按语言分拣物体任务成功

I need to put all car objects into the left basket, pepper objects into the middle basket, and watch objects into the right basket, then reset the robot. I should first read the relevant robot-manipulation skill and the observation file, including its calibration, to develop position estimates. There are 1100 control steps available. My initial reading of the high camera image suggests eight objects: two cars, three peppers, and three watches. I see a silver car near the center, with an estimated x around 0, and a yellow car on the right. The possible watches are a brown one near the left gripper, a possibly silver one at image coordinates (392, 250) to the right of the silver car, and another at (462, 270). The peppers appear to be green at (176, 256), red at (224, 240), and yellow at (265, 271). Looking more carefully, the left gripper spans approximately image x coordinates 35–169 and y coordinates 245–310. The small bronze circular object at (130, 280) appears to be a watch. The silver car is at (319, 262), and the yellow car is at (507, 246). I locate the yellow pepper at (265, 271), the green pepper at (176, 255), and the red pepper at (224, 242). The object at (391, 250) looks like a watch with a dark band and circular face, though that identification is tentative. The object at (462, 270) appears to be another watch with a brown band. My working count is therefore eight objects: two cars, three peppers, and three watches. I could use both arms to pick objects concurrently. To estimate their world positions more precisely, I can read the calibration with Python and map image pixels using an estimated table height, the table plane, and the known end-effector poses. First I will read the skill and observation data.

I should plan how to map image locations into world coordinates. In the high camera view, the environment’s x axis points right. Does increasing environment y move upward in the image? The transform gives y_cam = -0.866y - 0.5z + 0.2989 and z_cam = 0.5y - 0.866z + 1.3378. The objects on the table may be at z = 0.78 m. The end effector is at z ≈ 0.922 m, and the gripper appears to be around image y = 277, though that is tentative. I should use the known end-effector projection and finger geometry to estimate the table’s z coordinate. I could then derive object coordinates from the image using an assumed z = 0.8 m. The basket floor height is still uncertain. I will use Python to calculate the end-effector projections and approximate positions at candidate heights.

The fingers may project around image coordinates (93, 252) to (125, 245). Looking again, I locate the left gripper’s black fingers at approximately (94, 249) and (154, 250), with its white base at (70, 280). Does the wrist camera’s optical orientation align with the link6 local +X direction? The wrist transform seems to suggest that relationship. The fingers point along global +Y, while the wrist camera’s forward direction is approximately 0.866y − 0.5z, angled downward. I still need to determine the table height. The initial link6 height is z = 0.9215 m, and the fingers extend horizontally at that height. In the high camera image, the gripper appears above the objects: the left fingertip is around (124, 244), compared with the watch at (130, 280). The table is likely at z = 0.75 m, though I am uncertain. Is 0.75 m a typical table height for this benchmark? The ARX X5 starts around z = 0.92 m; my tentative estimates put the objects around z = 0.78 m and the baskets around z = 0.79 m. Could the world origin instead place the table surface at z = 0? I should infer the height from the camera geometry and known object sizes rather than rely on these assumptions. I can use the calibrated high and wrist views to triangulate corresponding object points and obtain their 3D positions. The two wrist views are separated by 0.6 m, and I also have the high view. The green and red peppers are visible in the left wrist view; the yellow car and the leftmost watch on the right side are visible in the right wrist view. Matching their pixel coordinates across cameras at different angles should let me estimate their positions. I need clearer image coordinates for those correspondences. I could make crops and inspect them with the image viewer, or enlarge the images. I will use Python to prepare enlarged versions of the high and both wrist images for inspection.

I have prepared enlarged camera images to help localize the objects more accurately. I’ll inspect the enlarged high-camera view for clearer object features and pixel locations to support matching points across the calibrated views.

In the left wrist image, at the original resolution, I estimate the green pepper’s center at (355, 435) and the red pepper’s center at (509, 389). In the high-camera image, their centers are approximately (176, 256) and (224, 241). I can try triangulating these pairs, but the high camera mostly sees the peppers’ tops while the wrist camera sees their front sides, so the visible centers may not correspond to the same 3D points. For the green pepper, a possible matching point on the top is (174, 252) in the high view and perhaps (357, 403) in the wrist view. A distinct stem point might be better. The green pepper spans roughly x = 162–190 and y = 243–270 in the high image, with its stem near (174, 253), or possibly (175, 253). In the enlarged wrist image, the central yellow stem tip is at (710, 840), corresponding to (355, 420) at the original resolution, while the long stem extends to (338, 383). Is that central lower stem tip actually at the top of the pepper? Alternatively, I could use the body centers at (174, 256) in the high view and (354, 439) in the wrist view. Their triangulation might be close enough, although the visible centroids differ with viewpoint. Matching the same 3D point at the stem base would be better. I could also estimate the table’s z coordinate by matching the object’s bottom contact point across views. For the red pepper, the bottom appears around (510, 439) in the original wrist image. In the high image, the body spans y = 229–255; its bottom may be at y = 255 or 254, but the actual contact point is uncertain. A candidate pair for the front bottom is (224, 253) in the high view and (511, 439) in the wrist view. If those pixels represent the table contact point, its world z coordinate should equal the table height. I’ll write a general triangulation function and inspect estimates from several candidate matches. For the yellow car, the roof or wheels might provide corresponding points. I may be able to obtain exact positions from high and wrist image pairs using approximate object centers, though I expect z to be around 0.8 m. For now, I’ll try several approximate correspondences and see what they yield.

The triangulation suggests that the table may be at z = 0.76–0.77 m, the peppers around z = 0.8 m, the car center around z = 0.79 m, and the watches around z = 0.77 m. Could I adopt a table height of 0.75 m? The red pepper’s bottom triangulated to about z = 0.776 m, but mismatched image points may explain that estimate; the table could be at 0.77 m. Corresponding wood lines in the high and wrist views could help establish the table plane. Triangulating basket corners might be an easier way to determine their height and dimensions. For a top-down grasp, the fingers extend downward by 0.1576 m. Placing link6 at the object center’s height plus 0.1576 m would put the fingertips at the object center. However, the contact pads extend along the fingers, so perhaps link6 should instead be about 0.12 m above the object center. The fingertips should reach the sides at or slightly below the object center without touching the table. For small objects, setting link6 about 0.16 m above the table would put the tips near the table and the pads around the object’s middle. With a 0.06 m tall pepper and a table at z = 0.76 m, link6 at z = 0.92 m would put the tips at about z = 0.762 m. The pads may extend from about 0.06 to 0.157 m along the fingers, allowing contact near z = 0.8 m. The initial link6 height of 0.9215 m is conveniently close to this estimate. For a car about 0.04 m tall, I might use link6 at z ≈ 0.915 m. A watch is only about 0.01 m thick, though, and link6 at z = 0.915 m would put the tips near z = 0.757 m. Would that be below the table and cause contact? The tips need to be about 0.005 m above the table. The table might instead be at z = 0.75 m, so I need a more precise height estimate. Using the high view with an assumed plane at z = 0.76 m gives roughly plausible horizontal positions: green pepper at (−0.281, −0.149) m, red pepper at (−0.191, −0.119) m, yellow pepper at (−0.104, −0.172) m, and silver car at (−0.002, −0.153) m. My tentative estimate for the left watch is x ≈ −0.351 m and y ≈ −0.193 m. The middle watch is around (0.138, −0.122) m. I am less sure about the right watch’s x coordinate, perhaps 0.273 m or about 0.270 m under this plane assumption, and the yellow car’s x coordinate may be about 0.384 m. These estimates suggest spacing of roughly 10 cm between objects. I should align the closing direction with each object’s shape. The peppers are nearly round and about 5 cm across. For a top-down grasp closing along global X, I can map local X to −Z, local Y to X, and local Z to −Y. The rotation matrix would be [[0, 1, 0], [0, 0, −1], [−1, 0, 0]]. The wxyz quaternion might be [0.5, −0.5, −0.5, −0.5], but I will derive it with SciPy before choosing it. The fingers open and close along local Y. The silver car is elongated diagonally from the lower left to the upper right in the high view, so I should grasp across its smaller width. Its image length is about 50 pixels, approximately 6 cm, and its width about 25 pixels, approximately 3 cm. Its longitudinal direction runs approximately from (303, 273) to (334, 251), giving image differences of dx = 31 and dy = −22 pixels. At z = 0.78 m, I estimate world differences of dx ≈ 0.105 m and dy ≈ 0.076 m, corresponding to a longitudinal yaw of about +36° from world X. I am unsure which end is the front. A perpendicular closing direction would have yaw −54°. For a general top-down orientation, let local X point along −Z and local Y lie horizontally at angle phi. Then local Y is (cos phi, sin phi, 0), and local Z is their cross product, (sin phi, −cos phi, 0). With c = cos phi and s = sin phi, the rotation matrix is [[0, c, s], [0, s, −c], [−1, 0, 0]]. At phi = −54°, c ≈ 0.588 and s ≈ −0.809, so local Y is approximately (0.588, −0.809) across the car, and the matrix is [[0, 0.588, −0.809], [0, −0.809, −0.588], [−1, 0, 0]]. The watches appear to have roughly circular or oval bands about 3 cm across, with a face. Perhaps the pads can pinch opposite edges of the strap across its center; grasping the central face is another possibility. The opening needs to exceed 3 cm, and the maximum may be about 8 cm. A top-down grasp closing along world X or Y should be reasonable. The left watch is partly occluded by the initial left gripper, so I need to move that arm away to inspect it. I could use both arms concurrently for independent picks. One option is to start with the left arm taking the green pepper to the middle basket and the right arm taking a watch to the right basket. The left arm could then handle the red and yellow peppers while the right handles the other nearby watches, followed by the silver car with the left arm and the yellow car with the right. That leaves the leftmost watch to be transported across the table. Perhaps the right arm could collect it after placing the yellow car in the left basket, when that arm is already on the left side. A more useful order may be to have the right arm take the yellow car to the left basket first, then move farther left and down to collect the leftmost watch and carry it to the right basket, followed by the remaining watches. Meanwhile, the left arm can handle the three peppers and then the silver car. This assigns four objects to each arm: three peppers and the silver car to the left, and three watches and the yellow car to the right. It involves long travel for the right arm but seems feasible within 1100 control steps and avoids a later crossing. I must maintain separation when both arms work near the center or cross the table. Starting both arms with cars would risk simultaneous placement in the left basket. It seems better to start with the right arm taking the yellow car to the left basket while the left arm takes the green pepper to the middle basket. The baskets are roughly 0.3 m apart, and the grippers may be about 0.12 m wide, so separated placements seem possible. The next motions could cross near the center if the right arm carries the leftmost watch to the right basket while the left carries the red pepper to the middle basket. I can stagger these motions or operate one arm while holding the other. Sequential operation would reduce collision risk, but the arms’ initial poses may obstruct objects: the left watch is beneath the left gripper, and a right-side watch is near the right gripper. I could move both arms to safe poses before proceeding sequentially. Concurrent operation is encouraged when safe, but it is not necessary. A rough estimate of eight picks, each with five motion calls averaging five steps plus 20 placement steps, gives about 360 steps. There is enough control budget to proceed carefully. I will start with the green pepper in the left arm and the yellow car in the right, using appropriate top-down yaw orientations. I need to calculate the quaternions and intermediate motions so each target remains within 0.25 m and 1.0 rad of the measured pose. Python and SciPy can provide these orientations. I will refine the object positions with wrist views after approaching. The green pepper’s estimated center is [−0.283, −0.154, 0.801] m. A possible link6 grasp pose is [−0.283, −0.154, 0.925] m, which would put the tips near z = 0.767 m, just above the tentative table height of 0.76 m. The yellow car’s triangulated body center is about [0.390, −0.121, 0.781] m, but the high view may be identifying the roof while the wrist view identifies a side centroid. Its actual center might have x closer to 0.38 m. Mapping high-camera point (507, 246) at z = 0.79 m gives x ≈ 0.384 m and y ≈ −0.125 m. The roof center may instead be near (505, 241), and the car spans approximately (485, 230) to (529, 264). My working car-center estimate is therefore about [0.384, −0.126, 0.79] m. A car grasp with link6 at x = 0.384 m, y = −0.126 m, z = 0.91 m would put the tips near z = 0.752 m using the 0.1576 m finger extent. That would be about 0.008 m below a table at z = 0.76 m and could cause contact. Link6 at z = 0.925 m instead puts the tips at z = 0.7674 m, about 0.007 m above the table, which seems suitable for contacting the car’s lower sides. I can use the same link6 height for the pepper, with tips near z = 0.767 m. The rotation from the initial 90° yaw orientation to top-down may be about 120°, or 2.094 rad, so a direct target would exceed the 1.0 rad orientation bound. I need intermediate orientations, which I can calculate with SciPy using spherical interpolation or rotation vectors. Before rotating, I should lift into clear space. Rotating at the initial link6 height of 0.9215 m could swing the fingers into nearby objects. The green pepper is around x = −0.28 m, y = −0.15 m, close to the initial left fingertip at approximately x = −0.3 m, y = −0.195 m, z = 0.921 m. Its top may be at z = 0.83 m, leaving only about 0.09 m below the horizontal fingers. Rotation sweeps the fingertips through a radius of about 0.157 m around link6 and could reach the pepper. A safer option is to keep the current orientation and lift link6 to about z = 1.08 m, a vertical increase of about 0.158 m. Then I can rotate to top-down through three intermediate steps at that height before moving horizontally above the objects. I could lift both arms concurrently by about 0.15 m, perhaps over five control steps. A link6 height of 1.1 m may be reachable, but that remains subject to the kinematic precheck. From the initial left position [−0.2995, −0.3523, 0.9215] m and the corresponding right position with x ≈ 0.30047 m, I am considering an initial target height of z = 1.07 m over five steps, followed by intermediate quaternion targets. Tilting 45° while moving over the objects is another option, but lifting first seems safer. I will calculate the top-down orientations and intermediate quaternions, and save concise notes about the object estimates and arm assignments in work/notes.md for later reference.

I’ll inspect the enlarged yellow-car crop to refine its apparent orientation and choose a grasp across its width before approaching.

Could the yellow car’s front point toward the upper left? Its visible wheels appear to run diagonally from upper left to lower right. I locate the black wheels at crop pixels (230, 240) and (380, 350), corresponding to full high-camera image pixels (488.75, 245) and (507.5, 258.75). Could these be an axle pair? I interpret them as two wheels on the same side, running along the car’s length. Their image displacement is approximately dx = 19 pixels and dy = 14 pixels. Positive image dy means decreasing world y, so I estimate the car’s longitudinal world yaw as −40°. I would therefore grasp across its width with a closing-direction angle phi of 50°. I’ll inspect the silver-car crop next.

The silver car’s long axis runs from the bottom left to the top right in the image, suggesting a world yaw of approximately +45°. I will use a closing-direction angle phi of −45° to grasp across its width. First, I will lift both arms to a link6 height of z = 1.07 m while keeping their current orientations, creating clearance before rotating for top-down grasps.

Both arms moved only about 0.0565 m in five steps, or roughly 0.0113 m per step rather than the 0.02 m maximum, apparently because of IK limits. The commanded target does not prove arrival. I could continue lifting toward z = 1.07 m for perhaps five more steps, or begin rotating at the measured height of z = 0.978 m. I estimate that the fingers now have enough clearance, about 0.15 m above the table. Rotating them downward could bring the tips to z ≈ 0.82 m at the current horizontal positions. The nearby left watch is around x = −0.37 m, y = −0.19 m, and the green pepper is around x = −0.28 m, y = −0.15 m. After the lift, the left fingertip is approximately at y = −0.195 m, z = 0.978 m. With the green pepper’s top around z = 0.83 m, that leaves about 0.148 m of clearance. A downward-pointing tip would reach z ≈ 0.82 m near y = −0.352 m, away from the objects near y = −0.15 m, so rotating here seems safe. The right arm has a similar situation. I can move toward the objects afterward. I need intermediate orientations. For the green pepper, I will use the top-down orientation that closes along global Y, with wxyz quaternion [0.707, 0, 0.707, 0]. Its orientation distance from the initial pose is about 2.094 rad. A halfway target would require 1.047 rad, just over the 1.0 rad command limit. At interpolation fraction 0.45, the rotation would be about 0.942 rad, but the remaining rotation to the final pose would still be 1.152 rad. I could use fractions 0.45 and 0.85, giving a second increment of about 0.838 rad and a final increment of about 0.314 rad. Alternatively, fractions 0.4 and 0.8 would give increments of about 0.838 rad, 0.838 rad, and 0.419 rad. For the right arm’s yellow-car grasp, the closing-direction angle phi is 50°, and the total rotation may be close to 2.7 rad. I could compute separate intermediate quaternions for each arm at fractions 0.35 and 0.7. The first increment might be about 0.95 rad; for the left arm it would be about 0.733 rad, and for the right perhaps 0.93 rad. I could also move above the objects while rotating, perhaps at z = 1.02 m, or use approach positions at z = 1.05 m with intermediate orientations. Each position target must remain within 0.25 m of the measured pose. A combined position and orientation change might fail the IK precheck, though it seems likely to pass. I should calculate from the exact measured poses in the observation JSON rather than the rounded displayed quaternions. One option is a helper that reads each new observation and produces explicit incremental targets, limiting rotation to 0.8 rad and clamping translation, perhaps to a position change of at most 0.18 m. A script such as work/interp.py could take the observation, desired positions, and quaternions for both arms. The skill prohibits accessing simulator internals or another controller; an interpolation helper based only on observed poses seems consistent with that restriction. Still, I do not need a separate script yet and can calculate the quaternions directly with Python. I will now calculate the desired left top-down orientation closing along global Y and the right orientation with phi = 50°, along with intermediate orientations from their current measured poses at fractions 0.35 and 0.7.

The full rotations to the desired orientations are 2.095 rad for the left arm and 2.535 rad for the right. At interpolation fraction 0.35, the first intermediate targets require 0.733 rad on the left and 0.887 rad on the right, both below the 1.0 rad command limit. I could use three control steps, but rotation is limited to 0.1 rad per solve, so three steps would allow only 0.3 rad and would not reach the right target of 0.887 rad. That would need nine steps. Since the arms are in clear space, I can use more steps for this rotation and reserve one to three steps per action for the final approach. I will use eight steps for the first intermediate targets. Eight steps allow at most 0.8 rad, so the right arm may not fully reach its target; that is acceptable for this intermediate motion. I could rotate at the current height of z = 0.978 m, keeping the positions fixed. For additional clearance, I will instead lift both arms simultaneously to z = 1.03 m, a height increase of 0.052 m, during the eight-step action.

The arms rotated only about 0.45 rad in eight steps rather than the intended roughly 0.8 rad, giving an estimated rate of 0.055 rad per step. Joint-increment scaling constraints appear to be limiting the motion. I may need more steps or another intermediate target. The left arm’s measured wxyz quaternion is [0.773, 0, 0.152, 0.617]; what tilt does that correspond to? It is still far from the intermediate target [0.806, approximately 0, 0.292, 0.514]. I could repeat that target for another eight steps and perhaps reach it. There is plenty of control budget, and the observation file contains the exact measured quaternions. Could I use the targets at interpolation fraction 0.7 from the initial orientations? The rotation from the current pose to those targets might be about 0.8 rad for the left arm and 1.2 rad for the right, so I should check against the 1.0 rad command limit. Instead, I can interpolate directly from each current orientation toward its final orientation, initially considering a maximum increment of 0.8 rad. A helper can print a target whose relative rotation is the smaller of 0.8 rad and the remaining angle. I can also move toward the objects while rotating. From the left arm’s current position [−0.297, −0.352, 1.028] m, a position above the green pepper at [−0.283, −0.154, 1.04] m is about 0.199 m away. From the right arm’s current position [0.304, −0.352, 1.029] m, the position above the car at [0.39, −0.121, 1.04] m is perhaps 0.248 m away; the horizontal distance from differences of 0.086 m and 0.231 m is about 0.247 m. That is within the 0.25 m bound, but the IK precheck might still be difficult. I will use an intermediate y coordinate of −0.20 m and height z = 1.05 m instead, with an estimated right-arm travel distance of 0.165 m. With the fingers partly tilted and link6 near z = 1.03 m, the lowest fingertip may be around z = 0.9 m, leaving clearance above objects around z = 0.83 m. I plan to maintain z = 1.04 m while moving over the objects until the grippers point downward, then descend. I will now calculate each arm’s next orientation from its exact current pose toward its final orientation, limiting the rotation increment to 0.75 rad. For the subsequent eight-step motion, I plan intermediate position targets of [−0.283, −0.20, 1.05] m for the left arm and [0.39, −0.20, 1.05] m for the right.

The right arm still has about 2.12 rad remaining to its desired final orientation, despite having rotated about 0.4 rad. Its initial rotation to the final orientation was 2.535 rad, and it may have progressed about 0.44 rad. The left arm has 1.717 rad remaining. The next intermediate targets request 0.75 rad of rotation, but eight steps might produce only about 0.4 rad of actual rotation. Since the arms are in open space, I could use 12 steps to get closer to those targets. At the estimated rate of 0.055 rad per step, 12 steps would produce about 0.66 rad. The planned positional travel is roughly 0.16 m; at about 0.01 m per step, 12 steps might move only 0.12 m, so the arms may still fall short of their targets. I will use 12 steps. The episode’s total control budget is 1100 steps.

In the high-camera view, a finger of the left gripper seems close to the green pepper; could it be making contact? The pepper appears to remain in the same position. The right wrist view of the car now looks somewhat top-down, even though the gripper’s quaternion has not reached its final orientation. The wrist camera’s orientation is changing as the gripper rotates. I will calculate the remaining rotation from the current poses to the desired final orientations, using a maximum rotation increment of 0.75 rad. I am considering position targets of [−0.283, −0.154, 1.03] m for the left link6, about 0.116 m from its current position, and [0.39, −0.121, 1.03] m for the right link6, about 0.158 m away. Perhaps I will use 12 control steps for the next motion. Could I target the final orientations directly if the remaining angles are at most the 1.0 rad command limit? I will calculate those angles first.

I will use 12 control steps for this next approach and alignment motion.

The left gripper is now nearly above the green pepper, but the pepper appears in the lower-right part of the wrist view because the gripper is not yet oriented top-down. I should finish aligning both grippers. I’ll calculate the remaining rotation from each measured orientation to its desired final orientation.

The left arm’s final orientation is within 0.764 rad of its measured orientation, while the right arm’s next intermediate target requires 0.85 rad. I am considering a left link6 position of [−0.283, −0.154, 1.02] m while completing its orientation at height, and a right link6 position of [0.39, −0.121, 1.03] m. Both position changes are small. I initially considered 10 control steps, but the actual rotation rate may be about 0.06 rad per step. The left arm needs about 0.76 rad, so I will use 12 steps. The right arm may also reach its 0.85 rad intermediate target in that time. With the left link6 at z = 1.03 m and its y coordinate near the green pepper, I estimate that the fingertips will descend to about z = 0.87 m during the final rotation. The pepper’s top is around z = 0.83 m, leaving about 0.04 m of clearance, which seems safe. The right car’s top is around z = 0.82 m, so I also expect sufficient clearance there.

