bus approach pose [0.14, −0.11, 1.02] m, I initially estimate a distance of 0.169 m. The left wrist currently has the 45° forward-down placement orientation. I need a top-down orientation that closes along the bus’s long axis. The end-to-end quaternion [0.5, 0.5, 0.5, −0.5] in wxyz order worked for the first bus, but its dot product with the current placement quaternion is approximately 0.326 − 0.135 + 0.135 − 0.326 = 0, giving an orientation distance of π rad. That would require multiple rotation stages. I could instead use the original top-down quaternion for a narrow-axis grasp. Its dot product with the placement quaternion is approximately 0.462 + 0.192 = 0.654, giving a rotation of 1.718 rad, which would need two stages. The first bus’s narrow-axis grasp failed, perhaps because of its height or an inaccurate center; I have since learned to reopen fully before descending to the lower grasp height. A better option is the opposite end-to-end quaternion, [0.5, −0.5, 0.5, 0.5]. Its dot product with the current placement quaternion is approximately 0.326 + 0.135 + 0.135 + 0.326 = 0.922, giving an orientation distance of about 0.788 rad. In this pose, local X points along world −Z and local Y points along world −X, so the fingers still close along the bus’s world-X long axis. It is equivalent to using the other end-to-end pose with the gripper flipped 180° about the vertical axis. The pads are symmetric, so I judge this suitable. The camera view will rotate, but I can continue localizing the object in world coordinates. I’ll use [0.5, −0.5, 0.5, 0.5] for the left bus approach. I considered an approach at [0.14, −0.11, 1.0] m, but will use [0.14, −0.11, 1.02] m, estimating the target distance at 0.174 m and the rotation at 0.788 rad. The right wrist is currently near the red basket at XY position [0.309, −0.058] m, about 0.18 m from the bus. A gap of roughly 0.17 m during the approach may be sufficient, and the selected left and right targets, at XY positions [0.14, −0.11] m and [0.338, −0.025] m, have an estimated separation of 0.216 m, which I judge safe. I considered ten steps for the left approach and six for the right placement motion. I’ll use eight control steps for both, keeping the left gripper open and the right gripper closed around the toy, then inspect the next observation.

The direct left-arm approach to the bus failed the precheck with a position error of about 76 mm. Perhaps the arm cannot reach x = 0.14 m from the left side with the opposite end-to-end orientation near the basket. I should try an intermediate pose or a different orientation. I could also assign the left wooden toy to the left arm and the bus to the right arm, but although the right arm could pick up the bus more easily, placing it in the white basket might be harder. Likewise, carrying the left wooden toy to the red basket with the left arm could be difficult. I need to consider reachability when allocating those objects. The left arm might reach the bus using the 37° side-grasp orientation that worked for the sports car, then lower around it. The bus is at approximately x = 0.14 m, y = −0.11 m, and the left arm’s base is at x = −0.3 m, giving a crossing reach of about 0.44 m. The left wrist is currently near the blue basket at x = −0.005 m, y = −0.034 m. The failed target used a top-down orientation with local Y along world −X; a wrist joint limit may explain the failure. The 37° orientation might be reachable, though it would close diagonally across the bus. Since the bus’s long axis is world X and its narrow axis is world Y, the original top-down orientation, with local Y along world Y, would be preferable for a side pinch. The first bus was successfully grasped end-to-end, but a narrow-axis grasp may work with the fingers fully open and the height correctly chosen. I could rotate from the current forward-down pose through the carry midpoint to the original top-down orientation, then test the bus approach after placing the toy. For now, I’ll hold the empty left arm at its current pose with its gripper open and use 6 control steps to continue the right arm toward the toy’s final placement pose. Afterward, I can reconsider the left approach, perhaps using an intermediate position of [0.06, −0.12, 1.04] m with either the opposite end-to-end orientation or the original top-down orientation.

The right wrist is near its final orientation, with link6 at [0.319, −0.046, 1.009] m. Approximating the tilt as a 40° Y rotation, I estimate the toy-center offset as [−0.03, 0.076, −0.10] m, placing its center at [0.289, 0.03, 0.909] m, inside the red basket. Its bottom may be at z = 0.86 m, compared with the basket bottom at z = 0.79 m, allowing a drop of about 0.07 m. The toy also appears inside the opening near high-camera pixel (449, 171). I’ll release it now rather than continue the slow descent, then verify containment after withdrawing. The left arm could begin an intermediate approach toward the remaining bus using either the opposite end-to-end orientation or the original top-down orientation. I considered holding it until the right release to avoid unintended contact. Instead, I’ll move the empty, open left gripper to [0.06, −0.10, 1.02] m with the opposite end-to-end quaternion [0.5, −0.5, 0.5, 0.5] in wxyz order. I estimate the target distance at 0.095 m and the orientation change at 0.788 rad. This shorter target may pass the precheck where the direct target at x = 0.14 m failed, while advancing the approach and rotation together. I’ll keep the right wrist at its current position, command its gripper open, and use 6 control steps for both arms.

The left arm’s combined translation and rotation to the opposite end-to-end grasp orientation still fails the local precheck. I could rotate separately at the current pose or retract from the blue basket first. The left end effector is currently inside the blue basket with its fingers open in the forward-down placement orientation. Rotating there might hit the basket; the precheck checks only kinematics, and the arm may be near a joint limit. I’ll first move the open left gripper upward and backward to [−0.05, −0.10, 1.05] m while retaining its current placement orientation, with no intended rotation. The planned position change is [−0.045, −0.066, +0.09] m, with an estimated distance of 0.119 m, so I expect this target will likely pass. Once it is in open space, I can rotate it separately. At the same time, I’ll release the wooden toy from the right gripper into the red basket. I’ll use 6 control steps.

