按语言分拣物体任务成功

I need to sort the objects into their designated baskets and then reset the robot. I should first read the robot-manipulation skill and inspect the observation calibration. I will work without subagents and plan the manipulation systematically using both arms. My tentative visual inventory is two watches, perhaps three wooden toys—a tall white elephant at the front left, a brown bear on the left near the gripper, and a small yellow toy in the middle—and two chocolate bars, one in the center and one on the right. I need to identify all the objects. The left white basket is for watches, the middle blue basket is for wooden toys, and the right red basket is for chocolate bars. There are 1100 control steps available, which seems ample, but I still need to move carefully and use 1–3 steps per action near contact. The starting link6 positions are (-0.3, -0.352, 0.922) m for the left arm and (0.3, -0.352, 0.922) m for the right arm, both with quaternion (0.707, 0, 0, 0.707) in wxyz order. I am unsure how to interpret that orientation: is it 180 degrees about Z? With w and z both 0.707, does local +X point along world +X and local +Y along world -Y? For Rz(pi), the matrix is diag(-1, -1, 1), which would instead put local +X along world -X and local +Y along world -Y. The wrist views seem to show the fingers on either side of the objects, pointing forward into the scene. Both end effectors have y = -0.352 m, and perhaps the table is centered at zero. I should inspect the images and calibration to establish the world-axis directions before moving.

I’ve prepared enlarged camera images. I’ll inspect the enlarged overhead view to clarify the object shapes and scene layout before selecting the first grasp.

The initial quaternion with w = 0.707 and positive z = 0.707 represents +90 degrees about Z, not 180 degrees. I had mistaken it for 180 degrees, which would require z = 1. Initially, local X points along world +Y and local Y along world -X. This seems consistent with the camera looking forward along +Y and downward: the gripper points horizontally forward, while the camera is pitched down 30 degrees relative to it. The fingers open along world X. For a top-down grasp, quaternion [0.5, -0.5, 0.5, 0.5] in wxyz order puts local X along world -Z and local Y along world -X. I interpret this as a relative 90-degree rotation about world Y. The required 90-degree rotation exceeds the 1.0-radian command limit, so I need an intermediate 45-degree rotation about Y. A possible halfway quaternion is [0.6533, -0.2706, 0.6533, 0.2706], using spherical interpolation, or I could compose the initial Rz90 orientation with Ry45. I should calculate that. I could move above the elephant and the right chocolate bar while partially rotating. With the initial gripper pointing along +Y, the fingertips are approximately at y = -0.352 + 0.157 = -0.195 m and z = 0.922 m. The objects are below z = 0.76 m, so there is clearance. During downward rotation, the fingertips may arc lower; at the final orientation, if link6 stays at z = 0.922 m, the tips would be at z = 0.764 m and y = -0.352 m, in front of the objects. Moving toward an object along Y while rotating could risk table contact. The fingers would be only 0.004 m above the table, and I am still unsure about their X clearance. It is better to lift link6 to z = 1.05 m before rotating. The downward-pointing fingertips would then be at z = 0.892 m, leaving clearance before I reposition. For the first move, I will instead lift both arms to z = 1.08 m with their initial orientation. I initially considered y = -0.28 m, with left x = -0.28 m and right x = 0.23 m, estimating a 0.16 m displacement and considering 8 steps safe. Then I can rotate through the intermediate orientation at z = 1.08 m and finish the downward rotation at the same height, positioning each arm above the front objects. My selected targets are (-0.28, -0.25, 1.08) m for the left arm and (0.23, -0.25, 1.08) m for the right arm, both retaining quaternion [0.707, 0, 0, 0.707]. I estimate the distance as 0.17 m and will use 8 steps with both grippers open. This lift should also provide another view before grasping.

After 8 steps, the arms have moved only about 0.05 m rather than reaching their targets. I estimated the measured motion over those 8 steps as 0.058 m, even though the task increment is bounded at 0.02 m per step. Could the joint increments and IK explain this? Perhaps the maximum joint increment is slowing the motion, so I will need several actions. Are the same targets still within 0.25 m of the current poses? I initially estimate the left target difference as 0.16 m; its remaining components are x = 0.016 m, y = 0.08 m, and z = 0.108 m, giving a distance of 0.135 m. I estimate the right target distance as 0.134 m. I can continue toward the same clearance targets, perhaps for another 8 steps.

Both arms are now near their clearance targets, so I can proceed toward the intermediate orientation. I should compute the halfway quaternion using spherical interpolation from the initial orientation to the downward orientation. Is it [0.653281, -0.270598, 0.653281, 0.270598] in wxyz order? I’ll calculate it precisely with SciPy.

I could later move the left arm from its current position near (-0.284, -0.27, 1.055) m toward (-0.29, -0.16, 1.07) m for the elephant, whose estimated y coordinate is -0.06 m. I will leave that repositioning for later. For now, I can rotate at the current positions. Are the forward-extending fingers near the basket? The left link6 is at (-0.284, -0.27, 1.055) m, and the fingers extend 0.157 m along +Y, putting their tips at approximately y = -0.112 m and z = 1.055 m, above the elephant at an estimated z = 0.8 m. After a 45-degree rotation, the fingertip direction would be (0, 0.707, -0.707), with tips at approximately y = -0.159 m and z = 0.944 m. That should still be above the elephant, whose height may reach z = 0.85 m. At the final downward orientation, the tips would be at y = -0.27 m and z = 0.897 m with link6 at z = 1.055 m, leaving clearance. The right chocolate bar is at approximately y = -0.19 m and z = 0.76 m. Rotating downward at the right arm’s current y = -0.276 m would keep the fingertips at y = -0.276 m, so I expect no collision. I will rotate both open grippers halfway toward the downward orientation at their current positions, using 6 steps.

Did the arms rotate only about 0.1 rad in 6 steps? I estimate the change from the initial quaternion to the observed quaternion as about 0.142 rad. The intermediate target has a quaternion component of about 0.653, compared with about 0.703 in the observation. My estimate of the rotation about Y is about 0.142 rad, much less than the intended 0.785 rad. The joint increments are limited to 0.05 rad per step, so 6 steps might allow at most 0.3 rad, with only about 0.14 rad achieved, perhaps because of gearing. I need to allow more steps. Can I repeat the intermediate target under the precheck? It remains within the 0.25 m position bound, and I estimate the remaining orientation distance as about 0.65 rad, below the 1.0 rad limit, so the precheck will likely pass. Going directly to the downward quaternion would require an estimated 1.28 rad change from the current orientation, exceeding that limit. I must continue through the intermediate orientation. I’ll use 12 steps, which may be enough to reach it.

The grippers have now rotated about 0.67 rad from their starting orientation and are almost at the intermediate orientation. Perhaps another 3 steps would reach it, but can I target the downward orientation directly now? Using the current left quaternion [0.671, -0.224, 0.224, 0.671] in wxyz order, its dot product with the downward quaternion [0.5, -0.5, 0.5, 0.5] is 0.3355 + 0.112 + 0.112 + 0.3355 = 0.895. This gives an orientation distance of about 0.928 rad, below the 1.0 rad command limit. I can therefore target the downward orientation without first reaching the intermediate pose. The precheck may pass, though that remains uncertain. I’ll keep both positions unchanged and command the downward orientation for 12 steps.

The measured orientations show that the grippers have rotated beyond the intermediate orientation but have not yet reached the downward orientation. Perhaps another 6 steps will finish the rotation. The left wrist view now shows the brown toy centered below, the elephant at the top, and the yellow toy on the right. The right chocolate bar is near image coordinates x = 270, y = 215 in the right wrist view. Once the grippers point downward, the wrist cameras will look directly down, making alignment easier. I’ll continue the rotation for 6 steps.

The grippers are almost pointing downward; is the remaining angle about 0.1 rad? The left gripper’s current quaternion has a dot product with the downward target quaternion of 0.266 + 0.2325 + 0.2325 + 0.2665 = 0.9975, giving an estimated remaining angle of 0.1 rad. I think another 2 steps should finish the rotation.

With the grippers pointing downward, is each wrist camera’s optical direction different from the finger direction, perhaps pointing slightly forward? The objects appear mostly near the top of the images or partly outside the view. The left link6 is at y = -0.269 m, while the brown toy’s estimated y coordinate is -0.209 m, placing it 0.06 m forward. Perhaps the camera looks along world -Z with a tilt; the objects appearing at the top suggests they are in front. I should inspect the calibration in obs_000057 and invert the camera extrinsics to determine the cameras’ world positions and viewing directions. I can use this geometry to project the link-frame geometry and map the gripper’s pixel center into world coordinates. The camera may be tilted 30 degrees toward +Y relative to the fingers, but I do not yet know the Y offset between link6 and the camera center’s projection onto the table. I can investigate that using a table plane at z = 0.75 m. I’ll also estimate the brown toy’s world position from its approximate wrist-image pixel coordinates (394, 62), and the right chocolate bar’s position from approximately (278, 0), where it is partly outside the image. I’m considering ray intersections with a plane at z = 0.78 m, then comparing these estimates with the overhead view.

The top-down orientation puts local X downward, but the wrist camera’s forward vector is [0, -0.496, -0.868], so it looks toward world -Y and down rather than toward +Y. Initially, the camera looked toward +Y; rotating the gripper from forward to downward about Y makes the camera look backward and down. Its mounting therefore gives it a 30-degree backward tilt relative to the link when the gripper points down. I initially thought this meant the wrist camera sees objects behind the link, at more negative Y coordinates. However, the brown toy’s projected y coordinate is about -0.236 m, which is less negative than the link’s y = -0.269 m. The camera center is at y = -0.2178 m, or 0.0512 m ahead of the link. The ray to the toy moves toward more negative Y from the camera, while the toy remains ahead of the link. The optical center projects onto the table at y = -0.3355 m. The gripper axis is at y = -0.269 m and may project near the top of the wrist image; the toy farther forward at y = -0.236 m appears near v = 65 pixels. To center an object at wrist-image coordinates (320, 240), the link would need y = object y + 0.0665 m, since the current image-center projection onto the table is 0.0665 m behind the link. For grasp alignment, I need the gripper-axis projection rather than necessarily the image center. Where does the point (link x, link y, 0.76 m) appear in the image? I’ll calculate that. The wrist view helps keep the object visible, but the fingertips may not align with the image center. With local X pointing down, the fingers extend along world -Z at the link’s x and y coordinates, and the pads close along world X. The grasp target’s x and y should therefore match the object center. I can use calibration to project the current link axis at the object’s height and align the object’s image location with that projection. In obs_000057, the left gripper axis at z = 0.79 m might project near (320, 138) pixels. I’ll calculate its projection to check.

The gripper axis at an object height of z = 0.79 m should appear around pixel (320, 151), rather than at the image center, (320, 240). I tentatively locate the brown toy’s body at (390, 65) and its head at (350, 150), giving a body-center estimate of x = -0.255 m and y = -0.236 m. I could move the left gripper to those x and y coordinates to grasp the body. The right chocolate bar is partly beyond the top of the wrist image. Its estimated y = -0.19 m is ahead of the right link’s y = -0.275 m. At z = 0.765 m, the gripper axis projects near v = 136 pixels, whereas the bar may project at a negative v coordinate. Does being ahead of the camera center at y = -0.2237 m put it behind the camera, which looks toward -Y? Its lower height can still put it in front of the camera along the downward viewing direction. To align the bar with the gripper-axis pixel near (320, 133), I should move the link to approximately y = -0.19 m, a +0.085 m change. The brown toy’s position is less certain. A possible target is x = -0.25 m, y = -0.21 m. The earlier overhead estimate was (-0.259, -0.209, 0.76) m, while the wrist estimate using pixel (390, 65) at z = 0.79 m was approximately (-0.255, -0.236, 0.79) m. The 0.027 m difference in y may come from choosing different image points. In the wrist view, the large body may be around (400, 110), with the head around (350, 140), suggesting a diagonal long axis. The overhead center may be nearer (181, 289) than u = 190, which might imply x = -0.276 m. I should inspect a larger crop of the current wrist and overhead views, though the original image may be enough. The brown toy seems to have a large saddle-like body around (400, 110), a head around (350, 155), and legs. Perhaps a grasp point near (408, 101) would work. I had considered it a bear or turtle, but the current view looks more like a carved elephant, with a large body around (408, 92), possibly two ivory features, and a decorated back. It is probably a brown wooden elephant, with another light elephant at the front near the white basket. The yellow toy may be a chick. My inventory remains three wooden toys. In the current left wrist view, the brown toy spans approximately x = 320–480 and y = 0–200 pixels. Another body-center estimate is (405, 85), with the head at (350, 140). I will use z = 0.80 m for the body top and compare ray-plane estimates from several pixels. The overhead object is around (180, 287), which might give x = -0.278 m. I could instead triangulate corresponding points between the overhead and left wrist cameras without assuming a height. A distinctive body-top point might be around (180, 278) overhead and (400, 80) in the wrist view, but matching those points is not straightforward. I am assuming the table is at z = 0.75 m, which is a common RoboDojo table height. The initial end-effector height of 0.9215 m seems typical, the baskets may be 0.08 m tall, and the watches may be at z = 0.75 m. These are estimates rather than measured object heights. The brown toy may be about 0.07 m tall, with its body top at z = 0.82 m. I want contact around its middle, at z = 0.78–0.80 m. The link6 height should be the contact height plus a finger-contact offset, perhaps 0.12 m. With the fingers pointing downward, their farthest extent is 0.1576 m, and the pads may extend over local distances of about 0.1–0.157 m. I should choose a link height that leaves the tips about 0.01 m above the table while putting the pads around the body. If the toy is 0.06 m tall, a body grasp at z = 0.78–0.81 m might work with link6 at z = 0.91 m. I estimate the tips would then be at z = 0.752 m and the pads around z = 0.78–0.85 m. A link height of table height plus 0.16 m, or 0.91 m, seems plausible. For a chocolate bar only 0.01 m thick, table height plus 0.15 m would put link6 at 0.90 m and the tips at 0.742 m, below the table. I should avoid that and consider 0.91 m instead, with tips at 0.752 m. The pads could still sit above a bar at z = 0.76 m, so contact might depend on their lower edges near the fingertips. Since the contact area usually reaches near the tips, 0.91 m may work for both objects. For a watch ring about 0.015 m tall, I might use 0.905 m. Perhaps these tasks normally use an end-effector height of 0.93 m; I will learn from the first brown-toy and bar grasps. My initial plan is to align x and y at link6 z = 1.0 m, then descend toward 0.92 m in short actions. The open finger gap may be about 0.11 m. With closing along local Y, currently world -X, that should accommodate a brown body about 0.08 m wide. The right bar may be 0.12 m long and 0.025 m wide, lying diagonally in the table plane. I should orient the closing direction across its width to improve contact. At the downward quaternion, local Y points along world -X and local Z along world +Y. Rotating about local X, which points along world -Z, changes the closing direction within the table plane. The bar’s long axis appears to have a world displacement roughly (0.07, -0.04) m: its red end is left and up in the overhead image and its white end right and down. The endpoints are approximately (415, 274) and (445, 290) pixels. Thus the long axis points toward +X and -Y, perhaps about 40 degrees below +X. A perpendicular closing direction might be (0.5, 0.866). I could rotate about world Z by perhaps -50 degrees. Alternatively, closing along world X at the center of a bar angled about 35 degrees might still hold it, with an effective width of 0.04 m, although the contacts would not be perfectly antipodal. The skill favors adapting the orientation to the object. I can obtain the desired orientation by composing the downward rotation with a rotation about local X. At the downward orientation, local X is [0, 0, -1], local Y is [-1, 0, 0], and local Z is [0, 1, 0]. A local-X rotation by alpha gives local Y = [-cos(alpha), sin(alpha), 0], since (-Z) crossed with (-X) gives +Y. For a closing direction of [-0.5, -0.866], equivalent to the opposite direction [0.5, 0.866], alpha should be -60 degrees. This is perpendicular to a bar axis [0.866, -0.5], with dot product -0.433 + 0.433 = 0. The composition is R_down × Rx(alpha), or q_down × qx(-60 degrees). A 60-degree change is 1.047 rad, slightly beyond the 1.0 rad command limit. I could use an intermediate orientation while clear of the objects. A -45-degree local-X rotation would give a closing direction [-0.707, -0.707], whose dot product with [0.866, -0.5] is -0.612 + 0.354 = -0.258. That is not exactly perpendicular but may be adequate. Gripping the bar along its length is another possibility, but an open gap of 0.1 m may not fit a bar 0.11 m long, so grasping across its width is preferable. I plan to rotate the right gripper by -60 degrees in two stages after alignment at a height of 1.02 m. For the brown toy, its decorated body’s long axis may lie along world Y. The overhead body is around (180, 287), but I am uncertain about the head direction and may need a crop. Keeping the closing direction along world X across a body width of about 0.07 m seems reasonable if it is an elephant oriented along Y. My tentative alignment targets are x = -0.255 m, y = -0.215 m over the brown body, and x = 0.225 m, y = -0.19 m over the white chocolate bar. Before moving, I will refine these using the overhead camera and assumed heights. The brown body center may be around (181, 288) pixels; in the enlarged overhead view, my estimate is (365, 574) divided by two, or (182.5, 287). At z = 0.80 m, the overhead projection gives y_camera = -0.866y - 0.4 + 0.29893 = -0.866y - 0.10107, and z_camera = 0.5y - 0.69282 + 1.33776 = 0.5y + 0.64494. For v = 287, the normalized vertical coordinate is 47/288 = 0.1631. Solving -0.866y - 0.1011 = 0.08155y + 0.1052 gives y = -0.2177 m and z_camera = 0.5361 m. Then x = (182.5 - 320)/288 × 0.5361 = -0.2560 m. This gives a brown-body estimate of approximately (-0.256, -0.218, 0.80) m. Its x agrees with the earlier wrist estimate of -0.255 m, but y differs from -0.236 m by 0.018 m. I will now calculate the wrist estimate using body pixel (400, 90) at z = 0.80 m and compare the selected points across the views.

The wrist calibration at the approximate wxyz quaternion [0.501, -0.499, 0.499, 0.501] shows that the camera looks toward world -Y and down. The brown body’s wrist-based estimate is y = -0.244 m, while the overhead estimate is y = -0.218 m, a significant difference of 26 mm. Perhaps the assumed height of z = 0.80 m is wrong. I’ll triangulate the body point using wrist-image coordinates (400, 90) and overhead-image coordinates (182.5, 287). If these pixels correspond to the same physical point, their camera rays should intersect there. I’ll use a least-squares calculation to find the closest points on the two rays.

The table is likely at z = 0.75 m. The stereo estimates put the brown toy’s center near (-0.248, -0.223, 0.816) m and the right chocolate bar near (0.222, -0.196, 0.764) m. I’ll align the left gripper at x = -0.248 m, y = -0.223 m and the right gripper at x = 0.222 m, y = -0.196 m. For the brown toy, perhaps a link6 height of 0.92 m would work. Its body top is around z = 0.816 m, and side contact could be around z = 0.79 m. At that link height, the fingertips would be at z = 0.762 m, with the pad region perhaps spanning z = 0.77–0.90 m. For the thin bar, a link6 height of 0.908 m would put the tips at z = 0.750 m for contact around z = 0.76 m; I could use 0.91 m. Another possibility for the brown toy is 0.93 m, with tips at z = 0.772 m. That may be too high near its base, though its body sides extend to z = 0.81 m, so pad contact could still work. A link6 height of 0.915 m would put the tips at z = 0.757 m, allowing the fingers to straddle the body and reach near the table beside its legs. The body is about 0.06 m wide at z = 0.80 m, which seems suitable. For now, I’ll set both link6 heights to 1.0 m for alignment, then adjust the right gripper’s orientation. The left arm will move from (-0.284, -0.269, 1.051) m toward (-0.248, -0.223, 1.00) m, an estimated displacement of 0.081 m. The right arm will move from (0.25, -0.275, 1.042) m toward (0.222, -0.196, 1.00) m, an estimated displacement of 0.095 m. Perhaps 5 steps will suffice. I’ll keep both grippers open with the downward quaternion [0.5, -0.5, 0.5, 0.5] in wxyz order.

The brown toy’s body center appears near pixel (320, 220). Where does the left gripper axis project at z = 0.80 m with link6 at z = 1.001 m? My first estimate is around (320, 241). The camera center may be at link y + 0.051 m and link z - 0.085 m, giving y = -0.173 m and z = 0.916 m. The axis point at y = -0.224 m and z = 0.80 m is therefore 0.051 m farther in negative Y and 0.116 m lower than the camera. Its optical depth would be approximately -0.496 × (-0.051) - 0.868 × (-0.116) = 0.025 + 0.101 = 0.126 m. I have not worked out the optical Y component. Previously, with link6 at z = 1.051 m, the axis at z = 0.80 m projected near v = 151 pixels. Does lowering link6 by 0.05 m make the axis appear farther away? I now estimate v around 239 pixels. The body center at (320, 220) seems close to the axis. The right link6 is at (0.227, -0.211, 1.007) m. I initially estimate its axis at the bar’s z = 0.764 m to project near (320, 211), while the bar center appears near (300, 130). Earlier, with link y = -0.275 m, the bar projected beyond the top of the image. Moving +0.064 m in Y to -0.211 m has brought it into view near v = 130. Perhaps the axis actually projects near v = 230. Either way, the bar appears above the axis projection, consistent with its estimated y = -0.196 m being 0.015 m ahead of link6. The right arm has not reached its target after only 6 steps. I should move it another +0.015 m in Y and -0.005 m in X, from x = 0.227 m to the bar’s estimated x = 0.222 m. I could continue toward (0.222, -0.196, 1.0) m for 2 steps. The left arm is already near the body target at x = -0.248 m, y = -0.223 m. Before descending, I should rotate the right fingers to close across the bar’s width. I could rotate about local X by -45 or -60 degrees. A -60-degree change from the current downward orientation is 1.047 rad, slightly above the 1.0 rad command limit. I can first target -45 degrees, a 0.785 rad change, and reach -60 degrees later. I need to calculate those quaternions. Should I also rotate the left gripper across the brown toy’s body? Its apparent long axis runs from the head at lower-left pixel (220, 280) toward the body at upper-right pixel (360, 170). Camera X corresponds to world X. With the downward camera’s forward vector [0, -0.496, -0.868], I estimate optical Y as [0, -0.868, 0.496], so image-up is [0, 0.868, -0.496]. At constant Z, image-up therefore corresponds to world +Y. The toy’s long axis seems to run diagonally toward world +X and +Y. A perpendicular closing direction might be local Y = [-0.7, 0.7], whereas the current local Y points along world -X. Is the body axis mostly along Y? Its image length looks diagonal at about 45 degrees. The object spans roughly x = 200–410 pixels; I tentatively considered a width of 0.21. At z = 0.80 m, the image scale might be about 2000 pixels/m, suggesting about 0.1 m. The black fingertips span approximately x = 0–125 and 515–640 pixels, leaving a gap of about 390 pixels, perhaps 0.11 m physically. Another estimate puts the object’s roughly 200-pixel width at 0.056 m. Closing along X might contact the head at x = 200 and the body at x = 410, which could give poorly aligned forces. However, at the body-center row near v = 220, the body’s sides appear around x = 270–405. The head is lower in the image and should not be involved at that row. The current orientation therefore seems suitable for gripping the body, and I will leave the left gripper unrotated. The bar’s wrist-image long axis runs from upper-left pixel (190, 50) to lower-right pixel (420, 190). At constant Z, that corresponds to world +X and -Y, consistent with my earlier interpretation. A perpendicular local-Y closing direction would be [-0.5, -0.866], obtained with a -60-degree rotation about local X. I will first rotate the right gripper by -45 degrees, then perhaps apply the remaining -15 degrees while descending, while maintaining its target position and holding the left arm. I’ll calculate the rotated quaternions now.

The calculation confirms that composing the downward orientation with a -45-degree rotation about local X gives a quaternion with w approximately 0.2706. I’ll hold the left arm at its current pose and move the right arm to (0.222, -0.196, 1.0) m with that -45-degree orientation, using 6 control steps.

The right gripper’s measured orientation appears to be only about -20 degrees about local X from the downward orientation, rather than the commanded -45 degrees. I can perhaps target the -60-degree orientation now, since I estimate the remaining orientation distance as about 0.7 rad, below the 1.0 rad limit. I’ll keep the right link6 at z = 1.0 m during this rotation and descend afterward. I can combine that rotation with lowering the left link6 by about 0.04 m to z = 0.96 m. At that height, the open fingertips would reach approximately 0.96 - 0.157 = 0.802 m, below the estimated toy-body top at z = 0.816 m. Could they contact the top? The fingers are separated along X, and the body top may lie between them, so I expect no collision. I should use short actions near the toy, initially considering 2 steps. The left target is 0.041 m below its measured position, so I’ll allow 3 steps. I considered 6 steps for the right rotation, but both arms must use the same step count in one call. I’ll use 3 steps for both, accepting that the right rotation may remain incomplete, then inspect the next observation.