The left gripper’s fingers appear horizontal in the high-camera view, but its measured wxyz quaternion, [0.73, 0, 0.682, 0.044], is close to the desired [0.707, 0, 0.707, 0], so local +X should point roughly downward. I estimate the fingertips are at z ≈ 0.87 m. Do they project near the green pepper at image y ≈ 246? The bottom of the left gripper appears around (150, 257), while the pepper’s center is near y = 255. The gripper might be just above the pepper but offset to its left. In the wrist view, the green pepper is centered around (352, 207), compared with the image center at (320, 240). I need to understand the wrist camera’s orientation relative to the fingers and determine where a correctly centered grasp should appear. With a top-down gripper, the camera’s mounting offset might put the gripper midpoint around (320, 390), but that is uncertain. In the initial wrist image, do the fingers extend from the lower left and right toward the center? Their visible tips were around (110, 256) and (550, 256). They may still appear along the left and right edges when the gripper points downward. In the left wrist view of obs_000049, the black fingers occupy approximately x = 0–120, y = 257–480 on the left and x = 515–640, y = 257–480 on the right. Their tips may be the upper inner corners at (112, 256) and (524, 256). The central grasp point probably has image x ≈ 320, but I do not yet know its y coordinate. Is the camera mounted behind the gripper and looking along the fingers’ local +X direction? With link6 oriented top-down, it may look downward with a slight tilt. An object centered between the fingertips might appear around (320, 300), though that is another tentative estimate. The green pepper, currently around (352, 208), appears somewhat high in the image; could that mean it is farther forward than the grasp center? I should use the camera extrinsics and gripper geometry to determine the projections rather than rely on these guesses. For obs_000049, I will project link6 and points along local +X, including the fingertip point 0.1576 m forward and a possible finger-contact location 0.12 m forward, with no local Z offset. I can compare the projected fingertips with the visible fingers and see where the current gripper tip lies relative to the pepper. I can then use the object’s pixel ray at the estimated table height to estimate its world coordinate.

The projection places the right fingertip center at environment x = 0.440 m, y = −0.0886 m, while link6 is at x = 0.390 m, y = −0.122 m. Because local +X is not yet fully downward and the wrist has rotated in yaw, the fingertips have horizontal offsets of approximately +0.05 m in x and +0.034 m in y. The car is around (0.39, −0.12) m, so I estimate the tip is about 7 cm northeast of it. Could this explain why the car appears to the right and below in the wrist view? I should finish the orientation so local +X points down and the horizontal offset disappears. The left tip at (−0.272, −0.1445) m is much closer to the green pepper at (−0.283, −0.154) m, with an estimated offset of 1.5 cm. With the final top-down orientation, the fingertip center and link6 should have the same x and y coordinates, so I should center link6 over each object. The fingertip center projects to wrist pixel (320, 274.7), while the green pepper’s center is around (352, 208), approximately 67 pixels above it. With link6 over the pepper at z = 0.925 m, the tip would be near z = 0.767 m and the object center near z = 0.80 m. Where would that center project after the final rotation? I initially considered projecting the final pose to check whether the contact region’s image position changes. However, the camera extrinsics are fixed relative to link6, so projections of local gripper points depend only on their local coordinates. The point at local x = 0.1576 m should always project to (320, 274.7), and the centerline point at local x = 0.12 m projects to y = 428.4. Thus, the tip center is approximately at (320, 275), and the proposed finger-contact center is approximately at (320, 428). Perhaps the object center should be around local x = 0.12 m for contact. That would put it at image y = 428.4; wrist-camera grasp targets in many manipulation benchmarks are often around (320, 400) when ready. The green pepper’s current y = 208 may mean it is beyond the fingertip plane, at local x greater than 0.1576 m, because link6 is still too high. Link6 is at z = 1.029 m and the pepper center is estimated at z = 0.801 m, a vertical difference of 0.228 m. With local +X downward, that would put the object around local x = 0.228 m, beyond the fingers, and perhaps project near y = 184. This seems consistent with its current image y = 208. Lowering link6 to z = 0.921 m would place the pepper center approximately 0.12 m along local +X and project it near y = 428. The fingertips would extend about 0.038 m below the object center, to z = 0.763 m, close to the estimated table height of z = 0.76 m. My revised pepper grasp-height target is therefore z = 0.921 m rather than 0.925 m. After completing the orientation and centering x and y, I can descend while watching for the object to reach approximately y = 400–430 in the wrist image. The right car’s center may be at z = 0.79 m, suggesting a link6 grasp height of z = 0.91 m. At the current link6 height of z = 1.029 m and incomplete orientation, its body appears around image y = 300 and is partly occluded by the right finger. With the final orientation, centered x and y, and link6 at z = 0.91 m, its center would be at local x = 0.12 m and project near y = 428. The proposed descent is about 0.118 m. I will finish both orientations first at z = 1.03 m, then use the wrist views to refine horizontal alignment. The left remaining rotation may be about 0.13 rad; comparing its quaternion components near 0.730 with the desired 0.707 suggests about 0.132 rad. The right remaining rotation may be about 0.5 rad, perhaps 0.53 rad, which should be below the 1.0 rad limit. I will command the left final orientation at position [−0.283, −0.154, 1.03] m and the right final wxyz quaternion [0.66446, 0.24184, 0.66446, −0.24184] for eight steps, keeping both grippers open. If the left reaches its orientation sooner, the remaining steps will hold it there; I expect the right to reach its target as well.

Both grippers are now top-down. In the wrist views, I estimate the green pepper’s center at (320, 168) and the yellow car’s center at (334, 165). The visible finger edges begin around image y = 260, while the objects are above them around y = 165. How far down should I move to bring the object centers into the contact region? An object at local x = 0.228 m would project to what image y coordinate? At local x = 0.12 m, I expect y ≈ 428, suggesting a descent of about 0.108 m. For the green pepper’s estimated center height of z = 0.801 m, the proposed link6 grasp height is z = 0.921 m. For the car, the wrist view shows the roof, so the visible center may not represent the body’s grasp center. If the body center is at z = 0.785 m, its current vertical separation from link6 is 0.244 m, suggesting a link6 target of z = 0.905 m. Should I instead use z = 0.925 m for the left link6? I am uncertain whether the pepper location at image y = 168 represents its stem or body. Its whole top is visible; I estimate the stem center at (320, 165) and the body center around (320, 163). The triangulated world center height was z = 0.801 m. With link6 currently at z = 1.03 m, the vertical difference is 0.229 m. I will use the current calibration to project the estimated green-pepper world position into the left wrist view and compare it with the observed location. A match would support the estimate. I will also project the car’s estimated world center at [0.39, −0.121, 0.781] m into the right wrist view.

The green pepper looks larger now, with its center around wrist-image y = 203, or perhaps y = 201. The yellow car’s center may be around y = 180; its visible extent runs from y = 75 to y = 292, giving a center around y = 183. Using the car’s estimated z = 0.781 m and the current right link6 height of 0.993 m, the separation of 0.212 m predicts image y = 195, which seems reasonably consistent. I should descend about another 0.07 m. One option is to target z = 0.94 m for both arms over three steps. I expect an actual descent of about 0.03 m, leaving the left link6 around z = 0.964 m and the right around z = 0.959 m. I could then target z = 0.921 m for three steps, reaching roughly z = 0.93 m, followed by perhaps two final steps. Alternatively, I can target z = 0.921 m now for three steps. I expect only about 0.034 m of actual descent, leaving the left link6 around z = 0.963 m and the right around z = 0.959 m, which seems safe. I can repeat the short approach afterward. I will use the z = 0.921 m target with three steps now.

The left link6 is at z = 0.964 m, and the green pepper’s estimated center is at z = 0.801 m. Their separation of 0.163 m predicts a wrist-image position near y = 260 pixels, matching the observed pepper center at y = 260. On the right, the separation from the car’s estimated center is 0.177 m, which may project near y = 228 pixels; the observed car center is at y = 230. Lowering the left link6 to z = 0.921 m would give a separation of 0.12 m and a projected center near y = 428. Lowering the right link6 to z = 0.92 m would give a separation of 0.139 m and a projected center near y = 330. At the left grasp height, the green pepper’s body will appear very large, and its stem may be between the pads. The left gripper closes along global Y: with the final top-down orientation, local Y aligns with global Y. Does the wrist image’s horizontal direction correspond to local −Y? That seems likely, since the fingers appear on the left and right, closing horizontally across the image. The pepper currently spans image x = 210–430, a width of 220 pixels. I am unsure of the inner gap at the proposed contact distance of 0.12 m, but the open finger edges at x = 120 and x = 520 give a width of 400 pixels, which appears sufficient. The car spans x = 235–435, a width of 200 pixels. The gripper gap at a distance of 0.14 m may be narrower, but it still appears open enough. The remaining planned descent is 0.043 m on the left and 0.038 m on the right. At roughly 0.011 m per control step, three steps should produce about 0.033 m of descent, leaving approximately 0.01 m. I will use three steps toward the final grasp-height targets, keeping both grippers open.

The green pepper now appears very large in the left wrist view, with its center at image y > 400 and its body extending to the bottom. At the measured left link6 height of z = 0.931 m, the estimated separation from the pepper center is 0.13 m, which predicts a center near image y = 380. The yellow car also appears large and extends toward the bottom of the right wrist view; its center may be around y = 320. The planned right link6 height of z = 0.92 m gives an estimated separation of 0.139 m and predicts a center near y = 331. The planned left height of z = 0.921 m gives a separation of 0.12 m and predicts the pepper center near y = 428. The right arm is already at z = 0.924 m, nearly at its planned height. I could close now, or lower the left arm by 0.01 m over one step while holding the right arm. The pepper center may already be close to the finger-pad contact region at local forward distance d = 0.13 m, based on z = 0.931 − 0.801 m. Is the open gap sufficient around it? The pepper spans image x = 150–490, while the inner finger edges are at x = 123 and 517 at y = 260. I am less sure where the fingers lie at y = 400; the left black finger may cover x = 0–125. The pepper’s width is about 340 pixels and the gap about 390 pixels, which seems adequate. A small descent to z = 0.921 m while holding the right arm seems appropriate. The car is about 290 pixels wide at image y = 300, and the gap between the fingers may be about 400 pixels, which also seems sufficient. Could I close the right gripper now? At right link6 z = 0.924 m, the fingertips are near z = 0.766 m, above the estimated table height of z ≈ 0.76 m. The car center is at an estimated local forward distance d = 0.143 m, placing it around the contact pads. Its horizontal grasp-center target, x = 0.39 m and y = −0.121 m, also seems appropriate. I considered closing the right gripper for two steps while the left descends for one, but the action’s step count applies to both arms. I could request two steps with the left target at z = 0.921 m and the right held at z = 0.924 m with closure commanded. However, closure interpolation may need three to five steps to finish. The current opening command is 1, and two steps of closure might only bring it to about 0.7. Would that be enough? Three closure steps while the left moves to its final height is another possibility. Could lowering the left arm to z = 0.921 m bring the fingers into the table? The estimated fingertip height would be z = 0.7634 m, which seems safe. I also considered closing both grippers over three steps: the pepper’s current distance of d = 0.13 m seems acceptable, and lowering during closure might work. Still, I prefer to finish the descent before closing. I will lower the left arm to z = 0.921 m over two steps while holding the right arm at z = 0.924 m, with both grippers open. I initially considered four steps for the subsequent closure, but the grasping instructions call for one to three steps per action, so I will plan on three closure steps instead.

I will now close both grippers for three control steps while holding the wrists at their current poses.

After three closure steps, the opening commands are 0.377 for the left gripper and 0.423 for the right. The left fingers appear to touch the green pepper’s sides, with the black fingers covering its edges, so it looks held. The right fingers appear to contact the yellow car’s sides near its lower body. I could continue closing for two more steps toward full closure. The objects may prevent the physical gap from closing completely even as the command goes to 0; the native opening command is an interpolated controller value, not a measured finger gap. I considered combining further closure with a lift, but I should check closure before lifting. I will hold both wrists stationary and keep both grippers commanded closed for two steps, then perform the test lifts.

The opening commands have settled at 0.375 on the left and 0.422 on the right rather than 0. Could object contact explain this? The reported opening is the latest interpolated command; it can differ from the requested endpoint and is not a measured finger gap. I would have expected five closure steps to reach 0 at a rate of about 0.2 per step. The left command went from 1 to 0.377 after three steps, a rate of about 0.207 per step, then changed only to 0.375 after two more steps. Perhaps contact stops further closure. Could the native opening value reflect the simulated joint, or could force limiting affect the interpolated command? It may converge to a target corresponding to the object’s width under position actuation. I am uncertain about the mechanism, but contact appears visible. I will make small test lifts, commanding a +0.035 m change in z for both arms over three control steps while holding their orientations steady and keeping the grippers closed. The left link6 target height is 0.958 m and the right is 0.959 m. I expect about +0.03 m of actual lift. I need to confirm in the next observation that the pepper and car move with their grippers.

In the high-camera view, the green pepper seems to have moved upward from image y = 255 to about 250, suggesting that it is grasped. The yellow car may have moved from y = 246 to about 235; it appears near the right gripper around y = 239 and seems to be absent from its original position. My estimate of its current high-camera location is (502, 235), compared with (507, 246) before the lift. That change is consistent with its projection changing as it rises with the gripper. The car remains stable between the fingers in the right wrist view, and the green pepper also remains stable in its wrist view and beneath the gripper in the high view. I conclude that both objects are held. I now need basket-center estimates for transport. The opening centers in the high view appear to be roughly (194, 173) for the left white basket, (319, 173) for the middle blue basket, and (450, 173) for the right basket. The basket bottoms may be at z = 0.79 m and the rims at z = 0.84 m. I could triangulate corresponding basket points across the high and wrist views, or map the high-camera pixels onto an assumed z = 0.80 m plane. Under that assumption, white-basket pixel (194, 177) maps to approximately [−0.296, 0.053, 0.80] m, with horizontal centers [0, 0.053] m for blue and [0.303, 0.053] m for red. The exact opening-center pixel is still uncertain, perhaps around y = 175. The white basket’s outer bounds appear to be image x = 137–257 and y = 141–213, and its inner bounds approximately x = 149–245 and y = 146–195. Is the inner floor center near (194, 185), with the visible bottom around y = 190? Alternatively, the opening polygon may have corners around (150, 141), (243, 141), (257, 196), and (135, 196). A crop could help resolve this. My working estimate is a basket height of about 0.06 m, a front wall at image y = 197–211, and an interior-floor center near (194, 176). The resulting world center at z = 0.80 m is approximately [−0.296, 0.053] m horizontally. Basket centers at x = −0.30, 0, and +0.30 m with y = 0.05 m seem plausible. Possible link6 targets are [−0.30, 0.06, 1.02] m for white and [0, 0.06, 1.03] m for blue, with horizontal coordinates [0.30, 0.06] m for red. The held objects extend roughly 0.12–0.14 m below link6. With link6 at z = 1.03 m, I estimate their bottoms at z = 0.89–0.91 m, leaving about 0.05 m above a rim at z = 0.84 m. A transport height of z = 1.05 m therefore seems suitable. For placement, I could lower link6 to about z = 0.95 m over the basket center before opening. The pepper’s bottom is about 0.03 m below its center; with its center about 0.122 m below link6, its bottom is approximately 0.152 m below link6. If the basket floor is near z = 0.79 m, placing the bottom at z = 0.80 m would require link6 at z = 0.952 m. For the car, I initially considered a bottom offset of 0.158 m; using a center offset of 0.133 m and a bottom 0.02 m below the center gives a bottom offset of 0.153 m, again suggesting link6 near z = 0.95 m. If the floor is higher, around z = 0.82 m, the object might contact it sooner and prevent further descent. I could instead use link6 at z = 0.97 m and release for a drop of 1–2 cm. Since container placement has no orientation requirement, releasing over the center at z = 1.0 m for a drop of a few centimeters is another option. I prefer lowering to z = 0.97 m, which would put the object bottom near z = 0.82 m and close to the floor; releasing at z = 0.98 m for a roughly 3 cm drop is also possible. I should center the objects to avoid the walls. The basket opening width is uncertain, perhaps about 0.27 m. A high-camera width of 110 pixels might correspond to 0.28 m, but an initial scale estimate of 288 divided by a depth of about 1.1 gives 260 pixels/m and a width of 0.42 m. Could the baskets instead be about 0.16 m wide? Using y = 0.05 m and z = 0.82 m gives a camera depth of 0.025 − 0.71 + 1.338 = 0.653 m, a horizontal scale of 441 pixels/m, and a width of 0.249 m for 110 pixels. My working estimate is therefore about 0.24 m wide and 0.15 m deep, with ample room for objects about 0.06 m across. The right arm must carry the car from x = 0.39 m to x = −0.30 m, a distance of 0.69 m, requiring several actions of about 0.2 m each. I should avoid crossing the middle basket and the other arm. I could first lift both arms to z = 1.08 m, move the left toward the blue center, and move the right through a staging pose around [0.10, −0.12, 1.08] m before continuing to white. For simultaneous motion, another option is to move the left from horizontal coordinates [−0.283, −0.155] m toward [0, 0.06] m while staging the right from [0.39, −0.122] m toward [0.25, −0.25, 1.08] m in front of the baskets. The left could then place the pepper while the right travels along y = −0.25 m toward x = −0.30 m. A direct right-arm path from [0.39, −0.122] m to [−0.30, 0.06] m could pass near the blue basket at [0, −0.03] m, perhaps near its front edge. The held car’s bottom would be around z = 0.92 m, above a rim near z = 0.85 m, but the arms could still collide if the left is at blue. A better staged plan is to move the left to blue and hold it there while the right follows a high path at y = −0.20 m and z = 1.10 m toward white. Could that path pass above the left arm? Crossing x = 0 while the left is at [0, 0.06] m remains a concern, although the 0.26 m front-to-back separation may be sufficient for the grippers and arms. The right could then approach white from y = −0.20 m to y = 0.06 m while the left remains at blue, with 0.30 m separation in x. These separated portions may be performed concurrently. For the immediate action, I will lift both link6 frames to z = 1.08 m with both grippers closed. The proposed lift is about 0.124 m. Six control steps may produce only about 0.06 m of actual rise; I considered eight steps, but the vertical path appears clear, so I will use six and inspect the next observation.

Both objects remain held. I can continue lifting while moving the left arm toward the middle blue basket. At a link6 height of z = 1.025 m, I estimate the object bottoms at z = 0.87 m and the basket rim perhaps at z = 0.83 m, so there already appears to be clearance for horizontal motion at the same height or slightly higher. I initially considered a left target of [−0.10, −0.10, 1.08] m, with an estimated travel distance of 0.198 m, and a right target of [0.20, −0.20, 1.08] m, with an estimated distance of 0.205 m. Both are within the 0.25 m position bound. I expect about 0.1 m of actual motion in six to eight control steps and initially planned to use eight. I then considered targets of [−0.10, −0.08, 1.08] m for the left arm and [0.18, −0.20, 1.08] m for the right. The paths should avoid the silver car at x = 0 m, y = −0.157 m and the yellow pepper at x = −0.11 m, y = −0.176 m. The held pepper would travel from horizontal coordinates (−0.283, −0.157) m toward (−0.10, −0.08) m above those objects. At link6 z = 1.02 m, its estimated bottom height of z = 0.87 m is above the other pepper’s estimated height of z = 0.82 m, so I judge that path safe. The right arm would carry the car from x = 0.39 m to x = 0.18 m and from y = −0.124 m to y = −0.20 m, above the watches at about z = 0.78 m. The arms remain separated. A direct left-arm target over the blue basket at [0, 0.05, 1.08] m would be too far: using the horizontal differences, sqrt(0.283² + 0.207²) is about 0.35 m, exceeding the 0.25 m bound. I will instead use an intermediate left target of [−0.15, −0.08, 1.08] m, with an estimated distance of 0.157 m. I also considered a right target of [0.18, −0.18, 1.08] m, with an estimated distance of 0.217 m. After this intermediate motion, I could move the left arm toward blue and the right toward [−0.05, −0.18, 1.08] m. Since the immediate paths appear clear, I will use ten control steps.

The arms are moving more slowly than planned, but progress is satisfactory. The left link6 is at horizontal coordinates (−0.196, −0.11) m, with the green pepper held above the white basket’s front-right edge rather than the blue basket yet. The right link6 is at (0.254, −0.175) m, possibly above the right watch, and the car remains held. For the left arm, I considered a target of [0, 0.05, 1.08] m. I estimate its horizontal distance as sqrt(0.196² + 0.16²) = 0.253 m, slightly above the 0.25 m command limit; including the 0.024 m height change gives about 0.254 m. I will instead choose [−0.03, 0.03, 1.08] m, with an estimated distance of 0.238 m. For the right arm, [0, −0.20, 1.08] m may be about 0.258 m away and exceed the limit, so I will choose [0.03, −0.20, 1.08] m, with an estimated distance of 0.228 m. The left path moves from y = −0.11 m to y = 0.03 m, while the right stays in the lane at y = −0.20 m. At the proposed targets, the left arm at x = −0.03 m, y = 0.03 m and the right at x = 0.03 m, y = −0.20 m would have about 0.23 m separation. I judge that sufficient for arms and grippers about 0.15 m in size and held objects about 0.06 m in size. I will use ten control steps.

The left-arm precheck failed for the target near the blue basket, with a position error of about 0.1 m. Could the local IK search be stuck because the arm is fully extended or near a joint limit with its top-down orientation closing along global Y? The current left link6 position is [−0.196, −0.11, 1.056] m, and the rejected target was [−0.03, 0.03, 1.08] m, about 0.24 m away. Perhaps reaching forward at this height is the difficulty. I could use a shorter intermediate move or change the orientation. The right-arm precheck presumably passed, but neither arm moved because the left failed. I will shorten the left target to [−0.08, −0.03, 1.07] m, an estimated distance of 0.144 m, and continue toward the basket afterward. I will keep the right target at [0.03, −0.20, 1.08] m and use eight control steps for this revised simultaneous motion.

The left arm failed the precheck again. Perhaps moving across in x while keeping its orientation fixed is causing a reach problem, or the local IK search is stalling from the current joints. Could the held object be responsible? No—the precheck checks kinematics only. I should try a smaller move or a different approach pose. I will try a left link6 target of [−0.12, −0.06, 1.06] m, about 0.09 m from its current position, and hold the right arm stationary to isolate the left-arm movement and avoid unnecessary motion. I should use the right arm’s exact measured position and quaternion from the observation JSON rather than the rounded values, keeping its gripper closed. I will read those poses now, then plan a five-step action with the smaller left-arm target.

I will try a left link6 target of [−0.14, −0.07, 1.06] m, only about 0.07 m from its measured position, and a right link6 target of [0.15, −0.20, 1.08] m, about 0.11 m away. I can try moving both arms with these shorter targets. The left-arm precheck might still fail even for a small move if this direction is problematic; I will inspect the feedback.

Is the green pepper in the left gripper now above the white basket? In the high-camera view, I estimate the gripper at pixel (220, 193), over the gap between the white and blue baskets, and perhaps the pepper at (222, 203). The measured left link6 coordinates are x = −0.154 m and y = −0.083 m; I expect its high-camera projection around pixel x = 226, though I have not determined the image y coordinate. The blue basket begins around image x = 260, and the white basket ends around x = 255. My revised estimate puts the gripper and green pepper near (225, 196), above the white basket. I want to move the left arm rightward toward world x = 0 m and y = +0.05 m. Why did the larger targets fail the precheck? Perhaps the current joints are near a singular configuration with the top-down orientation that aligns local Y with global Y. The wrist yaw may limit the arm as it reaches across. Shorter moves appear possible. The right link6 is at x = 0.183 m and y = −0.193 m. I estimate the held car at high-camera pixel (437, 236), perhaps in front of the blue basket. Its eventual destination is the white basket. For the next short segment, I will target the left link6 at [−0.08, −0.03, 1.06] m, about 0.09 m from its current position, which will likely pass the precheck. I will target the right link6 at [0.08, −0.20, 1.08] m, about 0.103 m away. I will use eight control steps.

The left-arm target at x = −0.08 m and y = −0.03 m keeps failing the precheck, even with a planned move of only about 0.09 m. The precheck is purely kinematic, so perhaps the local IK search is struggling in this direction near a joint limit. I may need an intermediate orientation or a lower z coordinate. The commanded orientation is unchanged, although the measured orientation is slightly different. Changing to a top-down orientation that closes along global X, with a 90° yaw rotation, might give the arm an easier posture for reaching the center. Alternatively, could a left-arm target with y = 0.03 m help it move forward? I should inspect the current joint state for clues about joint limits. I will read the measured joints and end-effector poses now.