The recovered wooden toy is now lying stably on its side at the front-left of the red basket. Only the bus and the left wooden toy remain. I could have the right arm pick the nearby bus and the left arm pick the nearby wooden toy, but both would then need difficult cross-table placements: the bus into white and the toy into red. Keeping the current allocation—left arm for the bus and right arm for the left wooden toy—makes the pickups harder but keeps each placement on the arm’s own side. The right arm would need about 0.48 m of reach from its base at x = 0.3 m to the toy at x = −0.176 m, y = −0.214 m. A forward-oriented gripper might make that possible. The left arm needs about 0.44 m of reach to the bus at x = 0.14 m, y = −0.11 m, which may also be possible with a suitable wrist orientation. I favor this allocation and will approach carefully. For the right pickup, the displacement from the base to the toy is approximately −0.476 m in X and perhaps 0.14 m in Y. That may fit within an arm length of 0.55 m, possibly with a top-down wrist at z = 0.96 m. The right arm previously reached x = 0.005 m, y = −0.035 m using a forward-down pose. The left toy is farther left but nearer the front at y = −0.214 m, so tilting the fingers leftward may help. I can use a 120° Y rotation, with wxyz quaternion [0.5, 0, 0.866, 0]. This points local X along world [−0.5, 0, −0.866] while keeping local Y, the closing axis, along world Y. The fingertips extend about 0.079 m leftward, allowing link6 to stay at object x + 0.079 m = −0.097 m rather than reaching directly over x = −0.176 m. One candidate has y = −0.214 m and z equal to the object height plus 0.136 m, approximately 0.93 m. The left wooden toy appears to be an upright rabbit or bunny near image pixel (227, 287), with an estimated body center at world x = −0.176 m, y = −0.22 m. Closing along Y may provide side contact on its body, though I may need to adjust after inspecting the approach. The right wrist is currently at [0.319, −0.046, 1.009] m with a more complex placement orientation, so I should first retract it into open space and reorient it. For the left bus pickup, tilting the fingers rightward and downward could similarly reduce the required crossing reach. A 60° Y rotation, with quaternion [0.866, 0, 0.5, 0], points local X along world [0.5, 0, −0.866] and keeps the closing axis along world Y. The fingertips extend about 0.079 m rightward, so link6 could be at x = 0.14 − 0.079 = 0.061 m, y = −0.11 m, z = 0.93 m. This would pinch across the bus’s narrow sides with the fingers angled in from the left. I estimate its length along world X at 0.08 m and its width along Y at 0.05 m. The angled contact might be stable, though I wonder whether a finger could end up under the roof. Another option is to construct an orientation with local Y along world −X and the fingers pointing rightward and downward, giving an end-to-end grasp; its reach would still need checking. The left wrist’s current placement quaternion is [0.653, −0.271, 0.271, 0.653]. Its dot product with the proposed 60° Y-rotation quaternion is approximately 0.565 + 0.135 = 0.700, giving an orientation change of about 1.591 rad. That requires two stages, but it is manageable. The bus center is estimated at world XY [0.14, −0.11] m, with its roof at z = 0.796 m. If I choose a contact location at local x = 0.13 m with the fingers tilted rightward and downward, the corresponding offset is approximately [0.065, 0, −0.113] m. This puts link6 above and left of the bus center at x = 0.075 m, with z = 0.909 m for the body center. To put the pads at z = 0.78 m, link6 would be at z = 0.893 m, leaving the tip at 0.78 m above the estimated table height of 0.77 m. A candidate grasp target is therefore [0.075, −0.11, 0.91] m with the 60° Y-rotation quaternion. This reduces the left arm’s required x coordinate from 0.14 m to 0.075 m and lowers link6 to z = 0.91 m. It could work, but I need a precheck and visual alignment. Alternatively, the 90° Y top-down pose required link6 at x = 0.14 m and failed the reach attempt from beside blue; it might still work after a closer intermediate approach. The rightward tilt seems promising. For the right toy pickup, using the 120° Y rotation and a body-center height of z = 0.80 m gives a link6 height of approximately 0.913 m when the contact location is at local x = 0.13 m, with a vertical offset of −0.113 m. The horizontal offset would be −0.065 m, so link6 could be at x = −0.176 + 0.065 = −0.111 m and y = −0.22 m. Closing along Y should fit an estimated body width of about 0.05 m. I think x = −0.111 m may be within the right arm’s reach. I could reorient through the original top-down pose before moving to the 120° Y rotation. There are 614 control steps remaining, and I estimate that these two objects and the reset may take fewer than 200. First, I’ll prepare both open grippers in intermediate poses and use spherical interpolation toward the inward-tilted orientations. The left wrist is currently at [−0.036, −0.079, 1.022] m, and the right is at [0.319, −0.046, 1.009] m; both objects have been released. I initially considered moving the left wrist to [0.05, −0.15, 1.06] m while turning toward the 60° Y rotation, and retracting the right wrist to [0.20, −0.15, 1.08] m while turning toward the 120° Y rotation. I’ll calculate halfway quaternions so each rotation stays below the 1 rad command limit. The left arm’s total change is approximately 1.59 rad, making its halfway rotation about 0.795 rad. For the right arm, the dot product between its current quaternion [0.318, 0.513, 0.768, −0.213] and [0.5, 0, 0.866, 0] is approximately 0.159 + 0.665 = 0.824. I estimate the total rotation at about 1.2 rad and the halfway rotation at 0.6 rad, so one intermediate stage followed by the final orientation should suffice. My selected intermediate positions are [0.03, −0.14, 1.07] m for the left wrist and [0.20, −0.15, 1.08] m for the right. I estimate their target distances at 0.089 m and 0.172 m respectively, both within the 0.25 m limit. I’ll use Python to normalize the measured starting quaternions and calculate the exact spherical-interpolation midpoints at t = 0.5.

