按语言分拣物体任务成功

I need to operate the robot to sort the objects into their designated baskets, then reset both arms. I will first read the robot-manipulation skill instructions and the observation JSON before using robot_act for manipulation. My initial reading of the image is that the wooden toys are a cow on the left, a lion near the center-left, and a rabbit in the center. The green pepper is near the lion, the red pepper is near the left gripper, and the yellow pepper is near the right. The yellow car is near the lower-left center, and the green car is near the right. This appears to be eight objects total: three wooden toys, three peppers, and two cars. The left basket is white, the middle basket is blue, and the right basket is red. I need to place the wooden toys in the left basket, the peppers in the middle basket, and the cars in the right basket. I should use both arms efficiently within the 1100 control steps available. Camera calibration and visual inspection will help me map the scene to coordinates, and I can crop the saved observation images if needed.

I have read the manipulation skill; next I will read the initial observation JSON for the recorded robot state and camera calibration to support planning the sorting motions.

My back-projection formula was wrong. I scaled the camera-frame ray d using the target global z coordinate and d’s camera-frame z component, rather than solving for the ray scale under the coordinate transform. The camera transform is p_cam = R p + t. For ray d, I will use λ = (z − t_z)/(the third row of R dotted with d), or alternatively use the full inverse transform. My previous calculation used R⁻¹ with a ray scale based on d_z. I will revise the calculation.

The calculated x and y coordinates look plausible, but the z coordinates are unexpected. For the cow, I assumed z = 0.8, yet the printed p_z is 0.793. I expected the formula to produce exactly 0.8, so rounding to three decimal places should not explain this discrepancy. Could the formula for λ or the translation index be wrong? I loaded R = T[:3,:3] and t = T[:3,3]. R[2] is approximately [0, 0.5, -0.866], and t[2] is approximately 1.337. With d[2] = 1, I used λ = (z − t[2])/(R[2] @ d), followed by p = R.T @ (λd − t). I believe this should yield p_z = 0.8, but it does not. The recorded third row of T is [0, 0.50000009, -0.86602535, 1.33776], which looks correct. Could the loop variable z or the variable p be involved? The cow tuple is ('cow', 139, 229, 0.80), so its intended z input is clearly 0.8. Perhaps R is not orthonormal, although it appears approximately so; a difference of 0.007 seems far too large to explain that way. I will run a simple calculation for the cow alone and inspect R, t, d, λ, p, the forward transform, and R.T @ R.

Perhaps the table is at z = 0.75 m. The initial gripper tips are at z = 0.922 m and appear near pixel y = 275. With a tip’s world y coordinate estimated as −0.352 + 0.157 = −0.195 m and z = 0.922 m, would its projected pixel x coordinate be about 210? I will calculate the projections to check.

I initially thought the left finger tips were near pixel (89, 244). Could the gripper’s forward extent along local X project toward increasing image x? With the initial 90-degree rotation about Z, local +X points along environment +Y, so the environment x coordinate stays at −0.3 m. The projected tip center should therefore be near pixel x = 124, rather than 89. The black left finger tip appears near (88, 244), and the other finger near (149, 244), giving a center around x = 118. That agrees reasonably with the projection, so I think the end-effector mapping relative to the table is valid. The table is probably at z = 0.75 m. I estimate the toy centers at about z = 0.79 m, 4 cm above the table, and the car centers at z = 0.775 m, 2.5 cm above it. The basket bottoms appear to be at z = 0.75 m and their rims at z = 0.82 m. I can choose the grasp link6 height using the gripper geometry. With local +X pointing vertically down, the fingers extend 0.1576 m downward. At a link6 height of z = 0.9 m, the tips would be at z = 0.7424 m. To grasp an object body around z = 0.79 m, I could use a link6 height around 0.94 m, perhaps a target of 0.94–0.95 m. Should contact occur at the fingertips or farther along the fingers? The pads may span local x = 0.1–0.157 m, so at a link6 height of 0.93 m, their centers would be around z = 0.80 m. I will use the top-down quaternion [0.5, 0.5, 0.5, −0.5] in wxyz order. It points the fingers down and makes them close along environment +X. The wrist’s local Z maps to environment −Y; I am not yet sure what that implies for the camera orientation. I could approach the green car with the right arm at x = 0.259 m, y = −0.13 m, and a high link6 position of z = 1.05 m, while approaching the cow with the left arm at x = −0.377 m, y = −0.09 m, and z = 1.05 m. These objects are on separate sides. However, changing from the initial horizontal orientation to top-down requires about 90 degrees, or 1.57 rad, exceeding the 1.0 rad target bound. I need an intermediate orientation. Perhaps [0.6533, 0.2706, 0.2706, 0.6533] is halfway between the initial 90-degree Z orientation and the final orientation; I will calculate it with spherical linear interpolation. I considered taking 8–10 steps toward a high pre-grasp pose, perhaps first moving y by 0.05 m toward the objects and setting z = 1.00 m, with a halfway, 45-degree orientation. The cow is on the left and the green car on the right, so the arms can remain separated. Sending the final quaternion directly would exceed the orientation bound and be rejected. I will first compute the interpolated orientations, then plan an eight-step action with both grippers open, the left target at [−0.38, −0.09, 1.02] m, the right target at [0.26, −0.13, 1.02] m, and the halfway quaternion.