The left arm’s joint 2 is at 2.0885 rad, perhaps near a maximum of 2.094 rad or a limit around 2.09 rad. Joint 3 is at 2.0949 rad, also possibly near a limit, and joint 4 is at −1.5766 rad. This may be a singular, folded configuration. Does moving toward the center require joint 2 to exceed its limit? Lowering z might help, or changing the wrist yaw might avoid the limitation. The initial joints were all at 0. In the current top-down pose, local Y aligns with global Y, and the left joint values are approximately [−0.377, 2.088, 2.095, −1.576, 0, 1.194] rad. The second and third joints being near 2.09 rad could indicate limits, but they might simply result from this orientation. If both limits are around 2.1 rad, their values seem suggestive; however, I do not know the ARX X5 joint conventions. Could joints 2 and 3 instead allow values from 0 to 3.14 rad? The state is reported in measured radians, though I am questioning whether I am interpreting its joint conventions correctly. My comparison with the right arm uses approximately [0.374, 0.428, 1.624, 1.56, −1.507, 0] rad, which looks more normal. Is the left elbow folded back because it is reaching across? The asymmetry despite the mirrored initial configurations may come from the left top-down orientation, which puts joint 5 near 0 and joint 4 near −π/2. Changing the left wrist yaw to a top-down orientation that closes along global X may give it an easier posture. The pepper has no required placement orientation, so I can rotate it while holding it. A 90° rotation about the vertical seems safe at this height, with no nearby contact. The desired global-X closing orientation has wxyz quaternion [0.5, 0.5, 0.5, −0.5]. Its rotation from the current global-Y closing orientation is 1.571 rad, exceeding the 1.0 rad command limit, so I need an intermediate yaw of 45°. For a top-down closing-direction angle phi of 45°, I estimate the wxyz quaternion as [0.6533, 0.2706, 0.6533, −0.2706], or more precisely [0.653281, 0.270598, 0.653281, −0.270598]. I am unsure of the general quaternion formula; could it involve cos(phi/2)/sqrt(2)? The earlier examples were approximately [0.664, 0.242, 0.664, −0.242] at phi = 50°, [0.5, 0.5, 0.5, −0.5] at phi = 0°, and [0.707, 0, 0.707, 0] at phi = 90°. The difference from phi = 90° to phi = 45° appears to be π/4, about 0.785 rad, within the command limit. I will rotate the left wrist to phi = 45° at its current position, around z = 1.055 m, over eight control steps. This may change the joint configuration and make the remaining reach into the blue basket easier. The right arm can meanwhile continue toward x = 0.08 m and y = −0.20 m. Its earlier target likely passed the precheck; the left failure prevented either arm from moving. I will keep both grippers closed and inspect the result.

The right link6 is now at approximately x = 0.08 m, y = −0.20 m. In the high-camera view, I estimate the held yellow car at pixel (364, 247), close to the silver car at (319, 263), but its bottom is high enough that I judge the clearance safe. The left wrist has only partially rotated, perhaps to a closing-direction angle phi of about 67° rather than the requested 45°, but that may be enough to allow further translation. I could try moving the left link6 directly over the blue basket to [0, 0.05, 1.07] m, an estimated distance of 0.205 m from its current position; perhaps the precheck will now pass. A shorter alternative is [−0.06, 0, 1.07] m, about 0.13 m away. For the right arm, the proposed target [−0.20, −0.18, 1.08] m is about 0.281 m away, exceeding the 0.25 m command limit, so I will instead choose [−0.14, −0.20, 1.08] m, about 0.221 m away. With the left moving from x = −0.154 m to −0.06 m and y = −0.083 m to 0, and the right moving from x = 0.081 m to −0.14 m along y = −0.20 m, I expect about 0.20 m of separation in y and judge the paths sufficiently separated. I plan to use eight control steps. Should I keep the left wrist’s current orientation or continue toward phi = 45°? Combining that rotation with translation might cause another precheck failure, so retaining the exact current orientation would isolate the translation. The displayed wxyz quaternion [0.696, 0.123, 0.696, −0.124] corresponds to approximately phi = 67.5°. Placement in the blue basket has no orientation requirement, so keeping this orientation should be acceptable. I will also keep the right wrist’s orientation unchanged. The rounded left quaternion might be adequate, with an estimated orientation error of 0.002, but its unit norm is only approximate. I will read the exact measured poses and joints from the current observation file before constructing the next targets.

The left arm’s joints 2 and 3 remain essentially unchanged near what may be their maximum values after the yaw adjustment; only joint 6 changed appreciably. This suggests that the top-down orientation is achieved primarily through joints 4 and 6, while joints 2 and 3 remain at their apparent limits. They may not actually be at their limits, though—the readings near 2.09 rad could instead reflect the links lying in the same plane near the edge of the arm’s reach. Perhaps the elbow needs to straighten to reach the center, but the local IK search is stuck at a boundary. Lowering the left arm substantially, perhaps to z = 0.95 m, might allow progress. At its current link6 height of z = 1.055 m and y ≈ −0.08 m, could it be near its maximum vertical reach? I do not know the arm base’s z coordinate; the initial link6 height was about z = 0.92 m. At this forward position, the horizontal distance from the base may be about 0.5 m. Lowering z should make the target easier to reach. I could descend while moving the pepper toward the blue basket, using a left link6 target of [−0.06, 0, 1.0] m rather than maintaining z = 1.08 m. I estimate that target is 0.116 m away, and it may pass the precheck. The right arm can continue its transfer. It might also encounter reach limits later while crossing left at z = 1.08 m, in which case I could lower it to z = 1.02 m as it approaches. I estimate the held green pepper’s bottom is currently near z = 0.90 m with left link6 at z = 1.055 m. Lowering link6 to z = 1.0 m would put the pepper’s bottom near z = 0.845 m, close to the estimated rim height of z = 0.85 m. Moving over the white and blue baskets at that height could clip a rim, although descending over the basket center should be acceptable. I could retain the current height for horizontal motion until a precheck fails, then rotate or lower, but the previous move of approximately +0.08 m in x and +0.05 m in y at z = 1.06 m already failed. Lowering may be necessary. I will try a smaller left link6 target of [−0.10, −0.04, 1.02] m, an estimated move of 0.07 m, while the right arm targets [−0.14, −0.20, 1.08] m. Will this pass the precheck? I will use six control steps and keep both grippers closed.

The right arm failed the latest precheck; the left may have passed, since the checks are independent and only the right arm was named in the failure feedback. The right arm may be near a reach limit while crossing left at this height with its current orientation. I should proceed systematically with a shorter target. I will keep the left link6 target at [−0.1, −0.04, 1.02] m, which likely passes, and shorten the right link6 target to [0, −0.2, 1.06] m, about 0.083 m from its measured position. I will use six control steps.

The right-arm target nearly passed the precheck. I could shorten its x motion by 0.01 m or hold its current z coordinate. I will try a right link6 target of [0.01, −0.2, 1.07] m, about 0.072 m from its measured position, while keeping the left target at [−0.1, −0.04, 1.02] m. I expect this revised target to pass.

The arms appear quite close near the center in the high-camera view. Their upper portions are around image x = 260–370, with perhaps 20 cm of separation, so I need to watch for collisions. The held green pepper appears at image coordinates (263, 188), over the left edge of the blue basket. The held yellow car appears at (320, 255), near the silver car but above it. I could move the left link6 over the blue basket to [0, 0.05, 1.0] m, an estimated distance of 0.14 m, and move the right toward the white basket to [−0.15, −0.18, 1.07] m, an estimated distance of 0.165 m. There could be an arm collision as the right crosses near x = −0.1 m, y = −0.18 m while the left is at x = 0 m, y = 0.05 m, although I estimate their separation at about 0.23 m and judge that adequate. Keeping the right path near y = −0.20 m and the left near y = 0 m should separate them. The right must also clear the silver car at [0, −0.157] m and the yellow pepper at [−0.11, −0.176] m. I estimate the held car’s bottom height as link6 height minus 0.15 m, or about z = 0.92 m, and the fingertips as link6 height minus 0.157 m, or about z = 0.91 m. Both should clear objects around z = 0.83 m. The right arm’s body also appears to be high, though I am less certain about that. The left gripper’s closing-direction angle phi is still approximately 67°. I will retain that orientation and target [0, 0.055, 1.0] m over the blue basket. I considered a right target of [−0.14, −0.20, 1.07] m, but the cross-table reach may fail the precheck. Instead, I will use the shorter target [−0.07, −0.20, 1.07] m, about 0.081 m away, and continue toward x = −0.15 m later. My estimated left-arm position change is 0.139 m. I will use eight control steps, keeping both grippers closed.

Both arms failed the precheck for motions toward or across the center. Perhaps joint 1 limits are preventing them from crossing the center. I should inspect the current joint values. The left arm’s joint 1 was negative and the right arm’s was positive; would crossing the center require a sign change through 0? That should be possible, but I am uncertain. The right link6 is currently at x = 0.011 m, and I do not know its current joint 1 value. I will read the measured joint state.

I’ll inspect the enlarged blue-basket crop to clarify its interior and rim position before continuing the pepper placement.

The arms obscure the blue basket. The held green pepper appears near the boundary between the white and blue baskets, around image coordinates (250, 190). With the left link6 at x = −0.108 m and y = −0.048 m, I tentatively expect its high-camera image x coordinate to be around 270 pixels; the blue basket’s left edge is around x = 260 pixels. I should move toward world x = 0 m, corresponding to image x = 320 pixels, and perhaps y = 0 m. I will target the left link6 at [−0.01, −0.02, 0.96] m and move the right arm’s car toward the handoff point at [0.05, −0.30, 1.02] m. From the right arm’s current position of [0.011, −0.201, 1.069] m, I estimate that move as 0.113 m. Moving back toward its base should allow the right-arm precheck to pass. For the left arm, I estimate a horizontal move of 0.099 m and a descent of 0.061 m, for a total distance of about 0.116 m. That target may also pass. I will use six control steps and retain both wrist orientations. I expect the arms to remain clear of each other: the left moves slightly right and back, with y changing from −0.048 m to −0.02 m, while the right moves toward the front at y = −0.30 m, increasing their separation.

Even the right arm’s move back toward its own base failed the precheck. Could the local IK search be stuck near joint limits, with the arms close together and the target requiring a different elbow configuration? The precheck does not assess collisions. I should look for allowable directions through small motions or change the orientations to escape a singular configuration. My current right-joint interpretation is j1 = 0.374, j2 = 0.859, j3 = 2.036, j4 = 2.07, j5 = −1.605, and j6 ≈ 0 rad. Perhaps j4 = 2.0700 rad is exactly at a maximum near 2.07 rad, and the requested motion would require exceeding it. On the left, j2 = 2.3294, j3 = 2.3491, and j4 = −1.592 rad. The right j5 value is also near a possible limit of −1.6 rad. Both arms may be stuck because their orientations require joints near their limits. A wrist yaw or tilt change might free them. An alternative top-down gripper yaw of 180°, retaining the downward direction but reversing the closing-axis sign, could yield a different joint solution, though it would require a large rotation. A smaller tilt away from vertical is another option. These precheck failures do not establish global unreachability. Could I compute IK myself from the measured state? I cannot access simulator internals or another controller, but I can reason from the observations and probe small, reversible motions in clear space. Both objects appear to be held high enough for an orientation adjustment. The right gripper currently has a top-down closing-direction angle phi of 50°, while the left is around 67°. I could rotate the right to phi = 90°, closing along global Y, or to phi = 0° to try to free joints 4 and 5. However, a +40° yaw change to phi = 90° might affect only joint 6. The earlier left change from phi = 90° to approximately 67° changed joint 6 from about 1.19 to 1.54 rad while leaving the rest of the chain essentially unchanged. The right arm’s initial 90° yaw orientation, its transition to top-down phi = 50°, and its cross-table movement produced a more complex joint configuration. I am uncertain about the joint roles. Could joint 4 be wrist roll rather than an arm joint? My working interpretation of the six ARX joints is base yaw, shoulder, elbow, wrist pitch, wrist roll, and wrist yaw. Under that interpretation, right joint 4 near 2.07 rad is wrist pitch and joint 5 near −1.6 rad is wrist roll. The current top-down orientation may require wrist pitch beyond 2.07 rad for the requested arm posture. A different yaw might change the chain configuration, but tilting local +X away from exactly −Z may reduce the wrist-pitch requirement and permit translation. I do not need an exact top-down orientation during transport. I could tilt the fingers slightly toward horizontal, for example by 20° about local Y, then move. The held object would rotate, but I expect the grasp to remain secure. I can calculate a target by rotating the current quaternion about local Y or global Y, and a failed precheck would execute no controls. For a downward-pointing gripper, a +0.3 rad rotation about global Y maps −Z to [−sin(0.3), 0, −cos(0.3)], pointing toward global −X and downward. For the right handoff toward y = −0.3 m, a tilt toward −Y may be more useful. A +0.3 rad rotation about global X maps −Z to [0, sin(0.3), −cos(0.3)], tilting the fingers toward +Y and the baskets; −0.3 rad tilts them toward −Y and the front. The left arm’s basket motion is toward +Y, so it could tilt in that direction. I will choose the left target orientation as R_x(+0.35) multiplied by its current orientation, and the right as R_x(−0.35) multiplied by its current orientation. These tilts follow the intended travel directions and may ease the wrist configurations. At fixed link6 positions, I estimate that the horizontal finger component would shift the held objects by about 0.05 m. The left pepper is currently over the white/blue rim, so tilting toward +Y may move it farther into the blue basket; the right car would tilt toward the front, away from the silver car. I estimate that the fingertips would rise by 0.025 m because they point less directly downward, which seems safe. I am considering an orientation-only action at both current positions for five control steps. Each requested rotation is 0.35 rad, within the 1.0 rad command limit, though the precheck may still fail. First I will use SciPy and the exact measured orientations in obs_000112 to calculate the target quaternions.

The tilt motion succeeded. Is the yellow car now hanging from the right gripper, or resting on the table? In the high-camera view, I initially estimate it at pixel (327, 285), near the original positions of the silver car and yellow pepper, which makes me wonder whether it slipped during the tilt. However, it remains centered between the fingers in the wrist view, so I conclude it is still held. My revised high-camera estimate is (329, 294), lower in the image than before. This seems consistent with the tilt toward global −Y moving the held object toward the front. Although I initially wondered whether it also moved downward, the tilt should move it slightly upward vertically; moving toward the front explains the increase in image y. I will now try translations while retaining the current measured tilted orientations. The right wrist appears close to its requested orientation, while the left has only partially reached its target. I plan a left link6 target of [−0.01, −0.02, 0.98] m and a right link6 target of [0.05, −0.30, 1.02] m. These may now pass the kinematic precheck. The rounded quaternions might suffice, but I will first read the exact measured poses and joint state from obs_000118 so I can preserve the current orientations precisely.

The right arm’s joint 4 is now at 2.199 rad, above its previous value of 2.07 rad, so 2.07 rad was not its limit. Its joint 5 is at −1.864 rad. The left arm’s joints 2 and 3 have also changed, which is encouraging. I will retry the short transfers using the current tilted wrist orientations.

The left target is close to passing the precheck, but the right still has a position error of about 73 mm. I will shorten both requested motions: the left link6 target will be [−0.02, −0.025, 0.99] m, and the right target will be [0.03, −0.24, 1.05] m. I initially estimate the right position change at about 0.044 m; my revised estimates are about 0.09 m for the left and 0.047 m for the right. Perhaps both targets will pass. I should avoid prolonged sequences of failed prechecks, although they consume no control steps. I will continue gradually looking for feasible targets and use five control steps for this attempt.

The left gripper’s opening command has dropped from about 0.372 to 0.338; could the green pepper be slipping? It still appears held in the wrist view. The measured left link6 position is [−0.054, −0.036, 1.001] m. The blue basket fills the wrist-view background, suggesting that the pepper is over it. Could I release now at a link6 height of z = 1.0 m? The tilted fingers point downward and toward +Y. If the pepper’s center is about 0.13 m along local +X, with a vertical offset of about 0.12 m, its center would be near z = 0.88 m and its bottom near z = 0.85 m. The basket rim might be at z = 0.88 m, though that is uncertain. I could lower to z = 0.97 m while centering toward x = 0 m and y = 0 m. A possible left target is [0, −0.01, 0.97] m, about 0.063 m from the current pose, which may pass the precheck. The right arm could continue toward the handoff target [0.05, −0.28, 1.02] m, also an estimated 0.063 m move. I am considering five control steps. If the left target fails, releasing from the current horizontal link6 coordinates, x = −0.054 m and y = −0.036 m, might still place the pepper in the blue basket’s front-left interior. The arm currently occludes the pepper in the high view, but the wrist view shows blue directly behind it, so it is likely inside. The tilt may offset the held pepper about 0.04 m toward +Y, putting its world coordinates near x = −0.054 m and y = 0 m. My estimated blue-basket interior spans x = ±0.11 m and y = −0.02 to +0.1 m, so that position seems suitable. Releasing at link6 z = 1.0 m might let it drop about 0.05 m onto the floor and avoid another difficult reach. Before deciding, I should estimate the pepper’s world position from the measured gripper pose. At the initial top-down grasp, link6 was at z = 0.923 m and the estimated pepper center was at z = 0.801 m, giving a local +X offset of 0.122 m. That offset may remain unchanged after the grasp and tilt if the pepper has not slipped. The current left wxyz quaternion is approximately [0.678, 0.199, 0.707, −0.042]. I will calculate its local +X direction and estimate the pepper center as the measured end-effector position plus R × [0.122, 0, 0] m, subject to the no-slip assumption.

The estimated green pepper center is at [−0.055, −0.009, 0.882] m, with its bottom near z = 0.85 m. The blue basket’s front interior edge may be at y = −0.009 m, so the pepper could be over the front wall rather than safely inside. I should move its center about +0.03 m in y, toward y = 0.02 m. One possible link6 target has y = 0 m and x = −0.03 m, which I estimate would put the object at y = 0.027 m. Lowering link6 to z = 0.98 m would put the pepper center near z = 0.86 m and its bottom near z = 0.83 m. If the rim is around z = 0.85 m, that descent could hit the front wall unless the pepper is already inside. I will therefore move horizontally first, toward y = 0.01 m while remaining near the current height of z = 1.001 m, and lower afterward. A left link6 target of [−0.03, 0.01, 1.0] m is an estimated 0.055 m move and should pass the precheck. I estimate the pepper center at that target as [−0.03, 0.018, 0.881] m, inside the front interior. Releasing at link6 z = 1.0 m might leave its bottom near the rim height of z = 0.85 m, allowing a 5 cm drop to a floor at z = 0.80 m. It would be better to lower after moving inside, to link6 z = 0.97 m, putting the pepper center near z = 0.851 m and its bottom near z = 0.82 m, close to the floor. The estimated yellow-car center is [0.022, −0.270, 0.927] m. It is already at the handoff location near y = −0.27 m even though the right link6 is at y = −0.224 m, because of the tilt. Should I lower link6 to z = 0.93 m to set it down? With the local forward axis’s vertical component near −0.944, I estimate the car center as link6 z minus 0.131 m. A resting car-center height of z = 0.781 m would require link6 at z = 0.912 m. The fingertip’s local forward distance is 0.1576 m, with a vertical offset near −0.149 m, placing the tip at z = 0.763 m when link6 is at z = 0.912 m. A handoff link6 position at x = 0.02 m and y = −0.224 m puts the car center near y = −0.270 m. That appears clear of the silver car at y = −0.157 m and the yellow pepper at y = −0.176 m; I estimate about 0.1 m of separation and judge it safe. The right arm could lower directly to z = 0.915 m at its current x and y, then release, avoiding the reach difficulties of moving link6 to y = −0.30 m. Another possible target is [0.022, −0.24, 0.93] m, which I estimate would put the car center at y = −0.286 m and z = 0.798 m, with its bottom at z = 0.778 m. I prefer to lower in two stages while moving the pepper inside. I considered lowering the right link6 from z = 1.058 m toward z = 0.96 m, a requested descent of 0.098 m, with perhaps 0.05 m of actual descent in five steps. For the immediate action, I will instead use left target [−0.03, 0.01, 1.0] m and right target [0.03, −0.24, 0.98] m for five steps, keeping both grippers closed. The right-arm descent may pass the precheck; if it does not, I can adjust the tilt. I will inspect the feedback rather than assume arrival.

The left arm’s precheck still rejects the requested +0.046 m change in y while retaining its exact wrist orientation. I could shorten the move or add more tilt to change the posture. A left link6 target of [−0.04, −0.02, 1.0] m, with an estimated position change of 0.022 m, would likely pass. I can keep the right target unchanged. The green pepper is currently near the blue basket’s front edge. It might drop mostly inside if I release it now, but I would prefer to move it another 0.02 m inward first. I will try the left target [−0.04, −0.015, 1.0] m, with an estimated position change of 0.029 m, while retaining the right target [0.03, −0.24, 0.98] m to continue lowering the car. I will use four control steps with both grippers closed.

Even the roughly 0.03 m move failed the precheck, though it came close to passing. I could hold the current position and add another 0.2 rad of tilt about global +X, as before, then try translating. Alternatively, the left arm may be near its maximum reach in +Y and unable to move the held pepper farther inside at this height and orientation. Could I release now if the estimated pepper center at y = −0.009 m is already over the front interior? I need a more precise estimate of the basket boundaries. I could triangulate the blue basket’s front inner lip using the high-camera view and the current left wrist view, which shows the blue interior. In obs_000123, I am unsure which wall is visible. With the tilted camera, the blue region appears in the upper-left background and the green pepper is in the foreground. There is a white diagonal highlight in the blue region near image x = 0, but I have not identified its y coordinate; could it be part of the basket bottom? I will prepare a crop of the blue basket from the initial high-camera image, where the arms do not obscure it, to inspect its boundaries and map them into world coordinates.

I’ll inspect the enlarged crop of the blue basket from the initial view to clarify its interior boundaries. This should help resolve whether the pepper’s estimated position is safely inside or still near the front rim before releasing it.

The basket crop is enlarged by a factor of six. Its back top edge at crop y = 90 corresponds to original-image y = 90/6 + 125 = 140 pixels, and its front top edge at crop y = 400 corresponds to y = 191.7 pixels. The front of the inner floor at crop y = 390 corresponds to original-image y = 190 pixels. The floor center seems to be around original-image coordinates (320, 175). I estimate the front lip’s top at image y = 192 pixels, with a possible rim height of z = 0.85 m. What world y coordinate does pixel (320, 192) imply at that height? I initially considered y = 0.005 m, but the earlier mapping at z = 0.85 m put image y = 177 at world y = 0.007 m, suggesting image y = 192 corresponds to about −0.019 m. At z = 0.80 m, I initially considered world y = 0.026 m, then about 0.024 m: the earlier mapping put image y = 177 at world y = 0.053 m, and the additional 15 pixels downward correspond to approximately −0.029 m in world y. The lip’s estimated world y therefore depends on its height. If the actual rim is near z = 0.84 m, its front lip may be around world y = −0.01 m. The green pepper’s estimated center is at y = −0.009 m, with its bottom near z = 0.85 m. That puts it near the front lip at y = −0.01 m and at about the rim’s height. Releasing here could leave it sitting on the lip. I should move it inward by at least 0.04 m. I can move the pepper inward by tilting the gripper farther toward +Y while keeping link6 stationary. The object’s horizontal offset increases with d × sin(tilt). The current finger-forward axis has a +Y component of 0.224, corresponding to about 13° of tilt. Increasing the tilt to 35° would give an object offset of about 0.07 m, moving the pepper approximately +0.043 m in y without translating link6. It would also raise the estimated center from z = 0.882 m to about z = 0.90 m, helping it clear the rim. I will rotate the left wrist an additional +0.35 rad about global X, giving a total tilt of about 33° and a finger-forward +Y component near 0.57. I expect the pepper to move another +0.043 m in y and rise about 0.02 m. Its estimated center would then be at y = 0.034 m, x remaining near −0.055 m, and z near 0.90 m, which should put it inside the basket. I can then open the left gripper once the center is inside. The release might involve a drop of about 0.08 m. If the floor is at z = 0.80 m, releasing from a center height of z = 0.90 m could instead mean a 10 cm drop; the pepper might bounce, although I expect it to be robust. After tilting, I could lower link6 by about 0.02 m if feasible, or release directly. Another option is to combine the tilt with a 0.03 m downward translation, without changing link6 y, to keep the pepper’s center near z = 0.88 m. That downward motion may be reachable, but I will first rotate and inspect the result. The right arm can lower the car simultaneously. The previous precheck rejection named only the left arm, so the right target likely remains acceptable. I plan to keep the left link6 at [−0.054, −0.036, 1.001] m and set its orientation to R_x(0.35) multiplied by its current orientation. The right target remains [0.03, −0.24, 0.98] m. I am considering six control steps for that action. First, I will calculate the left target quaternion from its measured orientation.