I’ll use 8 control steps to move the left link6 to [0.03, −0.14, 1.07] m and the right link6 to [0.20, −0.15, 1.08] m, using the computed halfway quaternions for both wrists. Both planned motions lead away from the baskets into clear space.

The right arm moved only −0.037 m along X and is still far from its target x coordinate of 0.08 m, perhaps because of joint and rotation scaling. The wooden toy is visible near pixel (490, 320) at the bottom right of the right wrist view, providing useful stereo cues. The bus is also near the bottom right of the left wrist view. In the overhead view, one gripper appears above the bus and the other behind it, so there may be a collision risk. My planned left link6 target at XY [0.075, −0.11] m and right intermediate target at [0.08, −0.18] m converge to nearly the same point, with only about 0.07 m of separation. I should reroute the right arm across the front of the table, near y = −0.30 m, while the left arm continues aligning with the bus. The left wooden toy is estimated at XY [−0.176, −0.214] m, with an eventual right link6 approach near [−0.111, −0.22] m. From the right arm’s current XY position [0.212, −0.128] m, I could first move toward x = 0.05 m and y = −0.30 m, then continue leftward. One candidate target is [0.05, −0.30, 1.04] m, which I estimate is 0.233 m away, within the 0.25 m limit. The bus is near XY [0.14, −0.11] m, so moving toward y = −0.30 m should lead away from it and provide clearance. The right wrist’s current wxyz quaternion is [0.508, 0.104, 0.851, −0.082]. Its dot product with the final 120° Y-rotation quaternion [0.5, 0, 0.866, 0] is approximately 0.254 + 0.736 = 0.990, giving an estimated orientation change of 0.28 rad. The cross-table target might still fail the local precheck, so I’ll choose a smaller X move to [0.10, −0.29, 1.05] m, which I estimate is 0.204 m away. A subsequent intermediate target could be [−0.08, −0.25, 0.98] m. For the left arm, I’ll target link6 position [0.075, −0.11, 0.98] m and the final 60° Y-rotation quaternion [0.8660254038, 0, 0.5, 0]. This requests a descent of 0.062 m and an estimated rotation of 0.73 rad from its current intermediate orientation, within the target limits. The right gripper may be partly obscuring the bus in the left wrist view; routing it forward should improve visibility. I considered 8 control steps for the left arm and 10 for the right, and will use 10 steps for the combined action with both grippers open.

The right arm’s front route is working: the wooden toy now appears centered near pixel (320, 340) in its wrist view, and the bus appears near the center-right of the left wrist view at (400, 300). The left wrist has not reached its final orientation, but the bus looks centered for the approach. I should finish the rotation and descend to grasp height with the fingers fully open. At the final 60° Y rotation, the left gripper’s local X direction is [0.5, 0, −0.866] in world coordinates. I estimate the bus body center at [0.14, −0.11, 0.78] m. Choosing contact at local x = 0.13 m gives a link6 position of [0.14 − 0.065, −0.11, 0.78 + 0.113] = [0.075, −0.11, 0.893] m. That height is much lower than the previous top-down height of 0.932 m because the tilted fingers provide horizontal reach and a vertical contact offset of 0.113 m. However, the farthest fingertip at local x = 0.1576 m has a vertical offset of −0.1365 m, putting it at z = 0.7565 m, below the estimated table height of 0.77 m. I therefore expect the table to limit link6 to about z = 0.9065 m, where the tip would be at 0.77 m. At link6 z = 0.91 m, the contact midpoint at local x = 0.13 m would be at z = 0.797 m, near the roof, and the tips would be at z = 0.773 m, near the table. I’ll target z = 0.91 m, although the descent may stop around 0.92 m. The bus is about 0.03 m tall, so side contact with the tilted fingers seems possible. With link6 x = 0.075 m, the tip would reach x = 0.154 m, about 0.014 m beyond the bus center at x = 0.14 m, while the contact midpoint would align at x = 0.14 m. I’ll keep y = −0.11 m. The left wrist’s current wxyz quaternion is [0.883, −0.032, 0.445, 0.145], and the final target is approximately [0.866, 0, 0.5, 0]. I estimate their dot product as 0.765 + 0.222 = 0.987, giving a small orientation change of about 0.322 rad. Moving link6 from [0.051, −0.104, 1.017] m to [0.075, −0.11, 0.91] m is about 0.11 m. Its opening command is 1, and I’ll maintain the open command during descent. I initially considered 8 control steps for the left arm. For the right arm, I considered an intermediate target of [−0.06, −0.27, 1.0] m from its current position [0.181, −0.216, 1.008] m, retaining the final inward-tilted orientation. I estimate that distance at 0.247 m, just below the 0.25 m command limit; the calculation using the main horizontal changes is sqrt(0.241² + 0.054²) ≈ 0.247 m. This would move leftward across the front of the table, safely away from the bus, before approaching the wooden toy at XY [−0.176, −0.214] m with an eventual link6 target of [−0.111, −0.22, 0.93] m. The cross-table reach might still fail the precheck, so I’ll choose the nearer intermediate target [−0.04, −0.28, 1.02] m, about 0.231 m away. The right wrist is almost at its final orientation. Ten control steps might move it about 0.15 m, after which I may need to continue the approach. I’ll use 10 steps for both arms, with both grippers open.