SciPy takes quaternions in xyzw order, so my final quaternion [0.5, 0.5, 0.5, −0.5] in wxyz order correctly becomes [0.5, 0.5, −0.5, 0.5] for SciPy. I initially read the intermediate quaternion as [0.8536, −0.3535, −0.3535, 0.14636] in wxyz order, but the printed output from s.as_quat()[0][[3,0,1,2]] actually gives [0.14636, −0.35353, −0.35353, 0.85358]. That interpolation seems wrong to me. With the initial quaternion approximately [0, 0, 0.7072, 0.707] and the final quaternion [0.5, 0.5, −0.5, 0.5], both in xyzw order, I expected the halfway quaternion to be [0.2706, 0.2706, 0.2706, 0.6533] in xyzw order, or [0.6533, 0.2706, 0.2706, 0.2706] in wxyz order. I constructed the input array as [[0, 0, 0.7072, 0.70699], [0.5, 0.5, −0.5, 0.5]] and used Slerp with times [0, 1], yet the result at t = 0.5 was approximately [0.146, −0.353, −0.353, 0.853] in wxyz order. It does not look halfway to me. Could this depend on how Rotation.from_quat interpreted the array or the final rotation? I will print the stored quaternions and rotation vectors, then inspect the interpolation at t = 0, 0.5, and 1 in both quaternion orders.

Could the unexpected Slerp result come from the initial quaternion not being exactly unit length? Its norm is about 0.9999998. I initially estimated the dot product of the initial and final quaternions as 0.3536 − 0.3536, roughly 1e-6, so they are nearly orthogonal. Normalizing their sum would give a halfway quaternion of approximately [0.3536, 0.3536, 0.1464, 0.8536] in xyzw order, or [0.8536, 0.3536, 0.3536, 0.1464] in wxyz order. I thought this was antipodal to the reported [0.146, −0.353, −0.353, 0.853], but the two do not look the same. Slerp appears to choose the sign of its path from the slightly negative dot product and flip the final quaternion. More precisely, q0 · q1 = 0.7072135 × (−0.5) + 0.70699996 × 0.5 = −0.00010677. Flipping the final quaternion therefore gives a different halfway result, along what seems to me a somewhat long path. I could use the normalized sum directly as the shortest-path interpolation, or choose the antipodal final quaternion. The original final quaternion is [0.5, 0.5, 0.5, −0.5] in wxyz order; its negative is [−0.5, −0.5, −0.5, 0.5], which becomes [−0.5, −0.5, 0.5, −0.5] in SciPy’s xyzw order. Its dot product with the initial quaternion is approximately +0.000106, and it represents the same final rotation. I would use [0.85358, 0.35353, 0.35353, 0.14636] as the halfway quaternion in wxyz order and [−0.5, −0.5, −0.5, 0.5] as the final quaternion. Is the shortest orientation difference actually about 2.094 rad rather than the 1.57 rad I previously assumed? The initial rotation is 90 degrees about Z, while the final orientation points local +X down and local +Y along world X. I now take their relative rotation to be 120 degrees, or 2.094 rad. Half of that is 1.047 rad, slightly above the 1.0 rad target limit. An interpolation fraction of 0.45 would give 0.942 rad, but the remaining rotation to the final pose would still be about 1.15 rad, requiring another intermediate pose at 0.75. I could instead use fractions 0.4, then 0.75, then the final orientation. Another option is a different downward-grasp quaternion, [0.707, 0, 0.707, 0] in wxyz order, which may require less rotation. It maps local +X down, local +Y to world +Y, and local +Z to world +X. Would its relative rotation from the initial 90-degree Z orientation be 90 degrees? This would make the fingers close along world Y. For the car, I want to close across its shorter dimension, but I am uncertain whether its length is roughly along world X and its width along world Y. The green car appears elongated diagonally down and right, from approximately pixel (424, 236) to (470, 255), suggesting a direction involving world X and Y. I could choose [0.707, 0, 0.707, 0] to close along world Y.

The previous left-arm target was 0.296 m away, exceeding the 0.25 m distance limit. I should use a nearer intermediate link6 position of [−0.34, −0.22, 1.01] m for the left arm and [0.28, −0.25, 1.01] m for the right arm. The right-arm intermediate target is about 0.16 m away. I can then continue toward the objects.

I used [0, 0, 1, 0] in xyzw order as the initial quaternion, but that represents a 180-degree rotation about Z rather than the robot’s initial 90-degree rotation. I should use approximately [0, 0, 0.7071, 0.7071] as the initial quaternion.