The proposed orientation gives a total tilt of about 33°. I estimate that the pepper’s offset toward +Y will be 0.066 m, placing its center at y ≈ 0.03 m and z ≈ 0.899 m. That looks suitable for moving it inside the blue basket. I will keep the right arm’s car-lowering target and use six control steps for both arms.

The left wrist has only partially reached the requested tilt; the finger-forward axis may now have a Y component of about 0.44. I estimate the green pepper’s center at [−0.051, 0.02, 0.895] m, inside the blue basket. The right link6 is at z = 1.011 m, and I estimate the car’s center at z = 0.88 m, still about 0.1 m above the table, so it needs further lowering. I can open the left gripper now. With the pepper’s center at z = 0.895 m, its bottom near z = 0.86 m, and the basket floor perhaps at z = 0.80 m, I expect a drop of about 6 cm, which seems reasonable. Lowering the left arm another 0.02 m while holding the pepper might now be feasible with the changed orientation, but I do not think the added risk is necessary. I initially considered three steps to release the pepper and four steps to lower the right link6 toward z = 0.95 m, a requested descent of 0.061 m. I will use one four-step action, holding the left wrist stationary while opening its gripper and continuing to lower the right arm with its gripper closed. I expect the pepper to drop into the blue basket after release.

The green pepper is in the blue basket. The right arm still holds the yellow car, with link6 at z = 0.968 m. I estimate the car’s center at z = 0.837 m and its bottom at z = 0.817 m, still about 0.06 m above the table. The tilted gripper’s forward axis has a component of about 0.33 toward −Y. I should lower link6 to z = 0.915 m, a requested descent of 0.053 m; four steps might produce about 0.04 m of actual descent. I can then release the car. The open left gripper is at [−0.051, −0.032, 1.003] m over the blue basket, near the right arm at [0.028, −0.237, 0.968] m. Their separation in y is 0.205 m, which seems adequate. The left arm needs to withdraw and prepare to pick either the yellow car or the red pepper. The car’s handoff center is around x = 0.028 m, y = −0.28 m. Would picking it with the same tilt require the left link6 to be above x = 0.03 m, y = −0.24 m? That is essentially where the right arm is now, so the left cannot approach until the right releases and retreats. I could leave the car on the table and have the left arm handle the red or yellow pepper first. The red pepper at x = −0.196 m, y = −0.118 m is reachable from the left arm’s current position. After releasing the car, the right arm can collect the watch initially seen at image x = 391, around world coordinates [0.14, −0.13] m, and take it to the right red basket. This would separate their paths: the right moves from the handoff link6 coordinates [0.03, −0.24] m toward [0.14, −0.13] m, while the left moves from approximately [−0.05, −0.03] m toward the red pepper at [−0.196, −0.118] m. I should still watch for arm collisions near the center. For now, I will lower the car while withdrawing the empty left gripper. I considered moving the left above the red pepper at about z = 1.0 m, with a target of [−0.18, −0.12, 1.02] m, approximately 0.16 m away. Its wrist is still tilted; I can restore a top-down orientation later. However, its open fingertips currently extend into the blue basket. Could moving diagonally forward and left drag the green pepper? The pepper has settled at the basket bottom and the gripper is above it, but the fingers may be near the rim. Lifting while withdrawing seems safer. An intermediate left target of [−0.10, −0.10, 1.04] m, estimated at 0.13 m away, would move upward and toward the front before approaching the red pepper. I considered six steps for this concurrent withdrawal and car-lowering motion, and a right link6 height target of 0.92 m. I will use five steps, keeping the left gripper open and the right gripper closed.

The right link6 is at z = 0.921 m. I estimate the yellow car’s center at z = 0.79 m and its bottom at z = 0.77 m, so table contact is likely. The opening command changed from 0.398 to 0.368, which suggests that the car settled or the gripper adjusted. I will release it while holding the right wrist stationary. The left arm can continue withdrawing toward the red pepper. The pepper is nearly circular, so I could retain the current tilted orientation for travel, but a top-down orientation should provide a better view and grasp alignment. The left fingers currently tilt about 25° toward +Y. I will rotate back to the top-down orientation that closes along global Y, with wxyz quaternion approximately [0.707, 0, 0.707, 0], while moving link6 to [−0.196, −0.118, 1.02] m. I estimate the rotation at about 0.6 rad, within the 1.0 rad command limit. The precheck might still fail because of reach, but moving toward the left arm’s base should help. I initially planned three steps for the right release. I will use eight steps for the combined action so the left arm can move and rotate while the right opens at its current pose. I expect the car to remain resting on the table once released, with the right wrist stationary and its gripper held open for the remaining steps. The left arm moves away from the right, so I judge the motions sufficiently separated to avoid collision.

The right gripper’s opening command is 0.861 rather than fully open at 1.0, despite eight steps commanded open from an initial value of 0.368. I expected it to reach 1.0, but it is nearly open. The yellow car remains on the table at image coordinates (343, 332). The left link6 is at [−0.18, −0.11, 1.02] m with a top-down orientation. The red pepper’s center in the wrist view is around (338, 208), offset from image x = 320. Its estimated world center is [−0.196, −0.119, 0.793] m. The current horizontal end-effector offset of 0.016 m and 0.009 m appears to explain the approximately +18-pixel horizontal image offset. I could use a link6 grasp target of [−0.196, −0.119, 0.923] m, placing the estimated pepper center about 0.13 m along the fingers. Alternatively, z = 0.921 m would give a contact offset of 0.128 m and put the fingertips near z = 0.763 m, which seems suitable. First I will align x and y while approaching to z = 0.98 m, then descend further. The right arm should lift and move toward the watch estimated at x = 0.147 m, y = −0.129 m. Its wrist is currently tilted toward −Y, and the car has been released. I am considering a link6 approach target of [0.14, −0.13, 1.04] m, an estimated distance of 0.16 m, while rotating to a top-down orientation. Should the watch grasp close along global X or global Y? The watch at high-camera coordinates (391, 250) appears to have a tall oval band, spanning approximately (381, 232) to (405, 263), with the face perhaps at the top. Its image height is about 31 pixels and width about 24 pixels. My working interpretation is a circular band lying flat, so either closing direction seems reasonable. I will choose the top-down orientation closing along global Y, with wxyz quaternion [0.707, 0, 0.707, 0]. From the current tilted orientation with closing-direction angle phi = 50°, I estimate a rotation of about 0.6–0.8 rad, within the 1.0 rad command limit. The right link6 is currently at [0.031, −0.239, 0.922] m, with the tilted fingers still around the released car near x = 0.028 m, y = −0.28 m. Lifting vertically with the current tilt before translating would clear the car, but a diagonal motion upward, rightward, and toward the back also seems likely to be safe. The car extends approximately over y = −0.28 ± 0.05 m, and the target at y = −0.13 m moves away from it. I will approach the red pepper with the left target [−0.196, −0.119, 0.98] m and the watch with the right target [0.14, −0.13, 1.04] m, both open and oriented top-down to close along global Y. The arms will move apart. I considered eight control steps but will use six. If the right arm’s combined translation and rotation fails the precheck, I can split the motion.

The right arm rose only 0.025 m and has not reached its target. It is still near the released car, with its fingers open and its orientation still changing. I should continue toward the watch. Perhaps the combined position and orientation target was too far, but the precheck passed; the execution appears limited by the joint motion rate. The red pepper is centered at approximately (320, 220) pixels in the left wrist view. With the left link6 at z = 0.98 m, the estimated vertical separation from the pepper is 0.187 m, predicting image y = 218 pixels, which agrees well. I will target z = 0.923 m for the left arm. I expect three steps to lower it about 0.033 m to z = 0.947 m, with another short descent needed afterward. For the right arm, I will retain the target [0.14, −0.13, 1.04] m and the top-down orientation that closes along global Y. I considered ten steps to advance it farther, but the step count applies to both arms. Three steps will keep the left descent slow while allowing the right arm to make some progress. The right arm is moving away slowly along what appears to be a safe path. I will use three steps now, keeping both grippers open, and continue with short actions as needed.

The red pepper’s body looks large and is centered around (307, 300) pixels in the left wrist view. The current estimated vertical separation between link6 and the pepper center is 0.153 m, which predicts image y = 295 pixels and agrees well with the observed position. I will lower the left link6 another 0.023 m toward z = 0.923 m over three control steps. The right arm is moving slowly, so I will keep it approaching the watch during the same three-step action.

The red pepper is ready for closure in the left gripper. The right gripper remains open and is still moving above the yellow car’s handoff area and the silver car toward the watch. I considered using five control steps, but I will use three to close the left gripper while continuing the right arm toward its link6 target of [0.14, −0.13, 1.04] m. I will hold the left wrist stationary during closure and allow the grasp to settle afterward.

In the right wrist view, the watch is now in the upper-left corner, the yellow car is on the right, and the silver car is lower in the image. The right arm is moving toward the watch. Its measured wxyz quaternion is [0.715, 0.045, 0.688, −0.118], so it is close to, but has not yet reached, the top-down orientation. I will continue toward its existing target. The left gripper has just completed three closure steps, with an opening command of 0.415, and contact with the red pepper seems likely. I could hold it closed for two more steps before lifting, or use three stationary closure steps while the right arm continues and test the lift afterward. However, closure is probably sufficient, as it was for the green pepper, so I will test the lift now. I initially considered a three-step test lift of 0.035 m, targeting the left link6 at z = 0.958 m with its orientation unchanged. I will instead use five steps so the right arm can make more progress toward the watch. Could five steps produce a 0.045 m lift and overshoot the 0.035 m target? The controller should stop at the target. I will keep the left gripper closed and the right gripper open during this action.

The right wrist view places the watch near pixel (300, 145), with link6 at z = 0.98 m. I should lower toward z = 0.92 m, but first refine the horizontal alignment. A more specific estimate of the ring center is (302, 147), while the desired image coordinate is u = 320. Its world x coordinate may be about 0.133 m rather than 0.14 m. How does wrist-image horizontal position map to world coordinates in this top-down orientation? The green pepper projected to u = 320 when link6 was centered over it. The yellow car at world x = 0.39 m projected to u = 331 despite link6 also being at x = 0.39 m, apparently because of the remaining orientation error. Where was the car centered after the orientation finished? In the current orientation, local Y aligns with global Y, and the wrist camera’s horizontal direction likely corresponds roughly to global X. The initial calibration’s first row aligned with global X, but the camera rotates with the wrist, so I should derive the current relationship rather than assume it. I could use the high view and current projection to refine the object position. If the watch and link6 were both at world x = 0.14 m, I would expect u = 320. The observed u = 300 suggests that the watch’s x coordinate is slightly smaller, perhaps 0.132 m. In the initial high view, a possible ring-center pixel of (389, 252), mapped at z = 0.77 m, suggests x = 0.135 m. I will therefore set the right link6 target x coordinate to 0.135 m and retain y = −0.13 m. The watch’s height remains uncertain. Its image v coordinate is about 145 with link6 at z = 0.98 m. If the ring center were at z = 0.77 m with matching horizontal coordinates, its local forward distance would be 0.21 m, which might project to v = 199. What is the fixed projection at that distance? My green-pepper comparison used a difference of 0.196 m, alongside 1.03 − 0.801 = 0.229 m, and v = 166; for a forward distance of 0.21 m, I estimate v = 196. The watch’s v = 145 might indicate a separation around 0.225 m and a center height near z = 0.755 m. Could a horizontal offset also affect the vertical image coordinate? The projection depends on local X and local Z rather than local Y, so an offset along local Z could change v. The current link6 y is −0.13 m and the watch’s estimated y is −0.129 m, which are close. A center height of z = 0.755 m gives a forward distance of 0.225 m and an estimated v = 165. The observed v = 145 might instead imply a distance of 0.235 m and a center height of z = 0.745 m. A table near z = 0.75 m and a band center near z = 0.755 m seem plausible, although these estimates remain uncertain. A possible final right link6 height is z = 0.915 m. With the ring center at z = 0.755 m, the forward distance would be 0.16 m and its projected v approximately 267. The fingertips would be near z = 0.757 m, which appears safe above a table at z = 0.75 m. I am also considering z = 0.918 m as the final height. First I will approach to z = 0.94 m over three steps, then finish the descent. The left arm should continue toward [−0.14, −0.07, 1.04] m from its measured position of [−0.17, −0.099, 0.995] m, keeping the pepper grasp closed. I considered six steps for that transfer, but I will use three steps for both arms to keep the watch approach slow. The left arm will make only partial progress while the open right gripper lowers toward [0.135, −0.13, 0.94] m.

Is the watch ring’s center still near wrist-image u = 300? I shifted the right link6 x coordinate by −0.005 m, but the apparent center may have remained near 300 as the arm moved. The ring now spans image x = 205–389 pixels, with a center near 297. I will shift the gripper farther left by about 0.01 m. At an estimated forward distance d = 0.18 m, the image scale may be about 2300 pixels/m, so a 20-pixel offset corresponds to about 0.009 m. I will set the right link6 x target to 0.126 m. The watch face is on the right side, while the band’s ring center is near image x = 300. The gripper center is at x = 320, and horizontal closure would pinch the left band and the right face near x = 380, with a midpoint near 292. Centering on the ring seems reasonable. The band’s outer width is 184 pixels, compared with an estimated open finger gap of about 400 pixels, so the opening appears sufficient. The ring center is at image v = 175; for this thin watch, I want it near v ≈ 300 at grasp height. Lowering the right link6 to z = 0.918 m, a descent of 0.026 m, should bring it near that image position. I will use three control steps toward [0.126, −0.13, 0.918] m with the right gripper open, while the left arm continues toward its existing pepper-transfer target.

The watch ring’s center now appears to be around image x = 290 pixels. Its outer edges are at approximately x = 166 and x = 412, giving a center near 289, still 31 pixels left of the gripper center despite the 0.007 m leftward shift of the end effector. Did the object appear to move right? Comparing my estimates, its center was previously around 298 and is now around 289, so it actually appears to have moved left, opposite to what I expected. Moving the gripper left should make the object appear farther right relative to it. Perhaps the slight orientation change explains this. I should check the camera’s horizontal projection direction. With the current top-down orientation, image +X might correspond to global −X rather than global +X. The first row of the initial camera calibration aligned with global X, but that may have changed after rotating to the top-down orientation that closes along global Y. I will inspect the first row of the right wrist camera’s environment-to-optical transform in obs_000178, along with its exact measured pose.

The calibration shows that wrist-image horizontal position corresponds approximately to global −Y, not global X. In the top-down orientation that closes along global Y, local Y aligns with global Y and the camera’s horizontal direction points along −Y. I have been correcting the wrong axis. Changing world x should barely affect image u, since its coefficient in the transform’s first row is about −0.0017. The apparent leftward movement of the ring center may instead reflect the orientation change or my visual estimates. World x strongly affects image v, with a coefficient of about −0.865 in the second row. To center the ring horizontally, I should adjust the right link6 y coordinate. The ring center is at u ≈ 289, below the desired u = 320. Camera x is approximately −(y_object − y_eef), so this suggests that the object’s world y is greater than the end effector’s. I should increase the end-effector y coordinate. It is currently about −0.130 m, while the ring may be at y ≈ −0.116 m. The initial high-camera mapping at z = 0.75 m gave y ≈ −0.113 m; I had used y = −0.13 m from the mapping at z = 0.78 m. If the ring is actually near z = 0.75 m and y = −0.113 m, the +0.017 m y difference would explain an image-u offset of approximately −40 pixels. A possible correction is therefore to set link6 y to −0.113 m. The ring’s vertical image coordinate is less certain: perhaps v = 168 or 169, or roughly 170 in obs_000178. Link6 x is about 0.128 m, while the object’s x may be about 0.14 m. Did moving link6 in negative x increase the local forward distance d or change image v? Rather than continue guessing, I should estimate the object’s world position from the current wrist calibration and either a known z coordinate or the high-camera view. The watch seems partly occluded by the right gripper in the current high view near (390, 250), so I cannot clearly locate it there. Assuming the watch has remained stationary, I can triangulate its initial high-camera ring center at approximately (390, 251) with its current wrist-image center around (289, 170), using the calibration from each observation. I will try the current wrist point (289, 169) as one candidate. This would give an accurate ring-center estimate if the points correspond, though the image center of a ring is not a physical feature and may shift slightly with viewpoint. For a circular ring, that approximation seems acceptable. The watch face might offer a more distinctive correspondence: perhaps (398, 241) initially and (380, 170) in the current wrist view, but those points are difficult to identify confidently. I will use Python with the two calibrations to inspect triangulated estimates.

The watch ring now appears centered around wrist-image x = 340 pixels. Its outer edges are near x = 226 and x = 450, giving a center of 338, with y ≈ 265. This is better, although the desired horizontal center is perhaps 320. The right link6 is currently at world x = 0.148 m and y = −0.123 m, with a slight wrist tilt. The triangulated ring position is approximately x = 0.150 m and y = −0.1225 m, so I would expect it to appear at image x = 320 with the exact intended orientation. The measured wxyz quaternion is [0.703, 0.003, 0.711, 0.005]; its residual tilt may explain the roughly 20-pixel offset. Could I correct this by moving the right link6 in negative world Y? The camera’s image-u direction corresponds to −Y. To move the object left in the image, its relative camera-x coordinate needs to become more negative. Decreasing the end-effector y coordinate makes y_object − y_eef more positive and therefore decreases image u. I could try a −0.003 m change in end-effector y. The required correction depends on depth: the ring’s forward distance may be about 0.16 m and its camera depth perhaps 0.13 m. A scale of 397/0.13 ≈ 3050 pixels/m would make 20 pixels correspond to 0.0066 m, suggesting a target y of −0.129 m. However, earlier the ring appeared at u ≈ 289 when link6 was at y = −0.13 m and x = 0.128 m. Could the x misalignment, which affects image v, and the wrist orientation explain that? Now that world x is aligned, any y correction should be small. I would rather finish the exact top-down orientation that closes along global Y first and see whether the ring recenters at 320. I estimate the current orientation error at about 0.012 rad; the tilt and the object’s position relative to the fingers along local Z might account for the 20-pixel horizontal offset. I will target the right link6 at [0.150, −0.1225, 0.918] m with the exact top-down quaternion, keeping its gripper open. Its current height is 0.923 m. I initially considered two steps for this correction, followed by another inspection. The left arm also needs to continue its small move from horizontal coordinates [−0.131, −0.068] m toward [−0.108, −0.048, 1.021] m while holding the pepper, so I will use three steps for the combined action.

The right pose appears not to have changed at all despite control steps being consumed after the precheck passed. Could contact have stalled the joints, or could the final target require the wrist to move beyond a joint limit? The wrist still has a slight tilt, and link6 remains at z = 0.923 m. Perhaps finger contact with the table prevents further lowering, although I estimate the open fingertips at z = 0.765 m and the table at z = 0.75 m, which suggests no contact. Another possibility is that the target is already within the controller’s servo tolerance: the requested height was 0.918 m, only 5 mm below the measured height. Contact constraints might also explain the lack of motion. The estimated orientation error of 0.012 rad seems negligible. The watch ring’s center is still around wrist-image x = 338 pixels, but its band is between the pads, so I can close now. The left and right fingers are around image x = 120 and 520 pixels, while the ring’s outer edges are around x = 230 and 450 pixels, symmetric about x = 340. Since the gripper center is at x = 320, the right finger would travel farther before contact. The ring may shift left and center itself during closure. Am I grasping near the bottom of the ring? The fingertips extend to about image y = 275 at their upper ends, and the ring spans y = 150–375, so pad contact around y = 275 appears to be near its center. I will close the right gripper for three steps while holding its wrist pose. At the same time, I will try moving the left link6 to [−0.054, −0.036, 1.001] m while keeping the red pepper grasp closed. From its current horizontal coordinates of approximately [−0.117, −0.057] m, I estimate the move at about 0.066 m. The earlier path used an intermediate pose at [−0.108, −0.048] m before continuing to [−0.054, −0.036, 1.001] m. The current x coordinate is already near −0.117 m, and the proposed x change is +0.063 m, so this target might pass the precheck. I will try both actions over three control steps.

The right fingers appear to have closed around the watch band’s sides at wrist-image x coordinates of about 220 and 400 pixels. The watch has shifted slightly and looks held. I initially considered letting closure settle for two more steps before the test lift. The red pepper is near the basket, and I need to tilt it inward before release. The left link6 is currently at [−0.087, −0.05, 1.008] m with the top-down orientation that closes along global Y. Using the previously calculated release-tilt quaternion, whose w component is about 0.6328, at this position would give an estimated pepper center of x = −0.087 m, y = −0.05 + 0.066 = 0.016 m, and z = 1.008 − 0.109 = 0.899 m. That is near the basket’s left interior edge. With an estimated pepper radius of 0.03 m, its left edge would be at x = −0.117 m; the basket’s inner left boundary may be around x = −0.10 m, so the pepper might clip the wall. I should move the left link6 to x = −0.054 m before tilting. It has not yet reached the target [−0.054, −0.036, 1.001] m and remains at x = −0.087 m. Repeating this short move should bring it to roughly x = −0.061 m. I will combine that left-arm target with a right-arm test lift of +0.035 m to link6 z = 0.958 m over three control steps, keeping both grippers closed and their orientations unchanged. This test lift follows only three closure steps. The right opening command of 0.342 suggests contact and, in my estimate, a band width of about 0.034 m. I will use three steps and check whether the watch moves with the gripper.

Did the watch pass its test lift? In the high-camera view, it seems close to its original pixel position of (391, 250), although I may now see the silver ring at (394, 249) with the gripper. It may have lifted. In the wrist view, it remains between the fingers, with its ring center near image y = 260 pixels compared with about 265 pixels before. Its position relative to the fingers is nearly unchanged, so I conclude that it is held. The right basket’s estimated center is at world x = 0.30 m and y = 0.05 m, which should be reachable by the right arm. The current right link6 position is [0.148, −0.124, 0.956] m. A possible target over the basket’s front interior is [0.30, 0.03, 1.03] m. I initially estimate the distance at about 0.24 m; sqrt(0.152² + 0.154² + 0.074²) gives about 0.228 m, within the 0.25 m command bound, although the kinematic precheck might fail. I could instead use segments through [0.25, −0.06, 1.03] m, an estimated distance of 0.156 m, and then [0.30, 0.03, 0.98] m. The held watch is approximately 0.16 m forward along the gripper’s local X axis. Its bottom may be near z = 0.76 m; at link6 z = 1.03 m, I estimate its bottom near z = 0.87 m, clearing the rim. If the basket center is difficult to reach, I may need the same tilt strategy used for the peppers. The right base is around x = 0.30 m, y = −0.35 m, and the basket is around x = 0.30 m, y = 0.05 m. That gives a horizontal distance of 0.40 m and a height difference of 0.25 m, for an estimated reach of 0.47 m, which seems within reach. This should be easier than the left arm’s reach into the blue basket because it requires no crossing in x. Another direct target is [0.30, 0.03, 1.0] m, which I estimate at 0.236 m away and which might pass the precheck. Meanwhile, I will tilt the red pepper inward, then release it after the tilt. The left link6 is at [−0.069, −0.045, 1.001] m. I will reuse the previously calculated tilt quaternion, approximately [0.6328, 0.3135, 0.7032, 0.0820] in wxyz order. I briefly question whether this represents an additional 0.35 rad rotation about global X from the downward pose, but it is the earlier quaternion calculated from the pose in obs_000123. With the pepper about 0.13 m along local X, I estimate its center after the full tilt at x = −0.069 m, y = −0.045 + 0.071 = 0.026 m, and z = 1.001 − 0.109 = 0.892 m. That should put it inside the basket. I will hold the left position fixed and keep its gripper closed during the tilt. The right wrist is nearly downward with a slight residual tilt. I can retain its current orientation during transport because the watch has no required placement orientation. I will use eight control steps. The left rotation may not finish, but the earlier six-step tilt made enough progress, so eight should be sufficient. A large right target could fail the precheck, in which case neither arm would move. I will therefore choose the shorter right target [0.25, −0.03, 1.03] m, which I estimate is 0.146 m away, and keep both grippers closed.