The measured left link6 position is [0.031, −0.09, 0.972] m, still short of the target [0.075, −0.11, 0.91] m. The right arm is moving leftward slowly. The bus appears near pixel (365, 170) in the left wrist view, but the fingertips are not yet around it. Could the left target with a 60° Y rotation be unreachable? The previous action passed the precheck and produced motion, although the left arm moved −0.02 m in X rather than the requested +0.024 m. That may reflect the IK path or joint constraints. It may simply need more steps, since its orientation is nearly at the target. The right arm may also eventually reach its cross-table target. The left wrist is now approximately at the 60° Y rotation, with local X pointing along world [0.5, 0, −0.866]. At link6 x = 0.031 m and z = 0.972 m, I estimate the fingertip center at x = 0.096 m and z = 0.839 m, about 0.043 m above the bus roof at z = 0.796 m. At the target link6 position, x = 0.075 m and z = 0.91 m, I estimate the fingertip at x = 0.154 m and z = 0.773 m. The bus center at x = 0.14 m should align with the contact midpoint. I initially considered another 6 steps toward the same left target. I’ll also retain the right target [−0.04, −0.28, 1.02] m and its final inward-tilted orientation. Its measured position is [0.114, −0.242, 0.958] m; I estimate the remaining distance at 0.159 m and considered 10 more steps. I judge both paths safe, though the grippers appear close in the high-camera view, near image x = 370 and 390 pixels. Could they collide? The left gripper is above the bus, while the empty right gripper is toward the front and moving leftward along the front route. The left wrist view shows the bus and its own fingers without the other arm visible, which supports continuing. I considered 8 steps for the left arm and 10 for the right; I’ll use 10 steps for both, keeping both grippers open.

The left opening command is 0.809 despite the request to keep it open, suggesting contact with the bus or table. The right arm is at x = 0.11 m and moved only 0.004 m leftward; its height decreased by 0.032 m instead of rising toward the target z = 1.02 m. These observations suggest joint constraints or collisions. The wooden toy appears at the bottom of the right wrist view, but are the fingertips around it? With the right link6 at [0.11, −0.239, 0.926] m and the intended 120° Y rotation, I estimate the fingertip at x = 0.11 − 0.079 = 0.031 m, y = −0.239 m, and z = 0.789 m. The toy is at approximately [−0.176, −0.214] m in world XY, still about 0.21 m farther left. The right arm may be limited by its local reach or interference with the left arm. In the high-camera view, the right arm crosses the center and the left arm is over the bus; they appear adjacent and may be touching. Their lack of progress along X suggests another arm collision. I could separate the arms and change the strategy for these remaining cross-table reaches. The skill explicitly permits moving a container nearby when it is too far away for stable placement. I could move the white basket toward the bus and right arm, and the red basket toward the left wooden toy and left arm, allowing pickups on each arm’s own side. Would the baskets need to return afterward? The instruction may identify them by their original left, middle, and right positions, but moving them could change that relationship. Moving the white basket to the right side might violate the intended final location, so I would prefer not to move baskets unless necessary. I could move each basket temporarily, place its object, and return it to its original position. That adds manipulation and risk, and I am unsure whether native evaluation requires the basket positions or only object containment. It may be unnecessary if the left arm can grasp the bus now and the right arm can reach the wooden toy after reconfiguration. Another option is to let the left arm pick up the left wooden toy and the right arm pick up the bus, then use a central handoff location so the other arm can perform each placement. That is complex but possible. Alternatively, those same-side pickups could be combined with temporarily moving the destination baskets closer and returning them afterward. With 566 control steps remaining, would there be enough budget for those basket moves? I would also need to choose a basket grasp: perhaps both arms for the large white basket, or one arm gripping its rim and dragging it. Either approach adds risk. The immediate issue may simply be arm interference. Separating vertically could allow progress, and the right arm’s cross-table target at x = −0.04 m with the 120° Y rotation might become reachable after the left arm lifts the bus. The bus appears close to a grasp already. The left opening command of 0.809 suggests contact, and the wrist view shows the fingers beside the bus: the right black finger touches the turquoise front, while the left black finger is near the left edge. Is the body center between the pads? The bus appears large, with the right finger near pixel (470, 280) at its front-right corner and the left finger near (200, 270) at its rear-left. The intended 60° Y rotation closes the fingers along world Y, which looks suitable. I’ll focus on the left grasp while holding the right arm at its current position rather than continuing its crossing motion. I’ll close the left gripper for 5 control steps at the current link6 height of z = 0.942 m with the 60° Y-rotation target. Then I’ll test-lift the bus. If it is held, I can transport it leftward into the white basket and clear the right arm’s path to the wooden toy.

The left opening command is 0, and the fingers have met without securing the bus. My first impression is that they met at the front bumper at the bottom of the image, so I considered repositioning slightly backward and leftward to center the grasp. The measured left link6 position is [0.027, −0.081, 0.944] m, and I estimate the bus center at world XY [0.14, −0.11] m. With the fingers pointing along world [0.5, 0, −0.866], a contact point at local x = 0.13 m would be at world x = 0.092 m and z = 0.831 m, above the bus. I had targeted link6 position [0.075, −0.11, 0.91] m, but it stopped at [0.027, −0.081, 0.944] m, possibly because of contact with the bus and interference from the right arm. I need to lower the contact point and perhaps adjust both x and y. At local x = 0.157 m, I estimate the current fingertip center at [0.106, −0.081, 0.807] m. The bus’s front bumper may be near world XY [0.14, −0.14] m. The wrist’s y = −0.081 m is 0.029 m behind the estimated bus center, toward positive Y. I estimate that the body spans y = −0.14 to −0.08 m, with the front edge at −0.14 m and the rear edge at −0.08 m. This suggests the fingertips are actually at the rear bumper rather than the body center. Could the fingers be inside that region, explaining the opening command of 0? The intended y = −0.11 m would center them, but contact near the rear of the bus may have prevented that motion. I’ll reopen and lift first, then shift the grasp forward by about −0.03 m in y and rightward by about +0.04 m in x before lowering again. The right arm may be blocking this approach, so I’ll retract it to the right side first. Once the bus is grasped and the left arm moves away, the right arm should have space to approach the wooden toy. For this action, I’ll move the open left gripper to link6 position [0.05, −0.10, 1.02] m with its 60° Y-rotation orientation. Its current opening command is 0, and the target raises link6 by 0.076 m to z = 1.02 m. I’ll retract the open right gripper to [0.25, −0.25, 1.06] m while retaining its 120° Y-rotation orientation. I estimate the right target distance at 0.198 m and judge the rightward motion safe. I’ll use 10 control steps to reopen and lift the left gripper while separating the arms, then approach the corrected bus grasp with the right arm held clear.