The right gripper rotated only about 0.09 rad in 3 steps, so it needs more time. The left toy now appears larger, with its body center perhaps near pixel (330, 270). Where does the gripper axis project at the object height of z = 0.80 m with link6 at z = 0.969 m? As the arm descends, the wrist camera moves down and the object appears larger. Even with X and Y aligned, the axis projection at the object’s height depends on link6 height through the camera translation. Is the camera now at z = 0.884 m? I could calculate the exact axis pixel with a script and project the estimated body point at z = 0.815 m, then compare both projections at the same height. Those projections should coincide if X and Y match. The left gripper is at x = -0.249 m, y = -0.224 m, compared with the estimated object position of x = -0.248 m, y = -0.223 m, so I see no alignment issue. The right target at x = 0.22 m, y = -0.197 m is also close to the estimated bar position of x = 0.222 m, y = -0.196 m. The right gripper still needs to finish rotating to -60 degrees about local X relative to the downward orientation. Does its measured wxyz quaternion [0.39, -0.59, 0.39, 0.59] correspond to an angle alpha of about -26 degrees? It seems closer to -26 degrees than to the -45-degree target, whose quaternion starts with approximately [0.2706, -0.6533]. I think 8 steps should allow it to reach -60 degrees. Perhaps -45 degrees would be sufficient, but I will keep the -60-degree target. I could use those same 8 steps to lower the left link6 to z = 0.93 m, but that would bring it near the object. Is its speed about 0.006 m per step? In the previous 3 steps it moved 0.032 m, about 0.0107 m per step, so 8 steps could allow the remaining 0.039 m descent and settling. Still, the final approach should use only 1–3 steps. One option is to hold the left arm at z = 0.969 m while the right rotates for 8 steps, then descend separately. For efficiency, I can instead lower the left arm only to z = 0.95 m during the right rotation. That is a 0.019 m descent, which I expect to finish in about 2 steps, after which it can hold safely. I also considered z = 0.945 m, which would put the fingertips around z = 0.787 m beside the object. Since the intended final left grasp height is z = 0.915 m, I will use z = 0.95 m as the intermediate height. The right link6 will remain at z = 1.0 m. I’ll use 8 steps with both grippers open, then inspect the observation.

The right gripper is now near a -44-degree rotation about local X relative to the downward orientation. The bar appears vertical in the wrist image because the wrist camera rotates with the gripper. Are the fingers still on the left and right of the image? They appear unchanged there, so the horizontal closing direction is across the bar’s width. Around -45 degrees, this alignment looks suitable; I no longer need to reach -60 degrees. The bar’s center appears around pixel (310, 155). Where should the gripper axis project at the bar’s height of z = 0.764 m with link6 at z = 1.0 m and the current orientation? I could calculate that. If the gripper’s X and Y coordinates match the object’s, their projections at the same height should coincide. The right gripper is currently at x = 0.219 m, y = -0.197 m, close to the estimated bar position of x = 0.222 m, y = -0.196 m. I’ll descend both arms toward their grasp heights. The left link6 is at z = 0.95 m; a target of z = 0.918 m would put the tips near z = 0.760 m, requiring a 0.032 m descent. The right link6 is at z = 1.0 m; an eventual grasp target of z = 0.91 m would put its tips near z = 0.752 m, requiring a 0.09 m descent. For this action, I’ll use 3 steps to target z = 0.918 m on the left and an intermediate z = 0.97 m on the right, a 0.03 m descent, then inspect. Could the left fingers contact the body’s top? The open gap is visible around the centered body, with the fingers on either side, although the toy extends beyond the bottom of the image because of its proximity. The short descent looks appropriate.

The left link6 has not lowered from z = 0.923 m despite the small target change to z = 0.918 m. Could contact constraints be responsible, with the open fingertips touching the table or object? I see no shift in the overhead view. Another possibility is that the native IK did not converge on the small adjustment because of its precision. At link6 z = 0.923 m, I estimate the fingertips are at z = 0.765 m, 0.015 m above the table, which may still allow a body grasp. The right link6 is at z = 0.94 m, putting its fingertips near z = 0.782 m, while the bar’s top is around z = 0.764 m. The pads may not yet reach the bar. I’ll lower the right link6 to z = 0.912 m with its gripper open. I can close the left gripper now at z = 0.923 m, since it is positioned around the toy’s body, while the right gripper makes its final descent. I’ll use 3 control steps for both arms: closure on the left and approach on the right.

The left gripper’s opening command has decreased from 1 to 0.371 over 3 steps, so closure is still in progress. The fingers now appear closer around the toy’s body, which looks promising. The right link6 is at z = 0.923 m rather than the target of 0.912 m, perhaps because it descended only 0.017 m during those 3 steps. I should continue commanding the left gripper closed while finishing the right descent to z = 0.912 m, which may need 2 more steps. Should the left opening command reach 0 even with resistance from the object? It reports the latest interpolated command, not the measured finger gap. The change from 1 to 0.371 in 3 steps suggests about 0.21 per step; I estimate another 3 steps are needed to reach 0. I’ll use 3 steps for both arms, holding the left pose with closure commanded and keeping the right gripper open as it approaches z = 0.912 m. Then I’ll inspect the observation before closing the right gripper.

The right fingers appear well positioned around the middle-to-lower portion of the chocolate bar. The brown toy’s body is between the left fingers and may be secure. I’ll test both grasps with a small vertical lift of 0.035 m, targeting link6 z = 0.958 m for both arms over 3 control steps, then inspect the next observation.

The right chocolate bar clearly lifted: it fills the wrist view vertically and appears at the gripper in the overhead view. The brown toy is less clear overhead. Before the lift, in obs_000096, I estimate it at pixel (174, 304); afterward, in obs_000099, it may be at (174, 307). Could it still be on the table? In the left wrist view, however, it stays in the same position relative to the fingers. If it had remained on the table as the gripper rose, I would expect its appearance or size to change. Its body and legs occupy roughly y = 200–300 pixels in both observations, which supports a successful grasp. The left gripper rose about 0.03 m. I also tentatively locate the brown toy overhead at (170, 305), though perhaps it is actually at (168, 298). Raising its Z coordinate should move it upward in the image, perhaps by 10 pixels. I could compare overhead crops from obs_000096 and obs_000099 or compare its size in the wrist images. The body top and legs remain around y = 190 pixels in both wrist views, so I conclude that the left toy is held as well. Next I need to transport the toy to the blue basket and the bar to the red basket. I am still estimating the basket centers. The blue basket’s overhead center is around (320, 177) pixels. Assuming its bottom is at z = 0.78 m might give world x = 0 m and y = 0.07 m; the earlier estimate using z = 0.76 m gave y = 0.089 m. Its center is likely near (0, 0.1) m in the table plane, with the white basket near x = -0.3 m, y = 0.09 m and the red basket near x = 0.3 m, y = 0.09 m. The basket width is uncertain: perhaps 0.18 m. The white basket spans overhead pixels x = 125–255, or 130 pixels. With a scale near 500 pixels/m at z = 0.78 m, that suggests 0.26 m, though perhaps the actual width is 0.22 m. I should aim at the centers. Using a ray-plane estimate for a bottom at z = 0.77 m, based on a table height of 0.75 m plus a bottom thickness of 0.01 m, the white basket’s inner-bottom center around (193, 174) pixels may correspond to (-0.30, 0.10) m. The blue center at (320, 174) pixels would correspond to x = 0 m, y = 0.10 m, and the red center at (449, 174) pixels to x = 0.30 m, y = 0.10 m. My working centers therefore have x coordinates -0.30, 0, and 0.30 m, all at y = 0.10 m. The rims may be at z = 0.84 m. With the grippers pointing down and the object bottoms approximately 0.16 m below link6, keeping the bottoms above a rim height of 0.85 m requires link6 above z = 1.01 m. A transport height of 1.06 m may work. I could lift to 1.07 m while moving toward basket y = 0.10 m, but the full moves exceed the target-distance limit. For the left arm, moving from (-0.249, -0.224, 0.953) m to (0, 0.10, 1.07) m gives an estimated distance of sqrt(0.249² + 0.324² + 0.117²) = 0.426 m, exceeding 0.25 m. One option is to lift first to z = 1.08 m at the current X and Y coordinates, a 0.127 m lift, then move horizontally in 0.2 m segments. Another is a diagonal intermediate left target of (-0.12, -0.05, 1.07) m. I initially estimate that move as 0.24 m; its components are 0.129, 0.174, and 0.117 m, with squared terms 0.0166 + 0.0303 + 0.0137 = 0.0606, giving about 0.246 m. That is close to the limit. The orientation would remain unchanged, but the precheck might still fail. For the right arm, the move from (0.223, -0.199, 0.954) m to (0.30, 0.10, 1.07) m is about 0.327 m, also too far. An intermediate target of (0.27, -0.03, 1.07) m would be about 0.213 m away. I need clearance throughout the lift and transport. The held brown toy’s bottom may currently be around z = 0.79 m, so raising it should be safe. The blue basket lies between the two paths: the left arm would move from x = -0.25 m toward x = 0 m at y = 0.1 m, while the right moves toward x = 0.3 m at that Y coordinate. Their separation would be about 0.3 m, with each gripper about 0.1 m wide. The left path passes near the white basket and the tall elephant toy at approximately x = -0.3 m, y = -0.06 m. At link6 z = 1.07 m, the held toy’s bottom would be near z = 0.91 m, above the elephant’s estimated top at z = 0.87 m. On the right path, the black watch at x = 0.11 m, y = -0.13 m lies below; the held bar’s bottom near z = 0.9 m should clear it. I will choose the safer staged route: lift both arms straight to z = 1.08 m at their current X and Y coordinates, keeping both grasps closed and orientations steady, then move horizontally. I am considering 6 control steps for this lift. Afterward, I will inspect the observation to verify that both objects are still held.

After 7 steps, the grippers are only at about z = 1.03 m, having moved upward approximately 0.077 m, and have not reached the target height of 1.08 m. Perhaps another 5 steps will complete the lift. In the overhead view, does the brown toy now hang sideways? It seems it may have rotated 90 degrees and be held with its head down, but its body looks unchanged in the wrist view. The grasp appears stable. I’ll continue the vertical lift for 5 steps.

I can now transport the objects horizontally. The left arm’s destination above the blue basket is x = 0 m, y = 0.10 m, with link6 at z = 1.08 m. I estimate the direct move as 0.397 m, exceeding the 0.25 m command limit. I’ll use an intermediate target of (-0.12, -0.055, 1.08) m, with horizontal changes of (0.129, 0.172) m and an estimated distance of 0.215 m. For the right arm, the destination is x = 0.30 m, y = 0.10 m. The horizontal changes are (0.076, 0.301) m, giving an estimated distance of 0.31 m, also above the 0.25 m limit. I’ll use an intermediate target of (0.27, 0.025, 1.08) m, estimating that move as 0.226 m. I’m considering 8–10 control steps. At the left intermediate target, the held toy’s bottom should be around z = 0.92 m. I am still uncertain about the tall elephant’s height, but it remains near x = -0.30 m, y = -0.06 m, away from this path, so I expect no interference. The right intermediate target at y = 0.025 m is near the red basket’s front rim, which may be around y = 0 m. The held bar’s bottom should be at z = 0.92 m, above the estimated rim height of z = 0.84 m, so I expect clearance. I’ll use 10 steps.

The right-arm precheck stalled with a position error of about 36 mm. The target at x = 0.27 m, y = 0.025 m may still be reachable, but could the current joints be near a singularity because of the orientation? The left precheck presumably passed, but neither arm moved. I need a smaller or different intermediate waypoint. The right link6 is currently at (0.224, -0.201, 1.078) m. I could try a nearer Y target of -0.03 m or 0 m while retaining z = 1.08 m. A target of (0.25, -0.02, 1.08) m would be about 0.18 m away; would that pass? Why did the search stall at y = 0.025 m? Perhaps the arm is nearly fully extended forward. The initial end-effector Y coordinate was about -0.35 m, and the basket at y = 0.1 m requires about 0.45 m of forward reach, which seems typical. However, at z = 1.08 m with the gripper pointing vertically down, the arm may be near its forward reach limit. Where is the current link relative to the base? If the base is at y = -0.5 m, reaching y = 0.1 m would require about 0.6 m, perhaps near the maximum. The baskets still need to be reachable for placement, so lowering the arm or changing its orientation may help. The failed target at y = 0.025 m and z = 1.08 m may be too high and too far forward for the local IK search. I could lower link6 to z = 1.03 m or 1.0 m while over the basket. With the held bar’s bottom about 0.15 m below link6, a link height of 1.0 m would put the bottom at z = 0.85 m, above a rim that may be at z = 0.82 m. A transport height of 1.03 m is another possibility. From the current height of 1.078 m, I could check a right target of (0.25, -0.03, 1.03) m. The left arm may need a similar adjustment later when approaching the blue basket. The basket centers at approximately y = 0.09 m might be reachable with link6 at z = 0.98 m. For this attempt, I’ll use a raised right-arm path at z = 1.04 m instead of 1.08 m. I estimate the bar’s bottom would be at z = 0.88 m, above the estimated rim height of 0.84 m, and the brown toy’s bottom may be at z = 0.90 m. I’ll try the right waypoint (0.25, -0.03, 1.04) m and the left waypoint (-0.12, -0.055, 1.06) m. The right move is about 0.18 m, within the 0.25 m command bound.

Both arms moved only partway, and the left arm has not reached its target. The right gripper is above the red basket’s front rim at approximately world y = -0.08 m. Is the held bar still in front of the basket, or already inside its front edge? In the overhead view, I estimate the right gripper at pixel (460, 190) and the bar at (450, 207). The red basket spans approximately x = 385–510 and y = 140–212 pixels. The bar appears near pixel y = 208 at the front rim, so it needs about +0.1 m of motion along world Y toward the center. The left toy appears near overhead pixel (193, 220), in front of the white basket, and needs to reach the blue basket near world x = 0 m, y = 0.1 m. Could the right arm now reach (0.27, 0.04, 1.02) m, lowering it by 0.027 m? The earlier precheck failed at (0.27, 0.025, 1.08) m, which I suspect was too high. Its current measured position is (0.244, -0.081, 1.047) m. Another possible target is (0.28, 0.08, 1.02) m, with an estimated distance of 0.166 m, which seems likely to be feasible. For the left arm, moving directly from (-0.175, -0.131, 1.062) m to (0, 0.08, 1.04) m would require about 0.276 m, exceeding the 0.25 m command limit. I could use (-0.07, 0, 1.05) m as an intermediate target, estimating its distance as 0.192 m. The direct destination distance is sqrt(0.175² + 0.211² + 0.022²) = approximately 0.275 m, so I will instead use the intermediate target (-0.06, -0.005, 1.05) m, estimated at 0.168 m away. Later, the left arm can continue to (0, 0.08, 1.04) m. A possible right destination is (0.31, 0.08, 1.02) m, estimated at 0.177 m away. Perhaps the basket center is at x = 0.32 m, though its overhead center at pixel (449, 177) corresponds to approximately x = 0.30 m. I’ll choose (0.31, 0.07, 1.02) m. I expect the left toy to clear the white basket rim as it passes, with its bottom around z = 0.89 m and the rim around z = 0.84 m. I’ll use 10 control steps, targeting (-0.06, -0.005, 1.05) m on the left and (0.31, 0.07, 1.02) m on the right.

Both arms failed the forward targets. Perhaps the basket positions near y = 0.1 m are at the arms’ reach limits with downward-pointing wrists. I may need to tilt the grippers or place the objects in the front parts of the baskets, near y = -0.02 m. The instruction only requires putting the objects inside; if the centers are unreachable, a supported placement near the front, perhaps with the object center at y = -0.01 m, should suffice. The basket fronts appear near vertical pixel coordinate 212 in the overhead view. What world Y coordinate does that represent? Taking the front bottom at v = 210 pixels and assuming z = 0.77 m, I initially estimate y = -0.017 m. The normalized image coordinate is -30/288 = -0.10417. At this height, y_camera = -0.866y - 0.385 + 0.29893 = -0.866y - 0.08607, and z_camera = 0.5y - 0.6668 + 1.3378 = 0.5y + 0.6710. Thus -0.866y - 0.0861 = -0.05208y - 0.0699, giving -0.8139y = 0.0162 and y = -0.0199 m. My working estimate for the front bottom is therefore y = -0.02 m. The back bottom at v = 145 pixels may be near y = 0.16 m, with the basket center near y = 0.07 m. The right gripper is currently at y = -0.081 m, so its object axis is about 0.06 m in front of the basket. Reaching y = -0.005 m might be enough to put the object inside near the front, and a target at y = 0 m, z = 1.0 m should be reachable. The failed right target was (0.31, 0.07, 1.02) m, with a precheck position error of about 44 mm. Perhaps the best achievable Y coordinate was around 0.026 m, but that error could also reflect a combination of X and Z errors. I should try a smaller step, perhaps toward y = -0.03 m at z = 1.03 m. From the current right pose of (0.244, -0.081, 1.047) m, a target of (0.28, -0.025, 1.03) m would be an estimated 0.067 m away and would likely pass. For the left arm, currently at (-0.175, -0.131, 1.062) m, I could try (-0.10, -0.05, 1.04) m, estimating the distance as 0.11 m. Smaller waypoints may help the local IK converge in this constrained workspace, even for moves around 0.1 m. The exact downward orientation may also constrain reach. At y = 0.07 m, I could consider tilting the gripper forward so local X points along [0, 0.2, -0.98], though I am unsure whether that would help. Another possibility is releasing from above the basket’s front with a slight forward toss, but I prefer a directly reachable placement. I can test smaller targets through the precheck without spending control steps if they are rejected, and I do not need to ask the user. For this action, I’ll choose (-0.12, -0.07, 1.04) m for the left arm and (0.27, -0.04, 1.03) m for the right. I estimate both displacements as less than 0.08 m. I’ll keep both grippers closed and use 6 control steps.

The right link6 is now at x = 0.27 m, y = -0.04 m, and I estimate the red basket’s front edge at y = -0.02 m. The bar is held below the fingers, but I am unsure how it extends relative to the link frame. Does its long axis lie along local Z? Its world-plane direction may be [0.7, -0.7]. What is local Z at the -45-degree orientation? I need to determine the held bar’s center relative to link6. I initially centered the bar at link6 x = 0.223 m, y = -0.198 m, but was the grasp point actually at its middle? After the lift, the bar appears centered at wrist-image x = 320 pixels, extending from y = 30 to y = 410 pixels. I closed around y = 220 pixels, whereas the fingers now appear to contact it around y = 270 pixels, in its lower half. The grasp point may therefore be about 50 pixels from the bar’s center, perhaps an offset of 0.015. I am also unsure where the gripper axis projects at the bar’s height. In the overhead view, the held bar appears near pixel (454, 190), above the red basket’s front and probably inside its front edge. I should move it forward about 0.05 m in Y, toward y = 0.01 m. The next right-arm target can be (0.29, 0.005, 1.01) m; I estimate its distance as 0.063 m and expect it will likely pass the precheck. The left link6 is at x = -0.133 m, y = -0.086 m. The toy appears near overhead pixel (240, 205), possibly above the gap between the white and blue baskets. The blue basket spans approximately x = 265–375 and y = 140–212 pixels, so the toy is still to its left. I should move toward x = 0 m, y = 0 m. For now, I’ll use the left target (-0.065, -0.02, 1.02) m, estimating a displacement of 0.095 m and expecting it will likely pass. A later left target might be (0, 0.02, 1.0) m. I’ll use a shorter action of 6 control steps.

Only the left arm failed the precheck, so the right waypoint is likely feasible. The left target at (-0.065, -0.02, 1.02) m came close, with a position error of about 17 mm. I could try a smaller left-arm move or change its orientation. I’ll try (-0.075, -0.03, 1.03) m as a less forward, lower waypoint, keep the right target unchanged, and use 6 control steps.

The left arm failed again. Moving its X coordinate toward the center with the wrist pointing down may be taking the local IK search across joint limits as the arm reaches medially. I may need to rotate the wrist’s yaw or change the elbow configuration through an intermediate orientation. The left arm’s base is at approximately x = -0.3 m, so reaching x = 0 m, y = 0 m requires a substantial reach across the workspace. Reaching the basket center at x = 0 m involves about 0.3 m horizontally plus 0.4 m along Y, perhaps near maximum reach. I could tilt the gripper or place the toy near the blue basket’s front-left area at x = -0.06 m, y = -0.02 m, but the earlier attempt failed with about 17 mm of position error. A slight orientation change might make it feasible. The toy is currently near x = -0.133 m, y = -0.086 m. Does the blue basket span approximately x = -0.11 to +0.11 m at its rim, corresponding to overhead pixels 265–375? If so, x = -0.133 m is just outside its left edge, and x = -0.08 m should be far enough inward. The target (-0.075, -0.03, 1.03) m came close, with about 10 mm of best precheck position error. A smaller target of (-0.09, -0.05, 1.035) m would likely pass. Releasing at x = -0.09 m, y = -0.05 m might let the toy’s shape extend about 0.05 m into the basket, but its center would be near the front-left rim, risking a landing on the rim. Changing the orientation could extend the toy farther inward. The gripper’s local X axis currently points along [0, 0, -1]. Tilting it toward world +Y would make the fingers extend forward and downward, moving the held toy’s center ahead of link6 without moving link6 forward. For this placement orientation, local X would be [0, sin(theta), -cos(theta)], while the closing direction, local Y, would remain along world -X. Applying a positive rotation about world X to [0, 0, -1] gives [0, sin(theta), -cos(theta)], so the rotation would be R_new = Rx(theta) × R_down and the quaternion would be q_new = q_Rx(theta) × q_down. The orientation change would be theta, below 1 rad. A +20-degree tilt, or 0.349 rad, could shift the fingers and held toy about +0.05 m along Y while link6 stays at y = -0.086 m. That would leave X unchanged at -0.133 m, though, still to the left of the basket, so I would need to move toward x = -0.08 m or also tilt toward +X. A positive world-Y rotation applied to the downward axis gives [-sin(phi), 0, -cos(phi)], extending toward negative X. To extend toward +X, I need Ry(-phi), which gives [sin(phi), 0, -cos(phi)]. Combining forward and rightward tilts could bring the toy inside while link6 remains at its current X and Y coordinates. The toy may tilt and fall after release, but the container task permits any orientation. I still need to keep its bottom high enough to clear the rim. I could rotate in clear space at link6 z = 1.04 m, with the held object’s bottom perhaps at z = 0.87 m. The horizontal and vertical shifts depend on its position relative to the gripper. If the body center is about -0.12 m along local X, I estimate that an axis with positive sin(phi) and sin(theta) horizontal components and a negative cosine vertical component would shift its center about +0.04 m in X and +0.04 m in Y, with Z unchanged. That would put the center near x = -0.09 m, y = -0.04 m, perhaps sufficiently inside at the front-left. However, the front interior may start at y = -0.02 m, so y = -0.04 m could still be over the rim. With theta = 30 degrees, I estimate a +0.06 m Y shift to y = -0.026 m. With phi = 30 degrees, I estimate a +0.06 m X shift to x = -0.073 m. Keeping link6 fixed, would the object’s bottom rise? Changing the local-X vertical component from -1 to -0.866 would make the center about 0.016 m higher, which seems safe. The fingertips might rise from z = 1.042 - 0.157 = 0.884 m to z = 1.042 - 0.136 = 0.906 m, maintaining clearance. I could therefore tilt 30 degrees forward and rightward, then release above the basket interior. The object may swing under gravity while held, but the grasp appears stable; I expect it to drop about 0.06 m into the basket on release. This seems robust. The right wrist could also tilt forward to extend the bar farther into its basket, but its position target appears feasible. I’ll first make progress with the right arm alone while holding the left at its current pose. Since only the left target failed the previous precheck, the right target should pass. I’ll keep both grippers closed, hold the left at (-0.133, -0.086, 1.042) m, and move the right to (0.29, 0.005, 1.01) m for 6 control steps. Then I can tilt the left wrist separately.

The right chocolate bar is over the red basket’s interior, so I think I can release it now. The right link6 height is 1.009 m; I estimate the bar’s bottom at about 0.85 m and the rim at 0.83 m, leaving a drop of a few centimeters. The red basket’s bottom appears behind the bar in the wrist view. I’ll open the right gripper for 3 steps and then verify the placement, initially keeping the left arm steady. Could I tilt the left wrist while the right gripper opens? These actions could be combined, but I first need to calculate the left orientation and ensure its swept path is clear. Three steps might not complete the tilt, but could safely begin it. I’m considering a forward and rightward tilt of 25–30 degrees, with the left link6 position unchanged. The order of the world-frame rotations matters. I’ll consider Ry(-25 degrees) × Rx(25 degrees), applied to the downward orientation. More generally, applying Ry(-phi) × Rx(theta) to the downward local-X axis first gives [0, sin(theta), -cos(theta)] after Rx(theta). The standard Ry(alpha) matrix is [[cos(alpha), 0, sin(alpha)], [0, 1, 0], [-sin(alpha), 0, cos(alpha)]]. For alpha = -phi, this becomes [[cos(phi), 0, -sin(phi)], [0, 1, 0], [sin(phi), 0, cos(phi)]]. The resulting local-X direction is [sin(phi) cos(theta), sin(theta), -cos(phi) cos(theta)], with positive X and Y components and unit norm. I’ll compose the new orientation as Ry(-25 degrees) × Rx(25 degrees) × the downward orientation. I estimate the whole orientation change from downward at about 35 degrees, or 0.61 rad, below the 1.0 rad command limit. The local-Y direction will change slightly, but the grasp appears stable. I expect the held toy to shift roughly 0.05 m toward +X and +Y while link6 stays at the same position. I’ll calculate the quaternion, the resulting local-X direction, and the orientation distance before commanding the motion.

The 25-degree forward and rightward tilt gives a local-X direction of [+0.383, +0.423, -0.821]. Assuming the toy’s center is 0.12 m from link6 along that direction, I estimate shifts of +0.046 m in X and +0.051 m in Y, putting its center at x = -0.087 m, y = -0.035 m. The blue basket’s front-left interior boundary may be around x = -0.11 m and y = -0.02 m. That would leave the center slightly outside the front, though perhaps the toy’s shape extends farther toward +Y. I am unsure how its held head and legs affect that clearance. I could tilt farther forward, using theta = 35 degrees and phi = 25 degrees to the right. The resulting local-X direction would be [sin(25°) cos(35°), sin(35°), -cos(25°) cos(35°)], approximately [+0.346, +0.574, -0.742]. With an assumed offset of 0.15 m along local X, I estimate shifts of +0.052 m in X and +0.086 m in Y. Keeping link6 at y = -0.086 m would then put the toy’s center near y = 0.0 m and x = -0.081 m. That seems just inside the front rim at y = -0.02 m and inside the left wall, whose inner boundary may be around x = -0.10 m. I’ll choose the 35-degree forward and 25-degree rightward tilt. I estimate the whole orientation change from downward as about 42 degrees, or 0.73 rad; using the quaternion dot product, perhaps about 0.732 rad. This is below the 1.0 rad command limit. The precheck might pass at the current position because changing orientation could ease the reach constraint without translating link6. I could rotate the left wrist while releasing the right bar. First, I’ll calculate the quaternion.