The smaller pitch succeeded. I estimate that the final downward orientation is still 1.256 rad from the measured orientation, exceeding the 1.0 rad limit. I could first use the intermediate quaternion [0.79865, 0, 0.2523, 0.54634] in wxyz order, with an estimated orientation change of 0.314 rad, then move to the final orientation with an estimated remaining change of 0.628 rad. That might be accepted because it is below 1.0 rad. The earlier change I estimated at 0.547 rad was rejected, whereas the 0.314 rad change was accepted. Perhaps this unexpected threshold is related to the size of the initial quaternion, q0; could the effective threshold be about 0.5 rad? I could use successive interpolation increments of 0.3 and expect two more orientation actions. Alternatively, the quaternion at interpolation fraction 0.4, [0.812, 0, 0.3321, 0.4799] in wxyz order, would be about 0.471 rad from the measured orientation and might be accepted. I will choose fraction 0.3, then aim for the final orientation. At the same time, I will move toward the pre-grasp link6 positions above the cow and green car: [−0.377, −0.09, 1.04] m for the left arm and [0.259, −0.13, 1.04] m for the right arm. I estimate the target distances as 0.135 m and 0.126 m, respectively.

The angular distance from the left arm’s measured orientation to the final downward grasp orientation may indeed exceed the 1.0 rad limit. I will calculate it to check.

The measured orientation is still far from the final orientation because it is lagging behind the command. The previous eight steps reached the target position but did not reach the intermediate orientation. Could the orientation discrepancy be due to a limit in the precheck’s target projection? The arms appear to be following the command, but slowly. I will repeat the previous intermediate quaternion, [0.837222, 0, 0.46193977, 0.29028466] in wxyz order, for 12 more control steps to let the measured orientations converge before attempting the final orientation.

I now estimate the orientation difference to the final vertical grasp pose at 0.471 rad, so the target should pass the orientation-distance check.

I will continue commanding the same targets for 8 more control steps to let both arms converge to the vertical grasp poses.

Both grippers now have the vertical quaternion [0.707, 0, 0.707, 0] in wxyz order. In the left wrist image, I estimate the cow’s center at pixel (294, 145), or approximately (294, 151) on another reading, with the fingers visible at the bottom left and right. What pixel location corresponds to the ideal grasp center? It may have x = 320, but I am unsure of its y coordinate. The midpoint between the visible fingertips might be around (320, 300), near the bottom of the image. I can use the wrist camera geometry, the object’s pixel location, and an estimated z coordinate to derive its 3D position and align link6 directly above it. The current left link6 position is [−0.377, −0.09, 1.04] m. I previously mapped the cow’s high-camera center at pixel (139, 229) to x = −0.377 m and y = −0.09 m, assuming z = 0.8 m, so I commanded a position directly above that estimated center. I need to understand the wrist camera’s optical axis relative to link6. It may not point exactly along local +X. The initial wrist extrinsics indicate an optical-axis direction of approximately [0, 0.866, −0.5] in the environment frame, pitched 30 degrees below horizontal. With the initial 90-degree rotation about Z, local +X points along environment +Y, so that optical direction corresponds to [0.866, 0, −0.5] in the link frame. This suggests the camera looks 30 degrees downward from the finger axis. For the current vertical orientation, the rotation matrix is [[0, 0, 1], [0, 1, 0], [−1, 0, 0]]. I briefly wondered whether the transformed optical direction would have a +0.5 environment-Y component, but multiplying this matrix by [0.866, 0, −0.5] gives [−0.5, 0, −0.866]. Thus, I interpret the optical axis as angled 30 degrees toward environment −X relative to downward. The object may therefore appear away from the wrist-image center even when aligned for grasping; there could also be an x or y alignment offset. I am still unsure which point along the fingers should define the grasp center relative to link6. In the high-camera image, I estimate the left fingertips at approximately (46, 220) and (94, 213), with a midpoint near (70, 216), whereas the cow is at (139, 229). Are the tips actually near the left side of the basket rather than over the cow? With link6 at [−0.377, −0.09, 1.04] m and local +X pointing down, the tips should have the same x and y coordinates and a height of about z = 0.882 m. I will calculate the high-camera projections to check this apparent discrepancy.

In the high-camera image, the left fingertip center may be near pixel x = 71 rather than the projected x = 114.5. I need to inspect a crop of the original 640-pixel-wide image. I tentatively see a lower black finger at (85, 215) and a silver finger base at (51, 214), with a midpoint near x = 68. Another reading puts the black endpoint at (86, 215) and the other finger at (51, 215), again giving a midpoint near x = 68 rather than 114. Could the projection discrepancy involve the finger geometry or orientation? The fingers extend 0.1576 m along local +X. With the current quaternion [0.707, 0, 0.707, 0] in wxyz order, local +X maps to (0, 0, −1), so the fingertips should point down and retain environment x = −0.377 m. Their projected x coordinate should be 114.5. The fingers are separated along local Y, which maps to environment Y, so their center should still have the same environment x coordinate. On another tentative reading, the tips are at (45, 211) and (99, 225), with a midpoint at (72, 218). I take the link6 position [−0.377, −0.09, 1.04] m to project to pixel (114.5, 166.4). Perhaps the fingers do not extend purely along local +X, or there is an offset in the model’s link6 transform or orientation, although the instructions specify the geometry explicitly. I may instead be misidentifying the visible parts. Does the left arm’s gripper end near (158, 166), with a black finger around x = 129–164 and y = 165? I also see what may be a silver base near the cow at (103, 153), with a black vertical piece extending to (111, 193). The apparent black fingers at (45, 211) and (86, 221) might be something else. I will zoom in to clarify which parts belong to the gripper.