The left link6 is now at [0.049, −0.101, 1.02] m with the gripper fully open, and the bus appears centered near pixel (318, 223) in the left wrist view. The right arm has retracted to [0.187, −0.249, 0.997] m; it is still near the front of the table but is clear of the left approach. Where does the left fingertip center project? With the 60° Y-rotation orientation, I estimate it may be near pixel (320, 275). The bus center at (318, 223) is above that point in the image, so I need to lower the gripper to bring the body between the pads. I’ll target the left link6 at [0.075, −0.11, 0.91] m with the gripper open, using 8 control steps. I could continue retracting the right arm toward [0.25, −0.25, 1.06] m for more clearance, but its current pose looks safe. I’ll hold it there during the left descent.

The left link6 is at [0.073, −0.105, 0.933] m with the gripper fully open. The bus appears large and centered near pixel (300, 320), between the pads, so the alignment looks good. The right arm is clear. The left x coordinate has reached 0.073 m, and y = −0.105 m is close to the target, but z remains at 0.933 m rather than 0.91 m after 8 control steps. Perhaps it can descend farther, although contact may be limiting it. At the pad contact location of local x = 0.13 m, I estimate the current height as z = 0.933 − 0.113 = 0.820 m, above the bus roof at z = 0.796 m. The fingertips are at approximately z = 0.796 m, so only the tips reach the roof. Lowering about 0.02 m to link6 z = 0.913 m would bring the pad midpoint to roughly z = 0.80 m. I’ll continue the descent for 2 control steps with the left gripper fully open and hold the right arm at its current pose.

The left link6 is now at z = 0.912 m, with the fingers around the bus body. The body appears shifted left in the wrist image, with its center near x = 260 pixels, while the fingertip center is near pixel (320, 275). Could this image-horizontal offset indicate a contact offset along the gripper’s local Y axis? The end effector’s world y coordinate is −0.109 m, close to the estimated bus center at y = −0.11 m. With the 60° Y-rotation orientation, does camera-right correspond to world −Y? I think it may, so the centers should align. My visual estimate of the bus center is around x = 270 pixels, and its shape and perspective may explain the apparent offset. I judge the alignment acceptable and will close the left gripper for 5 control steps while holding the right arm stationary.

The bus now appears centered with the fingers against its sides, and the left gripper’s opening command is 0.314. I’ll test the grasp with 4 control steps. I initially considered lifting link6 to z = 0.95 m, a rise of 0.038 m, and perhaps shifting left to x = 0.04 m while keeping y = −0.11 m to clear the right arm. I’ll instead target the left link6 at [0.05, −0.11, 0.96] m, requesting a change of −0.025 m in x and +0.048 m in z, while keeping the gripper closed and holding the right arm at its current pose. If the bus moves with the gripper, I can transport it to the white basket and let the right arm continue its cross-table approach to the wooden toy.

The bus’s appearance in the wrist view changed substantially during the lift, from its yellow roof to its turquoise front. Is it still centered and fixed between the pads? It may have rotated within the grasp because of torque, perhaps around local Y, but the turquoise part is visible at the gripper in the high-camera view and appears off the table. The opening command remains steady at 0.312. I judge the bus to be held securely, now with its front facing the camera. The container placement has no orientation requirement. I should carry it to the white basket. The measured left link6 position is [0.05, −0.11, 0.959] m, with a 60° Y rotation that points the fingers rightward and downward. Assuming the bus center lies 0.13 m along local X, I estimate its world position at [0.115, −0.11, 0.846] m. It appears lifted near high-camera pixel (380, 240). The white basket center is estimated at [−0.303, 0.06, 0.79] m, requiring approximately 0.418 m of leftward motion and 0.17 m forward. With this orientation, the bus offset from link6 is approximately +0.065 m in X and −0.113 m in Z. To place its center at [−0.303, 0.06, 0.85] m, link6 would need to reach [−0.368, 0.06, 0.963] m. That is far left, but I think it is reachable from the left base at x = −0.3 m. The estimated target distance is 0.451 m, so intermediate moves are necessary. I could rotate to a top-down or forward-down orientation to give the object a leftward or forward offset and reduce link6 travel. The current grasp closes along world Y across the bus’s narrow sides, and I could rotate about world Y while preserving that closing axis. For placement into white, a leftward, forward, and downward finger direction would be preferable to the current rightward tilt. However, the previously used forward-down placement quaternion closes along world −X, so it would change the closing axis. Another option is to retain the 60° Y rotation, carry the bus above the rim at about z = 0.90 m with link6 at z = 1.02 m, and then move link6 toward x = −0.25 m, y = 0 m. This resembles the earlier successful car transport. I’ll retain the current orientation and use the left intermediate target [−0.16, −0.08, 1.04] m. I estimate its distance at 0.233 m, within the 0.25 m limit. At link6 z = 1.04 m, I estimate the bus center at z = 0.927 m and its bottom at z = 0.88 m, above the rim. As the left arm moves leftward and upward, the right arm can resume its front-route approach to the last wooden toy. I’ll retain its 120° Y rotation and target [−0.04, −0.28, 1.02] m from its measured position [0.187, −0.249, 0.997] m, estimating the distance at 0.227 m. The left bus is currently near x = 0.05 m, y = −0.11 m, while the right arm moves leftward along the front. I estimate a vertical separation of 0.14 m and think the grippers may avoid collision. The right crossing previously stalled near the left arm; with the left moving away, I expect it to progress. I’ll use 10 control steps for both arms, keeping the left gripper closed and the right open.