I could use 6 control steps to tilt the left wrist while opening the right gripper, but if the left arm fails the precheck, the right gripper will not open either. It is better to release the right bar first over 3 control steps while holding the left arm steady with its gripper closed, then tilt the left wrist separately. I have plenty of control steps remaining.

The right chocolate bar may be resting on the front rim. In the wrist view, the red basket’s bottom appears toward the top, and what looks like the wooden table is visible at the lower left. The bar appears vertical near the image center, with its bottom around y = 330 pixels. Is that bottom inside the red interior, and does the front wall cross behind it? The overhead view places the bar near pixel (453, 187), apparently inside the red basket. Red fills most of the wrist-view background, with the front rim running diagonally near the bottom. The table visible at the lower left seems consistent with the camera looking down and backward. The bar’s bottom appears near the front wall but within the basket, so it is likely contained. I’ll verify that after withdrawing the gripper. I’ll now tilt the left wrist to the previously calculated orientation while keeping the brown toy grasped. I’ll use 6 control steps and hold the right arm at its current position with its gripper open.

The left orientation initially looks odd: the measured quaternion is [0.563, -0.494, 0.411, 0.520] in wxyz order, compared with the downward quaternion [0.5, -0.5, 0.5, 0.5] and the target [0.683, -0.4545, 0.183, 0.5417]. Is it moving toward the target? The y component has decreased from 0.5 to 0.411 and w has increased to 0.563, so this does look like partial progress. Could local X be tilted forward and left? I should compute its current direction; it might be approximately [0.15, 0.3, -0.94]. In the overhead view, the toy has shifted right to approximately pixel (250, 190), over the blue basket’s front-left area. The released bar has shifted within the red basket as it settles and now appears diagonal and centered. I’ll continue toward the same left orientation target for 8 control steps while holding the right arm steady.

In the overhead view, the toy appears near pixel (264, 176), with the blue basket’s left edge at x = 260 pixels. Could it be over the left rim? The wrist view shows the basket interior behind the toy and the front wall around y = 270 pixels, while the toy spans roughly y = 200–480 pixels. Does that mean it is still in front of the wall? The camera orientation has changed with the gripper, so the toy stays fixed relative to the camera while the background moves. The basket bottom occupies roughly y = 0–260 pixels, with the front-wall line near y = 260 pixels. The toy overlaps the front edge in projection, but it could be above it. I estimate the toy’s overhead center at (264, 177) pixels and the basket bounds at x = 260–377, y = 140–213 pixels. Its center is only 4 pixels inside the left edge, although its Y coordinate is within the basket. Part of its body extends outside to the left, so releasing now could let it fall outside. It needs more clearance to the right. I could increase the rightward tilt, perhaps to phi = 35 degrees, but I am unsure of the current actual angle. The left wrist has not yet reached the target quaternion, approximately [0.683, -0.454, 0.183, 0.542] in wxyz order; its measured quaternion is [0.632, -0.478, 0.291, 0.536]. I could calculate the current local-X direction. Simply completing the existing target may shift the toy another approximately +0.02 m in X and +0.02 m in Y. I’ll continue toward that target for 6 control steps. Its overhead center might then be near (280, 160) pixels, farther inside the basket.

In the overhead view, the brown toy is near pixel (270, 162), inside the blue basket near its left side. In the wrist view, the blue basket fills the background, its front-wall line is around y = 330 pixels, and the contact point on the toy is around y = 270 pixels. The toy is likely above the interior, so I think I can release it. What is the toy’s bottom height? Link6 is at z = 1.044 m, and I estimate its local-X direction as [0.32, 0.54, -0.77]. If the toy’s bottom is about 0.17 m along that direction from link6, its vertical offset is approximately 0.17 × -0.77 = -0.13 m, putting it at z = 0.914 m. The rim is around z = 0.83 m, giving an estimated drop of 0.08 m. That seems acceptable. After release, the toy might land inside at approximately x = -0.05 m, y = 0.0 m. I’ll open the left gripper over 3 control steps while holding the right arm steady, then inspect where the toy settles.

The brown toy has dropped into the blue basket, but it may be standing or leaning against the left or front wall. In the overhead view, it appears near pixel (275, 177), within the basket contour. It looks large at the bottom of the wrist view and may be lying against the front wall. It is likely contained, but I should withdraw the left gripper to check its stability. I should also withdraw the right gripper into clear space before moving to the next objects. Five objects remain: the tall light wooden elephant near x = -0.30 m, y = -0.06 m; the yellow toy near x = -0.1 m, y = -0.20 m; the Snickers bar near x = 0.02 m, y = -0.17 m; and two watches near (-0.08, -0.1) m and (0.11, -0.13) m in the table plane. That is two wooden toys, one chocolate bar, and two watches. The remaining 941 control steps should be enough. I can next use the left arm for the tall elephant and the right arm for the Snickers bar, then place them in the blue and red baskets. Afterward, perhaps the left arm can handle the yellow toy and the first watch, while the right handles the second watch. These next grasps could proceed in parallel along raised, independent paths. The left link6 is currently at (-0.131, -0.081, 1.044) m with a tilted wrist near the basket. It needs to return to the top-down orientation and move toward the elephant, perhaps at z = 1.05 m. Its gripper is open and holds nothing, but its path must clear the brown toy and the white basket. Using a finger extent of 0.157 m along the tilted local-X direction [0.346, 0.574, -0.742], I estimate the fingertip position as (-0.076, 0.009, 0.927) m, above the white and blue rims at about z = 0.84 m. Returning to the downward orientation at the current link6 position would put the tips near (-0.131, -0.081, 0.886) m, above the brown toy, whose top may be around z = 0.85 m. That initially seems clear. The right link6 is at (0.29, 0.001, 1.009) m, with the open gripper rotated -45 degrees about local X relative to the downward orientation. It needs to move toward the Snickers bar at x = 0.02 m, y = -0.17 m and align across its long axis appropriately. I initially considered moving it toward the bar at z = 1.0 m while rotating the left wrist back down. However, the right fingertips are near z = 0.851 m, only about 0.02 m above the red rim, which may be at z = 0.83 m. Moving horizontally out of the basket could therefore collide with the rim. I should first lift the right link6 to z = 1.08 m at its current X and Y coordinates, allowing 5 steps. I also considered rotating the left wrist downward at its current position over 6 steps; the orientation difference is about 0.747 rad, below the 1.0 rad command limit, before moving it toward the elephant and allowing the right arm to travel. On reconsideration, rotating the left wrist immediately could bump the released toy. In obs_000159, the toy occupies roughly x = 150–310 and y = 220–480 pixels in the left wrist view. The open left fingertip appears near (140, 260) pixels and the right fingertip near (480, 260) pixels. One finger may still be close to the toy, though I am unsure whether it is touching. Rotation would shift the fingers and might push the toy farther into the basket, but I should avoid that contact. It is better to lift the left arm straight upward with its current tilted orientation to z = 1.10 m, a target increase of 0.056 m, before rotating. Would the fingertips also move forward in Y? The link translation itself is vertical and should provide clearance. I will lift both open grippers for 5 steps, targeting z = 1.10 m on the left and z = 1.08 m on the right, with their X and Y coordinates and orientations held steady. Then I can inspect the toy’s stability and rotate the left wrist at the higher position.

The right arm’s straight lift failed at its forward reach. I can try retracting it slightly along Y while lifting. One possible target is (0.28, -0.03, 1.06) m, with an estimated displacement of 0.061 m. The left target at z = 1.1 m may have passed the precheck. I’ll instead try the right target (0.28, -0.04, 1.06) m, retreating 0.041 m along Y and rising 0.051 m, for an estimated total displacement of 0.065 m. I’ll retain the left lift target and use 5 control steps.

The brown toy is now visible lying horizontally near the left/front of the blue basket, supported inside it. The first two objects are sorted. Next I’ll use the left arm for the tall light wooden toy standing in front of the white basket. I estimate its position at x = -0.30 m, y = -0.06 m and its height at about 0.1 m. It appears near overhead pixel (185, 229), but its top height is uncertain; I can triangulate it with a wrist view later. My initial base-position estimate is (-0.30, -0.07, 0.76) m, with the top perhaps at z = 0.87 m. Is it an elephant? Near pixel (185, 225), it looks like a yellow elephant standing vertically, or perhaps a toy giraffe. Either way, I identify it as a wooden toy. I should grasp a stable part of its body or neck, perhaps the torso around z = 0.80 m, with the gripper centered at x = -0.30 m, y = -0.075 m. I estimate its width along X and depth along Y at about 0.04 m each. It could tip if the gripper collides with it, so I’ll approach from above with the fingers open and close across the body along world X. A final link6 height of 0.923 m would put the fingertips around z = 0.765 m, with the pads reaching to about z = 0.86 m, which should allow body contact. The white basket is behind it at approximately y = +0.09 m. Do the open fingers extend downward and along local Z? Their geometry is in local X and Y, and I expect no basket collision with the grasp centered at y = -0.075 m. The left wrist is currently tilted. I can first rotate it downward at its measured height of z = 1.094 m, then move toward (-0.30, -0.075, 1.02) m. From its current horizontal position of (-0.132, -0.082) m, I estimate a horizontal displacement of 0.169 m and a Z change of -0.074 m, giving a total distance of 0.184 m, below the 0.25 m command limit. That move may be feasible after the rotation. The right arm will approach the Snickers bar near x = 0.02 m, y = -0.17 m, with an initial link6 target height of 1.0 m and an appropriate grasp orientation. Moving directly from its current pose at (0.28, -0.04, 1.06) m to (0.02, -0.17, 1.0) m would require an estimated 0.294 m displacement, exceeding the 0.25 m limit. I’ll use an intermediate waypoint of (0.12, -0.13, 1.03) m, estimated to be 0.193 m away. The Snickers bar’s long axis runs from overhead pixel (306, 264) at the upper left to (354, 279) at the lower right, suggesting a world direction toward +X and slightly toward -Y, at about -20 degrees. The right gripper is currently rotated -45 degrees about local X relative to the downward orientation. Is its closing direction perpendicular to a bar at -45 degrees? For the previous white bar, whose long-axis angle was about -35 degrees, this gripper orientation made the bar appear vertical in the wrist view. For the Snickers bar, an ideal local-X rotation might be about -70 degrees. Using the earlier expression for the closing direction, local Y = [-cos(alpha), sin(alpha)], and an estimated bar direction of [0.958, -0.287] with a Y-to-X magnitude ratio of 0.3, I want a perpendicular closing direction of [-0.287, -0.958], or its opposite. This gives cos(alpha) = 0.287 and sin(alpha) = -0.958, suggesting alpha = -73.3 degrees. From the current -45-degree orientation, that would require roughly another -28 degrees, for a total near -73 degrees. I’ll use -70 degrees instead, with an estimated orientation change of 0.436 rad from -45 degrees. I can rotate the right wrist while moving toward its intermediate waypoint and rotate the left wrist downward while holding its position. I estimate the left orientation change at 0.747 rad and the right at 0.436 rad, both below the 1.0 rad limit. I’m considering 10 control steps, though the right arm may only move partway. First I’ll calculate the right gripper’s quaternion for the -70-degree local-X rotation.

I’ll rotate the left wrist back to the downward orientation while holding its current link6 position at (-0.132, -0.082, 1.094) m. At the same time, I’ll move the right gripper toward the Snickers bar through the waypoint (0.12, -0.13, 1.03) m, using the calculated orientation with a -70-degree rotation about local X relative to the downward orientation. I’ll keep both grippers open and use 10 control steps.

The left wrist has again completed only part of its rotation toward the downward orientation; perhaps another 6 steps will finish it. The right gripper has reached its desired orientation and is now at (0.15, -0.111, 1.038) m. Its -70-degree rotation about local X relative to the downward orientation has changed the camera view. The Snickers bar is only partly visible at the top left, with the black watch near the top center. I should move the right gripper above the bar at x = 0.02 m, y = -0.172 m, with link6 at z = 1.0 m. The horizontal change is (-0.13, -0.061) m, which I estimate as 0.144 m. The precheck may pass. Could I finish the left wrist rotation and move it toward the elephant in the same action? I estimate the remaining orientation distance to downward as about 0.55 rad, below the 1.0 rad limit. A position target of (-0.30, -0.07, 1.02) m would be about 0.187 m away. However, combining rotation and translation might fail the precheck, and the white basket is nearby, although the open fingers are high. I would rather finish the rotation at the current position before translating. I’ll use 8 control steps to finish the left wrist rotation while moving the right gripper above the bar. The left link6 will stay at (-0.133, -0.084, 1.091) m with the downward quaternion [0.5, -0.5, 0.5, 0.5] in wxyz order. The right target will be (0.02, -0.172, 1.0) m, retaining the -70-degree grasp orientation. I estimate that move as 0.178 m, below the 0.25 m command limit. Both grippers will remain open.

The Snickers bar spans approximately x = 240–330 and y = 0–260 pixels in the right wrist view, with its long axis vertical, which looks suitable for the grasp. The gripper axis at the bar’s height should project at image x = 320 pixels, but I am unsure of its image y coordinate. The bar’s center appears near image x = 280 pixels, suggesting its world x coordinate may be about 0.012 m. The right link6 is currently at x = 0.032 m and y = -0.167 m, short of the target at x = 0.02 m and y = -0.172 m. The earlier overhead estimate placed the Snickers bar at (0.019, -0.172, 0.76) m. The current target therefore looks appropriate, and the remaining offset explains why the bar appears left and above the grasp axis. Perhaps 3 more steps will finish the alignment. The left wrist’s measured quaternion is [0.537, -0.497, 0.45, 0.512] in wxyz order, near the downward orientation with about 0.1 rad remaining. I’ll use 3 steps to finish that rotation at its current position while aligning the right gripper at (0.019, -0.172, 1.0) m. Afterward, I can move the left arm toward the elephant and descend the right arm toward the bar.

The left wrist is almost pointing downward. The Snickers bar’s center appears at image x = 310 pixels, close to the gripper axis at x = 320 pixels, so the right alignment looks good. I initially plan to lower the right link6 to z = 0.923 m and move the left above the elephant at (-0.30, -0.075, 1.0) m. From the measured left pose of (-0.135, -0.089, 1.086) m, I estimate that move as 0.188 m, within the command limit, and the precheck will likely pass. Would the left path pass over the white basket? Its front rim may be near y = 0 m, while the target y = -0.075 m is in front of it, so I expect clearance. At a link6 height of 1.0 m, the downward fingertips would reach z = 0.842 m. The elephant’s top may be at z = 0.86 m, so a horizontal approach could contact its head. The object’s estimated width along X is 0.05 m, compared with an open finger gap of about 0.11 m, so it should fit between the fingers. Still, I’ll use a left link6 target height of 1.02 m instead, putting the tips at z = 0.862 m, then align before descending. I estimate this revised move as 0.169 m. I considered 8 steps for the left move and 3 for the right descent, but both arms share the action’s step count. With 8 steps and a right target of z = 0.923 m, the right fingers might reach the table early and hold there while the left moves; closure would wait until the next action. An intermediate right target of z = 0.96 m would involve only a 0.04 m descent and might be reached in 3 steps before holding, but an 8-step action would still conflict with the short-step requirement near the final approach. I’ll therefore use 3 steps for both arms, accepting that the left may move only partway, then inspect and continue it if needed. Both grippers will remain open. The left target is (-0.30, -0.075, 1.02) m with the downward orientation, and the right target is (0.019, -0.172, 0.96) m with its existing -70-degree local-X rotation relative to the downward orientation.

The left arm moved only about 0.034 m and will need several more actions to reach its target, perhaps 4 iterations. The right link6 is at z = 0.965 m; I’ll continue its descent toward z = 0.93 m over 3 control steps while the left arm continues toward the same target. There are 912 control steps remaining, which should be ample. I could give the left arm 8 steps while holding the right at z = 0.965 m, but the right descent needs short actions. Instead, I’ll use 3 steps for both arms now, then close the right gripper while continuing the left arm’s approach.

The Snickers bar is centered within the open fingers’ X-direction gap. I could close the right gripper now at link6 z = 0.932 m: I estimate the fingertips at z = 0.774 m and the bar’s top at z = 0.77 m, so the pads might make enough contact. However, the first bar was grasped at link6 z = 0.923 m, so I would rather lower to that height before closing. The remaining descent is 9 mm and may take only 1 control step, while I want the left arm to continue toward the wooden toy for 3 steps. Both arms must share the same step count, so I’ll use 3 steps with both grippers open. I expect the right arm to reach z = 0.923 m in about 1 step and then hold while the left continues. On the next action, I can close the right gripper and continue the left approach.

The object I had described as tall looks different in the closer left wrist view. At approximately pixel (230, 170), it appears to be a standing carved elephant, perhaps a lighter version of the brown toy. The overhead view still shows it as a small, tall object near pixel (185, 230), while the brown toy remains in the blue basket near pixel (275, 180). This may be another carved elephant whose body and head are clearer from above; its upright stance may explain why it looked tall from farther away. I tentatively think the three wooden toys are elephants, though the small yellow one might be a lion and the brown one may be lying down. The left alignment target is x = -0.30 m, y = -0.075 m, while its measured position is x = -0.247 m, y = -0.076 m. The object appears left of center at image x = 230 pixels, so moving 0.053 m left toward x = -0.30 m should center it horizontally. Its image extent is roughly y = 70–270 pixels, with a center near y = 170 pixels. I am still unsure about the Y alignment: where would the gripper axis project at an estimated body-top height of z = 0.82 m with link6 at z = 1.045 m? I would need to project that point to check. The target x = -0.30 m, y = -0.075 m should center the grasp. I’ll continue the left approach for 3 steps while closing the right gripper around the Snickers bar.

I’ve prepared enlarged crops of the remaining carved elephant. I’ll inspect the overhead crop to clarify its shape and body position before choosing the grasp contact point.

The elephant appears to be standing upright on its legs, with a carved body top, its head lower toward the camera, and its feet at the bottom of the image. I estimate the body top at pixel (200, 190) in the enlarged overhead crop. With crop origin (150, 190) and scale factor 8, that would correspond to approximately (175, 213.75) in the original image, or a rounded body-top center of (175, 214). The carved body’s center appears near pixel (360, 190) in the left wrist image. The corresponding body-top center in the overhead image may instead be near (180, 215). I’ll triangulate using the tentative correspondence between overhead pixel (180, 215) and wrist pixel (360, 190).

The triangulation estimates the elephant’s body top at (-0.2865, -0.0712, 0.8233) m, so I should center the grasp at x = -0.2865 m and y = -0.0712 m. The current left axis is at x = -0.299 m, y = -0.075 m, requiring a small correction of +0.0125 m in X and about +0.004 m in Y. The head is near x = -0.268 m, y = -0.104 m, so the long axis runs diagonally toward +X and -Y, with the head toward the front and right. I should grasp the body rather than the head. Closing along local Y, currently world -X, seems suitable across the body at y = -0.071 m; its X width may be about 0.04 m. I initially plan to align the left link6 at (-0.286, -0.071, 1.02) m, then descend to z = 0.923 m. At the current link6 height of 1.021 m, I estimate the open fingertips at z = 0.863 m, about 0.04 m above the body top at z = 0.823 m. At link6 z = 0.923 m, the tips would be near z = 0.765 m, with the pads around the body. The standing object is about 0.08 m tall, with its top near z = 0.823 m and base near z = 0.765 m, so this approach seems suitable. The estimated 0.11 m open gap should accommodate a body width of about 0.05 m. I can test-lift the Snickers bar with the right arm at the same time. For this action, I’ll combine the roughly 0.013 m left alignment correction with a short descent to link6 z = 0.99 m, a decrease of 0.031 m. I’ll target (-0.286, -0.071, 0.99) m on the left with the gripper open and lift the closed right gripper to z = 0.958 m. I’ll use 3 control steps, keeping both orientations steady.

The Snickers bar stayed fixed relative to the right wrist camera during the test lift, confirming that it is held. The elephant’s body appears centered near image x = 330 pixels in the left wrist view. I’ll lower the left link6 first to z = 0.94 m, then to 0.923 m for closure. The right arm needs to rise toward z = 1.08 m for transport. I considered giving the left descent 3 steps and the right lift 6, but both arms share the same step count. An intermediate right target of z = 0.99 m allows both motions to proceed over 3 steps. Afterward, I plan to lower the left to 0.923 m and close its gripper while raising the right toward 1.06 m. The right link6 is currently at z = 0.956 m after the successful test lift, and I estimate that it needs another 0.12 m of clearance lift. I could allow 6 steps while lowering the left to 0.94 m, expecting the left to arrive in about 3 steps and then hold. That would include a roughly 0.05 m final approach on the left, perhaps completed within the first 3 steps. I prefer a separate short action: 3 steps with the left target at z = 0.94 m and the right target at z = 0.99 m, keeping the left gripper open and the right closed.

The left arm descended only 0.035 m in 3 control steps and has not reached the target link6 height of 0.94 m; its measured height is now 0.956 m. The elephant’s body fills the wrist view, and the open fingers straddle it. I’ll target the final left grasp height of 0.923 m over 3 steps. At the same time, I’ll raise the right arm holding the bar toward a link6 height of 1.03 m; perhaps 3 steps will suffice. I’ll use 3 steps for both arms.

The left wrist image is now entirely gray and black. Is the white basket occluding the camera, or are the fingers or elephant so close that they fill the view? At the left link6 height of 0.925 m, the camera looks toward -Y and downward, whereas the basket is behind the gripper toward +Y. The head view still shows the elephant standing between the fingers, but the camera might be pressed against it. With the downward orientation, I estimate the camera offset from link6 as (0, 0.051, -0.085) m, placing its center at (-0.286, -0.020, 0.840) m, with viewing direction [0, -0.496, -0.868]. The elephant’s body is near x = -0.286 m, y = -0.071 m, z = 0.823 m. I initially thought this put it behind the camera, but because the camera looks toward -Y, it is actually forward of the camera and 0.017 m lower, at a very close distance of about 0.053 m. The camera could be extremely close to, or even inside, the elephant. At link6 height 1.02 m, the camera height was approximately 0.935 m, giving 0.112 m of separation from the body at z = 0.823 m. Now the camera is only 0.017 m above the body top and horizontally offset by 0.051 m, so the object might fill the view. The gray image could instead be the white basket’s front wall. The estimated camera position at y = -0.020 m and z = 0.840 m coincides with the front rim: I estimate the wall at y = -0.02 m and z = 0.82–0.85 m. The +Y camera offset may therefore place it against or inside the basket wall. The head view also shows the left wrist near the basket, so contact is possible. This is a collision risk, and I should stop descending and reconsider the approach. The current link6 height of 0.925 m is stable; the fingers are at the object at y = -0.071 m, but the camera extends back toward +Y into the wall. One alternative is to tilt the gripper and camera, or rotate the grasp yaw 180 degrees about the vertical axis so the camera offset points toward -Y instead of +Y while maintaining suitable grasp geometry. However, the head view shows no obvious object disruption, and camera occlusion does not itself prove a gripper collision. I could close at the current pose based on the previously verified alignment, then lift carefully. The wrist camera may be contacting the fixed basket, though I am unsure whether that contact is harmful. Lifting should clear the wall and restore the view. Since the alignment was good before the final descent and the elephant remains upright between the open fingers, I’ll close the left gripper without descending further. I initially considered holding the right arm during 4 steps of left closure, followed by a 0.03 m left test lift. For the immediate action, I’ll instead continue raising the held bar on the right toward link6 z = 1.07 m while closing the left gripper at its current pose. I’ll use 4 control steps, then perform the left test lift afterward.

I’ll test the left grasp by lifting its link6 to z = 0.96 m over 3 control steps, while raising the right link6 to z = 1.08 m. Would a lift of about 0.03 m clear the left camera from the basket wall? I estimate the wall height at 0.84 m and the camera height after the lift at 0.87 m, so it should clear. I’ll use 3 steps for both arms.

The elephant stays fixed between the left fingers in the wrist view, which indicates that it is held. In the overhead view, it may now be tilted forward; its head still appears near pixel (180, 230), while its body may have lifted. The left gripper rose 0.033 m, and the feet seem to be off the table, though that is hard to judge from the overhead view. The left link6 is currently at (-0.286, -0.072, 0.958) m. I’ll lift it to z = 1.08 m before transporting the elephant to the blue basket, so the object clears the white basket’s front wall and rim. Since I grasped the body, I estimate that the feet are about 0.16 m below link6. Their current height may be z = 0.798 m, consistent with lifting the base from z = 0.765 m by 0.033 m. At link6 z = 1.08 m, the feet should be near z = 0.92 m, above the rim. The right arm is already at z = 1.076 m and can begin carrying the Snickers bar toward the red basket. From its current pose of (0.021, -0.174, 1.076) m, I first considered an intermediate target of (0.15, -0.06, 1.04) m, estimating the distance as 0.191 m and expecting the precheck to pass. The right arm previously reached the red basket near x = 0.29 m, y = 0 m, z = 1.01 m. Starting near x = 0.02 m, I need to avoid the blue basket and the left arm. The held bar is currently around x = 0.02 m, y = -0.174 m, z = 0.92 m. Its path should pass in front of the blue basket near y = -0.06 m, with its bottom around z = 0.88 m, above the estimated rim at z = 0.84 m. The left arm will be lifting near the white basket, leaving separation between the arms. I’ll use the right waypoint (0.16, -0.055, 1.04) m, estimating its displacement as 0.193 m, and lift the left link6 to z = 1.08 m. I’ll keep both grippers closed and their orientations steady for 7 control steps. The right precheck may pass. Afterward, I can move the left arm toward the blue basket through an intermediate pose such as (-0.18, -0.02, 1.06) m. Reaching from left x = -0.286 m toward the blue basket at x = 0 m will likely require the inward wrist tilt again; placing the bar in the red basket should be easier.