I will open the enlarged left-gripper crop to clarify which visible parts are the fingertips and resolve the apparent mismatch with their projected positions before descending toward the cow.

The open fingers spread along world Y, which appears both horizontally and vertically in the image. I initially read the front black fingertip’s original-image x coordinate as about 107. Since the crop is enlarged fourfold, its coordinates are x = 432/4 = 108 and y = 463/4 + 110 = 225.75. Is the other fingertip partly hidden near the basket? I initially read its x coordinate as about 164, but the visible black tip near the basket’s left edge gives x = 492/4 = 123 and y = 294/4 + 110 = 183.5. The midpoint between the tips is approximately (116, 205), matching the projection. The cow’s center is at (139, 229), below and to the right. The gripper projects above the cow because of its current height. Descending straight should move the projected tips toward the cow’s pixel position at z = 0.8 m. At a link6 height of 0.94 m, the tips would be at z = 0.7824 m and should project near (139, 229), so I believe the x and y alignment is correct. The cow appears toward the upper left of the wrist image because the camera is angled toward −X; its image position will shift during descent. I can lower the left link6 to z = 0.94 m. For the right, perhaps 0.925 m would work. I estimate the car’s center at z = 0.775 m, with finger-pad contact at that height for a link6 height of 0.92–0.94 m. The fingers should contact the object rather than the table. At link6 z = 0.93 m, the tips would be at 0.7724 m, which seems ideal for the car. Another option for the cow is link6 z = 0.945 m, giving tips at 0.7874 m and perhaps body contact around 0.80 m. The fingers close along world Y. Is the cow’s long axis roughly along world X? Its head appears at the lower left and its rear at the upper right, suggesting that closing along Y would grip across its narrow body. I also need to check whether this direction crosses the car’s width or length. In the high-camera image, the green car’s front is approximately (424, 250) and its rear (470, 243). Its long axis is mostly toward increasing image x, with only a small image-y change, so I interpret its world direction as mostly +X. Closing along world Y should therefore grip across its width. I will descend with both grippers open, targeting left link6 z = 0.94 m and right link6 z = 0.93 m. These targets are 0.10 m and 0.11 m below the current poses. Each control increment is limited to 0.02 m, and three steps may initially move only about 0.03 m. I will use three steps, then inspect the next observation.

In the left wrist image, the cow’s center appears to have shifted from pixel (294, 145) to (297, 174), moving down the screen as the arm descends. In the right wrist image, the car’s center is approximately (314, 112), compared with (313, 90) previously. Is the midpoint between the open fingers near the bottom of the image? I will descend farther toward grasp height.

In the wrist images, I estimate the cow’s center at about pixel (290, 220). The car’s center might be (315, 120), although it looks larger while its image y coordinate seems to remain around 100; another estimate is (310, 130). The open fingers extend upward from the bottom of the wrist images to roughly y = 255–257. I estimate the left fingertip at (125, 260) and the right at (520, 265). Should the object be between the tips near y = 260 for grasping? The cow appears to span y = 90–360, with a center around y = 225, which looks reasonable. The car spans roughly y = 0–296, with a center around y = 150, above the fingertips. This could indicate that the right grasp position is misaligned in the camera view because of the object’s x coordinate, but I need to account for the wrist camera’s optical geometry. The projected contact midpoint might be around (320, 300), while the cow’s body center is approximately (290, 225). Perhaps the object needs to be near image y = 280 for the actual grasp. If the car’s center is near y = 140, does that mean the gripper is ahead of it toward environment −X? I am not sure. I will use the wrist-camera extrinsics and the known end-effector orientation to compare the object positions with an ideal local contact point. The contact position is eef + R × [0.13, 0, 0] m, which places it 0.13 m below the end effector in the current orientation. For the left end effector at [−0.377, −0.088, 0.973] m, this gives contact z = 0.843 m. I will project that contact point into each wrist image to identify its pixel location, and also project the estimated object centers using their known x and y coordinates and assumed heights of z = 0.8 m for the cow and z = 0.775 m for the car.