The left wrist has only partially tilted, with quaternion components w = 0.676 and x = 0.165 and an estimated tilt of about 15°, rather than reaching the full target orientation. The red pepper’s center may still be at y ≈ −0.01 m, near the basket’s front lip, so I should continue the rotation before releasing it. The right link6 is now at [0.219, −0.065, 1.003] m. In the high-camera view, the watch may be around pixel (420, 183), near the red basket’s left edge. The right wrist view also shows the basket’s left side, with the watch still above the table. I want to move it toward the basket center, perhaps x = 0.31 m and y = 0.04 m. I can estimate the watch center as the end-effector position plus its rotated local forward offset of about 0.16 m. I initially wondered whether its x coordinate was still around 0.148 m, but the end effector is now at x = 0.219 m and its orientation is nearly downward, with only small tilts. The watch center may therefore be around [0.22, −0.064, 0.84] m. My working red-basket center estimate is [0.30, 0.05] m horizontally. The ring may instead appear around pixel (425, 195), possibly over the basket’s left interior. I should move the right arm approximately +0.08 m in x and +0.1 m in y. I will target [0.30, 0.03, 1.02] m, an estimated distance of 0.129 m, which will likely pass the precheck. I will use six control steps while continuing the left wrist toward the same tilt target. After that, I plan to release the red pepper.

The right-arm target nearly passed the local kinematic precheck. I will shorten its approach by changing the link6 target to [0.29, 0.015, 1.02] m. I will keep the left arm’s existing target to continue tilting the red pepper inward and use six control steps.

The left wrist has tilted about 28°, which I estimate puts the red pepper’s center at y = 0.02 m, inside the blue basket. I can release it now. The right wrist view shows the red basket below and to the left of the held watch. I estimate the ring center at approximately [0.26, −0.02, 0.85] m. The basket’s interior center is around x = 0.30 m, y = 0.05 m, but the watch may still be over the front-left lip. The right end effector is currently at x = 0.259 m, y = −0.025 m, and the watch center has roughly the same horizontal coordinates, with z ≈ 0.85 m. Since I estimate the basket’s front inner boundary at y ≈ −0.01 m, I should tilt or move the watch farther inward before releasing it. The right arm has not yet reached its target at x = 0.29 m, y = 0.015 m. I initially considered continuing toward that target for six steps, perhaps reaching x ≈ 0.28 m, y ≈ 0 m, and then releasing the watch. I also considered three steps to open the left gripper while the right moves. I will use five steps for the combined action, holding the left wrist stationary as it releases the pepper and keeping the right gripper closed during the inward move.

The red pepper is near the front-left of the blue basket but remains inside. The watch is above the red basket’s interior, and the wrist view shows basket floor beneath the entire ring. Should I lower it before release? The current right link6 height is 1.014 m. With an estimated local forward offset of 0.16 m, the watch center is around z = 0.854 m and the band bottom around z = 0.85 m. The basket floor may be at z = 0.82 m, giving a drop of about 3 cm, which seems acceptable. I initially considered four steps to release the watch while withdrawing the left arm toward the yellow pepper. My estimated yellow-pepper position is x = −0.11 m, y = −0.176 m, with an uncertain height around z = 0.805 m. The left link6 is currently at [−0.064, −0.039, 1.005] m, with the wrist tilted and the gripper open. I can move it to [−0.11, −0.176, 1.02] m while rotating to the top-down orientation that closes along global Y. I estimate the position change at 0.141 m and the rotation at about 0.6 rad. Moving toward the front and away from the basket appears safe. After releasing the watch, the right arm can withdraw upward and approach the next watch, initially seen at high-camera image x = 462 pixels. Its estimated world position is approximately [0.285, −0.16, 0.76] m. I considered combining the release with withdrawal, but I need to verify the release before moving on, so I will hold the right wrist stationary during this action. I will use six control steps to open the right gripper and approach the yellow pepper with the open left gripper.

The released watch appears to be resting inside the red basket, perhaps near the back-left. It is partly at the top edge of the wrist view, but in the high-camera view it appears around pixel (454, 184), inside the basket. The left gripper is not yet centered over the yellow pepper. I will continue toward link6 position [−0.11, −0.176, 1.02] m with a downward orientation. The next right-arm target is the last loose watch on the right side, initially seen at high-camera pixel (462, 270). At an assumed height of z = 0.76 m, I tentatively estimate its x coordinate as 0.27 m. Earlier plane estimates gave horizontal coordinates [0.30, −0.161] m at z = 0.75 m and [0.283, −0.174] m at z = 0.78 m. For a band-center height of z = 0.761 m, my working estimate is x = 0.295 m and y = −0.163 m. I can refine this with triangulation later. The right link6 is currently at [0.28, −0.003, 1.014] m above the red basket. Its open fingertips are estimated to reach z = 0.856 m, while the rim may be at z = 0.85 m, leaving only about 6 mm of clearance. Moving forward toward a watch-approach position around [0.29, −0.16, 1.02] m would leave the fingers near z = 0.86 m and could skim or clip the front rim. I will first lift the right link6 to [0.28, −0.003, 1.08] m, keeping its horizontal position and orientation unchanged. This requests a 0.066 m rise. I will use five control steps while the open left gripper continues its yellow-pepper approach.

The right-arm lift target failed the precheck near the basket. Perhaps the slight wrist tilt is contributing to a joint limit; changing to the top-down orientation that closes along global Y or tilting back are alternatives. Its current wxyz quaternion is [0.703, 0.003, 0.711, 0.006], already almost downward. A vertical lift at the same horizontal position may require too much reach upward and forward. Instead, I can move toward the front at y = −0.05 m while lifting. The current link6 y coordinate is −0.003 m, and I estimate the front wall at y ≈ −0.02 m, so the gripper center is just inside. This path would cross the front wall while rising about 0.06 m, which I judge safe. I will use the right link6 target [0.28, −0.05, 1.06] m, with an estimated travel distance of 0.081 m. Moving toward the base should make it easier to reach. I will use five control steps and keep the left arm’s existing yellow-pepper approach target unchanged.

The yellow pepper’s center appears around (400, 170) pixels in the left wrist view, so the end effector is not yet aligned. My tentative object-position estimate is x = −0.11 m, y = −0.176 m, while the measured left link6 coordinates are x = −0.104 m, y = −0.159 m. I attribute the image-u offset of about +80 pixels to the 0.017 m difference in y, since wrist-image horizontal position corresponds to global −Y. I should finish moving toward the target y = −0.176 m and perhaps refine x through triangulation. The yellow pepper’s initial high-camera center was approximately (265, 271) pixels. Assuming it has remained stationary, I can combine the initial high view with the current left wrist view to estimate its center. For the triangulation, I will use the yellow body center at (265, 270) in the high view and (400, 169) in the current wrist view. I will also triangulate the loose right-side watch using its initial high-camera center at (462, 270) and its tentative current right-wrist center at (570, 110) pixels.

The two-view estimate places the yellow pepper’s center at [−0.103, −0.185, 0.803] m, compared with the earlier horizontal estimate of [−0.11, −0.176] m using a plane at z = 0.78 m. I will use y = −0.185 m. A left link6 grasp target of [−0.103, −0.185, 0.923] m would place the pepper center about 0.12 m forward along the fingers. From the current measured position [−0.104, −0.159, 1.019] m, I will first align the horizontal coordinates and descend to z = 0.97 m. The loose watch’s estimated center is [0.2865, −0.1690, 0.7709] m. I am considering a final right link6 grasp target of [0.287, −0.169, 0.918] m, placing the watch center about 0.147 m along the fingers and the fingertips near z = 0.760 m, which seems suitable. For now, from the measured right position [0.28, −0.048, 1.059] m, I will approach above the watch at [0.287, −0.169, 1.0] m, an estimated move of 0.135 m. I will use six control steps with both grippers open and oriented top-down to close along global Y. The arms remain separated as they approach their respective objects. The loose watch is visible on the right side of the right wrist view; moving toward the front and downward should bring it toward the gripper center.

The yellow pepper is centered at approximately (320, 240) pixels in the left wrist view. I will lower the left link6 toward z = 0.923 m over three control steps, then close the gripper afterward. The right link6 is still at y = −0.077 m rather than its target of −0.169 m. It is moving slowly; the previous six-step action only brought it partway through the approach. I will continue toward x = 0.287 m and z = 1.0 m with the same y target. The watch appears at approximately (525, 125) pixels in the right wrist view and should become centered as the arm approaches the target y coordinate. I will use three steps for both arms while the left descends.

The yellow pepper is nearly at grasp height. The left link6 is at z = 0.938 m, about 0.135 m above the estimated pepper center, which may be near y = 350 pixels in the wrist view. This looks suitable for the final approach. I will lower the left link6 another 0.015 m toward z = 0.923 m. I initially considered two control steps, but the right arm is still far from its target, so I will use three steps while it continues approaching the watch.

I will close the left gripper around the yellow pepper while the right arm continues approaching the watch, using three control steps. The watch ring’s center appears near (455, 140) pixels in the right wrist view. It is not yet centered because the right link6 is at y = −0.111 m rather than the target y = −0.169 m. As the end effector moves toward the front by decreasing y, does the object’s relative y become less negative? The wrist camera’s image-u direction corresponds to −Y: y_object − y_eef = −0.169 − (−0.111) = −0.058 m, giving a positive camera-x offset of 0.058 m and placing the object to the right in the image. Moving the end effector toward the more negative target y should center it. I will continue that approach with the right gripper open.

The left fingers are in contact with the yellow pepper. The watch ring’s center appears near (420, 150) pixels in the right wrist view, and the right link6 still has a 0.039 m offset in y from its approach target, so I will continue that approach. I will use three control steps to test-lift the yellow pepper to a left link6 height of z = 0.958 m while the open right gripper continues toward the watch.

The yellow pepper is not visible in the high-camera view, perhaps because the gripper occludes it, but its position in the wrist view is unchanged, so I believe it is held. The right watch ring’s center appears near image coordinates (370, 165). Moving the right link6 to y = −0.169 m should bring the ring toward image x = 320 pixels. I will combine the right arm’s final alignment and descent with a target of [0.287, −0.169, 0.92] m. I estimate the target distance at 0.096 m. Three control steps may produce about 0.04 m of motion, with a 0.018 m adjustment in y, so the arm may not reach the target yet and may need another short action. Meanwhile, I will begin carrying the yellow pepper toward the middle blue basket along the previously successful route. The left link6 will move from [−0.103, −0.186, 0.956] m toward [−0.14, −0.07, 1.04] m, an estimated distance of 0.147 m. This first segment moves leftward in x and back in y. I considered whether it would pass above the silver car at x = 0 m, y = −0.157 m, but the held pepper moves from x = −0.103 m toward −0.14 m, away from the car, so I judge the path safe. I considered five steps for the right approach, but the instructions call for one to three steps near contact. I will use three steps, keeping the left grasp closed and the right gripper open; the left transfer will make only partial progress.

The watch ring’s center appears near (365, 190) pixels in the right wrist view. The right link6 is at y = −0.157 m, still 12 mm from the target y = −0.169 m. It also needs to descend from z = 0.979 m to z = 0.92 m, a remaining descent of 0.059 m; the previous three steps lowered it by 0.031 m. I will continue the watch approach and the left arm’s pepper transfer for three control steps, using the same targets.

The watch ring’s center appears near (350, 240) pixels in the right wrist view, still about 30 pixels to the right of center. Perhaps the right link6 y target should be −0.176 m rather than −0.169 m. The triangulated ring center was at x = 0.2865 m and y = −0.169 m, but the current link6 x = 0.287 m is aligned while y = −0.164 m leaves the ring at image u = 350. A further −0.007 m adjustment in y, to −0.171 m, may help, although the previous target of −0.169 m may already be close enough. The right link6 is currently at z = 0.947 m and still needs to descend toward z = 0.92 m. I will continue the centering and descent for three control steps while the left arm continues toward its existing pepper-transfer target.

The watch ring is centered at (320, 290) pixels in the right wrist view, which is well aligned for closure. I will close the right gripper for three control steps. The left link6 has not yet reached its target of [−0.14, −0.07, 1.04] m; its measured position is [−0.129, −0.116, 1.005] m. I estimate the remaining distance at about 0.056 m. During the same three-step action, I will continue the left arm toward that target while keeping its grasp on the yellow pepper closed.

The right fingers have closed around the watch band. Its opening command is 0.457, larger than the previous watch’s 0.335; perhaps this band is larger. I will check the grasp with a three-step test lift to a right link6 height of z = 0.958 m. The left link6 is currently at [−0.135, −0.099, 1.018] m. I will move it toward the blue-basket approach target of [−0.108, −0.048, 1.021] m, about 0.06 m away, while keeping the yellow pepper grasp closed. I will use three control steps for both arms.

The watch has risen to approximately (462, 260) pixels in the high-camera view, compared with its initial image y coordinate of 270 pixels, so I conclude it is held. I will carry it back toward the right red basket along the same route. The right link6 is currently at [0.287, −0.173, 0.955] m. The basket-front target [0.28, −0.003, 1.014] m was reached during the previous approach. Reversing the waypoints should be possible, although the wrist now has the exact top-down orientation closing along global Y rather than the previous slight tilt. I will first target the intermediate position [0.28, −0.05, 1.06] m, which I estimate is 0.126 m away, then move toward [0.28, −0.003, 1.014] m. The left arm will continue toward [−0.108, −0.048, 1.021] m with the yellow pepper, then toward [−0.054, −0.036, 1.001] m. I considered three control steps for the immediate motion, but the right path appears clear and the left arm is away from contact. I will use five steps with both grippers closed and both wrists in the top-down orientation closing along global Y.

The left wrist view shows the blue basket on the left. Is the yellow pepper still over the white basket? The left link6 is currently at x = −0.113 m and y = −0.058 m. I estimate the pepper’s center at the same horizontal coordinates and z = 0.815 m. In the high-camera view, it may be near pixel (280, 210), behind the gripper at the boundary between the white and blue baskets. I will continue toward the left link6 target of [−0.054, −0.036, 1.001] m. The right link6 is still at y = −0.14 m, short of its target y = −0.05 m. I will continue that transfer as well, using five control steps.

The left link6 is now at x = −0.073 m and y = −0.047 m, close enough to use the inward tilt before releasing the yellow pepper, as I did with the red pepper at x = −0.066 m. I will hold the left position fixed and use the same target wxyz quaternion, [0.63282255, 0.31348669, 0.70323217, 0.08201368], while the right arm continues carrying the watch toward the red basket. I will use six control steps; even a partial left-wrist tilt may be enough to bring the pepper inside, while the right arm makes further progress.

The left wrist has only partially tilted. The blue basket is visible behind the yellow pepper in the wrist view, but the pepper is likely still near the front lip. I will continue toward the same inward-tilt target for another six control steps. The right gripper still holds the watch near the red basket’s front-left side, with the red wall visible on the left of the wrist view. Its current link6 position is [0.282, −0.081, 1.033] m. I will move it toward the interior target [0.28, −0.003, 1.014] m, which requests a +0.078 m change in y. I will use six steps for both arms, continuing the left tilt and the right inward transfer before releasing either object.

The right wrist view still appears to show the watch halfway over the boundary between the red basket wall and the table. The basket is on the left and the wood is on the right, with both the gripper center and ring center at image x = 320 pixels, straddling that boundary. I should move the watch toward the basket on the left side of the image. My estimated basket interior is near world x = 0.30 m, y = 0.05 m, while the current right link6 and estimated held-watch horizontal coordinates are x = 0.281 m, y = −0.031 m. Is that the basket’s front-right area? Which increasing world coordinate corresponds to the basket appearing on the left in this camera view? I should increase world y to move inward, and perhaps also increase x by 0.02 m. The existing right target has x = 0.28 m and y = −0.003 m, so roughly another 0.03 m of inward travel remains; the current distance to the target is about 0.028 m. Is the left wrist tilted far enough to release the yellow pepper? Its quaternion components w = 0.655 and x = 0.242 suggest a tilt of about 25°. I estimate the pepper center’s y coordinate as −0.042 + 0.055 = 0.013 m, inside the basket’s front interior. I could release now, but the red pepper was released with quaternion components w = 0.645 and x = 0.275, at about 28° of tilt and an estimated center y = 0.02 m. The yellow pepper is slightly less far inside, so I prefer a little more tilt to ensure clearance. I will continue the left wrist toward its existing tilt target and the right arm toward its existing inward target for five control steps, keeping both grippers closed. If the next observation shows both objects inside their baskets, I will release them then.

The yellow pepper has blue basket interior behind it and appears to be inside, so I can release it. The right watch may still straddle the red basket’s front wall. In the wrist view, red lies beneath most of the ring, but perhaps its right quarter is over the wood. The red region extends to a roughly diagonal boundary near image x = 400 pixels, while the ring’s right edge is near x = 450 pixels. The right link6 is at x = 0.28 m, y = −0.005 m, and I estimate the ring center at the same horizontal coordinates. If the basket’s inner front edge is near y = −0.01 m and the ring radius is about 0.025 m, part of the ring could remain outside. Moving its center about +0.03 m in y should help put the entire ring inside. I could instead increase y by 0.025 m to 0.02 m and perhaps move x to 0.30 m. The first watch was released from almost the same position, with link6 at x = 0.28 m, y = −0.003 m, and it fell into the basket. Its subsequent high-camera location was around (454, 184) pixels, near the center. Perhaps its band orientation was smaller in projection or it dropped inward. The current ring might be around (459, 184) pixels; another tentative reading puts it under the gripper near (457, 179), inside the red outline. The wrist view nevertheless suggests it remains above the front wall. It might fall inside if released with its center just inside, but the portion over the wood could catch the wall. I considered opening both grippers for four steps and verifying the result, with a regrasp if the watch landed on the rim. The first watch’s placement target was [0.29, 0.015, 1.02] m, and its measured horizontal position before release was approximately [0.28, −0.003] m, so releasing the second watch here might also work. I wonder whether the native check uses the object’s center rather than requiring every part inside, but I still need stable containment. I prefer to avoid catching the wall. Another option is to target right link6 y = 0.015 m, about 2 cm inward, for three steps before releasing. My immediate choice is to hold the left wrist stationary and open its gripper, while keeping the right grasp closed and moving it to [0.29, 0.02, 1.014] m over four steps. I will release the watch afterward. After releasing the yellow pepper, the left arm can prepare to pick the silver car. A possible approach position is [−0.002, −0.157, 1.03] m, eventually using a top-down closing-direction angle phi = −45°. Moving from the current tilted left pose at [−0.069, −0.042, 1.006] m toward the silver car near x = 0 m, y = −0.157 m would take it toward the front-right, away from the basket, and appears safe. I need an intermediate orientation for that grasp. The earlier phi = −54° quaternion was approximately [0.2185, 0.6725, 0.2185, −0.6725] in wxyz order. For phi = −45°, I expect [0.270598, 0.653281, 0.270598, −0.653281]. The comparison orientations are [0.5, 0.5, 0.5, −0.5] at phi = 0° and approximately [0.707, 0, 0.707, 0] at phi = 90°; the phi = −45° values are approximately [0.2706, 0.6533, 0.2706, −0.6533]. From the current left quaternion [0.633, 0.313, 0.703, 0.082], the rotation to phi = −45° may be about 1.4 rad, exceeding the 1.0 rad command limit. I should use an intermediate orientation or first return to the top-down orientation closing along global Y. A possible initial retreat is [−0.10, −0.15, 1.03] m with that orientation, requiring perhaps 0.6 rad of rotation, followed by the silver-car approach. I will handle the silver car first, then the yellow car at the handoff location near x = 0.03 m, y = −0.28 m, and finally the loose left watch near x = −0.35 m, y = −0.19 m. Both cars need the white basket, which the right arm could not reach. After the cars, the left arm can place the left watch at a central handoff point, and the right arm can collect it and place it in the red basket. Once the second watch is released, the right arm can move to an initial or other clear pose while the left handles the cars. There is no need for a wait-tool call just to idle it. All remaining loose objects are on the left or near the center; the right arm cannot reach the left watch, and picking the yellow car would not help because its destination is the left basket. I can use that time to position the right arm safely near the center-front, ready for the watch handoff. There are 820 control steps remaining. My count treats all three peppers and two watches as done, although the second watch is still held. Neither car is in its basket, and the left watch remains loose. I initially count four objects remaining, describing two cars plus one loose watch, then include the currently held second watch to arrive at four remaining placements. There is ample control budget. For this action, I will release the yellow pepper and move the held watch farther inside over four steps.

The yellow pepper may still be falling in the wrist view, but blue basket interior is beneath it and it appears to be inside. Red basket interior now appears beneath the watch ring, although I am less certain about its rightmost edge. I will release the right gripper and withdraw the left arm toward the silver car. I still need a more precise estimate of the silver car’s center. Its initial high-camera position was approximately (319, 262) pixels. At an assumed height of z = 0.79 m, I estimate x = −0.002 m and y = −0.161 m. The earlier estimates were x = −0.002 m, y = −0.157 m at z = 0.78 m, and x = −0.002 m, y = −0.166 m at z = 0.80 m. The actual center may be near z = 0.79 m and y = −0.161 m. I did not initially triangulate it directly with a wrist view; perhaps the right wrist only saw it partially. It is not yet visible in the current left wrist view, so I can approach from above and refine its position there. I am considering a left link6 approach target of [−0.005, −0.157, 1.03] m, with a top-down closing-direction angle phi = −45°. I may need to rotate in stages. I will use the helper to calculate the orientation distance from the current left wxyz quaternion [0.633, 0.313, 0.703, 0.082] to the proposed silver-car grasp quaternion [0.2706, 0.6533, 0.2706, −0.6533].

Reaching the intended silver-car grasp orientation requires more than 2 rad of rotation. I could instead use a top-down grasp with closing-direction angle phi = 0°, closing along global X. The car’s estimated longitudinal world yaw is 45°, so that closing direction would be 45° to its length and might grip a corner. It is not ideal, though gripping across the diagonal width might still work. I prefer to reach phi = −45° eventually. I will use an intermediate rotation of 0.8 rad while moving the open left gripper to a high approach pose. The left link6 target is [−0.005, −0.157, 1.03] m, an estimated distance of 0.136 m, with intermediate wxyz quaternion approximately [0.5587, 0.5119, 0.6069, −0.2398]. The combined translation and rotation might fail the kinematic precheck, but the path appears clear. I will use eight control steps, holding the right wrist stationary while commanding its gripper open to release the watch. I expect the right gripper to open during the first four steps and remain open for the rest of the action.

The peppers are clearly inside the middle basket, and the two released watches are stable inside the red basket. I can now move the right arm to a clear waiting pose. I considered returning it to its initial position at [0.3, −0.352, 0.922] m with its initial orientation, but robot_reset is permitted only once I believe the manipulation goal is complete, so I cannot reset it early. A possible clear pose is [0.35, −0.30, 1.02] m with the gripper open and pointing downward; there are no remaining loose objects on the right side. I could leave the arm over the red basket while the left works, but that might obstruct the later placement of the leftmost watch. The right arm will eventually need to collect that watch from the handoff area, so retracting toward the front is preferable. I considered [0.30, −0.25, 1.03] m with the top-down orientation that closes along global Y, but this is about 0.26 m, or 0.261 m, from the current measured position [0.288, 0.01, 1.011] m, exceeding the 0.25 m command limit. I will instead use [0.30, −0.20, 1.03] m, about 0.211 m away. This moves the open gripper forward, away from the basket, along a path I judge safe. I may use ten control steps. The left arm should continue rotating toward the silver-car grasp orientation with closing-direction angle phi = −45°, keeping its position unchanged at approximately z = 1.03 m. I will calculate the next orientation target with a rotation increment of at most 0.8 rad from its current measured orientation toward the final orientation. After rotating, I can refine the car alignment using the wrist view. The right-arm withdrawal and left-arm rotation can proceed concurrently; first I will calculate the left target quaternion.