The elephant appears tilted or lying sideways in the overhead view, possibly with its legs off the table. The left link6 is currently at z = 1.037 m; I estimate the elephant’s body at pixel (155, 190) and its feet at (170, 210), perhaps above the front of the white basket. It is held and hanging downward. The right bar appears near pixel (360, 190), close to the fronts of the blue and red baskets. I’ll continue lifting the left link6 to z = 1.08 m and move the right arm from (0.11, -0.098, 1.054) m toward (0.27, -0.04, 1.03) m. I estimate the right target distance as 0.17 m and expect the precheck will likely pass. I considered 5 steps for the left lift and 10 for the right move, but both arms share the same step count, so I’ll use 8 steps. I expect the left arm to finish its lift in about 3 steps and then hold, while the right moves approximately 0.1 m. The navigation path appears clear.

The right bar may now be over the red basket’s front interior. Red fills the right side of the wrist view, and the held bar appears near the horizontal center toward the bottom. I’ll move the right link6 from its measured position of (0.237, -0.053, 1.035) m to the previously reachable position (0.29, 0.001, 1.01) m. I estimate that move as 0.077 m. For the left arm, the current link6 position is (-0.286, -0.076, 1.08) m. I first considered an intermediate target of (-0.20, -0.05, 1.06) m, about 0.09 m away, followed by the previously reached position (-0.133, -0.086, 1.042) m. Could I target that latter position directly? I estimate the direct move as about 0.154 m, or 0.153 m. I previously reached it from x = -0.175 m, y = -0.131 m, but approaching inward from the current position may produce a different precheck result. It would likely pass, though it could fail near the final pose. I would rather use an intermediate waypoint such as (-0.19, -0.07, 1.06) m before continuing to the known position. The tall elephant hangs downward above the white basket’s left edge, so moving inward toward x = -0.19 m will carry it across the basket. I estimate its feet at z = 1.08 - 0.16 = 0.92 m, above the rim, which should provide clearance. For this action, I’ll use the left intermediate target (-0.18, -0.06, 1.06) m and the right target (0.29, 0.001, 1.01) m, keeping both grasps closed and allowing 8 control steps.

The left gripper’s opening command dropped from 0.337 to 0.235 during transport, perhaps because closure is continuing. Has the held elephant shifted orientation? Its legs are now visible in the wrist view, and it appears to hang vertically downward. I briefly wondered whether its feet were at the top, but the legs seem to extend below the body. It still appears secure. I’ll release the Snickers bar from the right gripper and move the left arm to the known pre-tilt position of (-0.133, -0.086, 1.042) m. From its current position of (-0.18, -0.06, 1.059) m, I estimate this as a small move of about 0.054 m, so the precheck will likely pass. I’ll use 4 control steps, keeping the left grasp closed and opening the right gripper. Then I can tilt the left wrist inward as before. I need to account for the brown toy already in the blue basket. The elephant could land on top of it and remain contained, which would be acceptable. Can the basket fit all three toys? I estimate its size at about 0.22 × 0.18 m, with each elephant about 0.1 m and the yellow toy about 0.05 m, so I think it can. I initially considered placing the second toy near the left side, but the brown toy is already there; perhaps a placement toward the right would avoid stacking. Tilting inward from the left could put the elephant near x = -0.07 m, y = 0 m. Is the brown toy near x = -0.07 m, y = 0.06 m? It appears around overhead pixel (270, 170), left of the blue basket’s center at x = 320 pixels. That might correspond to x = -0.10 m, though the projection scale at an estimated rim height of z = 0.84 m is uncertain. With the basket-bottom center near pixel (320, 177), I instead estimate the brown toy at roughly x = -0.09 m, y = 0.10 m, perhaps toward the left and back. The elephant could land toward the front and right near x = -0.04 m, y = 0 m, likely apart from it, leaving room for the yellow toy later.

The Snickers bar is lying on top of the first bar inside the red basket. I’ll tilt the left wrist to the same wxyz quaternion used before, [0.683013, -0.454519, 0.183013, 0.541675], while holding link6 at (-0.134, -0.085, 1.043) m. The wrist currently points downward. I am unsure how the elephant’s legs and feet are oriented after it rotated during transport, or whether its length hangs along local X. It appears to hang downward and may be about 0.1 m long. Tilting it forward and right could bring it near the basket rim if it is too low. In the overhead view, the elephant’s feet appear near pixel (240, 220), while the blue basket’s front is around y = 213 pixels, so the bottom is still in front of the basket. With link6 at z = 1.043 m, the object’s bottom may be around z = 0.83 m if its downward extent is closer to 0.2 m. It could therefore be near the estimated rim height of z = 0.84 m. Should I lift slightly before tilting? The previous brown toy’s bottom was around z = 0.9 m; this longer elephant’s bottom may be around z = 0.85 m. Tilting makes the local-X vertical component about -0.74, which I estimate would raise the bottom to z = 0.93 m while moving it inward. Its bottom should swing forward, right, and upward during the rotation and clear the front rim. I’ll begin with 6 steps and may continue with 8-step actions afterward. After the elephant, the remaining objects are the yellow toy near (x, y) = (-0.10, -0.20) m and the watches near (-0.087, -0.101) m and (0.111, -0.128) m. I plan to use the right arm for the second, black-banded watch and the left arm for the first watch and yellow toy. After releasing the elephant, I can withdraw the tilted left wrist and approach either the yellow toy or the first watch. I can move the right arm toward the black watch while the left wrist tilts. The right gripper is open and empty at (0.29, 0, 1.01) m. I initially considered withdrawing upward and backward to (0.24, -0.06, 1.06) m before crossing toward the watch. I’ll instead use (0.22, -0.08, 1.05) m, an estimated displacement of 0.11 m, for this action. The open fingertips would be near z = 0.892 m, above the objects, and the upward-and-backward path should clear the red basket. I’ll execute both motions together for 6 control steps, keeping the left grasp closed and the right gripper open.

In the overhead view, the held elephant appears near pixel (260, 180), close to the blue basket’s front-left area. I’ll continue its inward tilt for 8 control steps. I need to choose a grasp for the black watch. It appears to be a circular band lying flat, with a round black face and a white inner area. I estimate its diameter at about 0.055 m. Should I grasp across the band or the face? Since the ring has an open center, closing on the face edges could pinch the band. The easiest approach seems to be a diametric grasp across the outer band: descend from above with the fingers outside the diameter, then close onto opposite sides. The estimated open gap of 0.11 m exceeds the roughly 0.05 m ring diameter; closing to about 0.05 m should give a secure grasp. I should center the gripper on the ring’s center. The right wrist currently has a -70-degree rotation about local X relative to the downward orientation. Its local-Y closing direction is approximately [-0.34, -0.94] in the world XY plane, mostly along world Y. I could return to the simpler downward orientation, but the circular ring is symmetric, so I can retain the current orientation. The camera view is rotated and its offset differs, but the object remains visible and the grasp-center target should still work. I’ll refine the alignment using stereo cues and the wrist-image projection. My minimum table-approach link6 height is 0.923 m; for an estimated watch thickness of 0.015 m, I expect the finger pads to contact the outer band near the table. I’ll move the open right gripper from its measured position of (0.242, -0.052, 1.04) m to (0.111, -0.128, 1.0) m above the watch, retaining its current grasp orientation. I estimate that displacement at 0.157 m, within the command bound. I’ll use 8 control steps for both arms, keeping the left grasp closed while continuing its tilt, then inspect the next observation.

The black watch is visible near the top-left of the right wrist image at pixel (235, 105), with the open fingers at the bottom. I need to align its center with the projected gripper axis at an estimated watch height of z = 0.77 m. The right link6 is currently at (0.136, -0.112, 1.009) m, retaining the -70-degree rotation about local X relative to the downward orientation. Continuing toward (0.111, -0.128, 1.0) m should bring the watch onto the grasp axis. The remaining target displacement is small: (-0.025, -0.016, -0.009) m. I initially considered 3 control steps for this correction. The left wrist may need 6 steps to finish its inward tilt with the elephant still held, so I’ll use 6 steps for both arms. I expect the right arm to reach its alignment target and then hold with its gripper open while the left completes the tilt.

The left arm is ready to release the elephant. The black watch’s center appears near pixel (305, 165) in the right wrist view. I need to check where the right gripper axis projects at an estimated watch height of z = 0.77 m, with the wrist rotated -70 degrees about local X relative to the downward orientation. The watch’s center should align with that projection. My overhead-based target of x = 0.111 m, y = -0.128 m is likely accurate, but I’ll use a script to check the current axis projection at z = 0.77 m. If it is near pixel (320, 160), the alignment looks good.

At z = 0.775 m, the right gripper axis projects near pixel (320, 170). I visually estimate the watch center at (303, 163), an offset of (-17, -7) pixels. If the watch is about 0.15 m from the camera, the image scale is approximately 397 / 0.15 = 2647 pixels/m, so 17 pixels corresponds to about 0.0064 m along camera X. I am unsure how optical X maps into world coordinates; could that direction’s first component be around 0.883? I could use triangulation instead. The initial overhead-based watch target was x = 0.111 m, y = -0.128 m, assuming z = 0.76 m. The ring’s top is at z = 0.775 m, and I estimate its overhead center near pixel (371, 254). Would using z = 0.775 m put world x near 0.112 m? I’ll calculate the overhead ray’s intersection with that height and compare it with the wrist-view estimate.

The two camera estimates place the watch center near (0.105, -0.134) m, rather than (0.111, -0.128) m. I’ll correct the right gripper by -0.006 m in X and -0.006 m in Y so its projected axis aligns with the watch center. This refinement shows why using both views is useful. I’ll open the left gripper to release the elephant while aligning the open right gripper and lowering its link6 by 0.04 m to z = 0.96 m. That combined alignment and descent seems appropriate for 3 control steps. The right target will be (0.105, -0.134, 0.96) m. After this action, I plan to make the final descent to z = 0.923 m. For now, I’ll use 3 steps for the elephant release and the watch approach, expecting the elephant to drop into the blue basket when the left fingers open.

The released second elephant appears to be falling or standing near the blue basket’s front edge, around pixel (275, 190) in the overhead view. It is probably inside, but the left wrist view shows it vertical in front of the basket’s front wall, with its head down and legs up. Could it be leaning on the front rim rather than fully inside? I initially estimate the rim line near image y = 100 pixels, but the blue front wall appears to extend to y = 350 pixels, with the elephant spanning y = 250–480 pixels. The tilted camera makes this difficult to interpret. In the overhead view, the elephant at (275, 190) lies within the blue basket’s approximate bounds of x = 265–375 and y = 140–213 pixels, so I judge it contained. I should withdraw the gripper to verify. After the descent, the black watch is centered near pixel (320, 210) in the right wrist view. With link6 at z = 0.966 m and the watch at an estimated z = 0.775 m, I expect the grasp axis to project near image y = 209 pixels, so the alignment looks good. I’ll descend the open right gripper to link6 z = 0.923 m over 3 control steps. At the same time, I’ll lift the open left gripper vertically by 0.055 m to z = 1.10 m, keeping its X and Y coordinates and tilted orientation unchanged. The precheck may pass despite the forward position; the previous left lift passed. This withdrawal should be safe and let me inspect whether the elephant has settled inside the basket. I’ll use 3 steps for both arms.

The latest overhead view contradicts my earlier placement assessment. In obs_000267, the first elephant lies near pixel (265, 180), partly along the blue basket’s left edge, while the second appears upright or lying near (273, 209), on the table just in front of the basket. It appears to have dropped outside rather than remained contained. My tilt did not move it far enough inward, perhaps because of its pivoting or hanging shape. I need to recover it and place it farther inside. Could the right arm recover it more easily? I can also use the left arm, since the elephant is directly in front of the blue basket and accessible. Its overhead position is approximately (273, 208) pixels. If its body top is at z = 0.80 m, might its world position be around x = -0.08 m, y = -0.04 m? I should calculate this and use both the overhead and left wrist views to identify a new grasp point. For placement, I could lift higher and tilt farther forward, perhaps giving local X a +Y component of about 0.8, or translate link6 farther forward with a tilted wrist to improve reach. The right link6 is at z = 0.931 m, nearly at the final target of 0.923 m. Could I close around the watch at the current height? I estimate the fingertips at z = 0.773 m, the table at z = 0.765 m, and the band top at z = 0.78 m, so that might be enough. Alternatively, I could lower to 0.923 m over another 3 steps. The watch remains unchanged between the open fingers. I can command the right gripper closed at z = 0.923 m over 4 steps, combining an 8 mm descent with closure. Meanwhile, the left arm could hold at z = 1.077 m or move toward a recovery approach at z = 1.05 m. I should first secure the right watch and place it in the white basket, then focus on the elephant. The left arm can prepare for recovery during the right closure and test lift. On closer consideration, the second elephant may be hanging over the blue basket’s front wall with its feet inside rather than lying entirely outside. In the left wrist view, the first brown elephant is at the upper left with its legs toward the right, and the second elephant’s head is near the bottom center. Overhead, the second body appears near (273, 208) pixels, close to the front edge at image y = 213 pixels; its head extends outside to y = 220 pixels, while its legs are near (265, 190) pixels inside. It may therefore be supported by the front rim with its legs inside and head outside. Does the task require the object center to be inside? The native checker might use its position within the basket’s XY bounds and its Z coordinate, but I do not know. I should move it fully inside regardless. I could push its head or legs toward world +Y with an open left fingertip, but that risks collision. Regrasping the body, lifting, and placing it farther inward seems better for a stable placement. Its head currently points toward the front, in negative Y, while its body and legs point toward the basket. A tentative body grasp point is x = -0.09 m, y = -0.035 m, z = 0.80 m. With the downward orientation, the camera’s +Y offset would put it over the blue interior. At that body position, I estimate the camera at y = +0.016 m, perhaps inside the basket and above the rim without contacting the wall. With link6 at y = -0.04 m and z = 0.925 m, I estimate the camera at y = +0.011 m and z = 0.84 m, inside the basket rather than in its wall. I could close around the body there and lift. For the next placement, I could tilt forward by 50–60 degrees and perhaps move link6 to y = 0 m while tilted, which may improve reach. The left link6 is currently at (-0.133, -0.082, 1.077) m with a tilted wrist. A possible recovery sequence is to return to the downward orientation, approach (-0.09, -0.04, 0.925) m, grasp, lift vertically to z = 1.08 m, then tilt 50 degrees forward and 20 degrees rightward. If kinematics allow, I could also move link6 to x = -0.08 m, y = 0 m at z = 1.08 m. Assuming a held-object offset of 0.15 m along local X, a 50-degree forward tilt would give an estimated +0.115 m Y offset, placing its center at y = +0.075 m with link6 at y = -0.04 m, fully inside. With the previous 35-degree tilt, the actual center offset may have been only 0.1 m; at link6 y = -0.08 m, that would put the center near y = -0.023 m, outside. I estimate a 50-degree tilt would give a +0.096 m offset and center y = +0.016 m, which may still be borderline. Moving link6 to y = -0.03 m would put the center near y = +0.026 m. I should aim for the front interior at y ≥ 0 m. Another option is to release from higher up with link6 at y = -0.02 m and the object tilted forward; the tilted orientation may make that pose easier to reach. I will refine the placement after regrasping. For now, I will command the right gripper closed at the final height of z = 0.923 m and rotate the open left wrist toward the downward orientation while holding its link6 position at (-0.133, -0.082, 1.077) m. I will use 4 control steps. The left rotation may only complete partway, but I expect the open gripper to remain clear, and this will prepare it for recovery.

The right watch is still on the table, but the fingers appear to have closed around its outer band. The reported opening command is 0.405, and the black band appears to lie across the finger pads, which looks promising. I need a test lift to verify the grasp. The left wrist has only partially rotated toward the downward orientation. I’ll use 4 control steps to lift the closed right gripper to link6 z = 0.958 m while continuing the open left wrist toward the downward quaternion [0.5, -0.5, 0.5, 0.5] in wxyz order. Then the left arm can recover the elephant.

Did rotating the left arm near the elephant cause a collision? In the overhead view from obs_000275, the first brown toy is now near the white basket’s front edge at pixel (215, 210), having moved from blue, and the second elephant is near pixel (300, 235), close to the first watch. Has that watch shifted too? Both toys moved significantly during the rotation seen between obs_000271 and obs_000275. It looks as though the open left gripper, likely its right finger, swept through them while rotating from tilted toward downward and knocked them onto the table. I need to stop and replan before making further contact. The left rotation is incomplete, with measured quaternion [0.624, -0.48, 0.308, 0.534] in wxyz order, and the arm is still near the toys. The right watch is near pixel (370, 263) in the overhead view, compared with approximately (370, 254) originally. I initially wonder whether it is still on the table, since it remains visible below the gripper near (367, 262). However, it stays fixed relative to the right wrist camera during the 0.035 m test lift, so I judge it held near the table. The first watch now appears near pixel (280, 247), and the second elephant may be lying on top of or close to it. I need to recover the displaced objects. This appears recoverable with further manipulation, and 825 control steps remain. I’ll immediately lift the open left gripper vertically while holding its current orientation, before attempting any more rotation. Its local X axis is still tilted forward, rightward, and downward. A lift of about 0.06 m should provide clearance; the target link6 height is 1.13 m, up 0.057 m from the measured 1.073 m. This may pass the precheck. At the same time, I’ll continue lifting the closed right gripper holding the watch to link6 z = 1.0 m. I’ll use 3 control steps, then inspect the object positions. The open left fingers may still be contacting the toys, but a straight upward withdrawal seems likely to clear them.

The left gripper is now clear. In the overhead view, the brown toy is near pixel (205, 235), perhaps at world x = -0.22 m, y = -0.13 m. The elephant is near pixel (300, 235), approximately at x = -0.04 m, y = -0.14 m, and may be on top of the first watch. The first watch’s red ring is visible near pixel (280, 247), underneath the elephant’s left side. The yellow toy is unchanged. Both previously placed toys have been knocked out, leaving the blue basket empty. I need to sort those two toys again, along with the yellow toy and first watch, plus the black watch held by the right gripper. The remaining 822 control steps should be enough if I proceed carefully. Can the right arm place the black watch directly into the white basket at approximately x = -0.30 m, y = 0.09 m? Its base is near x = +0.3 m, so that requires reaching about 0.6 m across the workspace and may be impossible. Even reaching the basket near x = -0.3 m, y = 0 m seems unlikely. I estimate the right arm’s maximum horizontal reach at perhaps 0.5 m, which would make the basket center too far away even before accounting for Y. I considered a dramatic wrist tilt and a throw, but a transfer to the left arm is preferable. Placing the watch into blue would be incorrect. A direct handoff is possible in principle: both arms could meet near (0, -0.15, 1.0) m, with the left fingers grasping the opposite side of the ring before the right fingers open. That is complex, whereas placing the watch on the table for the left arm to pick up should be robust. The right arm could release it near x = -0.1 m, y = -0.1 m, then the left could put it into white, although this adds manipulation steps. I will also assign the first watch to the left arm. I need a clear transfer spot away from the first watch, elephant, and yellow toy. Possible spots include (x, y) = (-0.05, -0.25) m or (-0.15, -0.25) m. The front-left table near (-0.22, -0.28) m may also be reachable by the right arm: it would require about 0.5 m of cross-body reach, perhaps feasible at z = 0.95 m. A spot at (-0.10, -0.25) m would require about 0.4 m of reach from the right base and should be easy for the left arm as well, but the yellow toy near (-0.1, -0.2) m would be only about 0.05 m away. A clearer alternative is (-0.20, -0.28) m. Moving the right gripper from x = +0.106 m to x = -0.20 m would involve a 0.306 m change in X, along with a change from y = -0.135 m. That may be near its reach limit, though a lower height of z = 0.95 m and a tilted orientation might help. Another candidate is (-0.05, -0.28) m, requiring about 0.35 m of right-arm reach and 0.25 m of left-arm reach. Its separation from the yellow toy would be about 0.094 m. My other approximate obstacle positions are the brown toy at (-0.23, -0.12) m and the elephant at (-0.04, -0.13) m. A transfer spot at (-0.12, -0.32) m would be about 0.12 m in front of the yellow toy. Could the right arm reach it? Negative Y brings it closer to the robot, and the 0.42 m cross-body reach would be within an estimated horizontal reach of 0.45 m. The current downward grasp orientation with a -70-degree rotation about local X might be feasible there. I could also simply use (-0.10, -0.27) m and have the left arm collect the watch later. I have not yet settled on the exact transfer spot. Before transporting the watch, I should consider arm clearance. The left gripper is open near (-0.135, -0.087, 1.099) m and may need to move away toward a recovery approach to avoid interference. A right-arm path from (0.106, -0.135) m toward (-0.10, -0.27) m passes near the elephant at (-0.04, -0.14) m. I initially estimate the held watch’s height at about z = 0.84 m. Raising right link6 from its current z = 0.993 m to z = 1.08 m should put the object’s bottom near z = 0.92 m and provide clearance before moving left. The left wrist can finish rotating downward at its current height while the right lifts. Are any toys still close to its fingers? I estimate the left finger bottom near z = 0.99 m and the toys near z = 0.82 m, so the rotation now appears clear. I considered finishing the earlier lift to z = 1.13 m first, but the measured height is already 1.099 m. Based on the current tilt and a downward local-X component of about 0.9, I estimate the fingertips near z = 0.96 m. Returning to the fully downward orientation at z = 1.099 m would put them near z = 0.941 m, still clear. I will therefore finish the left wrist’s downward rotation while raising the held watch on the right, using 6 control steps. Afterward, I can transport the watch to the table transfer spot, then recover the displaced objects sequentially. The left arm could start approaching the brown toy after rotating if the paths remain separate, but placing the watch first seems simpler. I also considered bringing the right watch to (-0.05, -0.05, 1.0) m for a handoff with the left arm tilted near the white basket; that is still unnecessarily complex compared with a table transfer. I should keep track of the displaced objects’ image positions and later triangulate their locations at appropriate heights. For this immediate action, I’ll keep the left gripper open at its current position and target the downward orientation, while keeping the right gripper closed and lifting it to z = 1.08 m.

The left wrist has not yet reached the downward orientation, but it is clear of the toys. The right link6 has risen only to z = 1.055 m. I could continue the left rotation for 6 steps and the right lift toward z = 1.08 m for 4 steps, perhaps using 4 steps for both arms. Alternatively, I can begin the watch transfer now. I estimate the held watch’s bottom at z = 0.90 m, clear of the remaining objects below z = 0.83 m. Moving the right link6 from (0.107, -0.137, 1.055) m to an intermediate waypoint of (0, -0.22, 1.04) m is an estimated 0.135 m displacement and appears safe. After that, I can move toward (-0.12, -0.28, 0.94) m for table placement. I’ll use 6 control steps to move the closed right gripper to the intermediate waypoint while finishing the open left wrist’s downward rotation at its current position.

The held black watch appears near pixel (320, 240) in the overhead view, while the yellow toy is near (270, 286), so they appear clear of each other. One possible right-arm transfer target is (-0.12, -0.30, 0.923) m. From the measured pose of (0.031, -0.197, 1.045) m, I estimate that move as 0.206 m, within the command bound. The precheck might pass despite the cross-body reach because the target is closer to the robot’s front. I also need to localize the displaced toys before recovering them. The brown toy appears near overhead pixel (208, 245), though I tentatively place its body top near (210, 235). In the left wrist view, its body top appears near (165, 170) and its head near (100, 200). A possible body-top correspondence is overhead pixel (213, 230) and wrist pixel (165, 170). I’ll triangulate rather than rely on these rough estimates. The other elephant appears near overhead pixel (300, 235), with the first watch underneath it, so I need to move that elephant before collecting the watch. The yellow toy looks easy to grasp, and the brown toy is accessible. I could have the left arm recover the brown toy while the right transfers the black watch to a spot the left arm can reach. After releasing the watch, the right arm could recover the other elephant and place it in blue; I believe it can reach the blue basket center at x = 0 m, y = 0 m. Both arms would then be placing into the same basket, so their releases should be staggered. Another option is for the right arm to collect the yellow toy while the left handles the brown toy. I prefer having the right arm grasp the elephant and hold it until the left has released the brown toy, then place it. The left can subsequently handle the yellow toy and the first watch. The black watch’s transfer spot must stay clear of the left arm’s approach to the brown toy. I’ll choose x = -0.05 m, y = -0.30 m, which requires less cross-body reach by the right arm and remains accessible to the left. A right link6 target of (-0.05, -0.30, 0.923) m is an estimated 0.167 m from its current pose. This spot is in front of the yellow toy near (-0.1, -0.2) m, with an estimated separation of 0.11 m. The brown toy near (-0.23, -0.12) m is farther away. With the right wrist retaining its -70-degree rotation about local X relative to the downward orientation, I expect the camera to remain clear at link6 z = 0.923 m because the front-table area is unobstructed. I considered lowering first to z = 0.94 m. From the current height of 1.045 m, I estimate a 0.122 m descent to the final height, plus about 0.16 m horizontally, for a total move of about 0.20 m. The precheck may pass, but the final approach should use shorter actions. I’ll instead use an intermediate target of (-0.04, -0.29, 0.98) m, estimated at 0.125 m away, for 8 control steps, then descend to z = 0.923 m. The left arm could move above the brown toy at the same time, once I have refined its position. Before moving, I’ll triangulate tentative body-top correspondences from obs_000290 and inspect the ray-separation errors. For the brown toy, I now estimate the overhead body top near (213, 231) and the wrist point near (160, 170). For the other elephant, the overhead body top may be near (300, 228). Its wrist point might be (450, 140), though the object appears farther right near (465, 140), with the body-top center around (470, 125). These are approximate correspondences. I’ll run the triangulation for several objects and inspect the errors before choosing recovery grasp positions.