The ideal contact point at z = link6 z − 0.13 m currently projects to image y ≈ 369 pixels, below the visible fingertips near y ≈ 260. Perhaps the pads extend beyond that visible location. The projected tip at y ≈ 274 agrees reasonably with the visible fingertips. The cow’s predicted center is at y ≈ 238, close to my observed estimate of y ≈ 220. The car’s predicted center is at y ≈ 199, whereas I estimate its observed center at y ≈ 130–150. Perhaps its actual height is z = 0.79 m, which would give a projected y ≈ 175. Should the object be near image y ≈ 369 for contact when link6 reaches z = 0.94 m? At that link6 height, the contact point would be at z = 0.81 m, and an object at z = 0.8 m might project near y ≈ 350. Descending farther should move the object down in the wrist image. With link6 currently at z = 0.973 m, the cow projects to y ≈ 238; at link6 z = 0.94 m, with contact z = 0.81 m and object z = 0.8 m, I estimate its projection at y ≈ 332. For the car, link6 z = 0.93 m gives contact z = 0.80 m, and an object center at z = 0.775 m would project near y ≈ 350. I think the alignment is acceptable. For the cow, contact at z = 0.81 m should suit a body around z = 0.80 m. For the car, contact at z = 0.80 m may be slightly high: I estimate its top at z = 0.79 m, its bottom at z = 0.75 m, and a suitable contact height near z = 0.775 m. However, the pads extend along the fingers, and the tips would reach about z = 0.772 m, so this seems acceptable. I will take three more descent steps with both grippers open.

For the cow on the left, one gripper finger appears near its left side, while the other is farther to its right. I will close both grippers for 3 control steps.

Both grippers appear to be closing around their objects. The left and right gripper opening commands are still interpolating, at 0.247 and 0.387, respectively. Perhaps two more closure steps will let them finish closing before a three-step test lift. I will maintain both poses and continue closing for two control steps.

I will make a test lift with both link6 targets at z = 1.00 m, an increase of 0.059 m for the left arm and 0.077 m for the right arm. I will use three control steps, then inspect the next observation.

Have both objects lifted? In the high-camera view, the cow still appears near pixel (139, 225), but it may have rotated vertically because of the gripper. It looks much larger and has shifted in the wrist view, so I believe it is held. The car’s front appears near pixel (441, 250) in the high-camera view, perhaps similar to before, but the object appears lower in the wrist view. Could that indicate relative motion? I will confirm with a further lift, targeting both link6 heights at z = 1.04 m for three control steps.

The apparent basket-center image y coordinate of 178 pixels corresponds to world y = +0.077 m when I assume z = 0.77 m. At world y = 0 m and z = 0.8 m, the projected image y coordinate is about 195 pixels. The baskets may therefore be centered around world y = +0.08 m. My earlier white-basket estimate, [−0.279, 0.017, 0.83] m, depended on assuming z = 0.83 m; the physical center of its bottom may instead be at z = 0.77 m and y = +0.08 m. I estimate that the basket’s front bottom at image y = 211 pixels corresponds to world y ≈ −0.02 m and z = 0.75 m, while its back rim at image y = 140 pixels corresponds to world y ≈ 0.16 m and z = 0.84 m. An interior center at pixel (190, 180), assuming z = 0.78 m, corresponds to world y = +0.064 m. The basket centers may have world x coordinates of −0.30 m, 0 m, and +0.30 m for the white, blue, and red baskets. At image y = 178 pixels and assumed z = 0.77 m, the white center at image x = 193 pixels gives world x = −0.313 m, and the red center at image x = 450 pixels gives world x = 0.32 m. Could the basket width be about 0.23 m? For comparison, my estimated object x coordinates are −0.377 m for the cow, −0.232 m for the lion, −0.016 m for the rabbit, 0.259 m for the green car, and 0.362 m for the yellow pepper. I think the basket centers are likely at x = [−0.3, 0, 0.3] m and y = 0.08 m, so my earlier x = −0.25 m guess was wrong. The blue basket’s front edge spans image x = 259–379 pixels, centered at 319 pixels, with its left and right edges around 260 and 379 pixels. I am unsure of the depth in the focal-length-over-depth estimate using a focal length of about 288 pixels. A basket width of 0.22 m might project to about 66 pixels at a depth of 0.96 m, while a width of 0.24 m gives about 72 pixels. This supports using x centers of [−0.3, 0, 0.3] m. I could target link6 positions [−0.30, 0.08, 1.04] m for the left arm and [0.30, 0.08, 1.04] m for the right. The held object’s bottom may be about 0.15 m below link6. The cow may hang vertically down to about z = 0.87 m; with link6 at z = 1.04 m, I estimate its bottom around z = 0.88 m, above a basket rim at z = 0.83 m. For these targets, the left-arm displacement components are 0.173 m in y, 0.029 m in z, and 0.076 m in x, with an estimated total distance of 0.19 m, within the 0.25 m bound. The right-arm components are 0.212 m in y, 0.049 m in z, and 0.041 m in x, with an estimated total of 0.22 m, also within the bound. I could move toward these placement poses in 10 steps along a path above the objects and baskets. However, the cow may extend below the gripper tip. At the current left link6 height of 1.011 m, I am unsure where its head’s bottom lies. In the high-camera view, the cow is around pixel (128, 226), similar to its table position, but its height could differ. I estimate a cow height of 0.06 m, a held-body contact height around z = 0.88 m, and a possible bottom height of z = 0.82 m. Should I raise link6 to 1.08 m first? A placement approach at z = 1.08 m would be about 0.2 m away for the left arm. I think I can move diagonally toward the baskets at that height: the held objects may cross the rims, but their bottoms should be around z = 0.9 m. I will use eight steps, then inspect the next observation.