The right arm is progressing leftward, with link6 at x = 0.063 m and y = −0.267 m. The wooden toy appears near pixel (240, 270) in its wrist view. The bus moved with the left arm and appears near high-camera pixel (298, 210), close to the white basket’s front-right area, so I judge it still held. I could continue the left arm toward link6 target [−0.28, 0.005, 1.02] m while retaining its 60° Y-rotation orientation. From the current pose [−0.103, −0.089, 1.016] m, I estimate that move at 0.198 m, within the 0.25 m limit, and expect it to be reachable. With the estimated bus offset of +0.065 m in X and −0.113 m in Z, that target would put the bus center at [−0.215, 0.005, 0.907] m, over the white basket’s right portion. The basket center is estimated at x = −0.303 m; I could release there if the bus is inside the opening. A better placement target might be [−0.36, 0.02, 0.98] m, giving an estimated bus center of [−0.295, 0.02, 0.867] m. Although x = −0.36 m is left of the base, I expect the left arm can reach it. However, I estimate the move from the current pose at 0.281 m, exceeding the 0.25 m limit. I’ll first use the intermediate target [−0.28, −0.02, 1.04] m, then consider a final target of [−0.36, 0.02, 0.96] m. With the current 60° Y-rotation orientation, I expect reaching x = −0.28 m near the left base to be straightforward. For the right arm, I’ll continue toward the wooden toy with link6 target [−0.111, −0.22, 0.94] m and the 120° Y-rotation orientation. From its current pose [0.063, −0.267, 1.01] m, I estimate that move at 0.189 m, within the 0.25 m limit. The toy appears near high-camera pixel (227, 288), with an estimated world XY position of [−0.176, −0.214] m; it may have remained unchanged after the earlier contacts. At the right wrist’s 120° Y rotation, local X points along world [−0.5, 0, −0.866]. With link6 at [−0.111, −0.22, 0.94] m and contact at local x = 0.13 m, I estimate the pad midpoint at [−0.176, −0.22, 0.827] m. That is too high for the toy’s upper body, estimated at z = 0.81 m. Lowering link6 to z = 0.91 m would put the pad midpoint at z = 0.797 m and the tip at z = 0.773 m, which looks suitable. The eventual grasp target is therefore [−0.111, −0.22, 0.91] m, the same link6 height used for the bus. I estimate that move from the current right pose at 0.199 m. Its opening command is 1, and moving down and left may bring it close to the toy. For now, I’ll use [−0.111, −0.22, 0.94] m as the right pregrasp target, then lower afterward. Keeping the pad midpoint at z = 0.827 m above the body should avoid descending too early. I’ll use 10 control steps for both arms, keeping the left gripper closed around the bus and the right gripper open.

The right link6 has reached x = −0.051 m rather than the target x = −0.111 m, but the wooden toy appears centered near wrist-image pixel (260, 240), with the fully open fingers on either side. The alignment looks good. In the high-camera view, the bus appears near the white basket’s right edge and may be partly over the interior. However, the measured left link6 position is [−0.249, −0.037, 1.032] m. Using the estimated bus offset of +0.065 m in X and −0.113 m in Z gives a bus center of [−0.184, −0.037, 0.919] m. That is still to the right of the basket’s estimated right edge at x = −0.21 m, so it is not fully over the interior. I’ll move the left link6 farther left to [−0.34, 0, 1.0] m, retaining its 60° Y-rotation orientation and keeping the bus grasped. The estimated bus center would then be [−0.275, 0, 0.887] m, inside the opening. I estimate the target distance at 0.098 m and expect it to pass the precheck. For the right arm, I’ll continue from [−0.051, −0.238, 0.962] m toward [−0.111, −0.22, 0.91] m, keeping the gripper open with its opening command at 1. I estimate that target distance at 0.084 m. Six control steps may reach it, so I’ll use six steps for both arms.

The bus is above the white basket interior and ready to release. The last wooden toy appears large in the right wrist view, with its body center near pixel (315, 310) and the pads on either side, ready for closure. I’ll open the left gripper for 6 control steps and close the right gripper, for which I considered 5 steps. I’ll use 6 steps for the combined action.

The bus has landed on its side atop the other cars in the white basket, and all the cars are contained. The right gripper’s opening command is 0.481, indicating contact with the last wooden toy, but I still need to check its stability with a test lift before transporting it to the red basket. I’ll use 4 control steps to lift the right link6 to [−0.107, −0.222, 0.95] m while keeping the gripper closed. Meanwhile, I’ll retract the empty left arm away from the basket with its gripper open and its 60° Y-rotation orientation unchanged, preparing clearance for the later reset. I initially considered a left target of [−0.30, −0.15, 1.08] m, but I’ll use the smaller move to [−0.32, −0.10, 1.06] m, which appears safe. After this action, I’ll check whether the wooden toy remains stable in the right gripper.