The triangulation errors likely come from approximate pixel correspondences, but the estimated positions seem plausible. The brown toy is near (-0.217, -0.105, 0.811) m, and the other elephant is near (-0.042, -0.082, 0.794) m. I had misread the overhead view: although the elephant’s image center appears around vertical pixel 235, its estimated world y coordinate is about -0.08 m. The brown toy’s earlier y = -0.209 m corresponded to overhead vertical pixel 290, whereas its current vertical pixel 232 suggests y around -0.09 m. The toys therefore moved backward toward the baskets rather than toward the front. The elephant is now near the first watch at approximately x = -0.08 m, y = -0.10 m, and that watch is underneath it. The yellow toy is near (-0.097, -0.214, 0.793) m, with an estimated height of 0.04 m. The right-arm transfer spot at y = -0.30 m appears safe. I’ll approach the brown toy with the open left gripper, targeting link6 at (-0.217, -0.105, 1.0) m with the downward orientation. From its measured position of (-0.137, -0.092, 1.093) m, I estimate the target distance as 0.125 m, and the precheck will likely pass. At the target height, the downward fingertips would be near z = 0.842 m, above the estimated body height of z = 0.811 m, so I expect clearance. At the same time, I’ll keep the black watch grasped and move the right arm to the intermediate transfer waypoint (-0.05, -0.30, 0.98) m. I’ll use 8 control steps, then inspect the next observation.

In the overhead view from obs_000298, the right arm appears to cross over the elephant, spanning approximately image x = 200–320 pixels at y = 250 pixels. The elephant is partly occluded near pixel (300, 225). The watch is held high and may be hidden by the gripper; I am unsure whether any contact occurred. The left arm has not yet reached its approach pose above the brown elephant. I’ll continue toward the left link6 target of (-0.217, -0.105, 1.0) m while lowering the right link6 to z = 0.923 m at the transfer spot. I’ll use 4 control steps for both arms, keeping the right gripper closed, then open it in the next action to release the watch.

The right link6 is at z = 0.937 m, so the watch has not yet reached the table; its bottom may be around z = 0.78 m. I’ll continue toward the placement height of z = 0.923 m, which may need another 2 control steps. The left arm is still at x = -0.194 m and has not reached its alignment target of (-0.217, -0.105, 1.0) m. I’ll allow 4 control steps for both arms, keeping the right watch grasped and the left gripper open. The right placement pose at x = -0.05 m, y = -0.30 m, z = 0.923 m may be reachable with its existing -70-degree rotation about local X relative to the downward orientation. After settling these poses, I plan to release the right watch onto the table and descend the left link6 to z = 0.923 m for the elephant grasp. The watch should rest stably after release, but that will need verification.

The brown elephant’s body appears centered near pixel (320, 200) in the left wrist view, so the alignment looks good. The left link6 is at x = -0.215 m, y = -0.104 m, close to the grasp target at x = -0.217 m, y = -0.105 m. I’ll lower the open left gripper to link6 z = 0.95 m; perhaps 3 control steps will suffice. At the same time, I’ll open the right gripper to release the black watch at the transfer location. I’ll use 3 steps for both arms.

The released black watch is resting stably on the table. The right arm can withdraw upward toward link6 z = 1.0 m, then perhaps approach the other displaced elephant near x = -0.04 m, y = -0.08 m. That would involve reaching across from the right base, but the elephant is nearby. I first need to grasp the brown elephant with the left arm. The left link6 is currently at z = 0.969 m, with an eventual grasp-height target of 0.923 m. Its wrist view is filled by the elephant’s body, with the open fingers on either side, so the alignment looks good. I considered allowing 5 steps toward 0.923 m, but the final approach should use fewer steps. I’ll instead use 3 steps toward an intermediate height of 0.935 m, then plan another 3-step action to reach 0.923 m and close. The open right gripper is at x = -0.05 m, y = -0.30 m, above the transferred watch at the same table location. The yellow toy is near x = -0.10 m, y = -0.214 m. A vertical withdrawal appears safe. For this action, I’ll lift the right link6 to z = 0.98 m while lowering the open left gripper to z = 0.935 m, using 3 control steps. Afterward, I may move the right gripper above the other elephant at link6 z = 1.0 m while completing the left grasp.

The left link6 is at z = 0.937 m. The fingers may still be above the table, but a grasp around the brown elephant’s body looks possible. I initially considered lowering to the final height of z = 0.923 m and closing over 3 control steps, while lifting the right arm toward z = 1.0 m; in 3 steps, it might only reach z = 0.98 m. I’ll instead use 4 control steps for both arms, lowering the left link6 to z = 0.923 m with closure commanded and lifting the open right gripper toward z = 1.0 m. The simultaneous left descent and closure involves only a 0.014 m height change, which I judge safe.

After 4 control steps, the left opening command is 0.636, and the fingers appear partly closed around the brown elephant’s upper body. Closure needs more time. The right link6 is at approximately z = 1.0 m. I could move the open right gripper above the other elephant at (-0.04, -0.085, 1.0) m while continuing left closure for 3 steps. That elephant is estimated near x = -0.04 m, y = -0.08 m, near the blue basket’s front, where the right wrist camera can help localize it. I estimate the target change as 0.215 m along Y and 0.001 m along X, within the 0.25 m distance bound. Could the forward path pass too close to the yellow toy? I am unsure which side it passes on. The right gripper would move from approximately (-0.05, -0.30) m to (-0.04, -0.085) m in the table plane, while the yellow toy is near (-0.10, -0.214) m. The open fingers could potentially sweep near it, depending on their orientation, but at link6 z = 1.0 m I estimate the fingertips at z = 0.842 m, above the yellow toy’s top at z = 0.793 m. I therefore expect clearance. The transferred black watch is below the departure point, and the fingers have lifted away from it. I considered 8 steps for the right move, with the left held closed and its test lift deferred. I’ll use 6 steps instead, holding the left pose with closure commanded and moving the open right gripper to (-0.04, -0.085, 1.0) m with its existing -70-degree rotation about local X relative to the downward orientation. Could the blue basket occlude or contact the right camera? I estimate its offset from link6 as (-0.048, +0.017, -0.085) m, placing its center near (-0.088, -0.068, 0.915) m at the target, looking diagonally. With the basket front near y = -0.02 m, I expect no collision.

The right arm’s forward, cross-table target failed the precheck with a position error of about 16 mm. I could try a nearer waypoint at y = -0.11 m, z = 1.0 m, or perhaps change to the downward orientation. The elephant is estimated at y = -0.08 m, but I could initially approach at y = -0.10 m and refine the grasp offset afterward. I’ll try the right link6 target (-0.04, -0.12, 1.0) m, an estimated distance of 0.18 m from its current pose, which will likely pass. Later, I could move to y = -0.085 m at the lower height of z = 0.95 m. Changing to the downward orientation would reduce the camera’s crosswise offset, though I am uncertain about its effect on the kinematics. For now, I’ll retain the right wrist’s -70-degree rotation about local X relative to the downward orientation. I’ll use 4 control steps to move toward this intermediate waypoint while holding the left pose and continuing its gripper closure.

The overhead view suggests that the right arm is crossing near the brown elephant at the left gripper. In the right wrist view, the yellow toy is partly visible at the top near pixel (300, 0), and the transferred black watch is on the left near (150, 220). The right arm has only reached y = -0.234 m, short of its target at y = -0.12 m. The black watch appears near overhead pixel (295, 340). Was its earlier transfer position around (290, 360)? It may have shifted slightly as the open right gripper passed nearby, perhaps from being pushed. The right fingers appear near (270, 315), close to the watch at (295, 340). I am uncertain whether the watch moved, but any apparent displacement seems minor. The left opening command remains at 0.633 after 4 steps. Perhaps the elephant’s large body is resisting further closure, although this quantity is a command rather than a measured finger gap. I can now test the grasp with a small lift, targeting left link6 z = 0.958 m. Meanwhile, the right arm can continue toward (-0.04, -0.12, 1.0) m. Its remaining Y displacement is +0.114 m, and I estimate that 4 steps will move it about 0.07 m toward the target. Could the arms collide during these simultaneous motions? The left gripper is at x = -0.217 m, y = -0.105 m, and the right target is at x = -0.04 m, y = -0.12 m. I estimate their separation near that target as 0.177 m, with gripper widths around 0.1 m. The arm links may be close: in obs_000320, the white right upper arm appears near overhead pixel (200, 200), close to the black left gripper at approximately the same pixel location. Advancing the right arm toward y = -0.12 m would bring the grippers to nearly the same Y coordinate, but their X separation should remain above 0.15 m. The held brown elephant is approximately 0.08 m wide, and the open right fingers are approximately 0.11 m wide. Their combined half-widths are about 0.095 m, which seems to leave clearance at a separation of 0.177 m. The arm bodies may be larger, so some uncertainty remains. I could hold the right arm until the left lifts and moves leftward. However, the current right position at (-0.042, -0.234) m is about 0.226 m from the left position at (-0.217, -0.105) m, and the planned right advance reduces that separation to about 0.177 m, which still seems adequate. The left test lift is vertical, with no horizontal motion. I’ll proceed with both motions for 4 control steps, keeping the left gripper closed and the right gripper open.

The left lift is progressing slowly: its link6 height rose from about 0.958 m to 1.015 m, a motion of about 0.058 m over 5 steps. In the overhead view, the brown elephant initially seems to remain on the table near pixel (200, 225), while the gripper appears near (160, 160). On reconsideration, the held elephant may be near (190, 215), though it looks separated from the gripper in that view. The wrist view still shows the same object relative to the fingers, supporting the grasp. I initially worry that the yellow toy has been knocked or damaged because it appears near overhead pixel (267, 287). However, the toy I had identified as a lion appears near (270, 287), essentially in the same position as before. The right gripper is nearby, but I do not see contact, so it may be unchanged. The second elephant is clearly visible in the right wrist view, with its body top near pixel (520, 60), the center of its legs near (450, 180), and the first watch behind it near (350, 50). I plan to grasp it with the right wrist retaining its -70-degree rotation about local X relative to the downward orientation. Its long axis runs diagonally from the legs at the lower left toward the body top at the upper right. I estimate the body center near (500, 70), but I am unsure where the head is. The elephant may be lying upside down, with its legs pointing left and down. I would aim for the body near (510, 60), rather than the legs. The current right link6 position is (-0.036, -0.145, 0.996) m. My earlier approach estimate was x = -0.04 m, y = -0.085 m, with the body perhaps actually near x = -0.04 m, y = -0.08 m. The nearer waypoint at x = -0.04 m, y = -0.12 m has not yet been reached, and I still need to refine the body’s actual position. I’ll use the calibration from obs_000329 to triangulate tentative corresponding points and calculate the projected right grasp axis. The second elephant’s body top may be near overhead pixel (305, 225), or more specifically (302, 221), corresponding to approximately (530, 60) in the right wrist image. These are estimates that the calculation can help assess. I also plan to continue the left lift toward link6 z = 1.08 m while aligning the right gripper, after checking the localization.

The second elephant’s mid-body triangulates to approximately (-0.038, -0.0974, 0.798) m, while the body-top correspondence remains uncertain. The likely grasp point is therefore at x = -0.038 m, y = -0.097 m, rather than y = -0.085 m. The right link6 is currently at x = -0.036 m, y = -0.145 m, so it needs a +0.048 m change in Y. I initially expect the target (-0.038, -0.097, 1.0) m to align the mid-body with the grasp-axis projection near pixel y = 217, but the observed mid-body is at pixel (470, 140). I also initially think the triangulated point (-0.038, -0.097, 0.798) m projects near (320, 201) in the current wrist view, which seems inconsistent. The correspondence used overhead pixel (302, 232) and wrist pixel (470, 140), whereas the current gripper axis at x = -0.036 m, y = -0.145 m projects near (320, 200). If the triangulated point is the actual object point, it should project near (470, 140) in the current wrist view. Moving link6 to that point’s X and Y coordinates will change the view so the object point aligns with the grasp axis at the new pose. Thus, the target x = -0.038 m, y = -0.097 m is appropriate if the selected mid-body point is a suitable grasp point. I’ll move the open right gripper to (-0.038, -0.097, 1.0) m and continue lifting the closed left gripper toward link6 z = 1.08 m. Perhaps 4 control steps will suffice; I’ll use 4 steps for both arms.

The right waypoint appears near the arm’s reach limit; the precheck position error was about 7 mm. I could lower the target height to z = 0.98 m, use a less forward Y target of -0.103 m, or combine those adjustments. The current right link6 height is 0.996 m, so lowering it by 0.016 m should improve reach. I’ll try the right target (-0.038, -0.10, 0.98) m, an estimated displacement of 0.047 m, while keeping the same left-arm lift target. I’ll use 4 control steps.

The second elephant’s body appears near pixel (400, 150) in the right wrist view. Where does the gripper axis project at the estimated object height of z = 0.798 m with link6 at z = 0.981 m? The right arm has not finished its alignment: its current y coordinate is -0.113 m, compared with the target of -0.10 m and the estimated object y coordinate of -0.097 m. Perhaps 2 more steps would reach y = -0.10 m and z = 0.98 m, after which I can descend toward z = 0.923 m. The right wrist retains the -70-degree rotation about local X relative to the downward orientation, giving a diagonal closing direction in the table plane. The first watch is adjacent to the elephant, behind and to its left, so an open finger might contact it during descent. In the wrist image, the watch is near (250, 100), the elephant’s body is near (400, 150), and the open fingers are at the lower left and lower right. I am unsure exactly where the pads will appear at grasp depth. Currently, the open fingers span image x = 0–120 and x = 520–640 pixels, the watch spans x = 150–330 and y = 0–170 pixels, and the elephant spans x = 250–530 and y = 40–290 pixels. Their image extents overlap near the elephant’s left edge. The watch may be behind it at the object plane, but I am unsure of their relative world Y positions. I need to grasp the body without disturbing the watch. As the fingers close along image X, the left finger might contact the elephant’s leg or body near x = 230 pixels, while the watch near x = 200 pixels could also be caught between the pads. The open gap may include the watch, and the left finger could push it toward the elephant before contacting the body. However, the intended body contact is near image y = 150 pixels, while the watch point is near y = 100 pixels, so they may be sufficiently separated. This needs precise alignment. I could choose a grasp farther toward the rear or right side of the body, near pixel (430, 170), to avoid the watch. The estimated mid-body point at world x = -0.038 m, y = -0.097 m may include the legs. Another possibility is to shift toward the body top near x = -0.03 m, y = -0.07 m, although that would be harder to reach. I could leave this elephant for the left arm later, but the right arm is already approaching it. With the current wrist orientation, the fingers appear horizontal, the elephant’s long axis is diagonal, and the watch is at the upper left. A grasp across the rear body near pixel (420, 140) could put the left contact near (320, 140), separated from the watch clasp near (250, 120) by about 70 pixels, or approximately 0.02 m. That seems adequate. I still wonder where the target axis will project after moving to y = -0.10 m, since the body center is currently at image x = 400 pixels. The arm has only moved partway: moving link6 toward the localized point should bring the selected mid-body point, seen at (470, 140) in obs_000329, toward image x = 320 pixels. At the final alignment, I expect the body to shift left toward the axis and the watch to shift farther left, perhaps outside the pads. The left link6 is at z = 1.055 m and has not reached its transport-height target of 1.08 m. I’ll allow 3 control steps to continue that lift with the grasp closed while completing the open right gripper’s alignment at (-0.038, -0.10, 0.98) m.

The brown elephant still appears near the white basket’s front at overhead pixel (185, 205), which initially makes me question whether it is moving with the left gripper. I estimate the gripper near (150, 120). Comparing observations, in obs_000316 the gripper was near (190, 170) and the elephant near (210, 240); in obs_000336 the gripper is near (130, 80) and the elephant near (185, 205). Their approximate upward and leftward movement, roughly 50 and 25 pixels, is consistent with the elephant being held. I judge the grasp secure. The second elephant’s body is centered around pixel (350, 170) in the right wrist view. I initially consider descending the right link6 to z = 0.93 m. The first watch is just behind the elephant, so could the left finger push it? At the final alignment, the watch appears near (200, 80), while the open left finger spans image x = 0–120 pixels. When closing around the body, which spans roughly x = 200–500 pixels, that finger might move from x = 100 to x = 220 pixels at a body contact row perhaps near y = 300 pixels. The watch at y = 80 pixels appears separated from that contact region. I think the clearance is adequate. I then consider a 3-step descent to z = 0.94 m. For the left arm, one option is to move from its measured link6 position of (-0.217, -0.106, 1.078) m to the previously reached blue-basket approach at (-0.133, -0.086, 1.042) m. I estimate that displacement as 0.095 m. Will the precheck pass from this approach? It should, given that I previously reached the pose from x = -0.18 m. The path passes above the white basket’s front, with the held toy’s bottom estimated at z = 0.9 m, so I expect clearance. I could use 4 steps for that left approach and the right descent to z = 0.94 m, then finish the right grasp and tilt the left wrist. This time I need to place farther inward, avoid releasing too early, and avoid rotating an open gripper near the toys. I can change the left placement strategy: while holding the brown elephant with the wrist pointing downward, tilt it forward by 50 degrees at a higher link6 height of z = 1.10 m, with link6 near x = -0.15 m and y = -0.105 m. Then move link6 forward to y = -0.03 m and inward to x = -0.08 m with the wrist still tilted, which may ease the reach, before releasing. With an assumed held-object offset of 0.15 m, I estimate its center’s Y coordinate as -0.03 + 0.15 sin(50°) = 0.085 m, inside blue. The X estimate is less settled: would x = -0.08 m plus a tilt contribution using perhaps a 20-degree rightward angle put the center near x = -0.03 m? I should calculate that. A more specific choice is a 50-degree forward tilt and a 15-degree rightward tilt, composed as Ry(-15°) × Rx(50°) applied to the downward orientation. I estimate the resulting local-X direction as [sin(15°) cos(50°), sin(50°), -cos(15°) cos(50°)] = [0.1664, 0.7660, -0.6210]. At an offset of 0.15 m, this gives approximately +0.025 m in X and +0.115 m in Y. With link6 at (x, y) = (-0.10, -0.03) m, the object center would be near (-0.075, 0.085) m, fully inside the basket. At link6 z = 1.10 m, I estimate the grasped body at z = 1.007 m and the bottom perhaps at z = 0.92 m, above the rim. A drop of 0.13 m into the basket seems acceptable. I could instead lower link6 to z = 1.0 m after positioning, putting the body near z = 0.907 m and the bottom near z = 0.82 m, around the basket bottom or rim height, for a gentler release. The tilted pose at (-0.10, -0.03, 1.0) m is likely reachable because the tilt may free forward reach. If the brown body’s actual offset along local X is about 0.12–0.15 m, I estimate a Y shift of +0.09–0.11 m; with link6 y = -0.03 m, its center would be at y = 0.06–0.08 m, inside. Could the right arm place the second elephant directly into blue with a downward wrist at link6 (0, 0, 1.0) m? From a base near x = 0.3 m, y = -0.5 m, I estimate the reach as 0.58 m. It previously reached red near x = 0.29 m, y = 0 m, but blue adds about 0.29 m of cross-body reach, which may be difficult. The right link6 is already near blue’s front at x = -0.036 m, y = -0.103 m and near its local reach limit. It could instead tilt forward by 50 degrees without a sideways tilt, moving the object inward by about +0.1 m in Y. Its link6 X coordinate is already within blue. Applying a world-frame Rx(50°) rotation to its current orientation, which is rotated -70 degrees about local X relative to downward, would change the finger axis and camera while moving the object toward +Y. At link6 z = 1.08 m and y = -0.10 m, I estimate the object center at y = +0.015 m, which is borderline. Moving link6 to y = -0.03 m would put the center near y = +0.085 m. That seems feasible, and I intend to use this strategy. For the immediate action, I will keep the left arm high rather than lower it to the old approach pose. I’ll stage its closed gripper at (-0.15, -0.10, 1.08) m, an estimated 0.067 m move from (-0.217, -0.106, 1.078) m, then tilt at z = 1.08 m. The brown elephant’s bottom may be near z = 0.92 m, which seems clear. I’ll lower the open right gripper to (-0.038, -0.10, 0.94) m with its orientation unchanged. I’ll use 4 control steps for both arms.

The second elephant’s body is now between the right fingers. The first watch is at the upper left of the wrist view: the left finger spans approximately image x = 0–120 pixels at y = 300 pixels, while the watch spans x = 0–220 pixels near y = 200 pixels. They may be close, but I see no contact yet. I’ll lower the right link6 to the final grasp height of z = 0.923 m and close. Its quaternion has changed slightly, with w now about 0.132, but the orientation still looks acceptable. The left arm is at staging x = -0.163 m rather than the target x = -0.15 m, so it can finish that small move while the right gripper closes. I could also begin the planned 50-degree forward and 15-degree rightward tilt from its current downward orientation. I would need to calculate the target quaternion; I tentatively estimate the whole orientation change at about 0.9 rad, perhaps 0.894 or 0.887 rad, below the 1.0 rad limit. I could hold its current position of (-0.163, -0.101, 1.077) m or move to (-0.15, -0.10, 1.08) m while tilting. I considered 6 steps for the tilt and 4 for the right closure. However, if the left tilt fails the precheck, the right closure will not execute either. I’ll defer the tilt and first use 4 control steps to finish the left staging move to (-0.15, -0.10, 1.08) m with its grasp closed and downward orientation maintained, while lowering and closing the right gripper. Then I can tilt the left wrist separately.

The right link6 is only at z = 0.945 m rather than the target of 0.923 m, perhaps because of object or table contact, or a local reach limit. Its measured XY position is (-0.026, -0.09) m rather than the target (-0.038, -0.10) m, which suggests resistance from contact with the elephant or nearby watch. After 4 control steps, the opening command is 0.729, so closure is still partial. The elephant’s body fills much of the wrist view; the camera is close, but the object remains visible. Is the left finger of the right gripper contacting or pushing the first watch’s clasp? Has the watch’s ring moved at the upper left of the wrist view? The overhead view still shows its red band behind the elephant. The right arm may be at its cross-table reach limit with this orientation. I should not force it lower. A grasp at link6 z = 0.945 m may be sufficient: I estimate the fingertips at z = 0.787 m and the elephant’s body at z = 0.80 m. I’ll hold the closure command for another 3 steps, then test the grasp with a lift. I could begin the left wrist’s tilt while the right closure finishes. The left gripper is closed around the brown elephant, and the blue basket is empty, so the basket itself seems clear. However, the right elephant is at the front edge. The left gripper is at x = -0.153 m, y = -0.10 m, and the right at x = -0.026 m, y = -0.09 m, with an estimated separation of 0.127 m. Tilting the left wrist inward and rightward could move the brown elephant toward the right arm and its elephant. I should avoid that simultaneous motion. I could hold the left arm or move it leftward or upward while test-lifting on the right. Placing the brown elephant first might also be obstructed by the right gripper near the front rim. The better sequence is to hold the left arm steady, finish the right closure and test lift, then raise the right elephant and move it to a staging position toward the right and front, freeing the blue approach. I can then place the brown elephant using the improved tilt and place the second elephant afterward. For now, I’ll hold the brown elephant at the left link6 position (-0.153, -0.10, 1.077) m and maintain right closure at its current z = 0.945 m for 3 control steps. After inspecting that observation, I plan a right test lift to link6 z = 0.98 m over 3 steps without horizontal motion.

The right gripper’s opening command is now 0.486, and its fingers appear to be around the elephant’s body. Has the first watch moved? In the overhead view, its ring now appears at pixel (277, 253), compared with the original (280, 243), a downward shift of about 10 pixels. Contact with the right gripper may have pushed its clasp, though the displacement does not look major. In the left wrist view, the watch’s center now appears at pixel (440, 150), also suggesting movement. I’ll test the right grasp by lifting its link6 to z = 0.985 m over 3 control steps while holding the left arm steady.

The right gripper’s opening command dropped from 0.486 to 0.15 during the lift. Are the fingers fully closed, and is the elephant still on the table? In the right wrist view from obs_000350, the fingers look like long triangles meeting near the bottom center, while the elephant appears above them rather than between the pads. It seems the gripper slipped off during the lift. The overhead view also shows the elephant near pixel (305, 240), still on the table, so I judge the test lift unsuccessful. Perhaps the contact was on the rounded body at too great a height, or the fingers closed around the legs and then slipped. A regrasp should use a better orientation and lower body contact. I could return the right wrist to the downward orientation instead of retaining its -70-degree rotation about local X, closing along world X across the broad side. Would that allow a link6 grasp height of 0.923 m at x = -0.04 m, y = -0.10 m? The earlier orientation limited the cross-table descent to about 0.945 m. The downward orientation would change the kinematics and camera offset and might reach 0.923 m, but the cross-table reach would remain difficult. Instead, I’ll leave the second elephant for the left arm after placing the brown elephant. The left base is near x = -0.30 m and the object near x = -0.04 m, giving an estimated crosswise reach of 0.26 m, compared with 0.34 m from the right base. The left arm should have an easier approach. The right gripper appears empty, so there is nothing to release onto the table; it should open and withdraw. The left arm still holds the brown elephant. The right arm has already transferred the black watch and can now work on the yellow toy near x = -0.10 m, y = -0.21 m, or later help with the watches. I’ll have it retreat toward clear front space at (0.05, -0.25, 1.03) m, then approach the yellow toy near (-0.095, -0.21) m in the table plane. It could grasp and hold the yellow toy while the left arm places the brown and second elephants, then place the yellow toy in blue. Although the current opening command is 0.15, the previous target still commanded closure. I need to command the right gripper open for the withdrawal. For the proposed retreat, I’ll retain the right wrist’s -70-degree rotation about local X relative to downward and target (0.05, -0.25, 1.03) m. I estimate the displacement as 0.198 m, within the command bound, and the precheck may pass because this is a retreat. At the same time, the left wrist could begin the improved placement tilt while holding the brown elephant at its current link6 position, (-0.153, -0.10, 1.076) m. The empty right gripper is at (-0.022, -0.092, 0.975) m, giving an estimated initial separation of 0.166 m. There is some concern about their initial proximity, but the right retreat moves toward negative Y and positive X, while the left tilt moves the held brown elephant toward positive Y and rightward into blue. Those paths should increase their separation. I’ll use a 50-degree forward tilt and a 15-degree rightward tilt for the left wrist, keeping its link6 position unchanged. The composition is the world-frame rotation Ry(-15 degrees) × Rx(50 degrees) applied to the downward orientation. I estimate the whole orientation change at about 0.892 rad, below the 1.0 rad limit. I am considering 8 control steps for this tilt and the open right-arm retreat. The tilt should move the held brown elephant inward and upward; its bottom is initially estimated at z = 0.92 m, which should clear the blue rim. Before commanding that motion, I’ll calculate the left target quaternion, its local-X direction, and its orientation distance from downward.