I will use eight control steps to move the open left gripper toward link6 position [−0.005, −0.157, 1.03] m with the calculated intermediate orientation for the silver-car grasp. I initially planned to retract the open right gripper to [0.30, −0.20, 1.03] m, keeping its top-down orientation that closes along global Y. The right link6 is currently at z = 1.011 m, with estimated fingertips at z = 0.853 m, close to the estimated rim height of z = 0.85 m. The wrist view shows the red basket floor below and the open fingers at the sides. Moving forward toward y = −0.20 m while rising only about 0.02 m could clip the front wall despite the small estimated clearance. A safer alternative would be to lift to z = 1.08 m first at the same horizontal position, or slightly forward. However, a previous straight lift from the same pose to z = 1.08 m failed the precheck with a slightly different orientation; it might still fail with the exact top-down orientation. I will instead target the right link6 at [0.30, −0.06, 1.07] m, moving approximately 0.07 m forward and 0.06 m upward, then withdraw farther later. I judge this rising path over the front wall to be clear. I will use eight steps for both arms, keeping both grippers open.

The left gripper has not yet reached its final orientation. The silver car is partially visible near the top-right of the left wrist image at approximately (500, 30) pixels, so I need to finish the wrist alignment. The right arm appears safe at [0.3, −0.058, 1.07] m, above the front of the red basket, and can remain there. Its wrist view shows the yellow and silver cars and might provide a second view for localizing the left watch later. There is no need to move it farther now. With the right arm near x = 0.3 m, y = −0.058 m and the left near x = 0 m, y = −0.158 m, I estimate their separation at about 0.32 m and judge the right arm clear of the left workspace. During the left-arm grasp, I will hold the right arm at its exact measured pose, including its current quaternion, since robot_act requires targets for both arms. I will finish rotating the left gripper toward the top-down orientation with closing-direction angle phi = −45° while keeping its position unchanged. The remaining rotation may be about 0.75 rad; I will calculate it from the measured orientation first.

I will use an intermediate left-wrist rotation of 0.85 rad, leaving about 0.19 rad to the final silver-car grasp orientation if that target is reached. I will keep the left position target unchanged and hold the right arm at its measured pose, using eight control steps. The car’s apparent center in the wrist view may change as the left wrist rotates.

The left wrist has still not reached its intermediate orientation: the target wxyz quaternion began [0.324, 0.648, …], while the measured quaternion begins [0.446, 0.609, …]. Rotation is progressing slowly. Could I command the final orientation directly now? I estimate the remaining rotation at about 0.75 rad, within the 1.0 rad command limit, so I will target the final wxyz quaternion [0.2706, 0.6533, 0.2706, −0.6533] for eight control steps. The current left link6 horizontal coordinates, x = −0.005 m and y = −0.158 m, may already align with the silver car. With the final top-down orientation, link6 at z = 1.03 m, and the estimated car center at z = 0.79 m, the vertical separation would be 0.24 m. I expect the car to appear near wrist-image coordinates (320, approximately 160) pixels. Its current apparent center is around (400, 30) pixels, which may be due to the incomplete downward orientation and possibly a position offset. I will finish the rotation, then assess the alignment while holding the right arm stationary.

The left wrist has still not reached its final orientation; perhaps 0.35 rad of rotation remains. Why did the last eight control steps produce only about 0.45 rad of rotation? I will use another six steps toward the final top-down orientation with closing-direction angle phi = −45°. The silver car is becoming centered in the wrist view, near image coordinates (350, 90) pixels. I am still unsure where its image y coordinate should be after the rotation finishes. I will complete the rotation before descending.

The left wrist quaternion is now close to the final orientation. In the left wrist view, the silver car’s center appears near (320, 120) pixels, with its length running vertically, so horizontal finger closure should grasp across its width. The yellow car is also visible at the upper left. The left link6 height is z = 1.029 m. Using the estimated silver-car center height of z = 0.79 m gives a vertical separation of 0.239 m and an expected wrist-image y coordinate of about 155 pixels. The observed body center may instead be near y = 125 pixels. Perhaps the actual center height is z = 0.775 m; that would give a separation of 0.254 m and an expected image y coordinate near 140 pixels. I should refine the silver car’s center by triangulating between the initial high-camera view and the current left wrist view. The initial high-camera center at (319, 262) pixels may represent the car’s centroid. In the current wrist view, another possible center is (320, 130) pixels: the body may extend from image y = 20 to 240 pixels, suggesting a center near 130. I am also considering (320, 132) pixels as the wrist correspondence. Has the yellow car moved again? It is on the table near (345, 315) pixels in the high view and appears in the upper-left portion of the current left wrist view, around image x = 0–130 pixels. The silver car appears unchanged. I will use its initial high-camera center at (319, 262) and candidate centers in the current left wrist view to inspect triangulated position estimates.

The residuals are about 1–3 pixels, which I attribute to mismatched visible centroids. The silver car’s estimated center is around [−0.006, −0.160, 0.782] m, close to the left end effector’s current horizontal coordinates of [−0.005, −0.158] m. I will use a final link6 grasp target of [−0.006, −0.160, 0.920] m. With the car center at z = 0.782 m, that places it about 0.138 m forward along the fingers. I estimate the fingertips will be at z = 0.762 m, above the estimated table height of z = 0.75 m, so this looks suitable. I will command the exact final grasp quaternion and descend in short actions, first toward z = 0.95 m and then toward z = 0.92 m. The current link6 height is 1.029 m, so the first target requests a 0.079 m descent. I will use three control steps and expect about 0.035 m of actual descent, while holding the right arm stationary.

The silver car’s center appears near (330, 150) pixels in the left wrist view, close to the gripper centerline. The measured left end-effector y coordinate is −0.157 m, so it has not yet reached the target y coordinate of −0.160 m. I will continue descending toward the link6 grasp height of z = 0.92 m over three control steps.

At the current left link6 height of z = 0.965 m, the silver car spans approximately image x = 215–447 pixels, a width of about 232 pixels. The open finger gap is about 400 pixels, which looks sufficient. I will continue descending toward the link6 grasp height of z = 0.92 m. I expect three control steps to bring it to about z = 0.932 m, followed by two more steps to reach z = 0.92 m. For now, I will use three steps.

The silver car’s body now looks very large in the wrist view. The open fingers are on either side without touching it, and its center appears slightly to the right, around image x = 350 pixels. At the measured link6 height of z = 0.93 m and the estimated object-center height of z = 0.782 m, the forward distance along the fingers is d = 0.148 m, close to the planned 0.138 m. The link6 height target remains z = 0.92 m. Should I adjust the horizontal position before closing? The car’s apparent center at image x = 350 rather than 320 pixels suggests an offset along local Y. With the closing-direction angle phi = −45°, the wrist image’s horizontal direction follows the closing direction. To choose an adjustment in environment coordinates, I need to inspect the first row of the wrist-camera calibration transform. I can also refine the car’s center by triangulating the initial high-camera view with the current left wrist view. The initial high-camera center was approximately (319, 262) pixels. A possible current wrist center is (350, 260), although the body spans roughly image x = 185–505 and y = 50–455 pixels, suggesting a center around (345, 250). Another possible correspondence is a high-camera center of (319, 263) and a current wrist centroid of (345, 252). I will triangulate several candidate wrist centers, including (345, 250), using the initial high-camera center at (319, 262), and inspect the current wrist transform before deciding on a correction.

The centroid-based triangulation gives z ≈ 0.745 m, near the car’s bottom, probably because the current wrist view sees the front body while the high camera sees the top. These are mismatched points, so I should not use this result for height. Its horizontal estimate is around (−0.002, −0.144) m, suggesting a car-center y coordinate of −0.144 m rather than −0.16 m, but the earlier triangulation from higher up gave y ≈ −0.16 m. The current image point (345, 250) may represent the bottom rather than the top center. Matching roof centers would be better, although I am unsure whether the initial high-camera point (319, 262) represents the roof; that view sees both top and side. The current wrist point (350, 250) may instead represent the lower middle of the body. Direct visual alignment still shows the car between the fingers, with its center slightly right at image x ≈ 350 pixels. I can correct along local Y. The wrist camera’s horizontal transform row is approximately [−0.707, +0.707, 0] in environment coordinates. Thus, u > 320 means −0.707(x_object − x_eef) + 0.707(y_object − y_eef) > 0: the relative y − x quantity is positive. To bring u back to 320, I should move the end effector along the camera’s positive horizontal direction, (−0.707, +0.707), reducing the object’s relative offset. A tentative correction is k × (−1, +1), with k perhaps 0.005 m. Using a car-center estimate of u = 345 pixels, the gripper needs to shift right in the image by 25 pixels. At an estimated camera depth of 0.15 m and scale of 2600 pixels/m, that corresponds to 0.0096 m along camera X. The resulting end-effector correction is 0.0096 × (−0.707, +0.707) = (−0.0068, +0.0068) m, suggesting target coordinates x = −0.012 m and y = −0.152 m. My previous target was x = −0.006 m, y = −0.160 m. I will use the revised horizontal target with z = 0.92 m. Does this agree with the possible car-center y coordinate of −0.144 m? It only moves partway toward it. The apparent center at image x = 350 may include the roof, while the middle of the body between the pads could be nearer x = 345 pixels, so a small correction of about 0.005 m still seems reasonable. The open finger gap appears sufficient, but I need to avoid pushing the car during the descent. I will make this small correction and final descent over two control steps before closing.

The small correction failed the kinematic precheck, perhaps because that direction is near a joint limit. I can instead close at the current pose; the silver car is already between the open fingers, and horizontal closure should contact its sides and allow it to shift toward the center without perfect alignment. I will close the left gripper for three control steps without translating the wrist, using the current position [−0.005, −0.159, 0.93] m and wxyz quaternion [0.271, 0.653, 0.271, −0.653]. Is that quaternion exact? It is the reported current value. With no requested wrist motion, I expect the precheck to pass.

The silver car is now centered, and the left and right finger pads appear to touch its sides near the doors, possibly at the side mirrors. I will perform a test lift over three control steps, targeting a left link6 height of z = 0.965 m, while holding the right arm stationary.

The silver car moved with the gripper during the test lift, so I conclude it is held. It needs to go into the left white basket. The left arm’s base is at x = −0.3 m, aligned with the basket’s estimated center at x = −0.3 m, y = 0.05 m, so this placement should be easier. The current left link6 position is [−0.006, −0.16, 0.963] m, with the car held below it. I should lift toward z = 1.04 m while moving left. My first target is [−0.20, −0.10, 1.05] m, which I estimate is 0.205 m away and within the command bound. I will retain the closing-direction angle phi = −45° and hold the right arm stationary. The combined motion might fail the precheck near a singular configuration, but moving toward the left arm’s base should be easier. I will use six control steps. I initially considered a subsequent target of [−0.30, 0.02, 1.02] m, with an estimated distance of 0.165 m, then an approach over the white interior at [−0.30, 0.03, 1.0] m. The basket is empty, and I likely can place the car directly without tilting because the arm’s base is aligned at x = −0.3 m. The held car is diagonal; its estimated length of 0.08 m should fit within the basket’s estimated width of 0.22 m. There is no required orientation. I should leave room for both cars. One possibility is to put the silver car toward the left-back half at x = −0.33 m, y = 0.07 m, leaving the front-right area for the yellow car. Although the skill asks for placement near the center, I should also avoid stacking the cars. I considered placing the silver car at x = −0.34 m, y = 0.05 m and the yellow car at x = −0.25 m, y = 0.03 m. My estimated basket interior spans x = −0.41 to −0.19 m, centered at −0.30 m with a width of 0.22 m, so x positions of −0.34 m and −0.26 m should both fit. Another option is silver at [−0.34, 0.04] m and yellow later at [−0.25, 0.04] m, or nearer the center if stable. I also considered a left-back silver placement at x = −0.34 m, y = 0.06 m. For now, my transport sequence is [−0.20, −0.10, 1.05] m followed by [−0.34, 0.04, 1.0] m. I will hold the right arm stationary and use six steps for the first motion.

The large precheck error after one iteration suggests that the requested direction may immediately encounter a joint limit. Perhaps the current closing-direction angle of phi = −45° prevents the left arm from moving left in this configuration. I could rotate the held car to a top-down orientation that closes along global Y or global X, then retry the transfer. The task does not require a particular car orientation, so I can change its yaw during transport. The left arm may be near joint limits. Choosing phi = 0°, closing along global X, requires a relative rotation of about 0.785 rad and may make leftward transport easier. The alternative phi = 90°, closing along global Y, might require 2.356 rad; I would need to calculate that. The +45° yaw change to phi = 0° seems easiest. The left link6 is currently at z = 0.963 m, and the held car’s bottom may be near z = 0.81 m. A yaw-only rotation while remaining top-down should preserve its height. The nearby yellow car is around x = 0.03 m, y = −0.28 m, about 0.13 m away from the held silver car’s estimated center at x = −0.006 m, y = −0.16 m. The silver car is about 0.07 m long, so its rotation might extend toward the yellow car, but I judge the roughly 0.12 m separation sufficient. The white and blue baskets are behind it near y = 0.05 m, about 0.2 m away. I will keep the left link6 position unchanged and rotate to phi = 0° with wxyz quaternion [0.5, 0.5, 0.5, −0.5], maintaining the grasp and holding the right arm stationary. Then I can retry transport with this orientation. I initially considered six control steps for the 0.785 rad rotation, but those might produce only about 0.4 rad of actual rotation and require another action. I will use eight steps to try to complete it.

The left wrist has only partially rotated; I estimate its closing-direction angle phi is about −22°. I could try transporting the car with this orientation, but the move might still fail the kinematic precheck. I will first finish rotating to phi = 0° with another eight control steps.

The left wrist’s closing-direction angle phi is now approximately −3°, close to the desired transport orientation. I will try a shorter move toward the left basket, targeting link6 position [−0.12, −0.14, 1.02] m, which I estimate is 0.139 m away, with the orientation for phi = 0°. The earlier larger transfer target failed the precheck with a position error of about 218 mm, but the wrist orientation has now changed. If this target passes the precheck, I can continue the transfer. I will use six control steps and hold the right arm stationary.

The transport motion is working now. The left link6 is at [−0.095, −0.145, 1.007] m, with the silver car held perhaps above the blue basket’s front-left area. I should continue toward the white basket placement location at x = −0.34 m, y = 0.04 m. I will first target the intermediate link6 position [−0.25, −0.08, 1.04] m, which I estimate is 0.179 m away, keeping the closing-direction angle phi at 0° and using six control steps. Then I plan to move toward [−0.34, 0.04, 1.0] m, an estimated distance of 0.16 m from that intermediate target. I will hold the right arm stationary.

The silver car may now be above the white basket’s front-right area; the wrist view shows white basket beneath the front of the car. I want to move it over the basket’s left side, toward x = −0.34 m, y = 0.04 m. The current left link6 position is [−0.184, −0.11, 1.024] m. I estimate the target distance as 0.217 m from sqrt(0.156² + 0.15²), within the 0.25 m command limit. An alternative link6 target is [−0.32, 0.02, 1.02] m, which I estimate is 0.196 m away. Placing the silver car near x = −0.32 m would keep it near the basket’s center-left. The white basket is empty, so there should still be plenty of room for the yellow car. I will choose [−0.33, 0.03, 1.00] m, with an estimated distance of 0.209 m. The kinematic precheck might still fail, but this target moves toward alignment with the left arm’s base. I will use six control steps.

The longer move failed the precheck without motion, so I will use a shorter intermediate left link6 target of [−0.26, −0.04, 1.03] m, approximately 0.103 m from the current pose, before continuing toward the basket’s left side. I will use six control steps.

Is the silver car over the white basket’s center? The wrist view shows white basket floor beneath the entire car, so it appears to be above the interior. The left link6 is at x = −0.248 m, y = −0.054 m. With the top-down orientation at closing-direction angle phi = 0° and an estimated local forward offset of 0.14 m, the car’s center should have roughly the same x and y coordinates. I estimate its center height at z = 0.886 m and its bottom at z = 0.866 m, above the estimated rim height of z = 0.85 m. The current x coordinate of −0.248 m puts the car over the basket’s right half. Could the yellow car go on the left or be stacked? I want to leave room beside the silver car, so I prefer placing the silver car near x = −0.30 m or −0.33 m. I will now target left link6 position [−0.32, 0.02, 1.0] m, an estimated move of 0.104 m from the current pose. This may pass the kinematic precheck. I will use six control steps.

The inward motion in +Y is still restricted. I could tilt the silver car into the basket as I did with the peppers, or release it at the current position. However, with link6 at x = −0.248 m and y = −0.054 m, the car’s center may also be near y = −0.054 m. My estimate of the white basket’s front interior boundary is y = −0.01 m, which would put the car outside the front. The white area beneath it in the wrist view may be the front wall rather than the interior. I need to move the car farther in along +Y before releasing it. The current wrist orientation is top-down with closing-direction angle phi = 0°. I will rotate it by +0.5 rad about global X, tilting the fingers toward +Y without translating link6. Using an estimated object offset d = 0.14 m along the fingers, I expect the car’s center to move to y = −0.054 + 0.067 = 0.013 m, inside the basket. Its x coordinate of −0.248 m is acceptable on the right half. With link6 at z = 1.026 m, I estimate the tilted car’s center height as 1.026 − d × cos(0.5) = 0.903 m and its bottom at z = 0.883 m, above the rim. Releasing from about 0.88 m may give a drop of roughly 0.06 m. This approach should work. Will this tilt the car’s nose? The car will rotate with the gripper about X, but there is no required orientation for container placement. I should check the wrist view after the tilt to ensure that the entire car is over the white interior rather than the front wall. I could also rotate about global Y to shift it left in x, but that seems unnecessary: I can place the silver car on the right and the yellow car on the left, with enough interior width for both. I will hold the left link6 at [−0.248, −0.054, 1.026] m and calculate the target quaternion as R_x(0.5) multiplied by its current quaternion. I am considering eight control steps for the tilt, while holding the right arm stationary.

The planned tilt is 0.5 rad. I will use eight control steps to rotate the left wrist while keeping its position fixed and maintaining the grasp on the silver car, with the right arm held stationary.

The white basket interior appears behind the upper part of the silver car, with gray floor beneath its lower part. The car’s front is at image y = 410, with gray floor below it. It looks fully over the white and gray basket bottom, with no wood directly beneath it, so I will release it. I will open the left gripper for four control steps while holding the right arm stationary, then verify the placement. The silver car may land at approximately x = −0.248 m, y = 0.015 m, inside the basket’s right half. After checking the release, I will withdraw the left arm toward the yellow car’s handoff location.

The silver car is lying on its side in the right side of the white basket. That is acceptable because this container placement has no orientation requirement. Next, the left arm should grasp the yellow car from the table handoff area and place it in the white basket. The left link6 is currently at [−0.248, −0.052, 1.027] m, tilted 0.5 rad toward +Y, with the gripper open. The yellow car has moved from its original horizontal world coordinates of approximately [0.39, −0.121] m to the handoff area near [0.03, −0.28] m. Its current high-camera location is around (345, 316) pixels. I can localize it using the current high and right wrist views, or use the left wrist view after approaching. The right wrist sees the yellow car partly cut off at the bottom-right, with a tentative center around (575, 452) pixels. For now, I will map its high-camera center into world coordinates using an estimated height. I am considering pixel (346, 316) at z = 0.781 m, or a plane near z = 0.78 m. The body center may instead be at (346, 315), which might give x ≈ 0.056 m, though the mapping depends on image v. I will calculate several nearby pixel candidates using z = 0.782 m.

The yellow car’s estimated horizontal center at the handoff spot is now [0.047, −0.267] m rather than [0.03, −0.28] m. It may have shifted slightly on release. I should align the fingers across its width. In the high-camera view, its front may point toward the lower left. Its apparent long axis runs from (330, 302) to (366, 330) pixels, with differences of 36 pixels in x and 28 pixels in y, suggesting the same approximate world yaw of −40°. I will use a top-down grasp with closing-direction angle phi = 50°. The left wrist currently has the phi = 0° orientation with an additional 0.5 rad tilt about global X. I should rotate toward phi = 50° while approaching above the yellow car at link6 height z = 1.03 m. Moving directly from the current link6 position [−0.248, −0.052, 1.027] m to [0.047, −0.267, 1.03] m would require an estimated distance of 0.365 m, exceeding the 0.25 m command bound. I will first use the intermediate position [−0.12, −0.16, 1.04] m, an estimated 0.196 m away, then continue toward [0.047, −0.267, 1.03] m. The desired phi = 50° orientation has wxyz quaternion approximately [0.66446, 0.24184, 0.66446, −0.24184]. Its rotation distance from the current quaternion [0.361, 0.608, 0.608, −0.361] may be about 1.4 rad, so I will calculate an intermediate orientation with a maximum rotation increment of 0.8 rad and proceed in stages. The right arm is clear at [0.3, −0.058, 1.07] m and can remain there, ready for the later left-watch handoff. My first planned motion is an eight-control-step retreat from the white basket toward [−0.12, −0.16, 1.04] m, with the intermediate wrist orientation toward phi = 50°. Moving forward and right, away from the basket, appears safe and should avoid the released silver car. I will calculate the intermediate quaternion now.

The calculated rotation from the left wrist’s current orientation to the desired yellow-car grasp orientation is 0.997 rad, just within the 1.0 rad command limit. I will still use the intermediate orientation requesting a 0.8 rad rotation and execute eight control steps.

The left link6 moved only about 0.05 m, and its wrist has not reached the commanded orientation. I plan to continue toward the intermediate position [−0.12, −0.16, 1.04] m. The previous target wxyz quaternion was [0.61539701, 0.32214914, 0.66626988, −0.27127642], while the measured quaternion is [0.453, 0.521, 0.639, −0.338]. I estimate the remaining rotation to that intermediate orientation at about 0.6 rad; could it still be near the 1.0 rad command limit? I could finish that intermediate orientation or rotate directly toward the yellow-car grasp orientation with closing-direction angle phi = 50°. The latter may still require about 1.2 rad, so I will calculate the remaining angle from the measured pose and derive a target with a rotation increment capped at 0.8 rad. I plan to use eight control steps for the next motion, retain the intermediate position target, and hold the right arm stationary.

The remaining rotation to the yellow-car grasp orientation, with closing-direction angle phi = 50°, is about 0.732 rad, so I can target that final orientation directly. I will use eight control steps while moving the left link6 toward the intermediate position [−0.12, −0.16, 1.04] m. After that, I will move toward the car.

The left wrist has still not reached the desired orientation or intermediate position. Its measured wxyz quaternion is [0.533, 0.431, 0.658, −0.311], compared with the target [0.66446302, 0.24184476, 0.66446302, −0.24184476]. I estimate that about 0.45 rad of rotation remains. Its measured horizontal position is [−0.174, −0.118] m, and the intermediate target is [−0.12, −0.16, 1.04] m, about 0.069 m away. Another eight control steps should bring it closer to the target. I will hold the right arm stationary.

The left wrist view is still directed toward the basket, and the arm is moving slowly. I will now move over the yellow car’s estimated horizontal center at [0.047, −0.267] m. From the current horizontal position [−0.138, −0.147] m, I initially estimate the distance as 0.24 m; sqrt(0.185² + 0.12²) gives about 0.22 m, within the 0.25 m command limit. About 0.23 rad of rotation remains to the grasp orientation with closing-direction angle phi = 50°, so I can command that final orientation. I will target the left link6 at [0.047, −0.267, 1.03] m for eight control steps, with the gripper open. The precheck might fail because this takes the left arm across the center. However, the right arm reached the handoff area near x = 0.05 m, and I think the left arm can likely reach x = 0.05 m, y = −0.27 m, with an estimated distance from its base of 0.35 m. If the precheck fails, I will try an intermediate horizontal position of [−0.05, −0.22] m. The left arm is near the blue basket’s front and will move forward and right, away from the basket, which I judge safe. I will hold the right arm stationary.