The wooden toy stays the same size and position in the right wrist view during the test lift, so I conclude that it is held. I need to transport it to the red basket, whose center I estimate at x = 0.303 m and y = 0.06 m. The right link6 is currently at [−0.107, −0.222, 0.95] m with a 120° Y rotation, tilting the fingers leftward and downward. Assuming the toy center lies 0.13 m along local X, I estimate its position at [−0.172, −0.222, 0.837] m. For a desired toy center of [0.303, 0.06, 0.85] m, the estimated offset [−0.065, 0, −0.113] m gives a link6 placement target of [0.368, 0.06, 0.963] m. I judge that reachable from the right base at x = 0.3 m. The required X and Y changes are approximately 0.475 m and 0.282 m, with an estimated total distance of 0.552 m, so I need several intermediate moves. I’ll retain the 120° Y rotation, raise link6 to about z = 1.05 m for rim clearance, and carry the toy rightward along the front of the table before moving toward the basket. One planned route is from the current pose to [0.05, −0.22, 1.06] m, an estimated distance of 0.168 m, then to [0.20, −0.12, 1.06] m, approximately 0.184 m farther, then [0.32, −0.02, 1.02] m, approximately 0.157 m farther, and finally [0.36, 0.02, 0.96] m, approximately 0.059 m farther, before release. The toy’s bottom may currently be near z = 0.80 m, so I should gain height before substantial horizontal transport. For this action, I’ll use the first target [0.03, −0.24, 1.08] m, requesting +0.137 m in X and +0.13 m in Z, with an estimated target distance of 0.19 m, to raise it clear. The empty left link6 is currently at [−0.328, −0.04, 1.026] m. I considered moving it toward an initial-like pose at [−0.30, −0.30, 1.04] m while retaining its 60° Y rotation, but the estimated distance of 0.26 m slightly exceeds the 0.25 m limit. I’ll instead target [−0.30, −0.22, 1.06] m, an estimated distance of 0.182 m, with the gripper open. This moves the left arm back to prepare clearance for the later reset and keeps it away from the right toy’s path from [−0.107, −0.222] m to [0.03, −0.24] m in XY. I judge the separation at left x = −0.30 m sufficient. I’ll use 10 control steps for both arms, keeping the right gripper closed around the toy.

The wooden toy is held clear of the table and appears near pixel (272, 260) in the high-camera view. I’ll continue carrying it toward the red basket. The measured right link6 position is [0.005, −0.237, 1.054] m; the next target is [0.18, −0.16, 1.07] m, approximately 0.191 m away, with its orientation unchanged and the gripper kept closed. I’ll move the empty left arm backward from its current x = −0.316 m and y = −0.125 m to target position [−0.3, −0.25, 1.06] m, approximately 0.126 m away, keeping its gripper open. I’ll use 10 control steps for both arms.

The right gripper’s opening command dropped from 0.458 to 0.326. The toy is still held, though it may be slipping or rotating. It looks much larger in the wrist view, which I attribute to rotating toward the camera, but its position appears fixed. Could a long transport cause further squeezing? I’ll keep the gripper closed. In the high-camera view, the toy is near pixel (370, 222), approaching the red basket’s front-left area. I first considered moving the right link6 from [0.14, −0.18, 1.065] m to [0.30, −0.04, 1.05] m, estimating the distance at 0.215 m and retaining its orientation. Using the estimated toy offset of −0.065 m in X and −0.113 m in Z, that target would put its center at [0.235, −0.04, 0.937] m, still left of the basket center but perhaps over the front-left interior. A later link6 target of [0.368, 0.02, 0.98] m would put the estimated toy center at [0.303, 0.02, 0.867] m, which looks suitable. I also considered an intermediate target of [0.29, −0.06, 1.06] m, approximately 0.19 m away, before that final placement. For the empty left arm, I considered moving closer to its starting position at [−0.3, −0.32, 0.98] m while retaining the 60° Y-rotation orientation and keeping the gripper open. From its current pose at [−0.302, −0.24, 1.059] m, I estimate that move at 0.113 m. However, robot_reset can return the joints once both arms are clear. The left arm’s initial orientation is a 90° yaw, while its current orientation points the fingers rightward and downward. At another candidate pose, [−0.3, −0.32, 1.06] m, I estimate the tips at x = −0.22 m and z = 0.924 m, in clear space with no nearby table objects. The left arm’s current pose is already in open space in front of the white basket, so I’ll hold it there rather than add another move. The right arm will also need to retract after placement before the reset. For this action, I’ll use 10 control steps to move the right link6 to [0.30, −0.05, 1.06] m with its orientation unchanged and gripper closed, while holding the left arm at its current open pose.