I’ll use 8 control steps to tilt the left wrist to the calculated orientation while maintaining its grasp on the brown elephant. At the same time, I’ll open the empty right gripper and retreat to the planned clearance waypoint.

The objects are now clear. The brown elephant on the left is lying on its back, though I am unsure of its world position. The second elephant on the right appears to be standing on its side, with the first watch between them. The yellow toy now looks like a lion. The black watch remains stable at the transfer spot. I’ll use the same angled grasp orientation for both arms, composing a 30-degree world-X rotation with the downward orientation: qA = Rx(30 degrees) × qdown. This keeps the closing direction along world X; the camera may point forward. I’ll calculate the quaternion and rotation matrix, and check the orientation distance from each arm’s current pose.

The right wrist is 1.316 rad from the angled grasp orientation qA, exceeding the 1.0 rad command limit, so it needs an intermediate orientation. Rotating directly from its current -70-degree local-X rotation relative to downward back to the downward orientation would also require 70 degrees, or 1.222 rad, exceeding the limit. I can instead use a -35-degree local-X rotation relative to downward as the intermediate orientation, q-35. The first rotation would be 35 degrees, or 0.611 rad. I am unsure of the quaternion components; one might be around 0.300, so I should calculate them. From q-35 to qA, which applies a 30-degree world-X rotation to the downward orientation and has no local closing-direction rotation, I estimate the whole orientation change as sqrt(30² + 35²) = 46 degrees, or 0.804 rad, below the limit. This gives the right wrist a two-stage rotation. The left wrist is only about 0.276 rad from qA, so I can target qA directly while holding its position at link6 height 1.12 m. I could rotate the open right gripper to q-35 at its current link6 position, (0.028, -0.17, 1.015) m. I estimate its fingertips at z = 0.857 m and the second elephant’s top at z = 0.81 m, leaving clearance. Still, could the rotating fingers sweep into the yellow toy or a watch? The second elephant is near (x, y) = (-0.03, -0.10) m, and the yellow toy is near (-0.095, -0.21) m. I estimate the rotating fingers would remain at z = 0.85 m or higher, above the objects at about z = 0.81 m, with roughly 0.04 m clearance. That may be safe, but retreating farther while rotating would be better. I’ll use the right waypoint (0.05, -0.25, 1.03) m while rotating toward q-35, an estimated position change of 0.083 m. I plan to use 8 control steps for this retreat and rotation while the left wrist rotates to qA at height 1.12 m, with both grippers open. First, I’ll calculate q-35.

I’ll use 8 control steps to rotate the open left gripper directly to the fixed forward approach angle, while rotating the open right gripper to its intermediate orientation and retreating to the planned clearance waypoint.

The right wrist’s measured quaternion, beginning [0.218, -0.673, …] in wxyz order, appears to correspond to about a -52-degree rotation about local X relative to the downward orientation, so it has only partly reached the -35-degree intermediate target. Could I now move directly to qA, the orientation with a 30-degree forward rotation about world X? I estimate the remaining whole-orientation distance might be about 1.4 rad, perhaps 1.38 rad, which exceeds the 1.0 rad command limit. I should first finish moving to q-35, allowing 4 control steps, then target qA. The left wrist has reached qA, so I could begin its approach to the brown elephant while the right finishes its intermediate rotation. I need to localize the brown elephant’s grasp point in the new view. In the left wrist image, it appears upside down, centered around pixel (375, 390), with its legs near (350, 360) and its body near (370, 420). The second elephant appears near (490, 340). Part of the brown elephant’s body may extend beyond the bottom of the image. Could I grasp its legs instead of its body? The upward-pointing legs offer narrow protrusions that might provide a stable grasp. With the fingers closing along world X, which is horizontal in this image, I could perhaps grasp across two legs. A point around (365, 385), at the torso and leg group, might let the pads contact the outer legs at the same image row. That seems more secure than gripping the smooth, rounded back. A tentative world-frame target for the leg cluster is x = -0.12 m, y = -0.13 m, z = 0.81 m. I should triangulate the contact point rather than rely on that estimate. In the overhead image, I tentatively locate the brown elephant’s center at (265, 247), its four visible legs near (260, 238), and its body near (270, 255). The initially selected wrist point is (365, 385), but for triangulating the top of the leg group I would use overhead pixel (260, 238) paired with wrist pixel (365, 370). I need to inspect these possible correspondences more closely. Because qA is angled, the link6 target cannot simply use the contact point’s X and Y coordinates. For a desired world-frame contact point P, I can estimate the link6 target as P minus 0.12 m along the rotated local-X axis, using 0.12 m as an approximate contact offset. This gives (Px, Py - 0.5 × 0.12, Pz + 0.866 × 0.12), or approximately (Px, Py - 0.06, Pz + 0.104) m. I can also project the current estimated contact center, C = link6 position + 0.12 × the rotation matrix’s local-X column, into the wrist camera. Moving link6 so that C matches P would align the grasp axis at that assumed contact distance. I should obtain P from stereo localization, then apply this link6-target formula. I am considering a contact point at the brown elephant’s leg/body junction, perhaps at z = 0.80 m. Before choosing it, I’ll prepare enlarged crops of the current left wrist and overhead images to inspect the shape and identify matching points.

I’ve prepared an enlarged left-wrist crop of the brown elephant. I’ll inspect its body and leg geometry to choose a suitable contact point for the fixed-angle recovery grasp.

The brown elephant appears upside down, with its legs toward the top of the image and its belly toward the bottom. Could I secure it by closing across two central legs? I initially identify the left front leg near x = 320, though I am unsure whether that is an original-image coordinate. The wrist crop has an x origin of 280 pixels and is enlarged by a factor of 4: its 720-pixel width corresponds to 180 pixels in the original image. In crop coordinates, I tentatively identify the leftmost trunk at x = 220, corresponding to original-image x = 335; a large left leg at x = 330, corresponding to 362.5; a central back leg at x = 420, corresponding to 385; and a right front leg at x = 500, corresponding to 405. The feature at crop x = 590, corresponding to original-image x = 427.5, might be the rightmost leg, a trunk, or part of the watch. The brown elephant spans approximately original-image x = 320–440, with its body base near (370, 440). I could close horizontally across two legs at original-image y = 370, contacting an outer left leg near x = 340 and an outer right leg near x = 425. I estimate the gap at about 0.08, which seems suitable. A possible contact center is (382, 375), but what is the world Z coordinate at the middle of the legs? The legs point upward in the image, but that may mean farther along world +Y rather than physically upward along Z. Is the elephant lying on its back, with its legs still horizontal on the table? My current interpretation is that its body rests on its side and the legs are horizontal, at approximately z = 0.79 m. Grasping across the legs near the belly may be stable. Another candidate contact center, nearer the leg bases, is wrist-image pixel (382, 390), perhaps corresponding to overhead pixel (265, 243). I should triangulate that point. I’ll inspect the overhead crop first.

The overhead crop starts at original-image pixel (230, 215) and is enlarged by a factor of 8. I tentatively place the elephant’s leg-and-belly center near original-image pixel (263, 245). The leg bases may correspond to overhead pixel (263, 242) and left-wrist pixel (380, 405), though that match is uncertain. To refine the correspondence, I estimate the large belly’s center at overhead-crop pixel (265, 270), corresponding to original-image pixel (263.1, 248.75). In the wrist crop, the belly center appears near (400, 440), corresponding to original-image pixel (380, 410). A possible grasp point at the belly and leg bases is overhead pixel (263, 245), paired with wrist pixel (375, 390). For the triangulation, I’ll use overhead pixel (263, 245) and left-wrist pixel (380, 390).

The triangulated belly contact point is (-0.1135, -0.1232, 0.7928) m. With the fixed forward-angle orientation qA and a contact offset of 0.12 m along the fingers, the corresponding link6 target is (-0.1135, -0.1832, 0.8967) m. Its height, approximately 0.897 m, is lower than the table-limited height for a vertical grasp, but the fingers are angled. Would the fingertips be at z = 0.793 m? Using their 0.1576 m extent and a vertical offset of -0.1364 m instead puts them at z = 0.7603 m, about 0.005 m below the estimated table height of 0.765 m. The 0.12 m contact offset still places the intended contact at z = 0.7928 m. A contact offset of 0.13 m looks better, placing the pads nearer the tips. This gives link6 z = 0.7928 + 0.1126 = 0.9054 m and y = -0.1232 - 0.065 = -0.1882 m, with the fingertips at z = 0.7690 m. I’ll use the rounded final link6 target (-0.114, -0.188, 0.905) m. I expect this to grasp the belly and leg bases with the tips about 0.004 m above the table. The fingers extend another 0.0276 m beyond the contact point, giving offsets of +0.0138 m in Y and -0.0239 m in Z. From the belly contact, that puts the tips near y = -0.1094 m and z = 0.769 m, which I judge to be within the object. The open gap is along world X and should straddle the estimated 0.08 m belly width. From the current left link6 position (-0.153, -0.103, 1.12) m to the final target, I estimate a distance of 0.239 m, within the 0.25 m command limit. However, that is a large final descent, so I’ll first use the intermediate target (-0.114, -0.188, 1.0) m, estimating its displacement as 0.163 m, before descending to z = 0.905 m. At the intermediate height, the estimated contact center is at z = 1.0 - 0.1126 = 0.8874 m, about 0.094 m above the object at z = 0.793 m. I’ll retain qA throughout. For the right wrist, I considered finishing the -35-degree intermediate orientation or proceeding to qA, and either holding its position or retreating. I’ll finish the -35-degree orientation at its current link6 position, (0.042, -0.219, 1.026) m, with the gripper open. Its current orientation is approximately -52 degrees relative to downward; qA can come later. I’ll use 8 control steps for both arms, moving the open left gripper to its intermediate approach pose while the open right wrist completes this rotation.

The left arm is moving slowly, perhaps because of its angle and position, and has not yet reached the intermediate approach pose. The right wrist has reached the intermediate orientation, which is rotated -35 degrees about local X relative to the downward orientation. I can now rotate it at its current position to qA, the fixed approach orientation tilted forward by 30 degrees about world X. I estimate the remaining whole-orientation change at about 0.8 rad, below the 1.0 rad command limit. The right gripper is open and high enough that I judge the rotation clear. I’ll use 8 control steps to continue the left arm toward its intermediate pose while rotating the right wrist to qA without changing its position.

The right wrist is closer to qA, the fixed 30-degree forward approach orientation, but has not reached it yet. The left link6 is at z = 1.013 m, and I estimate the brown elephant’s leg bases near image pixel (330, 280). Where is the grasp axis relative to the intended contact point? At the current link6 position of (-0.117, -0.179, 1.013) m, using a 0.13 m contact offset along local X gives an estimated contact center of (-0.117, -0.114, 0.9004) m. The desired contact point is (-0.114, -0.123, 0.793) m, so the estimated contact center is currently 0.107 m above it and offset by +0.009 m in Y. Does that explain why the object appears below the grasp axis? I should descend in short actions toward the final link6 target of (-0.114, -0.188, 0.905) m rather than remain at z = 1.0 m. The current XY position, (-0.117, -0.179) m, is already close to the target XY position, (-0.114, -0.188) m. I initially considered finishing that alignment at z = 1.0 m. I can then descend through z = 0.97 m, 0.94 m, and 0.905 m, using 3 control steps for each action. The right wrist should finish reaching qA before moving toward the yellow toy. The small yellow lion is standing, and a possible head or body contact point is approximately (-0.095, -0.21, 0.79) m. With qA and a 0.13 m contact offset, the corresponding link6 grasp target would be (-0.095, -0.275, 0.903) m. The right link6 is currently at (0.042, -0.218, 1.027) m with its rotation incomplete. Once it reaches qA, I could move to an intermediate target of (-0.095, -0.275, 1.0) m, estimating that displacement as 0.158 m. The transferred black watch at approximately (-0.05, -0.30) m is close to that approach, so the open right fingers might contact it during the descent. Relative to the proposed link6 grasp position, the watch is 45 mm to the right and 25 mm toward the front. A right finger might be near x = -0.04 m and y = -0.26 m, but what would its height be? I could move the watch away or choose a different contact point or orientation. The yellow toy and watch are about 0.1 m apart, while the open gripper width is approximately 0.11 m and the finger length approximately 0.16 m. The clearance is close but may be manageable: with qA, the fingers extend toward +Y, away from the watch behind them at y = -0.30 m. The camera or palm may remain near the watch, but at a greater height. I could defer the yellow-toy grasp until after placing the brown elephant to avoid simultaneous work near the same objects. However, the current approaches appear separated. I considered 6 steps to finish the right wrist angle while lowering the left to z = 0.97 m, expecting the left to arrive in about 3 steps and then hold. Since this is a final approach, I’ll use only 3 steps for both arms instead, accepting that the right rotation may need another action. I’ll lower the open left gripper to (-0.114, -0.188, 0.97) m and hold the open right gripper’s position while continuing toward qA.

The elephant’s leg-base center now appears at pixel (330, 285). The open left fingertip is near (100, 270), and the right fingertip is beyond image x = 640 pixels, so the object fits between them. I’ll continue lowering the left link6 to z = 0.94 m, then later to 0.905 m. The right wrist has nearly reached qA, the fixed 30-degree forward approach orientation. I can begin moving it toward the yellow toy’s intermediate link6 target of (-0.095, -0.275, 1.0) m while finishing the rotation. From its current position of (0.042, -0.217, 1.028) m, I estimate the displacement as 0.164 m and the remaining orientation change as perhaps 0.2 rad. The precheck may pass. Could that right-arm motion pass over the second elephant? The path moves from x = 0.042 m, y = -0.217 m toward x = -0.095 m, y = -0.275 m, toward the front-left and away from the second elephant near y = -0.1 m, so I judge it clear. The yellow toy is at the destination, with the fingers still high above it. I’ll use 6 control steps for both arms, keeping both grippers open, lowering the left to z = 0.94 m and moving the right to the intermediate target with qA.

The left link6 is at x = -0.122 m rather than the target x = -0.114 m, and its quaternion differs slightly from the target, possibly because of contact with the object. The brown elephant remains stable. The right quaternion is [0.620, -0.357, 0.353, 0.602] in wxyz order, so it is not exactly qA. Its w and z components appear swapped relative to the target. Could this reflect an IK tradeoff between position and orientation, or some negative yaw? I am unsure. With qA’s w and z components both approximately 0.612 and the current z component at 0.602, the difference is only about 0.02, which seems acceptable. Using qA and a 0.13 m offset along local X, I estimate the left contact center at (-0.122, -0.120, 0.825) m. The desired belly contact height is z = 0.793 m, so I estimate that another 0.032 m descent would bring link6 to z = 0.906 m. The contact-center Y estimate is -0.185 + 0.065 = -0.120 m, close to the desired -0.123 m. Its X coordinate is -0.122 m rather than the desired -0.114 m, an offset of -0.008 m. I could correct X by +0.008 m while descending, but the previous target left the arm at x = -0.122 m, perhaps because of contact or joint constraints. At the current link6 height of 0.938 m, the belly is between the fingers. I’ll avoid forcing the full X correction and use the left target (-0.12, -0.188, 0.91) m with qA over 3 control steps. This grasp across the legs may be slightly left of center, but should still be within the object. The right arm has not yet reached its intermediate approach above the yellow toy. I’ll continue toward (-0.095, -0.275, 1.0) m with qA during the same 3-step action, keeping both grippers open.

The left arm moved farther left to x = -0.136 m, and its measured orientation deviated from the target. This suggests contact with an object or the table is constraining its motion. The overhead view shows the grippers close together near the same object, apparently touching around pixel (250, 220). Perhaps the right arm’s approach toward the yellow toy caused an arm-to-arm collision; the left pose deflection may be due to the right arm pressing against it. The right link6 is at (-0.029, -0.243, 0.989) m, and the left is at (-0.136, -0.18, 0.915) m. I estimate their separation as 0.134 m, close enough that the open fingers could collide near the two elephants. The yellow toy is near (-0.1, -0.21) m in the table plane, and the brown elephant is near (-0.12, -0.12) m. I should stop manipulating both arms within this crowded central area and separate them. At step 400, there are 700 control steps remaining. I initially considered withdrawing the right arm to (0.05, -0.30, 1.05) m while holding the left gripper open at its measured pose. The left fingers are around the elephant’s legs at link6 z = 0.915 m, so I can close them after the right arm clears. I should not move the left arm or continue approaching the yellow toy until there is adequate separation. For this action, I’ll retreat the open right gripper to (0.08, -0.32, 1.05) m over 4 control steps. I estimate the target distance as 0.171 m and judge the retreat toward the front-right to be safe. I could use the fixed approach quaternion qA, since the orientation change is small, but I’ll retain the measured wxyz quaternion [0.627, -0.367, 0.352, 0.59] to avoid extra rotation. Is it normalized? It appears to be a unit quaternion, so I’ll use it as measured. The left arm will hold its current measured position and orientation with the gripper open while the right withdraws.

The right arm has only partly completed its retreat. Is that enough separation to close the left gripper? The overhead view still suggests the grippers are close, but the right is moving away. I estimate the right black gripper near pixel (290, 270) and the left near (220, 240), with a gap of about 70 pixels, which may be safe. The left wrist’s measured orientation is not exactly the fixed approach orientation qA, but the fingers remain around the elephant’s legs and the object appears stable. I’ll close the left gripper at its current contact pose while continuing the right arm toward the same retreat target, using 4 control steps for both arms.

The left fingers are now around two or three of the elephant’s legs, with a reported opening command of 0.331. The grasp looks likely to be stable, and the right arm is clear. I’ll test the left grasp with a 0.034 m lift to link6 z = 0.951 m over 3 control steps, keeping the current wrist angle fixed even though it differs from the intended qA orientation. I’ll hold the right arm at its current pose with the gripper open; it does not need to approach again until the left has placed the elephant. Then I’ll check whether the elephant moves with the left gripper.

The elephant’s position relative to the left wrist view has changed noticeably, but it is still between the fingers. In obs_000408, the leg tops were around image y = 235 pixels; after the lift in obs_000411, they appear around y = 220 pixels, perhaps with contact nearer the fingertips. It may have shifted within the grasp while remaining held. The opening command increased from 0.331 to 0.415 despite closure being commanded; could interpolation explain that? The elephant seems to have shifted upward relative to the camera, but the overhead view leaves me uncertain whether it has actually left the table. My initial overhead estimates put the elephant near (250, 250) pixels before the lift and (245, 255) afterward, though I also estimate its current position near (245, 250). Those positions are nearly unchanged despite the gripper lifting. If the object were stationary while the wrist camera rose about 0.03 m, would it appear lower in the wrist image? With the wrist orientation fixed and a constant grasp, its image position should remain the same. More specifically, the central left and right leg tops in obs_000408 were approximately (250, 235) and (390, 260) pixels. In obs_000411, they appear near (225, 225) and (370, 265). The small orientation change and finger repositioning could explain some of that shift, while the overall image y position remains similar. That supports a grasp. However, a 0.03 m object lift should move its overhead projection upward by roughly 5–10 pixels, rather than downward. The contacts may be sliding. I’ll make a more decisive 0.08 m lift to link6 z = 1.026 m, keeping the wrist angle fixed and the left gripper commanded closed. I’ll use 6 control steps and hold the right arm steady, then inspect whether the elephant visibly rises with the gripper. If it slips and stays on the table while the fingers close empty, that should clarify the grasp state.

In the overhead view, the held elephant is now near pixel (225, 200), above the white basket’s front and the blue basket’s left side, with its lower legs near image y = 220 pixels. I could move the left link6 toward x = -0.03 m and y = -0.08 m. That target would require changes of (+0.108, +0.102) m in X and Y, an estimated distance of 0.149 m, perhaps keeping z unchanged at 1.065 m. Will the precheck pass with the measured wrist orientation held fixed? I’ll try the slightly nearer target (-0.04, -0.09, 1.065) m instead. Its X and Y changes are (+0.098, +0.092) m, with an estimated distance of 0.135 m. I expect the elephant’s overhead projection to shift about +50 pixels in X and -20 pixels in Y, toward (275, 180), inside the blue basket’s left side. I’ll use 6 control steps, keep the left wrist angle fixed, and hold the right arm steady.

In the overhead view, the held brown elephant appears near pixel (265, 185), with its center around image x = 270 pixels. The blue basket spans approximately image x = 265–375 pixels, so the elephant is still near its left edge. I’ll continue toward the left link6 target at x = -0.04 m, y = -0.09 m. Afterward, I might move farther inward to x = +0.02 m, y = -0.04 m. The current link6 coordinates are x = -0.091 m, y = -0.138 m, so the immediate target requires changes of +51 mm in X and +48 mm in Y. I estimate that this will shift the elephant’s overhead projection by +25 pixels in X and -15 pixels in Y, from approximately (265, 185) to (290, 170), placing it inside the basket toward the left-center. Then I can lower it. The target passed the earlier precheck, so I expect I can continue toward it. I’ll use 6 control steps, keeping the wrist angle fixed.

In the overhead view, the held brown elephant is near pixel (285, 170), inside the blue basket’s outline. The wrist view shows blue behind it and the object above the basket bottom; the second elephant remains outside below. I can now lower the held elephant with its wrist angle fixed. The left link6 is at z = 1.06 m. I am unsure of the object’s bottom height, but its legs appear near image y = 185 pixels, while the blue basket’s front rim is near y = 210 pixels, suggesting the object is above the basket. I could lower link6 to z = 0.97 m, a change of -0.09 m, while keeping its current XY coordinates of (-0.057, -0.106) m, or continue toward the earlier XY target of (-0.04, -0.09) m. The elephant is currently near pixel (285, 170), while a more central placement might be around (320, 175). Another option is to move link6 to XY = (-0.02, -0.09) m, adding +0.037 m in X and +0.016 m in Y. I estimate that would move the object’s projection to (303, 167), farther toward the center. A target of (-0.02, -0.09, 0.98) m would be approximately 0.094 m away, and the lower height might make the precheck easier. I need to avoid the front rim during descent. What is the object center’s world Y coordinate? I could estimate it from overhead image v = 170 pixels at an assumed z = 0.9 m, but I have not calculated that. The wrist view showing the blue bottom behind the object supports it being over the interior. With a vertical descent and fixed orientation, I expect the object to move downward in the image and land inside. I’ll choose the straight descent first: keep link6 at XY = (-0.057, -0.106) m and lower it to z = 0.97 m, with no horizontal motion. The elephant will remain near image x = 285 pixels, left of center but inside. I’ll use 5 control steps, maintain the grasp and wrist angle, then inspect the observation.

The brown elephant rotated significantly during lowering. In the left wrist view, its legs now point upward and its body remains between the fingers. The opening command has decreased to 0.231, and the wrist orientation has changed slightly. The elephant may have contacted the basket rim or bottom and been repositioned by contact forces; this does not necessarily mean it is slipping. The left link6 lowered only 0.045 m to z = 1.015 m rather than reaching the target of 0.97 m. Contact with the bottom or rim could explain both the resistance and the elephant’s rotation. In the overhead view, its body appears near pixel (285, 170), inside the blue basket. In the wrist view, the blue bottom is behind it, its body spans approximately image y = 0–300 pixels, and the front rim and finger contacts are near y = 300 pixels. The body appears inside and above the front edge. The elephant is likely supported, so I will release it without lowering farther. I’ll open the left gripper for 3 control steps while holding the right arm steady, then inspect whether the elephant settles inside the basket.

The brown elephant is now lying on its side fully inside the blue basket. In the wrist view, its body top is near pixel (400, 100), with blue surrounding it. It is partly occluded in the overhead view but appears inside. The open fingers are in the left and right foreground, with the released object ahead in the upper part of the image. I should withdraw without knocking it. Would moving backward along negative Y follow the horizontal part of the reverse finger axis? With the current wrist angle fixed forward and downward, I can retract upward and backward approximately along -local X = [0, -0.5, +0.866]. This should pull the fingers away along their axis rather than sweep across the object. Using the current link6 position minus 0.08 m along local X leaves X unchanged, decreases Y by 0.04 m, and increases Z by 0.069 m, giving a target of (-0.055, -0.146, 1.084) m. I’ll use 4 control steps with the left gripper open and its orientation unchanged, while holding the right arm steady. Then I’ll inspect whether the elephant remains contained. Once the left gripper is clear, I can recover the second elephant with the same fixed-angle grasp around its body or legs. I briefly considered having the right arm pick up the transferred black watch, but that is assigned to the left arm. I’ll use the left arm sequentially for the second elephant and the first watch, and let the right arm handle the yellow toy once the left is no longer nearby, avoiding crowding.