The left arm moved only about 0.06 m during the last action. The roughly 0.22 m approach motion may require 24 control steps at an estimated rate of 8 mm per step. There are 677 control steps remaining, so the budget is ample. The current wrist orientation is near the final grasp orientation, and I have high confidence that the path over the table between the blue basket and the yellow car is unobstructed. I can therefore use a longer navigation action. I will keep the same left link6 target of [0.047, −0.267, 1.03] m and the final grasp quaternion, and continue for 12 control steps.

The yellow car is centered near pixel coordinates (310, 145) in the left wrist view. Its long axis appears vertical in the image, so the fingers will close horizontally across its width, which looks suitable for grasping. I will descend toward a left link6 height of z = 0.92 m. With the estimated object-center height of z = 0.782 m, the planned contact offset along the fingers is 0.138 m. I expect the next three control steps to bring link6 to about z = 0.997 m, rather than reaching the final target immediately. I will keep the fingers open and hold the right arm stationary.

I will continue descending with the open left gripper for three control steps, expecting its link6 height to reach about z = 0.965 m.

The left link6 is at z = 0.962 m, and the yellow car’s center appears near x = 305 pixels in the left wrist view, which looks well aligned. I will continue descending for three control steps, expecting to reach about z = 0.93 m, then perhaps use another two steps to finish the approach.

The yellow car is centered, with the fingers positioned at its body sides and the left link6 at z = 0.927 m. This looks suitable for closure. I will close the left gripper for three control steps while keeping the wrist stationary.

The fingers are in contact with the yellow car’s sides. I will perform a test lift over three control steps, targeting a left link6 height of z = 0.962 m.

The yellow car is securely held after the test lift and needs to go into the white basket. The closing-direction angle phi = 50° caused difficulties when the right arm tried to cross the table. Moving the left arm leftward from x ≈ 0.05 m with this orientation might also encounter a limit, as happened with the silver car at phi = −45°. I will first rotate the left wrist in place to phi = 0°, the orientation that worked for transporting the silver car. The required rotation is about 0.873 rad, below the 1.0 rad command limit. I will use eight control steps, keep the yellow car grasped, and hold the right arm stationary. Afterward, I plan to transport the car through the intermediate link6 position [−0.12, −0.14, 1.02] m toward the white basket.

The left wrist has only partially reached the transport orientation. I will continue toward the same orientation for another eight control steps before transporting the yellow car.

The measured left-wrist quaternion still begins with w = 0.54 and x = 0.453, and I estimate its closing-direction angle phi at about 12° rather than the intended 0°. It may need six more control steps to finish the rotation. The rotation is progressing very slowly, perhaps because of joint 6. I will continue toward the same orientation for six steps.

I will now transport the yellow car toward the white basket. From the left link6’s measured position of [0.047, −0.267, 0.96] m, the target [−0.12, −0.14, 1.02] m is an estimated 0.224 m away, within the 0.25 m command limit. The path appears clear above the table, although moving the arm across the center may still fail the kinematic precheck. The phi = 0° transport orientation worked for the silver car starting at x = −0.006 m; the yellow car starts slightly farther right at x = 0.047 m, and I am targeting x = −0.12 m. I will use ten control steps, maintain the left grasp, and hold the right arm stationary.

The left link6 is now at [−0.081, −0.172, 1.004] m, with the yellow car above the blue basket’s front-left area, and I need to carry it to the white basket. I initially considered moving to [−0.25, −0.08, 1.04] m, an estimated distance of 0.198 m, over ten control steps, then continuing toward [−0.248, −0.052, 1.027] m. However, the silver car is already on the white basket’s right side, where I had considered placing the yellow car. In the high-camera view, the silver car appears at approximately (211, 180) pixels, compared with the basket center at (193, 177) pixels. Its image x coordinate of 211 suggests a world x coordinate around −0.27 m, though that estimate depends on perspective. The white interior spans approximately image x = 145–245 pixels. Placing the yellow car on the left near image x = 170 pixels would suggest world x ≈ −0.36 m. Although the silver car’s placement used link6 x = −0.248 m, its apparent center near world x = −0.27 m seems plausible. I could place the yellow car with link6 x ≈ −0.33 m, perhaps using a tilt toward +Y and also toward −X. Direct inward motion previously failed near horizontal coordinates [−0.248, −0.052] m. Placing the yellow car near x = −0.28 m, y = 0.01 m after tilting might leave it beside the silver car, but I want to avoid stacking. The silver car may occupy approximately x = −0.27 m, y = 0.03 m; releasing the yellow car near x = −0.248 m, y = 0.015 m could put it on top of the silver car. I will instead move link6 to x = −0.34 m before tilting, aiming to place the yellow car near x = −0.34 m, y = 0.015 m in the free left side. Reaching link6 x = −0.34 m, y = −0.052 m seems feasible from the left arm’s base at x = −0.3 m. Moving from the considered intermediate horizontal coordinates [−0.25, −0.08] m to [−0.34, −0.052, 1.027] m would involve a small leftward move and may be easier than moving inward along +Y. Tilting toward +Y could then carry the car into the interior while retaining x ≈ −0.34 m. My revised route is through [−0.30, −0.10, 1.04] m, then [−0.34, −0.052, 1.027] m, followed by the inward tilt and release. The immediate target is approximately 0.23 m from the measured pose. This relatively large move might fail the precheck, but I will retain the phi = 0° transport orientation and use ten control steps.

In the high-camera view, the yellow car is beneath the gripper at approximately (197, 228) pixels, in front of the white basket. This looks suitable for continuing the transfer. I will move the left link6 to [−0.34, −0.052, 1.027] m from its current horizontal coordinates of [−0.224, −0.127] m, an estimated distance of 0.138 m. This approach should allow me to place the yellow car to the left of the silver car. I will use eight control steps.

I will use a shorter intermediate left link6 target of [−0.28, −0.08, 1.03] m, approximately 0.074 m from its current pose, before continuing farther left toward x = −0.34 m. I will use six control steps.

In the high-camera view, the yellow car appears at approximately (168, 210) pixels, to the left of the silver car at (211, 180) pixels. The left link6 is at x = −0.28 m, y = −0.08 m, and the yellow car’s center may have the same horizontal coordinates, with z ≈ 0.89 m. Tilting toward +Y should move it into the basket, but is its x coordinate still too close to the silver car’s? Could the difference in their front-to-back positions explain some of their apparent horizontal separation through perspective? I am uncertain about the image scale and depth at y = −0.08 m, z = 0.89 m. World x = −0.28 m might project to image u ≈ 184 pixels, while the silver car at x = −0.248 m, y = 0.015 m projects to u ≈ 211 pixels. The yellow car would then be only 0.032 m farther left in world x. With car widths of about 0.06 m, they might overlap. I will move the left link6 farther left to [−0.34, −0.08, 1.029] m before tilting inward. This requests a −0.06 m change in x while keeping y unchanged, and I expect the small target to pass the precheck. I will use six control steps.

The leftward move also failed in this posture. The left arm’s base may be at x = −0.3 m, and link6 is currently at x = −0.28 m, so moving toward x = −0.34 m should bring it toward the base. Perhaps a singular configuration is restricting the joint 1 motion. I could shift the held yellow car left and inward by tilting the wrist while keeping link6 fixed. A rotation about global Y changes the downward local X direction according to R_y(θ) × (−Z) = (−sin θ, 0, −cos θ). A positive rotation of 0.3 rad would therefore tilt the fingers toward −X, giving the forward axis an x component of about −0.295. I could combine R_y(0.3) × R_x(0.5) with the current orientation, applying the global X rotation first and the global Y rotation second. With an estimated object offset d = 0.14 m along the fingers, I expect shifts of about −0.041 m in x and +0.063 m in y. From an estimated car center at (−0.28, −0.08) m, that would put it near (−0.321, −0.017) m, still at the front lip. Increasing the global X tilt to 0.65 rad might give a +0.079 m shift in y, placing the center near y = −0.001 m, inside. Alternatively, reaching an interior center at y = 0.02 m from link6 y = −0.08 m would require about +0.10 m of offset. With d = 0.14 m, that means a tilt sine of about 0.71 and an angle near 0.8 rad, or roughly 45°. I could first try moving link6 inward from y = −0.08 m to y = −0.052 m, the coordinate used for the silver-car placement. That is only a +0.028 m change in y. The earlier target at [−0.34, −0.052, 1.029] m failed with an x change as well; a target at [−0.28, −0.052, 1.029] m might pass or come close. If that move succeeds, a global X tilt of 0.5 rad would put the yellow car’s estimated center at y ≈ 0.015 m while leaving x near −0.28 m. The silver car is near x = −0.248 m, so the resulting 0.032 m lateral separation would not be enough. Adding a global Y tilt of 0.3 rad could shift the yellow car about 0.04 m farther left. I estimate a combined release position near (−0.32, 0.015) m, compared with the silver car near (−0.248, 0.015) m, giving about 0.072 m of separation, which seems sufficient. I will first try the small inward link6 move to y = −0.052 m at the current x coordinate, then use a combined wrist tilt to shift the held car left and inward.

The left link6 is now near the position used for the silver-car release, but at x = −0.28 m rather than −0.248 m. I will use a combined wrist tilt to move the held yellow car left and inward without translating link6. One option is R_y(0.35) × R_x(0.55) × q0, applying the global X rotation first and the global Y rotation second to the current orientation. The finger-forward direction would be R_y(0.35) × [0, sin(0.55), −cos(0.55)]. For its x component, I am considering −0.343 × 0.852, approximating this as −0.35 × 0.852 ≈ −0.293. My estimated direction is [−0.293, 0.522, −0.803]. With the car center an estimated d = 0.14 m along the fingers, that gives offsets of −0.041 m in x, +0.073 m in y, and −0.112 m in z. From link6 at [−0.28, −0.054, 1.028] m, I estimate the car center at [−0.321, 0.019, 0.916] m and its bottom at z = 0.896 m. A drop to a floor at z = 0.80 m would be about 0.1 m, a little high but potentially acceptable for container placement. Could I lower link6 after tilting? A direct downward move of 0.04 m might be possible, bringing the estimated center to z = 0.876 m and bottom to z = 0.856 m, with a drop of about 0.05 m. I could tilt first and then try lowering at the same horizontal position, although downward motion may also be near a joint limit. The silver car landed successfully after release from an estimated center height of z = 0.903 m and bottom height of about z = 0.88 m, with a drop of about 0.08 m. The yellow car’s proposed center at z = 0.916 m and bottom near z = 0.9 m are somewhat higher, but may still be acceptable. A smaller combination of 0.5 rad about global X and 0.3 rad about global Y would give estimated horizontal offsets of −0.036 m in x and +0.067 m in y, putting the center at y = 0.013 m and z = 0.905 m. Its bottom would be near z = 0.885 m, similar to the silver-car release. I will choose R_y(0.3) × R_x(0.5). I estimate the combined rotation angle as sqrt(0.3² + 0.5²) = 0.583 rad, below the 1.0 rad command limit. I will calculate the target quaternion, finger-forward direction, and estimated car center now. I plan to use eight control steps for the tilt and may need a further action to complete it.

The calculated combined tilt looks suitable for moving the yellow car inward and slightly left. I will use eight control steps, keeping the left wrist’s position fixed and the car grasped while holding the right arm stationary.

The combined rotation failed the precheck with a rotation error of about 15°. Perhaps the combined tilt is too large for the current joint configuration. I could use smaller intermediate rotations or separate the two tilts. I will first apply only the 0.5 rad tilt about global X. This worked for the silver car at link6 x = −0.248 m, although the left link6 is now at x = −0.28 m. The target wxyz quaternion is approximately [0.3608, 0.608, 0.608, −0.3608], representing a 0.5 rad rotation. I can apply the 0.3 rad tilt about global Y afterward. The separate X tilt may pass the precheck; I will try it for eight control steps.

The yellow car is still at the white basket’s front wall, with wood visible beneath its front end. I will finish the tilt about global X before adding the tilt about global Y to shift it leftward. Could I simply release it inside at x = −0.28 m? The silver car is at an estimated x = −0.248 m, giving a difference of −0.032 m. That might leave enough room, but the yellow car could land rotated after the tilt and stack on the silver car. I prefer to add the leftward shift before releasing it. First, I will use eight control steps to finish the X tilt toward the wxyz quaternion [0.36081657, 0.60815602, 0.60807077, −0.36084289].

The yellow car is now over the white basket’s interior, but it is very close to the silver car in the wrist view. The silver car’s front bumper appears at approximately (250, 140) pixels and the yellow car’s rear at (300, 140) pixels, nearly at the same image y coordinate. Could releasing the yellow car cause it to drop onto the silver car? I am uncertain about their separation along world X. The silver car appears above the yellow car in the wrist view, farther inside the basket rather than beside it; I have not yet applied the intended leftward shift. I will add a 0.3 rad tilt about global Y to shift the held yellow car left before release. The current orientation already includes the 0.5 rad tilt about global X, so the new target is R_y(0.3) multiplied by the current orientation. This gives the previously calculated combined wxyz quaternion [0.26591789, 0.54734336, 0.655189, -0.44769442]. The earlier attempt from the untilted pose failed precheck with about 15° of rotation error, but the current pose is only about 0.3 rad from this target, so I expect it to pass now. I will use six control steps while keeping the car grasped.

The tilt about global Y still fails the precheck, apparently because of a wrist limit at the current position. I could try half the requested tilt, using R_y(0.15) multiplied by the current orientation for a 0.15 rad change. It might pass if it stays within the joint limit, although even a small change could fail in this direction. Does the roughly 11° residual for the 0.3 rad target suggest that about 0.194 rad of rotation is possible? Interpreting the stopping residual of 11.3°, or 0.197 rad, instead suggests that the search achieved about 0.103 rad before stalling, so a 0.1 rad target might pass. Applying R_y(0.1) to the current orientation would shift the yellow car about −0.012 m in x. That is not enough for the intended separation, but perhaps two steps with repositioning could help, or releasing after that 0.012 m shift might provide enough separation. Another option is a yaw adjustment or a direct leftward translation now that the wrist is tilted. The earlier leftward translation failed at closing-direction angle phi = 0°, but the inward tilt may have freed the joint configuration. I will try moving link6 to [−0.32, −0.052, 1.029] m while retaining its current wxyz quaternion [0.361, 0.608, 0.608, −0.361]. This requests a 0.04 m leftward shift of the whole gripper and held yellow car, which is the separation I need from the silver car. The precheck may now pass; if it fails, no motion will execute. I will use four control steps.

Moving the yellow car right would bring it closer to the silver car: the silver car’s estimated x coordinate is −0.248 m, while the yellow car is at x = −0.28 m, only 0.032 m to its left. Moving the silver car afterward does not seem worthwhile. I could release the yellow car in its current pose and let it lean against or rest on the silver car, provided both remain stably contained. The task has no orientation requirement, so stacking is acceptable if stable. The yellow car appears above the interior, with the silver car farther back rather than directly beneath it, which initially suggests enough separation in y. I should check that interpretation against the estimated world positions. The yellow car’s link6 pose is [−0.28, −0.052, 1.029] m, with a 0.5 rad tilt about global X. Assuming its center remains about 0.14 m along the fingers, I estimate its center at [−0.28, 0.015, 0.906] m. The silver car was released from link6 position [−0.248, −0.052, 1.027] m with the same orientation and a 0.14 m forward offset, giving an estimated center at release of [−0.248, 0.015, 0.904] m. These estimates put both cars at the same y coordinate, separated by only 0.032 m in x. Does the wrist camera’s horizontal direction correspond to a world axis in this orientation? At closing-direction angle phi = 0°, local Y aligns with global X, so I think the camera’s horizontal row likely follows global X. An x difference should therefore appear horizontally rather than vertically. The silver car appears above and to the left, with its image center near x = 270 pixels compared with about 320 pixels for the yellow car, a 50-pixel difference. Its higher image position may mainly reflect perspective and depth: the silver car has fallen to the basket floor near z = 0.8 m, while the yellow car remains held near z = 0.906 m. The apparent vertical separation may therefore be mostly a height difference rather than separation in world y. The cars could overlap after release. My working orientation estimate starts with a longitudinal world yaw of −40°, followed by a +50° yaw rotation to the phi = 0° grasp orientation and then the tilt. That leaves the long axis near a world yaw of 10°, mostly along X. Each car is about 0.08 m long along X, greater than the estimated 0.032 m center separation. The silver car may have landed in a different orientation, and the yellow car could rest on its top or side. The container probably does not penalize contact, but I am uncertain whether that arrangement would be stable or could let the yellow car fall outside. Separating them toward the front and rear seems preferable. Changing link6 y would change the yellow car’s release position. Moving it from y = −0.052 m to y = −0.10 m toward the front would put the estimated car center at y = −0.033 m, outside the interior unless I increased the X tilt. Instead, I will try moving link6 rearward to [−0.28, 0, 1.029] m while retaining its current tilted orientation. This requests a +0.052 m shift in y and would put the estimated yellow-car center at y = 0.067 m, compared with the silver car at y = 0.015 m. Combined with the 0.032 m separation in x, I estimate about 0.06 m of separation, which seems sufficient. The basket’s rear interior may extend to y = 0.11 m; with the back wall near y = 0.10 m and the car about 0.04 m wide along Y, its 0.02 m half-width should fit at y = 0.067 m. Direct motion along +Y previously failed with phi = 0°, but the tilted posture may allow it now. I will try this target for four control steps while maintaining the grasp. The precheck may pass; if it does not, a smaller move remains an option.

The rearward move shifted the left end effector by 0.033 m. Is the yellow car’s center still at y = 0.015 m? Using the current end-effector y coordinate of −0.019 m and the estimated 0.067 m forward offset, I now estimate its center at y = 0.048 m. The silver car’s estimated center remains at y = 0.015 m, giving separations of 0.033 m in y and 0.032 m in x, or about 0.046 m overall. That may be enough if the cars are diagonal. The end effector still needs to move 0.019 m in y to reach the target y = 0. I will continue toward the same target for three more control steps, expecting it to reach approximately y = −0.002 m and put the yellow car’s center near y = 0.065 m. The white basket’s rear interior boundary is around y = 0.1 m, and the car is about 0.04 m wide, so I expect it to fit.

In the high-camera view, the yellow car is now at image coordinates (188, 149), near the white basket’s back-left interior, while the silver car is at (211, 181), toward the front-right. They have good separation, so I will release the yellow car.

Both cars are stable in the white basket. Only the leftmost watch remains on the table, near high-camera pixel (136, 283). I have assumed the left arm cannot reach the red basket directly, so I will use a central table handoff: the left arm will pick up the watch, carry it to the center, and release it, then the right arm will pick it up and place it in the red basket. The right arm is currently at [0.3, −0.058, 1.07] m and could receive the watch near horizontal coordinates [0.05, −0.27] m, where the yellow car was previously set down. The watch’s current image center is slightly different from its initial location at (130, 280). Was it nudged by the left gripper early in the episode? It was initially partly underneath that gripper, so the difference may instead reflect improved visibility; its world position and the camera perspective likely remain unchanged. I will calculate a world-position estimate from pixel (136, 283) using an assumed height near z = 0.76 m, then refine it with the left wrist view after approaching. The band appears circular, perhaps centered at (136, 283), with the face on its right. Possible face locations are (144, 278) or (141, 279), but these readings are tentative. I should grasp across the band. The left link6 is currently at [−0.28, −0.002, 1.028] m above the white basket, with closing-direction angle phi = 0° and a 0.5 rad tilt about global X. I should withdraw into clear space and approach the watch, whose tentative horizontal position is around [−0.35, −0.19] m. A high approach target of [−0.35, −0.19, 1.02] m would be about 0.20 m away. Either a top-down grasp closing along global X or one closing along global Y may be reachable, since the watch is near the left base at x = −0.3 m. The global-Y closing orientation worked for the peppers near [−0.28, −0.15] m, so I will choose its wxyz quaternion [0.707, 0, 0.707, 0]. The rotation from the current quaternion [0.361, 0.608, 0.608, −0.361] may be about 1.6 rad, so I need an intermediate rotation of 0.8 rad. I can first retreat toward [−0.32, −0.15, 1.03] m while rotating, moving toward the front and away from the white basket along a path I judge safe, then finish the top-down alignment over the watch. The right arm can move toward a staging pose while the left approaches the watch. A direct move from [0.3, −0.058, 1.07] m to the handoff approach at [0.05, −0.267, 1.03] m is about 0.327 m, exceeding the 0.25 m position bound. I will instead use [0.18, −0.16, 1.05] m as an intermediate target, with an estimated distance of 0.194 m, retaining the top-down orientation that closes along global Y. The path over the table appears clear, with only the watch remaining on the left and the baskets behind it. Moving the right arm all the way to the handoff point while the left carries the watch there could cause a collision. I will therefore keep the right arm at the staging pose until the left has released the watch and retreated. The left arm’s eventual handoff target might be near horizontal coordinates [0.02, −0.28] m; the right can approach afterward. For now, I will calculate the left wrist’s 0.8 rad intermediate orientation and the watch-position estimates, then approach the watch with the left arm while moving the right arm to staging.

The watch’s estimated center is [−0.371, −0.194, 0.761] m. I will eventually approach it with the left link6 at [−0.371, −0.194, 1.02] m. First, I will retreat to the intermediate position [−0.33, −0.15, 1.04] m and rotate toward the calculated wxyz quaternion [0.57831302, 0.33727446, 0.7153297, −0.20025834]. At the same time, I will move the right arm to its handoff staging pose at [0.18, −0.16, 1.05] m. I will use eight control steps.

The left link6 has only reached horizontal coordinates (−0.307, −0.076) m and is still over the white basket, so I will continue toward the watch. The right link6 is at horizontal coordinates (0.232, −0.112) m and has not yet reached its staging pose; I will keep its staging target at [0.18, −0.16, 1.05] m. My next left link6 target is [−0.371, −0.194, 1.02] m, an estimated distance of 0.135 m from its current pose. I would like to finish the top-down orientation that closes along global Y, but I am unsure of the remaining rotation: perhaps 0.9 rad, or possibly 1.02 rad. I will calculate the angle from the measured quaternion and derive an orientation target with a maximum rotation increment of 0.8 rad. I plan to use eight control steps for the next motion.

I will use the calculated intermediate left-wrist orientation, with wxyz quaternion [0.65774307, 0.16976837, 0.726815, −0.10145303], for the next approach toward the watch. I will execute eight control steps while continuing the right arm toward its staging point.

The last watch is partly visible at the top of the left wrist view. I need to finish the top-down orientation that closes along global Y and move the left link6 to [−0.371, −0.194, 1.02] m. Its current wxyz quaternion is [0.612, 0.273, 0.724, −0.164]; I estimate the remaining rotation to the final orientation at perhaps 0.57 rad, within the 1.0 rad command limit. I considered six or eight control steps and will use six, holding the right arm at its staging pose. Once the left wrist reaches the final pose, the watch should be centered in its view.

The left wrist has not yet reached its final orientation, and the watch appears at approximately (370, 70) pixels in the left wrist view. The gripper’s position is correct, so I will use another six control steps to finish the top-down wrist rotation while holding the right arm stationary.

The left wrist is now nearly pointing downward, and the watch’s center appears at approximately (335, 130) pixels in the wrist view. With link6 at z = 1.02 m and the estimated watch center at z = 0.761 m, the forward separation is d = 0.259 m. That predicts an image y coordinate near 135 pixels, consistent with the observed position. The watch is about 15 pixels to the right of the desired image x coordinate of 320. I can adjust the end-effector y coordinate because the camera’s horizontal direction corresponds to global −Y. However, both the current end-effector y coordinate and the watch’s estimated y coordinate from the high view are −0.194 m, so I would expect u = 320. The small remaining wrist-orientation error appears to explain the offset. I will finish the exact top-down orientation and begin descending toward the left link6 target [−0.371, −0.196, 0.918] m with the gripper open. Over three control steps, I expect a z change of about −0.035 m and some further orientation correction; I can repeat the short approach as needed. As with the previous watches, I am aiming for a grasp contact distance of about d = 0.15 m along the fingers at link6 height 0.918 m. The estimated fingertip height is 0.760 m, above the estimated table height of 0.75 m. I will hold the right arm stationary and use three steps.