The precheck failed with a position error of about 82 mm. Could the forward target at y = 0.08 m and z = 1.08 m be near a reach limit? I estimate the arm bases are behind the workspace at y = −0.5 m. The initial end-effector y coordinate was about −0.35 m, the table objects are around y = −0.1 m, and the baskets are around y = 0.08 m. Perhaps the wrist is too high with the end effector pointing vertically down, or this target exceeds the available reach with that orientation. The local precheck can also stall on a large move. I estimated the direct target distance at about 0.22 m, which should be within the command bound. I could try a smaller forward move, for example to y = 0 m and z = 1.04 m. I will instead use intermediate link6 positions of [−0.32, −0.02, 1.06] m for the left arm and [0.30, −0.02, 1.06] m for the right arm. I estimate the intermediate move at about 0.09 m, then I can continue toward the basket targets.

The arms are moving toward the baskets. I should aim for link6 y = +0.08 m and z = 1.08 m; perhaps the earlier failure was local to the IK precheck. From the current poses, I estimate the distance to the left target [−0.3, 0.08, 1.08] m as 0.156 m and the distance to the right target as 0.173 m. I will try the basket approach again from these closer poses.

The identical position error of 81.994 mm suggests that the basket-center target may be at a kinematic reach boundary in y. Could the best reachable y coordinate be approximately −0.002 m, leaving the target at y = 0.08 m and z = 1.08 m about 82 mm out of reach with the vertical orientation? The same best error from different starting poses makes me suspect that this target is unreachable with the current orientation. Perhaps the arm bases are behind the workspace at y = −0.4 m, with a maximum reach of 0.55 m. With the link offsets and the end effector vertical, the baskets at y = 0.08 m may be near the far reach limit. I could lower link6 or tilt the grippers inward. Would lowering z to 0.98 m make the reach easier? I could test a target at y = 0.06 m and z = 0.98 m; I estimate the held object’s bottom would then be at z = 0.82 m, near the rim but acceptable for placement. Another possibility is left and right targets of [−0.3, 0.06, 1.0] m and [0.3, 0.06, 1.0] m. Would those be reachable, or might the position error still be about 54 mm? I also considered y = +0.08 m and z = 0.95 m. However, with the basket rim at about z = 0.84 m and the held object extending 0.15 m below link6, its bottom would be at z = 0.80 m, so it could collide with the rim before reaching the center. Tilting the gripper forward might help. Alternatively, could the basket centers actually be at y = 0 m? My center estimate is perhaps y = +0.07 m. A drop at y = 0 m could still be inside, near the front edge, and a link6 target at y = 0 m and z = 1.02 m might be reachable. The intermediate target at y = −0.02 m and z = 1.06 m was nearly reached. The 82 mm error for the direct target at y = 0.08 m and z = 1.08 m suggests a maximum reachable y of roughly −0.002 m, so I estimate that at z = 1.06 m the maximum y is around 0 m. I estimate the baskets span y = −0.05 m to 0.16 m, which would put y = 0 m inside their front portions. I can aim to release the cow and car over those front interiors. I will try link6 targets of [−0.30, −0.005, 1.02] m for the left arm and [0.30, −0.005, 1.02] m for the right arm. I estimate the target distances as 0.083 m for the left and 0.1 m for the right.

The right gripper opening command is 0, which I interpret as fully closed, but could the car have slipped? In the high-camera view, the green car appears to hang lower at pixel (464, 213). I am unsure whether it is still held. In the right wrist view, it appears rotated to the right near the image edge, with a gripper finger to its left and perhaps one finger across its center. It may no longer be between the fingers, so the grip could be lost or slipping. I should inspect this and consider releasing it, since it is now over the basket. In the high-camera view, the car appears within the red basket’s front area, near its bottom edge at pixel (466, 213), so I expect it to fall inside on release. The cow now appears at pixel (208, 185), centered over the white basket, and its bottom may already be inside. I will open both grippers for three control steps.

The cow has been released and is lying inside the white basket, as seen in the wrist view. Is the car still held? After three control steps, the right gripper’s opening command is 0.565, so it has not fully opened. The car looks unchanged in the wrist view; the gripper may still be around it, or it may be resting on the basket edge. I will continue opening the right gripper while holding its pose and withdraw the left hand upward. I am considering two more control steps, with the left link6 lifted to z = 1.07 m. The left arm could then retreat toward the next object, perhaps the lion or red pepper.

Is the right gripper’s opening command stuck at 0.585? It should reach 1, but the car may be jammed between the fingers and the basket edge. In the high-camera view, the car is still visible at the front-right edge. I will slowly lift and withdraw the right arm while continuing to command the gripper open; if the car has been released, it should stay in place. I will target the right link6 position at [0.30, −0.10, 1.08] m, which I estimate is within 0.106 m of its current pose. At the same time, I will move the left hand toward the lion at [−0.232, −0.108, 1.04] m, an estimated distance of 0.086 m. I will use five control steps with both grippers commanded open.