The brown elephant is contained in the blue basket, near overhead pixel (305, 175). The second elephant appears near overhead pixel (315, 235), with its body side near (390, 315) in the left wrist view. The first watch is to its left, near wrist pixel (240, 350). I’ll grasp the elephant with the left arm while retaining its current fixed wrist angle, targeting the body or leg bases. It appears to lie on its side, with its legs pointing down in the image, its carved body toward the left and lower left, its head at the upper right, and its trunk to the right. Would a mid-body grasp near (385, 300) be best, or should I grasp the legs? It might resemble the earlier upside-down pose, but my current interpretation is that it is on its side. A horizontal grasp across the torso just behind the head, near wrist pixel (390, 300), could contact the body at approximately x = 310 and x = 480 pixels. I estimate the watch near (230, 350). Although it is farther left, an open gripper centered at x = 390, with fingers near x = 0 and x = 600, could move its left finger through the watch before reaching the body if they overlap at the same image row. I’ll choose a higher contact row, near y = 290 pixels. Is the watch’s top near y = 310? Its ring appears to span y = 315–390, so a grasp at y = 290 should stay above it. I’ll use the upper-torso contact near wrist pixel (390, 290), tentatively matching overhead pixel (312, 228), to triangulate the world-frame point P. Then I’ll calculate the link6 target using a 0.13 m contact offset along the current local X axis. I’ll derive that axis from the measured quaternion rather than use the ideal fixed-angle quaternion qA, since the current orientation is close but not identical. The current left link6 position is (-0.056, -0.136, 1.063) m. I expect P may be near (-0.03, -0.12, 0.79) m, but I’ll calculate it before choosing the target.

The triangulated torso contact point is (-0.0168, -0.0753, 0.7806) m. Using a 0.13 m contact offset gives a link6 target of approximately (-0.014, -0.141, 0.893) m. The current wrist’s local X axis points slightly left, with an X component of -0.022, and forward. At that target, I estimate the fingertip height as 0.893 - 0.136 = 0.757 m, which is 0.008 m below the estimated table height of 0.765 m. I’ll use a 0.14 m contact offset instead. This gives link6 z = 0.7806 + 0.1208 = 0.9014 m and y = -0.0753 - 0.07065 = -0.14595 m. Is x approximately -0.0137 m? Subtracting 0.14 m along the local X axis from the contact point gives approximately (-0.0137, -0.1460, 0.9014) m. I estimate the fingertip height as 0.9014 - 0.1576 × 0.863 = 0.7654 m, essentially at table height. My final grasp target will therefore be link6 position (-0.014, -0.146, 0.901) m, placing the torso contact 0.14 m along the fingers. First, I’ll approach the intermediate position (-0.014, -0.146, 1.0) m with the current wrist orientation held fixed. From the measured left position of (-0.056, -0.136, 1.063) m, I estimate this move as 0.076 m, which seems straightforward. The right arm is farther away at (0.044, -0.295, 1.031) m. I’ll keep it stationary for now and wait until the left arm has grasped and lifted the second elephant before approaching the yellow toy, to avoid crowding. I initially considered 4 control steps for the left intermediate approach, followed by descents through z = 0.93 m and 0.901 m. For the immediate action, I’ll use 5 steps to reach toward the intermediate pose, with both grippers open and the right arm held steady.

The second elephant’s torso is centered near pixel (300, 290), with the watch visible to its left and the fingers spread open. I’ll lower the left link6 first to z = 0.94 m, then to z = 0.901 m, keeping the wrist angle fixed. At link6 z = 0.94 m, I estimate the torso contact center at z = 0.94 - 0.1208 = 0.819 m, which is 0.038 m above the estimated torso height of 0.781 m, so that intermediate approach looks safe. At link6 z = 0.901 m, I expect contact. I’ll use 4 control steps toward 0.94 m, then plan 3 steps toward 0.901 m, while holding the right arm steady.

At the current left link6 height of 0.954 m, the elephant’s torso appears large in the wrist view and the fingers remain open. I may use 0.915 m as the final grasp height rather than 0.901 m to avoid table contact. That would be a 0.039 m descent over 3 control steps, followed by closure. With a 0.14 m contact offset along the fingers and link6 at z = 0.915 m, I estimate the torso contact height at z = 0.794 m, close to the localized torso height of 0.781 m. The fingertips would be at z = 0.779 m, or 0.014 m above the table. They may not reach the lower part of the torso, but contact on its sides could still work. The alternative link6 target of z = 0.901 m would put the tips at z = 0.765 m, which also looks suitable. I’ll first descend to 0.915 m with the fingers open for 3 steps and inspect before closing.

The elephant has shifted relative to the wrist camera: its torso and head now appear centered near pixel (300, 250), and its body fills much of the view. The fingers remain open, with the pads alongside the head and torso. Closing at the current link6 height of 0.919 m may be sufficient. The nearby watch is now out of view to the left. It could be beneath the left finger, although it was visible beside the elephant in the previous view. I’ll close the left gripper for 4 control steps while keeping its pose fixed and holding the right arm steady.

The left fingers have not visibly closed much, and the reported opening command is 0.691. The elephant’s body is between the pads, which appear near image x coordinates 120 and 520 pixels, while the object spans approximately x = 130–550 pixels. The alignment looks good, but closure needs more time. I’ll maintain the pose and command the left gripper closed for another 3 control steps before performing a test lift.

The left gripper’s opening command is stable at 0.685, which looks good. I’ll test the grasp by lifting the left link6 to z = 0.955 m over 3 control steps, keeping the wrist orientation fixed.

The second elephant appears held and roughly fixed relative to the fingers. Its overhead center may still be near pixel (310, 240), so I am not entirely sure whether it has cleared the table. After the approximately 0.033 m test lift, the gripper moved upward a little, and the object probably moved with it. I’ll lift the left link6 to z = 1.06 m for 6 control steps, keeping the wrist orientation fixed and the grasp closed while holding the right arm steady, then transport it toward blue. The brown elephant already lies near pixel (305, 175), toward the blue basket’s left or center. Can the basket fit both large objects? I think the second can go toward the right or front, perhaps near pixel (340, 180). One possible intermediate translation would move link6 by +0.04 m in Y, from -0.145 to -0.105 m, and perhaps by +0.03 m in X to 0.015 m. I estimate that would shift the elephant’s overhead projection by +15 pixels in X and -15 pixels in Y, toward (325, 220). At the current link6 coordinates of (-0.015, -0.145) m, the localized torso grasp point is approximately (-0.017, -0.075) m, giving a relative Y offset of +0.07 m and approximately zero X offset. A link6 target at x = 0.02 m, y = -0.03 m would therefore put the torso near (0.02, 0.04) m, inside blue toward the center-right. Is that pose reachable at z = 1.0 m with the wrist angle fixed? It seems likely. I estimate the brown torso near (-0.02, 0.10) m from its overhead position, so the objects would be close, but stacking is acceptable if both remain contained and supported. Another placement target is link6 at x = 0.04 m, y = -0.05 m, putting the torso near (0.04, 0.02) m toward the front-right and away from the brown elephant at the back-left. My estimated blue interior bounds are x = [-0.1, 0.1] m and y = [-0.01, 0.15] m. The head appears upper-right in the wrist view and may extend about +0.03 m in X and +0.04 m in Y from the torso, placing it near (0.07, 0.06) m, inside the estimated right wall at x = 0.11 m. I am less certain whether the legs extend in the opposite direction, but they also appear likely to fit inside. After the clearance lift, I could target link6 at (0.04, -0.05, 1.0) m; I estimate the horizontal move from the current (-0.015, -0.145) m as 0.11 m, which seems straightforward. My preferred sequence is to lift to z = 1.06 m, translate toward (0.04, -0.05, 1.02) m, and then lower. For now, I’ll execute only the 6-step clearance lift.

In the overhead view, the second elephant appears held near the blue basket’s front at pixel (310, 200). The left link6 has only risen to z = 1.023 m. I estimate the elephant’s bottom may be at z = 0.83 m; would that clear the front rim during forward motion? The rim is estimated at z = 0.84 m, so the clearance is close. I’ll raise the left link6 to z = 1.08 m for 5 control steps before moving horizontally, then transport the elephant inward. I’ll hold the right arm steady.

In the overhead view, the second elephant may be sitting on the front rim rather than fully suspended. It appears near pixel (310, 190), with its legs near image y = 210 pixels and its body near y = 180 pixels; the blue basket’s front rim is also near y = 210 pixels. The left link6 is at z = 1.067 m, and I estimate the elephant’s bottom at z = 0.85 m, compared with the rim at z = 0.84 m. It may still be touching the front rim: the torso’s estimated world y coordinate is -0.075 m, the front rim is near y = -0.02 m, and the legs may be near y = -0.10 m. Some part of the elephant still seems to be in front of the basket. I’ll translate it inward while maintaining this height and keeping the wrist orientation fixed. The left link6 target is (0.04, -0.05, 1.067) m, with planned X and Y changes of (+0.056, +0.097) m and an estimated distance of 0.112 m. I expect this to put the torso near (0.04, 0.02) m in the table plane, inside the basket. The legs may still extend toward the front, but should be lifted. I’ll use 6 control steps and hold the right arm steady.

The left-arm waypoint at x = +0.04 m appears too far across at the current wrist orientation and height. I’ll try a nearer, lower link6 target of (0, -0.07, 1.04) m. From the current measured position of (-0.016, -0.147, 1.067) m, I estimate the target distance as 0.081 m, so it will likely be feasible. I expect this to put the elephant’s torso near x = 0 m, y = 0 m, inside the blue basket near its center. I’ll use 5 control steps, maintaining the left grasp and wrist angle while holding the right arm steady.

In the overhead view, the second elephant appears near pixel (310, 180), inside the blue basket. The wrist view is less clear: does its body overlap the front rim, and where is the front-wall line in the image? Its legs near the bottom of the wrist image, around y = 480 pixels, might be below the front wall or on the table in the foreground. The camera angle makes this uncertain. However, the overhead view places the legs near y = 190 pixels, within the basket outline whose front is near y = 210 pixels, so I judge the elephant to be over the interior. I should lower it until it is supported. The current left link6 height is 1.044 m. I estimate the torso contact height as 1.044 - 0.12 = 0.924 m, with the elephant’s bottom perhaps at z = 0.85 m. The basket bottom is around z = 0.78 m, leaving an estimated drop of 0.07 m. One option is to lower link6 to z = 0.97 m with the wrist orientation fixed and retain its current XY coordinates of (-0.007, -0.092) m. These are close to the preceding target of (0, -0.07, 1.04) m. Instead, I’ll target (0, -0.07, 0.98) m, moving slightly farther inward while lowering. I estimate the displacement as 0.065 m, and the lower target may pass the precheck. This resembles the successful placement of the brown elephant. I’ll use 5 control steps.

The second elephant rotated during lowering, and its legs now point toward the camera. Blue fills the background, so it is likely inside the basket and supported. The left gripper’s opening command has decreased to 0.415, suggesting contact with the object. I’ll release it now over 3 control steps. After release, I plan to withdraw the open left gripper upward and backward along the negative finger axis to avoid knocking the elephant. The current local X direction is approximately [-0.02, 0.505, -0.863], and link6 is at (-0.001, -0.069, 0.984) m. For a 0.08 m retraction, my planned target is (-0.001, -0.109, 1.053) m. I can release over 3 steps, then retract over 4 steps. For this immediate action, I’ll open the left gripper and hold the right arm steady.

Both elephants are now in the blue basket, with the second lying on its back. I’ll retract the open left gripper to link6 position (-0.001, -0.109, 1.053) m over 4 control steps, keeping its wrist orientation fixed and holding the right arm steady. I considered starting the right arm’s approach to the yellow toy during this withdrawal, since the left arm would move backward and upward while the right approaches from the front. However, they could still crowd each other before the left arm has moved far enough away. There are 608 control steps remaining and three objects left to sort: the yellow toy, the first watch, and the transferred black watch. The chocolate bars are sorted, and two wooden toys are in blue. The yellow toy belongs in blue, while both watches belong in the white basket, where I plan to use the left arm. Simultaneously grasping the yellow toy with the right arm and the transferred black watch with the left could cause crowding. Their estimated table-plane positions are (-0.095, -0.21) m and (-0.05, -0.30) m, only about 0.1 m apart. The first watch, near (-0.11, -0.12) m, is also only about 0.09 m from the yellow toy. One possible sequence is for the right arm to grasp the yellow toy and move away to hold it, while the left places the first watch in white; the right could then place the yellow toy while the left is at white, followed by the left placing the black watch. Parallel work could be feasible with enough separation. A simpler, safer choice is to have the right arm grasp and place the yellow toy first, then let the left place the watches one after another. I estimate about 100 steps for the yellow toy and 80 for each watch, totaling about 260 steps, within the remaining 608. The left arm can stay clear near the white basket during the yellow-toy manipulation. I considered moving it to (-0.25, -0.10, 1.10) m after retracting to free the blue approach. Rather than combine withdrawal and lateral movement in one action, I’ll first make the 4-step retraction to (-0.001, -0.109, 1.053) m. The next waypoint can be (-0.25, -0.15, 1.10) m toward the white side. The right arm will hold until the left is clear, then approach the yellow toy.

The two elephants in the blue basket are stable. The open left fingers are still near the front wall but are withdrawing. I should move the left arm toward the white-basket side while keeping its current wrist orientation. I first considered a link6 target of (-0.25, -0.15, 1.10) m. I estimate its displacement components as -0.248 m in X, -0.034 m in Y, and +0.061 m in Z. Using the squared terms 0.0615 + 0.0012 + 0.0037 gives an estimated distance of 0.2576 m, slightly above the 0.25 m command limit. I’ll instead choose (-0.23, -0.15, 1.09) m, estimating the distance as 0.235 m. This path crosses above the first watch near x = -0.11 m, y = -0.12 m. With the open fingers near link6 height 1.10 m and the tips at approximately z = 0.964 m, I expect clearance. I’ll move the left arm for 6 control steps while holding the right arm steady. The right arm should approach the yellow toy only after the left has moved away. Could the left wrist localize the first watch from that position while the right approaches the yellow toy? I’ll keep the left arm at x = -0.23 m, y = -0.15 m until the right lifts the yellow toy. The transferred black watch near (-0.05, -0.30) m is farther away.

The left arm is moving slowly and has advanced only about 0.06 m. I’ll continue toward the same withdrawal target for another 6 control steps. It is still over the front of the blue basket, but the fingers are high enough that I judge the motion clear. I’ll keep the right arm stationary.

The left arm is now near the white basket and far enough clear for the right arm to approach the yellow toy with its current wrist orientation held fixed. The yellow toy is only visible at the left edge of the right wrist view, but the overhead view and earlier triangulation estimate its body position at (-0.095, -0.21, 0.785) m. I’ll choose a grasp around the toy’s mid-body or head. I estimate its width at 0.04 m and its height at 0.035 m, and I’ll use P = (-0.095, -0.21, 0.79) m as the intended contact point. The current right wrist quaternion is [0.627, -0.367, 0.352, 0.59] in wxyz order; its local X axis may have a slightly different tilt from the planned orientation. I’ll calculate the rotation matrix and actual local X direction from that quaternion, then estimate the link6 target as P minus a 0.13 m contact offset along that axis.

The calculated right link6 grasp target for the yellow toy is approximately (-0.102, -0.273, 0.904) m. I’ll first approach the intermediate position (-0.102, -0.273, 1.0) m. From the current right position of (0.044, -0.295, 1.031) m, I estimate the move as 0.146 m and expect it to be straightforward. I’ll retain the measured right wrist orientation to avoid rotating during the approach. I’ll use 6 control steps, keeping the right gripper open and holding the open left gripper at (-0.149, -0.132, 1.076) m to stay clear. I could start grasping the first watch with the left arm while the right approaches the yellow toy, but those objects are nearby, so I’ll keep the left arm stationary.

In the right wrist view, the yellow toy appears at pixel (120, 250), the black watch’s center is at (250, 430), and the first watch is at the upper left. Moving the right gripper left should bring the yellow toy toward the center of the view and may move the black watch lower in the image. I’ll continue toward the intermediate target at (-0.102, -0.273, 1.0) m before grasping, using 5 control steps while holding the left arm steady.

The yellow toy appears near pixel (230, 280) in the right wrist view. The right link6 has not yet reached the target at x = -0.102 m, y = -0.273 m; its current x coordinate is -0.071 m. Moving farther left should bring the toy toward image x = 320 pixels. The black watch appears near pixel (340, 450). The right gripper’s left finger spans image x = 0–120 pixels near y = 300 pixels, while the yellow toy’s left edge is near x = 160 pixels. The open finger is close to the toy, but I see no contact. I’ll continue toward the same alignment target for 3 control steps.

The yellow toy’s body appears centered near pixel (285, 290) in the right wrist view. Moving the right link6 X coordinate from -0.092 m to the target of -0.102 m, a difference of 0.01 m, should center it exactly. I’ll descend first to z = 0.94 m, then toward z = 0.904 m, keeping the wrist angle fixed. The black watch is at the bottom right of the view, and the right gripper’s left finger is near the yellow toy’s left edge but remains open. For this action, I’ll use 4 control steps toward the right link6 target (-0.102, -0.273, 0.94) m with the current wrist orientation.

The yellow toy now fills much of the right wrist view and is centered near pixel (320, 320), which looks good. The black watch is out of view below, behind the gripper, with no apparent contact. The first watch is nearby at the upper left, around image y = 0–90 pixels; it seems clear of the finger, though I am checking that proximity. The right link6 is currently at z = 0.946 m. I estimate the contact center at z = 0.832 m and the yellow body’s contact point at z = 0.79 m, leaving a required descent of about 0.042 m. The previously calculated grasp target was z = 0.904 m, but I’ll first target z = 0.91 m, a descent of 0.036 m, over 3 control steps. Then I’ll close the gripper.

The yellow toy’s body is now centered near pixel (320, 350) in the right wrist view, with the open fingers on either side. Contact may be near the lower half of its torso, which could provide a stable grasp. I’ll close the right gripper for 4 control steps.

The right fingers are around the yellow toy’s body, and the reported opening command is 0.368, which looks promising. I’ll test the grasp by lifting the right link6 to z = 0.95 m, a planned rise of 0.038 m, over 3 control steps while keeping its wrist orientation fixed. I’ll hold the left arm steady.

The yellow toy appears held: it is mostly hidden beneath the gripper in the overhead view and stays fixed in the wrist view after the test lift. I’ll transport it to the blue basket with the right wrist orientation unchanged. The current right link6 position is (-0.101, -0.273, 0.948) m. Using a 0.13 m contact offset along its local X axis gives a relative offset of (0.0073, +0.0626, -0.1137) m, so I estimate the toy’s body position after the lift as (-0.094, -0.210, 0.834) m. For placement, I want the body near x = 0.04 m and y = 0.05 m. Its desired height is still a question; one option is a link6 target of (0.047, -0.0126, 1.02) m, which I estimate would put the body at (0.04, 0.05, 0.906) m. The right base is near x = +0.3 m, so link6 x = 0.047 m seems reasonable. How far forward would y = -0.013 m put the arm, and can it reach the blue front with this fixed angle? The earlier right grasp orientation, rotated -70 degrees relative to downward, was limited near (-0.026, -0.09, 0.945) m. The current forward angle and x = 0.047 m require less cross-body reach. I initially wondered whether y = -0.013 m was less forward, but it is actually more forward than -0.09 m; the fixed angle may help. One possible route is an intermediate link6 target of (0, -0.10, 1.03) m, an estimated 0.204 m move from the current pose and within the command bound, followed by (0.04, -0.02, 0.98) m, an estimated 0.09 m move. That would place the body in the front-right interior. Before translating, I should lift clear of the watches. The black watch is near (-0.05, -0.3) m, with an estimated height of 0.78 m, below the toy’s current estimated body height of 0.834 m. I’ll first raise the right link6 to z = 1.06 m, a planned rise of 0.112 m, over 6 control steps. The left arm will hold near the white basket, with no expected conflict. Afterward, I can use an intermediate waypoint of (0, -0.1, 1.06) m and a placement target of (0.04, -0.02, 1.0) m. There are already two elephants in blue; is the front-right space sufficient? The brown elephant appears near overhead pixel (290, 170), the second near (310, 190), and the right side near (345, 180) looks empty. The desired yellow body position at x = 0.04 m, y = 0.05 m might project near (340, 170), which looks suitable. For now, I’ll execute only the 6-step lift with the right grasp closed and wrist orientation fixed.

The right arm has only partially completed the lift, reaching link6 z = 1.017 m rather than 1.06 m. I could continue the lift for another 4 control steps, but I can also move directly toward the intermediate target (0, -0.1, 1.06) m. I estimate that target is 0.199 m from the current pose, within the 0.25 m command limit, and the precheck may pass. The yellow toy remains held, with its body bottom estimated at z = 0.9 m, clear of the first watch at about z = 0.78 m. I’ll move the right arm toward the intermediate target for 6 control steps with its wrist orientation fixed and gripper closed, while holding the left arm steady.

The right arm is approaching blue close to the idle left arm, and I am concerned they may be contacting again. The left quaternion’s third component changed from 0.34 to 0.331, the right quaternion’s w component changed from 0.627 to 0.617, and the left position changed by about 0.004 m. These small changes might reflect physical contact near the white and blue baskets; the overhead view seems to show the right upper arm pressing against the left, though I am uncertain. The right link6 is at (-0.057, -0.203, 1.037) m and the left at (-0.15, -0.128, 1.078) m. I estimate their separation as 0.126 m. In the overhead view, the left gripper appears near pixel (210, 200) and the right near (260, 230). The right wrist view shows the yellow toy with the first watch just left of the fingers, and the open left gripper is also near that watch. I should increase clearance. I should have moved the left arm farther toward white earlier: it only reached x = -0.149 m and stayed there rather than reaching the planned x = -0.23 m. I could retreat the left arm leftward and upward to (-0.25, -0.20, 1.12) m while holding the right arm with the yellow toy at its current pose. Alternatively, I can retreat the left while continuing the right toward (0, -0.1, 1.06) m above the blue approach. I expect the simultaneous motions to increase separation, since the right moves rightward and forward while the left moves leftward and backward. I estimate the left target distance as 0.137 m, within the command bound, and the right target distance as 0.12 m. I’ll use 6 control steps. I considered restoring the earlier fixed wrist orientations, but I’ll retain both current measured orientations to avoid adding rotation. The empty left gripper will remain open with quaternion [0.598, -0.363, 0.331, 0.633] in wxyz order. The right will remain closed around the yellow toy with quaternion [0.617, -0.376, 0.347, 0.598]. Although the right orientation differs slightly from the original fixed angle, the yellow toy remains fixed in the grasp, so I’ll use this current orientation for the continued transport.

The arm separation has improved. The yellow toy remains held at the blue basket’s front approach; in the overhead view it is near the first watch but above it. I initially plan to continue the right link6 toward (0, -0.1, 1.06) m, then toward the placement target (0.04, -0.02, 1.0) m. Its current position is (-0.033, -0.162, 1.053) m, and I estimate the move to the intermediate waypoint as about 0.07 m. The yellow body is approximately 0.063 m ahead of link6 along Y. At the intermediate link6 position with y = -0.1 m, its body would therefore be near y = -0.037 m, still in front of blue rather than inside. With link6 at y = -0.02 m, I estimate the body at y = +0.043 m. Its approximately +0.007 m X offset would put the body at x = 0.047 m when link6 is at x = 0.04 m, which looks suitable. I could skip the intermediate waypoint and move directly toward (0.04, -0.02, 1.0) m. The planned displacement components are (+0.073, +0.142, -0.053) m, which I estimate as a distance of 0.167 m, within the command bound. The precheck may pass with the right wrist angle fixed and the lower height; x = 0.04 m is closer to the right base, and y = -0.02 m seems likely to be reachable. Another option is (0.04, -0.02, 1.02) m, with an estimated distance of 0.171 m. If that passes, I expect 6–10 control steps to advance toward the blue interior. I estimate the yellow toy’s current bottom at z = 0.9 m and the rim at z = 0.84 m, so the path appears clear. The left arm could continue toward its previous target of (-0.25, -0.2, 1.12) m, but its current x = -0.217 m already gives clearance. I’ll hold it at its current pose instead. I’ll use 8 control steps to move the closed right gripper toward (0.04, -0.02, 1.02) m with its current wrist orientation unchanged. If the precheck fails, I’ll use an intermediate waypoint.

The yellow toy is over the right interior of the blue basket, visible near pixel (340, 160) in the overhead view. I’ll lower the right link6 toward (0.04, -0.02, 0.95) m while keeping the wrist orientation fixed. Its current measured position is (0.03, -0.047, 1.024) m, so I estimate the target displacement as about 0.08 m. The precheck will likely pass. I’ll use 5 control steps.

The yellow toy still appears held, but is it already on the basket bottom? In the overhead view, it is near pixel (335, 175), lying against the second elephant, and the right gripper is lower. The right link6 height is 0.963 m. I estimate the body contact height at z = 0.85 m, the basket bottom at z = 0.78 m, and the toy’s height at 0.04 m, putting its bottom near z = 0.81 m and perhaps close to support. It may be supported by the second elephant or the basket bottom. The opening command is stable. I’ll release the toy over 3 control steps, then withdraw along the negative finger axis. The right wrist’s local X direction is approximately [0.06, 0.48, -0.875]. For a planned 0.08 m retraction, I estimate position changes of -0.005 m in X, -0.038 m in Y, and +0.07 m in Z, taking link6 from (0.037, -0.022, 0.963) m to (0.032, -0.06, 1.033) m. For this immediate action, I’ll only open the fingers over 3 steps.

The yellow toy has settled inside the blue basket. I’ll retract the open right gripper to link6 position (0.032, -0.06, 1.033) m over 4 control steps, keeping its wrist orientation fixed and holding the left arm steady. Then I’ll handle the watches.