The watch’s center appears near (325, 160) pixels in the left wrist view, which looks well aligned. I will continue the descent for three control steps, expecting the left link6 height to reach about z = 0.95 m.

At the current left link6 height of z = 0.953 m, the watch ring’s center appears at (320, 200) pixels in the left wrist view. Descending toward the target height of z = 0.918 m should bring its image y coordinate to approximately 310 pixels. I will continue for three control steps, expecting the left link6 height to reach about z = 0.923 m.

The watch band’s center appears at (330, 270) pixels in the left wrist view, with the finger pads on either side. This looks well aligned, so I will close the left gripper for three control steps.

The left gripper’s fingers are contacting opposite sides of the watch band. I will perform a test lift over three control steps, targeting a left link6 height of z = 0.958 m to check that the watch is held.

The watch moved with the left gripper in the high-camera view, so I conclude it is held. I will carry it to the central handoff location at x = 0.05 m, y = −0.267 m. Transporting it with the top-down orientation that closes along global Y may encounter a reach limit near the center at high elevation, but y = −0.267 m is close to the base, so I expect the location to be reachable. The path across the front of the white and blue baskets appears clear, with no other objects left on the table. I plan to move the left link6 in segments: first to [−0.20, −0.23, 1.02] m, with an estimated travel distance of 0.177 m; then to [−0.03, −0.27, 1.0] m, also estimated at 0.177 m; and finally to [0.05, −0.267, 0.92] m to set the watch down. The right arm is staged at [0.18, −0.16, 1.05] m. At the handoff, the horizontal separation would be about 0.167 m, and each gripper is about 0.12 m wide, so could the arms collide? The right gripper is open and the left is carrying the watch. At the final set-down pose, the position differences would be x = 0.13 m, y = 0.107 m, and z = −0.13 m, giving about 0.21 m of separation, which is probably enough. However, the right fingers extend down to about z = 0.89 m, while the left link6 at z = 0.92 m would put its fingers near z = 0.76 m, and the right arm’s body may still be close. Moving the right arm farther right and upward before the left approaches seems safer. I considered keeping the right arm staged or moving it back toward its base to [0.30, −0.20, 1.05] m. Another option is [0.28, −0.20, 1.06] m while the left executes its first segment; that right-arm move is about 0.11 m and would likely pass the precheck. I will use concurrent targets of [−0.20, −0.23, 1.02] m for the left link6 and [0.30, −0.20, 1.06] m for the right, retaining both top-down orientations that close along global Y. The left gripper will stay closed and the right open. The arms will move apart along paths I judge clear, so I will use ten control steps. The right arm can approach the handoff after the left has released the watch and retreated.

The left link6 is now at [−0.262, −0.22, 0.997] m, and the held watch appears at pixel coordinates (165, 280) in the high-camera view. I will move the left link6 next to [−0.08, −0.27, 1.0] m, an estimated distance of 0.187 m, using ten control steps while holding the right arm stationary. After this segment, I will continue to the final handoff location at x = 0.05 m.

I will move the left link6 to the handoff approach position [0.05, −0.267, 1.0] m from its current horizontal coordinates of [−0.162, −0.249] m, an estimated distance of 0.213 m. The path is clear, so I will use 12 control steps while holding the right arm stationary. After reaching the handoff position, I will lower the watch.

The left link6 has reached x = 0 m rather than the commanded x = 0.05 m, leaving 50 mm of travel to that target. However, the handoff location at x = 0 m, y = −0.266 m is acceptable and more accessible to the left arm. The right arm can pick up the watch at x = 0 m. I will now lower the watch onto the table. The current left link6 height is z = 0.997 m. I estimate the watch center height as 0.761 + (0.997 − 0.923) = 0.835 m, its bottom near z = 0.83 m, and the table at z = 0.75 m. Releasing now would give an estimated drop of 8 cm. I could lower link6 to z = 0.923 m, its original grasp height, to put the band on the table. With a target of [0, −0.266, 0.923] m and the top-down orientation that closes along global Y, I expect three steps to bring link6 to about z = 0.964 m, another three to about z = 0.93 m, followed by two more steps. I will instead target z = 0.918 m to ensure the watch reaches the table, using three control steps now. I will keep the left gripper closed and hold the right arm stationary with its gripper open.

I will continue lowering the held watch toward table-contact height for three control steps, while holding the right arm stationary.

At the measured left link6 height of z = 0.927 m, I estimate the watch band’s center at world z = 0.765 m and its bottom at z = 0.755 m, with the table at z = 0.75 m. This looks suitable for release. I will open the left gripper over four control steps while holding both wrists stationary and keeping the right gripper open, then verify the release. Afterward, I may retreat the left arm to a clear pose such as [−0.15, −0.25, 1.0] m. The right arm can approach once the watch has been released.

The watch is resting on the table at the handoff point, with horizontal coordinates [0, −0.266] m. I will withdraw the left arm into clear space while the right arm approaches. The left link6 target is [−0.15, −0.25, 1.02] m, an estimated distance of 0.174 m, with the gripper open and oriented top-down to close along global Y. Moving the right link6 directly from [0.3, −0.2, 1.06] m to [0, −0.266, 1.02] m would require about 0.309 m, exceeding the 0.25 m command limit. I will instead use the intermediate target [0.15, −0.24, 1.03] m, an estimated distance of 0.156 m, with its gripper also open. The left arm starts over the watch and needs to move away before the right enters that area. Although both arms will move leftward, I judge the simultaneous intermediate motions safe: the left moves from x = 0 m toward x = −0.15 m, while the right only approaches x = 0.15 m. Their proposed positions have about 0.3 m of separation. I will use ten control steps. Afterward, the left arm can hold at [−0.15, −0.25, 1.02] m while the right approaches the watch at [0, −0.266, 0.95] m. Once the right has grasped it, the left can retreat farther toward its initial position through clear space.

The right link6 is at horizontal coordinates [0.196, −0.229] m, and the handoff watch is visible near pixel coordinates (375, 410) in the lower center of the right wrist view. I will move the right link6 to [0, −0.266, 1.0] m, an estimated distance of 0.201 m, before lowering toward the watch. The left arm is safely clear at [−0.134, −0.253, 1.01] m, so I will hold it there while executing ten control steps for the right-arm approach.

The right link6 is currently at x = 0.067 m and y = −0.255 m. The watch’s center appears near (345, 285) pixels in the right wrist view, about 25 pixels to the right of the image center, suggesting that its actual world y coordinate is slightly more negative. I plan to finish the approach near x = 0 m, y = −0.27 m and lower link6 to z = 0.92 m. In the high-camera view, the watch is near (323, 319) pixels. Its world center may be around [0.005, −0.274] m horizontally. The left arm set it down at [0, −0.266] m, but it may have shifted during release to approximately [0.005, −0.275] m. I will map the current high-camera ring center onto an assumed height of z = 0.761 m to refine this estimate; it may give horizontal coordinates near [0.005, −0.276] m.

The mapping puts the watch’s y coordinate near −0.267 m, so the earlier approach target at x = 0 m, y = −0.266 m was appropriate. I will move the right link6 toward x = 0 m and descend toward z ≈ 0.92 m, using a height target of 0.918 m from its current height of 1.012 m. I estimate the target distance at about 0.11 m. Over three control steps, I expect approximately −0.035 m of motion in x and −0.03 m in z, with another short action needed afterward. I will hold the left arm stationary.

The watch ring’s center appears near (340, 285) pixels in the right wrist view, close to alignment. I will continue toward the same target for three control steps.

The watch ring’s center appears near (340, 300) pixels in the right wrist view. The right link6 is at x = 0.019 m rather than the target x = 0.006 m, with z = 0.939 m, so it is close to the planned grasp pose. I will use two control steps for the final adjustment toward [0.006, −0.267, 0.918] m, keeping the gripper open before closure. The left wrist has drifted slightly while I keep commanding the top-down orientation that closes along global Y, but the drift is minimal and the arm still appears safe. I could continue using that orientation, though holding its current measured orientation may avoid further drift. I will use its reported wxyz quaternion [0.704, −0.004, 0.71, −0.001], normalized, to hold the left arm during the right arm’s final approach.

The watch’s center appears near (355, 290) pixels in the right wrist view. It is not perfectly centered, but it is between the pads. The right wrist still has a slight tilt and has not fully reached its position target. I will close in place for three control steps and let the opposed contacts center the band. Holding the left arm with an approximate quaternion appears to have caused significant drift: about 0.017 rad in orientation, −0.006 m in x, and −0.008 m in z. Could this be due to IK? I should use its exact measured pose for subsequent holds. I could read the exact values from obs_000642 first, but the currently reported rounded quaternion has a norm near 1 and should be adequate. Perhaps the earlier approximation introduced a target-orientation discrepancy of about 0.014 that prompted servo motion, though the effect was not large. I will hold the left arm open at position [−0.141, −0.252, 1.0] m with wxyz quaternion [0.692, −0.022, 0.722, −0.004]. It may still drift slightly, but it appears safe. I will close the right gripper at its current position [0.011, −0.263, 0.927] m and wxyz quaternion [0.7, 0.01, 0.714, −0.002], using three control steps.

The right fingers have made good contact with the watch band. I will perform a test lift over three control steps, targeting a right link6 height of z = 0.962 m, while holding the left arm at its current measured pose.

The right link6 is currently at [0.133, −0.192, 1.023] m. I will move it toward the red basket’s frontal approach position at [0.28, −0.05, 1.06] m, an estimated distance of 0.205 m, using ten control steps. I will hold the left arm stationary. After this approach, I plan to move the watch into the basket’s interior.

The held watch is still at the red basket’s front-left wall and needs to move inside. I could use the previous link6 target [0.28, −0.003, 1.014] m, or perhaps [0.31, 0.03, 1.02] m to avoid the two watches clustered toward the back. In the high-camera view, those watches appear near pixel coordinates (442, 187), toward the back-left, leaving room at the front-right. I could place the last watch near x = 0.33 m, y = 0.02 m to avoid stacking. The right arm’s base is at x = 0.3 m, so that target should be easier to reach. The previous placements near x = 0.28 m, y = 0 m ended with the watches toward the back-left after falling or rolling. Other possible placement coordinates are x = 0.34 m, y = 0.02 m, or a front-right center at x = 0.34 m, y = 0 m. From the right link6’s measured position [0.237, −0.097, 1.046] m, I estimate the distance to [0.33, 0.02, 1.02] m at about 0.15 m, so I expect the target to pass the precheck, though that remains uncertain. The held ring’s center should be near the end effector’s horizontal coordinates, placing it in the basket’s center-right area. The existing watches’ image location near (442, 187) pixels may correspond to world x = 0.29 m, y = 0.04 m. That suggests about 0.04 m of separation, compared with an estimated band diameter of 0.05 m, which I judge acceptable. I will target the right link6 at [0.33, 0.015, 1.02] m with the top-down orientation that closes along global Y, keeping the watch grasped. I will use eight control steps and hold the left arm stationary.

The held watch is still straddling the red basket’s front wall, while the other two watches remain inside behind it. The right link6 is currently at x = 0.302 m and y = −0.026 m, so it has not reached the target horizontal coordinates of x = 0.33 m and y = 0.015 m. At the current y coordinate, the ring’s center appears to be at the front wall and needs about +0.04 m of inward movement. I will continue toward the same target for eight control steps; that may be enough to reach it.

The watch ring is now over the red basket’s interior, though I initially wonder whether its right edge is still slightly over the wall. Red basket interior is beneath most of it, and the wood appears only beyond the wall at image x = 470 pixels, while the ring’s right edge is at x = 440 pixels. I conclude that the ring is inside the boundary. I will release it over four control steps while holding the left arm stationary, then verify that the watch remains in the basket.

The final watch is in the red basket, and all objects appear sorted and stable. The high view shows two cars in the white basket, three peppers in the blue basket, and three watches in the red basket. The third watch is partly hidden beneath the gripper in the high view, but the wrist view shows all three. Native success is still false; the required arm return remains to be completed. Both grippers are open. The current left link6 position is [−0.141, −0.252, 1.0] m, and the right is [0.328, 0.008, 1.017] m above the red basket. Before calling robot_reset, I must use robot_act to move both arms into clear space so the return motion avoids collisions. I am considering a right-arm withdrawal upward and forward toward [0.30, −0.20, 1.06] m, a previously clear pose, and a left-arm move toward [−0.30, −0.30, 1.02] m near its initial position. Once they are clear, I may allow 50 control steps for robot_reset to return their joints to the initial configurations. The direct right target [0.30, −0.20, 1.06] m is approximately 0.215 m away, but I am uncertain whether its precheck will pass. Earlier, withdrawing from the red basket through [0.28, −0.05, 1.06] m before continuing toward y = −0.20 m worked. I will similarly use [0.30, −0.06, 1.07] m first, a short move of about 0.09 m, then continue toward [0.30, −0.20, 1.06] m. For the left arm, I considered [−0.30, −0.30, 1.00] m, approximately 0.166 m away, along a clear front-left path away from the baskets. Its initial position was [−0.3, −0.352, 0.922] m, so moving in that direction should prepare it for return. I will instead use [−0.28, −0.32, 0.98] m, approximately 0.158 m away. I could restore the top-down orientation that closes along global Y, but there is no need to rotate now because reset will handle the orientation once the arm is clear. I will retain its current slightly tilted wxyz quaternion [0.692, −0.022, 0.722, −0.004]. I will execute both withdrawals together for eight control steps, keeping both grippers open and the right wrist in its top-down orientation that closes along global Y. Then I can withdraw the right arm farther forward while the left is near its initial position. I will tell the user that sorting is complete and I am preparing the arms for return.

The right arm is still over the red basket’s front-right area and needs to move farther forward to y = −0.20 m. The left arm is nearly in clear space and can move closer to its initial position. In the high-camera view, I see both cars—the yellow and silver ones—in the white basket, three peppers in the blue basket, and two watches in the red basket plus the third near the gripper at image coordinates (475, 188). The objects appear correctly sorted. I will target the left link6 at [−0.30, −0.35, 0.94] m, near its initial position while retaining its current orientation. I judge that pose to be in clear, open space. The right link6 target is [0.30, −0.20, 1.06] m, approximately 0.142 m from its measured position. Both open grippers will move toward the clear front workspace, which I judge safe. I will use eight control steps.

The right link6 has only reached y = −0.112 m rather than the target y = −0.20 m, so I will allow another eight control steps. The left arm is already close to its initial position and in clear space at [−0.284, −0.331, 0.969] m. Could I reset now? In the high-camera view, the right gripper appears near pixel (500, 160), above the back-right table area near the red basket’s front edge. Its fingers are open, with link6 at z = 1.07 m and estimated fingertips at z = 0.91 m, above the rim. Returning toward its initial y = −0.352 m and z = 0.922 m would move it forward and downward, away from the basket, so I think the return path is likely safe even now. However, the gripper may still be over the red basket’s edge, and the instructions require both arms to be in clear, open space before reset. I will finish withdrawing the right arm to y = −0.20 m for greater confidence, then reset. The left wrist’s wxyz quaternion unexpectedly changed to [0.699, 0.003, 0.715, 0.026] from the commanded quaternion beginning [0.692, −0.022, …]. Could this drift be due to holding a rounded target or to gravity? I am unsure, but it does not appear problematic. I will hold the left arm at its current measured pose with its gripper open while continuing the right arm toward the same withdrawal target for eight steps. There are 396 control steps remaining, which is enough.

Both arms are now in clear space in front of the baskets. The left arm is close to its initial position, although its wrist is still oriented top-down rather than in its initial orientation; the right arm is farther from its starting pose. All objects are sorted and released, and both grippers are open. I will call robot_reset using obs_000712 and allow 50 control steps to return both arms to their initial joint configurations while preserving the open grippers. Then I will inspect the resulting observation.

The reset planner requires repositioning because its direct joint path predicts a self-collision between the left arm’s link2 and link8. No control steps were executed. I can use robot_act to move gradually toward the initial end-effector poses: left at [−0.3, −0.352, 0.922] m and right at [0.3, −0.352, 0.922] m, both with the initial 90° yaw orientation. Each target must stay within 0.25 m and 1.0 rad of the measured pose. The left arm’s current orientation is approximately 2.09 rad from its initial orientation, and the right arm’s difference is similar, so I need intermediate rotations. I can rotate both wrists toward their initial orientations while moving toward their initial positions. My working expectation is that using IK through intermediate poses will avoid the self-collision on the direct joint-return path. If I reach sufficiently close to the initial poses, I expect the subsequent reset to require no motion and report native success. The initial fingers point horizontally along global +Y, whereas they currently point downward. Rotating near the table could sweep the fingers into it, so I should first lift into clear space, perhaps to z = 1.07 m, and/or keep the arms forward near y = −0.35 m. The left link6 is currently at z = 0.969 m, compared with its initial z = 0.922 m. I could lift it to z = 1.05 m before rotating; another candidate is z = 1.06 m at its current x and y coordinates with its orientation unchanged. The right link6 is already at z = 1.063 m, which I consider safe. I could hold it there or move it toward y = −0.30 m and z = 1.07 m. Then I can rotate toward the initial orientation through increments of 0.8 rad and translate toward the initial positions. Alternatively, I could change the left arm’s configuration with a partial tilt of about 45° and retry reset if that makes the direct joint path clear. The predicted link2/link8 collision may be related to a folded joint4 configuration, or perhaps to the current joint2 and joint3 configuration. I need to inspect the measured joints rather than assume the cause. The initial joint values were all zero; the direct interpolation toward zero may bring the elbow and wrist into a collision, and a partial orientation change may avoid that. My preferred approach is to command the initial orientation in stages with robot_act, bringing the joints close to zero before retrying reset. I will now read the current joint state and calculate both arms’ orientation differences from home, along with intermediate quaternion targets capped at 0.8 rad, to plan the next motion.

The current left joint angles are approximately [−0.137, 0.946, 0.667, −1.253, −0.029, 1.402] rad, while all home joint angles are zero. The predicted collision between link2 and link8 on the direct return path may relate to joint 4 being near −1.25 rad and joint 6 near 1.4 rad. The right joint angles are [0.0014, 1.5605, 1.4568, −1.468, 0, 1.5725] rad, also with an all-zero home configuration. I can rotate both wrists toward home through intermediate orientations at a safe height. Should I lift the left arm to z = 1.06 m first? I think I can combine that lift with the intermediate rotation and a move to y = −0.352 m. The left link6 target [−0.3, −0.352, 1.06] m is approximately 0.094 m away and requests 0.8 rad of rotation. The right link6 is currently at y = −0.183 m and z = 1.063 m; moving it to y = −0.352 m at the same height requests 0.169 m of travel. As the fingers rotate from downward toward horizontal, they may extend forward. At link6 height z = 1.06 m, I estimate their downward extent near z = 0.91 m, rising toward z = 1.06 m as they become horizontal. Their minimum height may remain around z = 0.91 m, above the objects near z = 0.82 m. Both arms are in front of the baskets, with y coordinates between −0.352 m and −0.183 m, and the right arm’s move toward y = −0.352 m takes it farther away from the baskets. I judge these paths safe. I will combine the position changes and intermediate rotations in one action, keeping both grippers open. The left target quaternion in wxyz order is approximately [0.801859, 0.00247, 0.49197, 0.33909], at position [−0.3, −0.352, 1.06] m. The right target quaternion is approximately [0.810313, −0.000213, 0.492405, 0.317694], at position [0.3, −0.352, 1.063] m. Both position changes are within 0.25 m, and each rotation is 0.8 rad. I expect the precheck may pass: the reset identified a collision along the direct return path, not at the current configuration, and these targets use a different path. I considered 10 or 12 control steps for the rotation and will use 10.

The left link6 is now near its initial x and y coordinates, but remains at z = 1.061 m with an intermediate wrist orientation. The right link6 has reached only y = −0.272 m rather than the target y = −0.352 m; could joint limits be slowing it down? The right wrist’s measured quaternion has w = 0.783 and y = 0.593, compared with target components w = 0.810 and y = 0.492. Did it rotate beyond the intermediate target toward home by about 0.2 rad? Its remaining orientation distance to home may be about 1.2 rad. I should use another intermediate orientation. I could retry reset from this configuration, which is closer to home, and perhaps its direct joint path would no longer self-collide. However, I prefer to continue guiding both arms toward their initial poses to ensure the return. I will read the current joint state and calculate each arm’s next orientation toward home, limiting the rotation increment to 0.8 rad.

I will use the next intermediate wrist orientations toward home: left wxyz quaternion [0.7847, 0.00164, 0.21609, 0.58098] and right [0.81218, 0.000078, 0.32812, 0.48239]. The left link6 position target is [−0.3, −0.352, 1.04] m, lowering it slightly, and the right target is [0.3, −0.352, 1.04] m. The right arm still needs to move 0.08 m toward negative Y to reach y = −0.352 m, which I expect it can do. Each wrist target requests 0.8 rad of rotation. I judge this motion safe and will use 10 control steps with both grippers open.

Both link6 poses are now near their initial x and y coordinates, at approximately z = 1.04 m, with the wrists still in intermediate orientations. The wrist views show the baskets off to the sides, and I judge the arms to be in safe space. I should continue rotating toward their home orientations. Perhaps about 0.9 rad remains for the left wrist and 1.0 rad for the right; I will calculate the remaining orientation distances from the measured poses.

The left wrist’s remaining rotation to its home orientation is about 0.854 rad, below the 1.0 rad command limit. For the right wrist, I will use an intermediate target requiring about 0.85 rad of rotation. I will target the left link6 at [−0.3, −0.352, 0.96] m with the home wxyz quaternion [0.707106, 0, 0, 0.707106], lowering it by about 0.08 m. The right link6 target is [0.3, −0.352, 0.96] m with the intermediate wxyz quaternion [0.767825, 0.000362, 0.141576, 0.624820]. As the wrists rotate toward horizontal and descend, the fingers may extend forward along global +Y over the table. At a link6 height of z = 0.96 m, I estimate the horizontal fingertips will also be at z = 0.96 m, safely above the objects. The eventual initial end-effector height of z = 0.921 m is also above the objects near z = 0.82 m. The baskets are near y = 0.05 m, while the fingertips would extend from y = −0.352 m by about 0.157 m to y = −0.195 m, remaining in front of the baskets. I judge the motion safe and will use 10 control steps.

The left wrist has not reached its home orientation. Its measured wxyz quaternion is [0.783, 0.001, 0.199, 0.59], compared with the home target [0.707, 0, 0, 0.707]; it rotated only about 0.4 rad during the last action. The right wrist also reached only partway toward its intermediate target: its measured w, y, and z components are 0.814, 0.326, and 0.482, compared with target components of approximately 0.767, 0.142, and 0.625. I should continue toward home. I estimate the remaining orientation distances at perhaps 0.52 rad for the left wrist and 0.8 rad for the right. Can I command both home orientations directly if the right wrist’s remaining rotation is within the 1.0 rad command limit? I will calculate both distances from the measured poses before deciding.

Both wrists are now within the 1.0 rad command limit of their home orientations: about 0.487 rad for the left and 0.827 rad for the right. I will target the initial link6 positions, [−0.3, −0.352, 0.922] m for the left and [0.3, −0.352, 0.922] m for the right, with the home orientation and both grippers open. The planned vertical descent is 0.053 m, and I judge this motion safe. I will use 12 control steps; this should bring both arms close to their initial poses before I retry the reset.

The episode has ended with native_success set to true, so I will make no further robot actions and report the supplied successful outcome: the cars are in the left basket, the peppers in the middle basket, and the watches in the right basket, with the arm return requirement satisfied. The right end-effector quaternion does not exactly match its initial orientation, but success was triggered at step 754, likely because the joint state met the home tolerance. I should therefore say that the arms were returned as required without claiming an exact match to their initial poses.