The toy appears near pixel (438, 181) in the high-camera view, over the red basket’s front-left interior. However, the measured right link6 position is [0.247, −0.097, 1.058] m with the 120° Y-rotation orientation. Using the wrist-relative offset, I estimate the toy center at [0.182, −0.097, 0.945] m. Its world x coordinate of 0.182 m is actually left of the basket—is the basket around x = 0.25 m? I need to check the actual world x and y coordinates rather than trust the overhead appearance. I estimate the red basket’s interior extents at x = 0.22–0.38 m and y = −0.01–0.12 m. The toy center at x = 0.182 m is outside the estimated left edge at 0.22 m. Its height makes the projection misleading. My initial thought is that height shifts v rather than u, but what u coordinate does x = 0.182 m project to? Using z_camera = 0.5 × (−0.097) − 0.866 × 0.945 + 1.338 = 0.471 m gives u = 320 + 288 × 0.182 / 0.471 = 431 pixels, close to the observed 438 pixels. The basket center at world x = 0.303 m, y = 0.06 m, and z = 0.8 m projects to u = 450 pixels. The basket’s left image edge near x = 390 pixels may correspond to world x ≈ 0.23 m. The toy’s different height therefore explains why it looks contained despite being left of the actual interior. I should move link6 farther right to x = 0.368 m so the estimated toy center reaches x = 0.303 m. It also needs to move forward. With this orientation, local X has zero world-Y component, so the toy’s y coordinate remains approximately the wrist’s y = −0.097 m, in front of the basket. Its front edge may be around y = −0.04 m. I should move link6 to y = 0.06 m, or at least 0.02 m, before release. The planned final link6 pose [0.368, 0.06, 0.963] m would put the estimated toy center at [0.303, 0.06, 0.85] m. I considered an intermediate target of [0.34, −0.02, 1.05] m, about 0.121 m from the current pose, with the same orientation. I expect that to be reachable on the right side. A subsequent target of [0.368, 0.04, 0.98] m would be about 0.069 m farther. For this action, I’ll instead use 10 control steps toward [0.35, 0, 1.04] m. The planned position change is [+0.103, +0.097, −0.018] m, with an estimated distance of 0.143 m. This would put the estimated toy center at [0.285, 0, 0.927] m, inside the basket’s x extent and near its front edge, which may be around y = 0. Afterward, I can lower and move forward toward [0.368, 0.04, 0.96] m for release.

The measured right link6 position is [0.325, −0.029, 1.039] m. I estimate the toy’s center at [0.26, −0.029, 0.926] m, near the red basket’s front-left area. Its x coordinate of 0.26 m is inside the estimated left edge at 0.23 m, while y = −0.029 m may be near the front edge. In the high-camera view, the toy appears inside the opening near pixel (438, 171). I’ll move the right link6 to [0.36, 0.03, 0.98] m with its orientation unchanged. I estimate that this will place the toy’s center at [0.295, 0.03, 0.867] m, well inside the basket. I estimate the target distance at 0.074 m, and 8 control steps may reach it. I’ll keep the toy grasped during this move and hold the left arm at its current pose, then release the toy afterward.

The measured right link6 position is [0.357, 0.021, 0.98] m, and I estimate the toy’s center at [0.292, 0.021, 0.867] m, inside the red basket. The first wooden toy is visible to the left in the wrist view, with the red basket floor beneath the held toy. I’ll release the right gripper over 6 control steps while holding the left arm in place, then verify that the toy stays inside.

I judge all objects to be contained now: three cars in the white basket, three peppers in the blue basket, and two wooden toys in the red basket. One wooden toy is visible near image x = 438 pixels; the other may be beneath the gripper, though the wrist view shows both. I should return the arms, but first I must move them into clear, open space. The left link6 is already at [−0.302, −0.24, 1.059] m with a 60° Y-rotation orientation. The right link6 is at [0.357, 0.021, 0.98] m with a 120° Y-rotation orientation. Its gripper is open, but its fingers are still near the red basket’s rim and toys. I’ll retract the right wrist upward and backward to [0.30, −0.20, 1.08] m, retaining its 120° Y rotation rather than changing to the initial orientation. I initially estimate the target distance at about 0.246 m. The planned position change is [−0.057, −0.221, +0.1] m; my approximate calculation gives a distance of 0.249 m, just within the 0.25 m limit. I considered 10 control steps for this retraction. The left arm could move toward its initial position of [−0.3, −0.352, 0.922] m, although its current 60° Y rotation differs from the initial 90° yaw. robot_reset will handle that orientation change. Its current position may already provide enough clearance, so resetting after retracting only the right arm is another option. Instead, I’ll move the open left gripper to [−0.3, −0.32, 0.98] m with its orientation unchanged. There appear to be no obstacles along that path, and bringing it closer to its initial position should reduce the return needed during reset. I estimate the left target distance at 0.111 m. I considered 12 control steps for the simultaneous right retraction and left repositioning; my final thought is to use 10 steps for the retraction. After checking that both arms are clear, a robot_reset call allowing perhaps 50 steps may be sufficient. I should inspect the observation after each reset call. There are 442 control steps remaining, which is ample, and I expect native_success will likely become true only after the required arm return.

The right link6 has reached only [0.339, −0.05, 1.026] m and has not fully retracted. It is still above the red basket’s front-right area. The open fingers appear near the basket’s right edge in the high-camera view, but I am unsure whether they have enough clearance for the reset path. Resetting now could cause a collision with the basket. I’ll retract the right link6 farther back to [0.30, −0.25, 1.08] m, keeping its orientation unchanged and its gripper open. I estimate the target distance from the current pose at 0.206 m and expect 12 control steps to produce about 0.15 m of progress. The left arm is already clear, so I’ll hold it stationary during this 12-step action.

The right gripper is now clear in front of the red basket, with its fingers near image coordinates (490, 210) and the basket behind it. The left arm is also clear, so I can reset both arms. Before resetting, I should check that all objects remain stable. In the high-camera view, the two wooden toys appear inside the red basket near (438, 171) and (477, 191), with only a small part of the right toy visible. The white basket contains three cars, and the blue basket contains three peppers. I’ll call robot_reset with 50 control steps to return both arms to their initial joint configurations.

The episode has ended with native_success set to true, so I should briefly report the supplied successful outcome and take no further robot actions. The reset feedback also reports reached_home as false, with a maximum home joint error of about 0.209 rad. Perhaps the episode terminated once the arms were within a task threshold, but that explanation is uncertain. Native success confirms task completion without proving that the arms reached their exact initial configurations. I considered saying that the return sequence finished, but “the arm-return sequence was executed” avoids overstating the home position. I’ll report that the cars, peppers, and wooden toys are sorted into their respective left, middle, and right baskets and that the arm-return sequence was executed.