The blue basket looks good, and only two watches remain. The first watch appears near overhead pixel (270, 250); I still need to confirm its world position. Its ring appears near (475, 300) in the left wrist view, with a refined center estimate of (475, 305). The transferred black watch is near overhead pixel (290, 337). I’ll use the left arm to place both watches in the white basket. The open right gripper should withdraw toward its initial area or stay clear at a staging position such as (0.3, -0.3, 1.05) m, keeping approximately its current orientation. I can move it toward home while the left handles the watches, but I’ll reset only at the end. From its current link6 position of (0.034, -0.055, 1.02) m, I estimate a move to (0.25, -0.25, 1.08) m as 0.302 m, exceeding the 0.25 m command limit. An intermediate waypoint of (0.18, -0.18, 1.06) m is an estimated 0.195 m away. I could use 8 control steps for that withdrawal while the left aligns over the first watch, provided the motions are sufficiently independent. The left link6 is at (-0.217, -0.173, 1.105) m. Earlier triangulation from obs_000446 placed the first watch at (-0.1096, -0.1202, 0.7638) m. It may have shifted during the yellow-toy manipulation, although its overhead location still appears to be (270, 250). I’ll triangulate its current center using that overhead pixel and left-wrist pixel (475, 305). A vertical grasp would be easiest for the thin ring, but the left wrist’s current angled orientation can also support a diametric grasp with the pads near the table. Keeping that angle should make placement into white easier and avoid further wrist rotations. I’m considering a contact point P at the outer ring’s center, with estimated z = 0.77 m, and a 0.14 m contact offset along local X to bring the fingertips to the table. I tentatively estimate the current local X direction as [-0.03, 0.49, -0.87]. Using P minus 0.14 m along that axis, I initially estimate the link6 target as (-0.105, -0.19, 0.884) m, while my height estimate of 0.77 + 0.122 gives z = 0.892 m; these remain rough estimates. I estimate the fingertips at z = 0.77 m. One possible approach is to move link6 to (-0.105, -0.19, 1.0) m, then descend toward z = 0.895 m. With the ring center near x = -0.11 m, y = -0.12 m, that link position is in front of it, allowing the fingers to extend forward to the ring and close along world X across its diameter. The ring center needs to align at the 0.14 m contact offset, with the open fingers descending on either side. Misalignment could push the thin ring, so I’ll first check its current position using both views.

The black-watch correspondences are wrong because the right wrist view shows the blue basket rather than the watch, so I’ll disregard that result. The first watch’s estimated contact point is P = (-0.104, -0.1213, 0.7694) m, with about 5 mm of triangulation error, which I consider acceptable. The left gripper’s current local X axis is approximately [-0.0209, 0.5170, -0.8558]. I initially consider a 0.15 m contact offset along the fingers. This gives link6 z = 0.7694 + 0.15 × 0.8558 = 0.8977 m and fingertip z = 0.8977 - 0.1576 × 0.8558 = 0.7628 m, about 0.002 m below the estimated table height of 0.765 m. A 0.145 m offset would give link6 z around 0.8935 m and fingertip z around 0.758 m. Rechecking, 0.1576 × 0.8558 = 0.13485 m and 0.145 × 0.8558 = 0.12409 m, giving link6 z = 0.89349 m and fingertip z = 0.75864 m. Does a larger offset put the tips farther below the table? The relationship is link6 z = Pz + offset × 0.855 and fingertip z = Pz + (offset - 0.1576) × 0.855. With a 0.14 m offset, the fingertip height would be 0.7694 + (-0.0176) × 0.855 = 0.7543 m. To put the fingertips at table height, the required offset is 0.1576 + (0.765 - 0.7694) / 0.855 = 0.1576 - 0.0051 = 0.1525 m. I’ll use 0.152 m, placing the contact near the fingertips. This gives link6 z = 0.7694 + 0.152 × 0.8558 = 0.8995 m and fingertip z = 0.8995 - 0.13485 = 0.76465 m. Contact within the last 0.005 m of the pads seems necessary for this thin watch. For the wooden toys, I used 0.14–0.15 m offsets, and the table height was determined. The resulting link6 coordinates are x = -0.104 + 0.00318 = -0.1008 m, y = -0.1213 - 0.07865 = -0.19995 m, and z = 0.8995 m. My rounded final grasp target is (-0.101, -0.200, 0.900) m, but I’ll first approach the intermediate pose (-0.101, -0.2, 1.0) m. From the current left pose of (-0.217, -0.173, 1.105) m, I estimate that move as 0.158 m. I’ll keep the wrist orientation fixed. At the same time, I’ll retreat the right arm to (0.18, -0.18, 1.06) m. The left will move rightward and downward toward the watch while the right moves rightward and backward away from blue. Is their current separation about 0.251 m, comparing left x = -0.217 m with right x = 0.034 m? At the targets, left x = -0.101 m and right x = 0.18 m give a gap of about 0.28 m, which looks adequate. I’ll use 8 control steps for both arms with both grippers open.

The watch appears centered near pixel (350, 270) in the left wrist view. The left link6 has not yet reached the alignment target of (-0.101, -0.2, 1.0) m; its measured position is (-0.12, -0.197, 1.017) m. Perhaps 3 more control steps will finish the alignment before I descend. The right arm has only partly withdrawn, reaching x = 0.079 m and y = -0.092 m, and is still near the blue and red baskets. With the left watch near (-0.1, -0.2) m in the table plane, I estimate about 0.2 m of separation and judge that safe. I can continue the right arm toward (0.18, -0.18, 1.06) m while the left finishes aligning, perhaps using 3 steps for each. I’ll allow 4 control steps for both arms.

The watch appears centered near pixel (310, 260), so the alignment looks good. I’ll lower the left link6 first to z = 0.95 m, then toward 0.90 m. At the current link6 height of 1.0 m, I estimate the contact center at z = 0.87 m and the watch at z = 0.769 m, leaving a gap of about 0.10 m. A 0.05 m descent to link6 z = 0.95 m would put the contact center at approximately z = 0.82 m, still about 0.05 m above the watch. I’ll use 4 control steps for this first descent. I could hold the right arm at its current XY position of (0.107, -0.116) m or continue its retreat toward (0.18, -0.18) m. It is high near the red basket and is no longer needed for the watch manipulation, so I’ll continue moving it into clear space. I’ll use 4 control steps for both arms, keeping both grippers open and the left wrist angle fixed.

The watch appears centered near pixel (310, 265), with an outer diameter of about 150 pixels. I initially wonder whether the open fingertips are near image y = 320 pixels; my more specific estimates put the left tip at (120, 260) and the right tip at (520, 260). The ring spans approximately image x = 230–385 pixels, so the fingers have clearance on both sides. The left link6 is currently at z = 0.957 m, with a planned final grasp height of 0.90 m, requiring a 0.057 m descent. I considered making that descent in 3 steps, or perhaps allowing 5, but I’ll divide the final approach into short actions: 3 steps toward z = 0.925 m, then 3 toward z = 0.90 m. For this action, I’ll lower the open left gripper only to z = 0.925 m. I’ll hold the open right gripper at its current position, (0.142, -0.146, 1.053) m, which appears to have sufficient clearance.

The watch appears large and centered near pixel (310, 275), with the fingers open around it. I’ll lower the left link6 to the final grasp height of z = 0.90 m, a planned descent of 0.027 m, over 3 control steps. Then I can close the gripper.

At the final grasp height, the watch appears centered near pixel (305, 285), with the fingers still spread wide. The closing direction is horizontal in the image, across the outer band’s sides near x = 180 and x = 430 pixels, which looks suitable for a grasp. Are the pads near the bottom? I expect them to contact the band around image y = 250–330 pixels. I’ll close the left gripper for 4 control steps.

The fingers are contacting opposite sides of the watch band, which looks promising. The reported opening command of 0.454 may have stabilized. I’ll test the grasp by lifting the left link6 to z = 0.938 m over 3 control steps, keeping the wrist orientation fixed.

The watch stays fixed relative to the gripper after the test lift, so I judge it held. I’ll place it in the white basket with the wrist orientation unchanged. The current left link6 position is (-0.101, -0.2, 0.935) m. Using a 0.152 m offset along the finger axis, I estimate the watch center’s offset from link6 as (-0.0032, +0.0786, -0.1301) m, giving a current watch position of approximately (-0.104, -0.1214, 0.805) m. Is the white basket’s center at world x = -0.30 m? My earlier estimate was x = -0.30 m, y = 0.09 m, with interior bounds of x = [-0.40, -0.20] m and y = [-0.02, 0.16] m. I want the placed watch center near (-0.30, 0.06, 0.82) m. Subtracting the estimated finger-axis offset gives a link6 target of (-0.2968, -0.0186, 0.9501) m, rounded to (-0.297, -0.019, 0.95) m. From the current pose, the planned displacement is (-0.196, +0.181, +0.015) m, with an estimated distance of 0.267 m, exceeding the 0.25 m command limit. I therefore need an intermediate waypoint, initially considering (-0.22, -0.10, 1.0) m. The white basket should be comparatively easy for the left arm to reach because its base is near x = -0.3 m. At the final link6 target, I estimate the fingertips at z = 0.815 m, above the basket bottom at z = 0.78 m and below the rim at z = 0.84 m. The watch center would be at z = 0.82 m, inside and below the rim. During transport, I should keep the watch’s bottom above z = 0.84 m until it is inside. One possible sequence is to lift link6 to z = 1.06 m, putting the watch center near z = 0.93 m, then move to (-0.297, -0.019, 1.02) m, putting its center near z = 0.89 m. Should I then lower link6 to z = 0.90 m, or perhaps 0.91 m to put the watch bottom near z = 0.78 m? Those remain alternatives. With an estimated watch thickness of 0.015 m and the center about 0.130 m below link6, a link6 height of 0.95 m gives a center near z = 0.82 m and a bottom near z = 0.812 m. If the basket bottom is around z = 0.79 m, that leaves only a small drop, so I’ll use 0.95 m for placement. At a transport link6 height of 1.02 m, I estimate the watch bottom at z = 0.882 m, above the rim. My selected route is to lift toward z = 1.04 m and pass through (-0.23, -0.09, 1.04) m before moving to the final target (-0.297, -0.019, 0.95) m. I can combine the lift and intermediate translation: I estimate the move from the current pose to that waypoint as 0.198 m, within the command limit. The watch will move upward, leftward, and forward. Is the white basket’s front rim near y = -0.02 m? At the intermediate waypoint, I estimate the watch center at (-0.233, -0.011, 0.91) m, already over the front interior, with its bottom near z = 0.90 m and clear of the rim. The final move would carry it farther left and forward while lowering its center toward (-0.30, 0.06, 0.82) m. The precheck will likely pass. I’ll use 8 control steps for the intermediate move while holding the right arm steady, then plan 6 steps toward the final placement pose.

The watch is held near the white basket’s front-right edge, and the white basket fills the upper-left part of the wrist view. The current left link6 position is (-0.189, -0.13, 1.003) m, and I estimate the watch center at (-0.192, -0.051, 0.873) m. With the basket’s front interior at approximately y = -0.02 m, the watch is still just outside. Continuing to the intermediate link6 target (-0.23, -0.09, 1.04) m would put the estimated watch center at (-0.233, -0.011, 0.91) m, near the front edge. The final link6 target (-0.297, -0.019, 0.95) m would put its center near (-0.30, 0.06, 0.82) m. I can instead go directly to that final target: the planned displacement from the current pose is (-0.108, +0.111, -0.053) m, with an estimated distance of 0.164 m, within the command limit. The precheck will likely pass. I’ll use 8 control steps to move the watch inward and lower it with the wrist angle fixed, then inspect the observation. The right arm will hold its current pose.

The watch is fully over the white basket bottom. The current left link6 position is (-0.28, -0.04, 0.958) m, close to the preceding target of (-0.297, -0.019, 0.95) m. I estimate the watch center at (-0.283, 0.039, 0.828) m, its bottom at z = 0.82 m, and the basket bottom at z = 0.78 m, leaving a drop of about 0.04 m. In the overhead view, the watch appears inside the white basket near pixel (180, 180). Further lowering may not be necessary because the watch is already inside and close to the bottom. I’ll open the left gripper for 3 control steps at the current pose, then retract along the same approach axis.

The first watch is inside the white basket. I’ll retract the open left gripper 0.08 m along the negative finger axis while keeping its wrist orientation fixed. Its current link6 position is (-0.28, -0.04, 0.958) m, and I estimate the axis direction as [-0.02, 0.517, -0.856]. The planned retraction gives changes of approximately (+0.0017, -0.0414, +0.0685) m, for a rounded target of (-0.278, -0.081, 1.027) m. I’ll use 4 control steps. Next I’ll approach the transferred black watch, visible near overhead pixel (290, 337). The right arm placed it with link6 near (-0.05, -0.30) m and the orientation rotated -70 degrees relative to downward; I am still questioning that orientation’s interpretation. I estimate the released watch’s center near (-0.05, -0.30, 0.77) m. For the left fixed-angle grasp, I’ll use contact point P = (-0.05, -0.30, 0.769) m. Subtracting a 0.152 m offset along the finger axis gives an estimated link6 target of (-0.0468, -0.3786, 0.8995) m. This is in front of the watch and should be easy to reach from the left base near x = -0.3 m, y = -0.5 m. The move from the planned retracted pose to the rounded grasp target (-0.047, -0.379, 0.900) m is estimated at 0.391 m, exceeding the 0.25 m command limit, so I’ll need an intermediate waypoint at (-0.17, -0.25, 1.02) m. The watch is at the front center of the table, where I see no obstacles. I could gradually move the right arm toward its initial pose while the left handles the final watch, but resetting both arms at the end makes that unnecessary. I’ll keep the right gripper open at (0.142, -0.146, 1.053) m near the red basket, away from the left arm’s path to the front-table watch. For now, I’ll execute only the 4-step left retraction.

The first watch remains stable in the white basket. The left arm moved only a little during withdrawal, but enough to proceed. I’ll move it to the intermediate link6 waypoint (-0.17, -0.25, 1.02) m toward the final black watch, keeping its wrist orientation fixed. I can simultaneously move the right arm farther toward clear space on its starting side, from (0.142, -0.146, 1.053) m to (0.25, -0.25, 1.08) m. I estimate that move as 0.161 m. These motions should increase the separation between the arms and help prepare for the eventual reset. Both paths appear clear. I’ll use 8 control steps with both grippers open, retaining the right wrist’s current orientation.

The left arm is moving toward its intermediate waypoint at (-0.17, -0.25, 1.02) m but has not reached it yet. The black watch remains unchanged near pixel (290, 337) in the overhead view. The right arm is near its starting side. I considered allowing 8 control steps for the left approach and perhaps 4 for the right arm to reach (0.25, -0.25, 1.08) m and then hold. I’ll use 6 steps for both arms, continuing toward these targets with both grippers open.

The black watch is not yet visible in the left wrist view; I think it is below the camera’s field of view. The left link6 is at y = -0.244 m, while the watch is estimated at y = -0.30 m, behind it in the negative-Y direction. Does the camera at this fixed wrist angle look downward and forward? I expect the watch to remain below the view until the arm moves closer. The final link6 grasp target is (-0.047, -0.379, 0.90) m, but I’ll first approach the intermediate pose (-0.047, -0.379, 1.0) m. From the current measured position of (-0.175, -0.244, 1.019) m, I estimate that move as 0.188 m, within the command distance bound. The estimated watch contact point is P = (-0.05, -0.30) m in the table plane. Since the finger axis extends forward along +Y, placing link6 behind it at y = -0.379 m should align the approach. Moving toward that more negative Y coordinate brings the arm toward the front of the table and leaves the watch ahead along +Y, so I expect it to enter the wrist view. I’ll keep the left wrist angle fixed and its gripper open, use 8 control steps toward the intermediate pose, and hold the right arm steady.

The black watch is visible near pixel (465, 445) at the lower right of the left wrist view and is not yet centered. The left link6 is currently at x = -0.122 m and y = -0.302 m. I’ll continue toward the target position (-0.047, -0.379, 1.0) m; moving rightward and toward the front should center the watch. I’ll use 6 control steps.

The black watch’s center appears near pixel (390, 355) in the left wrist view. I want to bring it nearer to approximately (320, 260). Continuing toward the link6 target at (-0.047, -0.379, 1.0) m will move the arm 0.035 m rightward and 0.036 m toward the front, in negative Y, from its current XY position of (-0.082, -0.343) m. Moving the camera right should shift the watch left in the image. Will moving toward negative Y also shift it upward? The watch is ahead along positive Y, so this motion actually moves the link away from it; I am unsure how that affects its apparent distance and vertical image position. The target was derived from the assumed watch contact point P = (-0.05, -0.30, 0.769) m. Using a 0.152 m offset along the finger axis, I estimate the current contact center as (-0.085, -0.264, 0.873) m and the contact center at the approach target as (-0.050, -0.300, 0.870) m. Thus, the target aligns the contact center with the watch in X and Y while keeping it about 0.10 m above the watch at link6 height 1.0 m. That supports continuing toward the same target. I expect the watch to move toward image x = 320 pixels, though its final vertical pixel coordinate remains uncertain. The first watch appeared near (310, 260) at a similar link6 height of 1.0 m. I’ll continue toward the current approach target for 4 control steps.

The black watch appears centered near pixel (330, 280), which looks good. The left link6 is currently at x = -0.053 m and y = -0.373 m, close to the desired x = -0.047 m and y = -0.379 m. I can correct these small offsets while lowering to z = 0.95 m. I’ll use 4 control steps toward the left target (-0.047, -0.379, 0.95) m while holding the right arm steady. Afterward, I plan to continue the descent through link6 heights of 0.925 m and 0.90 m.

The alignment looks good. I’ll lower the left link6 to z = 0.925 m over 3 control steps, then continue toward z = 0.90 m.

I’ll lower the left link6 to the final grasp height of z = 0.90 m over 3 control steps.

The black watch’s ring appears centered near pixel (320, 300), with the open left fingers on either side of its outer band. I’ll close the left gripper for 4 control steps.

The grasp looks promising. I’ll test it by lifting the left link6 to z = 0.938 m over 3 control steps, keeping the wrist angle fixed.

The black watch is held after the test lift, so I’ll place it in the white basket with the wrist angle fixed. The current left link6 position is (-0.048, -0.38, 0.933) m. Using a 0.152 m offset along the finger axis, I estimate the watch center at (-0.051, -0.3014, 0.803) m. I could use the same watch-center target of (-0.30, 0.06) m as for the first watch. The white basket’s estimated interior X bounds are [-0.4, -0.2] m, with its center at x = -0.3 m. The first watch appears near overhead pixel (190, 185), perhaps at world coordinates (-0.30, 0.07) m. Placing the second directly on top would be acceptable, but I could choose the right side at x = -0.26 m, y = 0.04 m to reduce overlap. Another candidate is (-0.27, 0.03) m, within the right-center area, although the watches might still overlap. Would (-0.32, 0.04) m be safer? If the first center is nearer (-0.30, 0.08) m, then (-0.27, 0.03) m would put the second slightly forward and right. I’ll use the watch-center target (-0.28, 0.04) m, 20 mm right and 40 mm forward of that estimate for the first watch. Subtracting the 0.152 m finger-axis offset gives a link6 placement target with x = -0.2768 m, y = 0.04 - 0.0786 = -0.0386 m, and z = 0.82 + 0.130 = 0.950 m. I’ll round this to (-0.277, -0.039, 0.95) m. The direct move is estimated at 0.393 m, exceeding the 0.25 m command limit, so I need an intermediate waypoint. For the waypoint (-0.17, -0.21, 1.04) m, I estimate displacement components of (0.122, 0.17, 0.107) m and a distance of 0.233 m, within the limit. From there, I estimate the final move’s components as (0.107, 0.171, 0.09) m and its distance as 0.222 m, also within the limit. The precheck may pass. At the intermediate waypoint, I estimate the watch center at (-0.173, -0.131, 0.91) m. Is it clear of blue, and does the path from the front toward white pass below anything? I see no intervening objects apart from the first watch already in its basket. The waypoint places the held watch near blue’s front, but at x = -0.17 m between the white and blue baskets, where I expect clearance. I also considered the intermediate waypoint (-0.20, -0.15, 1.04) m, initially estimating its distance at 0.263 m. From the current pose, its components would be dx = -0.152 m, dy = 0.23 m, and dz = 0.107 m. Using the squared terms 0.0231 + 0.0529 + 0.0114 gives 0.2957 m, above the 0.25 m limit, so I’ll retain (-0.17, -0.21, 1.04) m. I’ll use two motion stages, allowing multiple actions if needed. For now, I’ll command 8 control steps toward the intermediate waypoint with the left grasp closed and wrist angle fixed, while holding the right arm steady. I may then use 8 steps toward the final target; I estimate about 40 steps overall.

I’ll continue toward the intermediate left link6 waypoint at (-0.17, -0.21, 1.04) m for another 8 control steps, keeping the black watch grasped and the wrist angle fixed while holding the right arm steady.

The white basket is visible in the upper-left of the wrist view, and the black watch remains held. I should finish the intermediate waypoint before moving to the final placement pose. From the current left link6 position of (-0.144, -0.25, 1.017) m to the final target of (-0.277, -0.039, 0.95) m, I estimate the distance as sqrt(0.0177 + 0.0441 + 0.0045) = 0.2575 m, slightly above the 0.25 m command limit. I’ll first reach the intermediate waypoint at (-0.17, -0.21, 1.04) m, about 0.052 m away. From there, I estimate the final placement move as 0.222 m. I’ll use 4 control steps toward the intermediate waypoint.

I’ll move the left link6 to the final placement target of (-0.277, -0.039, 0.95) m, which is intended to put the black watch’s center near (-0.28, 0.04, 0.82) m. I estimate the first watch’s center in the white basket at (-0.30, 0.07) m in the table plane, so this should place the second watch toward its front-right. I’ll use 8 control steps for the placement motion, keeping the wrist quaternion fixed.

The black watch is not yet fully inside the white basket; the wrist view shows it at the front wall, with the first watch visible on the basket bottom in the upper-left part of the image. I’ll continue toward the final target, moving the left link6 forward by 0.074 m, left by 0.043 m, and down by 0.037 m. This should move the black watch into the basket. I’ll use 6 control steps.

The black watch is fully over the white basket bottom and touching the first watch, which I judge acceptable. I’ll open the left gripper for 3 control steps, then retract. After release, I expect all objects to be sorted, but I still need to verify native_success, which may not become true until the reset. The right gripper is already open, and the left will be open after release. I initially plan a 0.08 m retraction along the finger axis to left link6 position (-0.273, -0.085, 1.021) m, followed perhaps by a move to (-0.3, -0.25, 1.05) m with the wrist angle fixed. The right arm is already clear at (0.25, -0.25, 1.08) m. A reset allowing 50 control steps may be enough; the current wrist orientations differ from the initial ones, but robot_reset returns the joints. However, after the initial retraction, the left link6 would still be near the white basket at approximately (-0.275, -0.085, 1.02) m, with the fingertips angled forward into it. That could cause a collision during the return. It would be better to retract farther into open space in front of the white basket, to (-0.28, -0.20, 1.10) m with the gripper open, before calling robot_reset with 50 steps. There are 391 control steps remaining, which should be ample. For now, I’ll only open the left gripper for 3 control steps.

The black watch has fallen on top of the first watch, and both are inside the white basket. I’ll retract the open left gripper and verify that they remain contained. I’ll target left link6 position (-0.28, -0.16, 1.08) m with its wrist orientation fixed, using 6 control steps. The planned changes are -0.116 m in Y and +0.128 m in Z, with a total displacement of approximately 0.173 m, within the command limit. This moves the gripper backward and upward, roughly along the negative finger axis with additional clearance, which I judge safe. I’ll hold the right arm steady in its clear position.

Both watches are inside the white basket, and the three wooden toys—two elephants and the yellow toy—are inside blue. I previously saw both chocolate bars inside red, but their current visibility is limited, so I should check that the right arm’s movements have not knocked either out. The right wrist view from link6 position (0.25, -0.25, 1.08) m shows only a small red area at the top, without the contents. In the overhead view, the red basket is near pixel (450, 175), with a small white tip near (492, 182). Perhaps the bars are hidden behind the front wall; both are likely still inside. I attribute native_success remaining false to the required arm return. Before resetting, I need to clear the left arm farther from white. Its measured link6 position is (-0.278, -0.102, 1.014) m, and one open finger appears near the front rim at overhead pixel (195, 170). Resetting now could cause a collision. I’ll move the open left gripper to (-0.30, -0.28, 1.08) m with its wrist orientation fixed. The planned changes are -0.022 m in X, -0.178 m in Y, and +0.066 m in Z, for an estimated distance of 0.191 m, within the command bound. This withdraws it into clear front space toward its initial Y position. The right arm is already open and clear at (0.25, -0.25, 1.08) m. I’ll use 8 control steps for the left withdrawal, hold the right arm steady, and inspect the next observation.

The left gripper is still near the white basket’s front, but its fingertips appear at image coordinates (170, 200), with the basket front near y = 210 pixels. I judge the gripper to be in front of the basket rather than above it, with enough clearance to continue. I’ll use another 6 control steps toward the link6 target (-0.3, -0.28, 1.08) m to complete the withdrawal, then reset the arms. Should I inspect the baskets further before resetting? Perhaps one chocolate bar is visible on the right. The red basket looks empty in the overhead view, but the red wrapper may blend into the basket, and the white wrapper may be hidden behind the right arm. I could get a fuller view after the arms reset. I expect native success only after reset; if an object was misclassified, I would need to recover, but the episode might end unsuccessfully before that is possible. I’ll trust the earlier placements and continue the withdrawal for 6 steps.

Both arms are now in clear, open space. The left link6 is near its initial X coordinate, at approximately (-0.3, -0.264, 1.073) m, and the right is at (0.25, -0.25, 1.08) m. The left arm initially had y = -0.352 m and z = 0.921 m, and both arms need to return to their initial orientations and joint configurations. Their joints are still far enough from the initial configurations that I think 50 control steps should be sufficient; this is also the maximum allowed per reset call. All objects have been released, and both grippers are open and clear. I’ll call robot_reset using observation obs_000732 with 50 steps, then inspect the returned observation.

The episode has ended with native_success set to true, and the tool feedback reports that the task completed successfully. I can report that the watches were sorted into the left basket, the wooden toys into the middle basket, and the chocolate bars into the right basket. The reset feedback also says reached_home is false, despite native_success being true. Should I mention that detail? I should avoid claiming that the arms reached their exact initial configurations and instead say that the arm-return procedure was executed. I’ll briefly report the supplied successful outcome without calling any further tools.