The green car fell onto the table in front of the red basket, near pixel (445, 223), rather than staying inside. The cow is in the white basket. On another reading, the car is near pixel (446, 222), with an estimated world position of [0.25, −0.10, 0.775] m. That is similar to its initial position but slightly farther forward. I will regrasp it later and release it farther inside the basket. Could tilting the gripper or moving the basket overcome the reach constraint? The skill suggests moving a container closer if it is too far away, and this task does not constrain the baskets’ final locations. I could pull the red basket forward, along negative Y, to bring its center within reach. The other basket centers have also been difficult to reach, though precise placement in their front interiors may work. The car was at the front rim and fell out. A link6 target at y = +0.02 m and z = 1.0 m might be reachable: the earlier target at y = 0.08 m and z = 1.08 m failed, while y = −0.005 m and z = 1.02 m succeeded. With a lower release height, I estimate the object’s bottom at z = 0.85 m above a rim at z = 0.82 m, allowing it to fall inside. I should also adjust its X position appropriately. There are 969 control steps left, which should be enough for the seven remaining objects. I could have the left arm handle wooden toys and peppers on the left, and the right arm handle cars and peppers on the right. Could I pick the lion and green pepper simultaneously? Another pairing is the left arm on the lion at x = −0.232 m, y = −0.108 m, and the right arm on the yellow pepper at x = 0.362 m, y = −0.204 m. I could place the lion in the white basket and the pepper in the blue basket, then pick the red pepper with the left arm and recover the green car with the right. I need to avoid collisions when the arms cross toward the middle. Would a right-arm placement at x = 0 m, y = 0 m be reachable? That would involve moving about 0.3 m across from the right, while the left arm could stay away near the red pepper at x = −0.265 m. I could instead pair the lion with another green-car attempt now, but to avoid repeating the placement failure immediately, I will collect the lion and yellow pepper first. For that parallel approach, I would move the left link6 from [−0.236, −0.056, 1.057] m to [−0.232, −0.108, 1.04] m. The right link6 would move from [0.298, −0.089, 1.065] m to [0.362, −0.204, 1.04] m, an estimated distance of 0.132 m. I am considering five control steps. Before moving, I should refine the yellow pepper’s position. Its image center appears unchanged from the initial observation, near pixel (516, 279). Should I back-project it using z = 0.79 m? The earlier assumption of z = 0.81 m gave x = 0.362 m and y = −0.204 m. Its center may actually be at z = 0.79 m; could that give approximately x = 0.368 m and y = −0.222 m? I will calculate the remaining objects’ positions under both z = 0.78 m and z = 0.79 m assumptions.

The lion may currently be near pixel (204, 231), with estimated world coordinates x = −0.242 m and y = −0.094 m. My earlier estimate of [−0.232, −0.108] m assumed z = 0.81 m, but its body center may be at z = 0.80 m. Should I align over the tan body near pixel (200, 233), rather than the mane near (211, 236)? The lion appears to be lying with its head to the right. A grasp near the tan body’s center at (194, 229) may be better than the whole-object center at (205, 234). At an assumed z = 0.79 m, pixel (194, 229) corresponds to x = −0.257 m and y = −0.086 m. The cow grasp at x = −0.377 m and y = −0.09 m worked, although the cow rotated. For the lion, I could grasp the left portion of its body near pixel (197, 232), using x = −0.25 m and y = −0.09 m. The earlier target [−0.232, −0.108] m may be too far right and forward, grabbing the mane or head, though that might still work. I want a stable grasp near the center of mass, so I will choose [−0.247, −0.09] m based on the z = 0.78 m estimate. For the yellow pepper, I will grasp around its body center at pixel (515, 279). Assuming z = 0.79 m gives x = 0.375 m and y = −0.198 m, which I will use. The gripper will remain vertical and close along world Y; that seems suitable for the nearly spherical pepper. Perhaps a link6 grasp height of 0.915 m would work. I estimate the pepper’s body radius at 0.035 m and its center height at 0.785 m. At link6 z = 0.915 m, the pad center would be at z = 0.785 m and the tip at z = 0.757 m, which seems ideal. For the lion’s body at about z = 0.79 m, I could use link6 z = 0.925 m. The cow needed 0.94 m because its body was taller. The lying lion is about 0.04 m high, so I will use a grasp height of 0.92 m. First, I will move both open grippers to pre-grasp height z = 1.04 m for eight control steps, then descend toward z = 0.92 m.

The right arm has not reached its target after eight control steps. The green car flipped upside down after the drop and still needs to be recovered later. In the right wrist view, the yellow pepper is at pixel (453, 75), near the top right; the end effector is still behind and to its left, so I need to continue the approach. In the left wrist view, the lion is at pixel (325, 133), with good alignment and the open fingers visible at the bottom. I considered continuing the right approach for five steps while holding the left arm, then descending once alignment was complete. However, the arms can perform different actions simultaneously. I will use three control steps to begin lowering the left link6 toward z = 0.96 m while continuing the right arm toward its approach target at z = 1.04 m, keeping both grippers open.

The yellow pepper’s center now appears at pixel (380, 130) in the right wrist view, still right of the image center because the right end effector is at x = 0.362 m and y = −0.179 m rather than the target x = 0.375 m and y = −0.198 m. I will continue toward that target while lowering the left arm toward the lion. I will use three control steps, targeting a left link6 height of 0.93 m and a right link6 height of 1.04 m.

The lion appears to have been pushed slightly in the high-camera view. The left gripper’s opening command is 0.926, which I suspect is due to contact with the table or object, with a target height of 0.942 m. The lion looks very large and low in the wrist view and may be ready for grasping. Perhaps I should use a left-arm height of 0.93 m rather than 0.92 m because the gripper may have hit the object and its opening decreased due to a collision. I think this is acceptable. I will continue the right arm’s descent for three control steps while keeping the left gripper open at a target height of 0.935 m.

The yellow pepper’s center appears near pixel (340, 250) in the right wrist view, so it is now close to grasping position. I will lower the right link6 toward z = 0.93 m for two final control steps before closing its gripper. At the same time, I will close the left gripper around the lion while holding the left arm’s pose.

The left gripper has closed around the lion, with an opening command of 0.314, which looks good. The yellow pepper’s center appears near pixel (345, 300) in the right wrist view. Is the right gripper ready to close at its current link6 height of 0.954 m? I estimate its fingertip height at 0.796 m, the pepper’s body top at 0.82 m, and the pad center at 0.824 m. The pads are a little high but may contact the upper body. A right link6 height of 0.93 m may be better. I will keep the left gripper closed at its current pose to let the lion grasp settle while lowering the open right gripper for two more control steps.

The yellow pepper appears large and low in the right wrist view, with its body center around pixel (350, 350). The alignment looks good. I will close the right gripper for three control steps while holding the left arm steady and maintaining its grasp on the lion.

The right gripper’s opening command is 0.437, which looks good. I will make a test lift with both link6 targets at z = 1.0 m for three control steps to check that the lion and yellow pepper move with their grippers.

The lion still appears to be in roughly the same place on the table in the high-camera view. Has it moved slightly relative to the fingers in the wrist view? The left gripper’s opening command changed from 0.322 to 0.295, which could indicate slipping, and I am unsure whether the lion’s bottom is still on the table. The left link6 is now at z = 0.972 m; if the lion is held, its top should have risen by 0.036 m. Yet it appears near pixel (200, 230), similar to before, with its body visible under the gripper near (201, 228). Perhaps the grasp failed and it remains on the table. The cow clearly changed from lying down to a vertical orientation during its test lift, whereas the lion seems to remain horizontal. It looks large but fixed in the wrist view. It could still be held horizontally, so I will make a second lift toward z = 1.04 m to verify. The yellow pepper has shifted in the high-camera view from its initial pixel position of (515, 279) to about (525, 273), which I interpret as movement from the grasp and evidence that it is held. I will lift both arms toward z = 1.04 m for three control steps, keeping the grippers closed and their orientations unchanged.

In the high-camera view, the lion appears to have rotated vertically, with its head near pixel (205, 223) and its body near (190, 216). I take this as confirmation that it has lifted. I will transport the lion in the left gripper to the white basket and the yellow pepper in the right gripper to the blue basket. I need to avoid the cow already in the white basket and keep the right arm’s crossing path clear. Both arms can move simultaneously: the left link6 target is [−0.24, −0.005, 1.02] m, an estimated distance of 0.093 m, using the same placement position that worked for the cow. For the right arm, a direct blue-basket target of [0.02, −0.005, 1.02] m would be about 0.434 m away, exceeding the 0.25 m limit and likely failing the precheck. I could use intermediate positions of [0.22, −0.12, 1.05] m, then [0.08, −0.02, 1.02] m, before moving to x = 0 m. The left arm can place the lion while the right arm is in transit, keeping the held pepper above the green car and table. For the immediate move, I will target the right link6 at [0.20, −0.10, 1.06] m. I estimate this distance at 0.201 m, within the 0.25 m limit, and expect it to pass the precheck with the vertical orientation. I will move the left arm toward the white-basket target at the same time, using six control steps.

The right arm’s measured link6 position is [0.295, −0.157, 1.023] m, still far from its target of [0.2, −0.1, 1.06] m after seven control steps. I should repeat that target for another seven steps. The left arm has also not reached its target: its measured y coordinate is −0.046 m. In the high-camera view, the lion appears over the white basket’s front rim near pixel (200, 200). I want the left arm to reach y = −0.005 m to bring it toward the basket center. I will repeat both arms’ targets for seven control steps.

The left gripper’s opening command is 0.062. The lion may have slipped or rotated and may barely remain between the fingers; its head is visible near the basket’s front in the high-camera view. It is over the white basket, though, so I can release it now. I expect the cow and lion to fit together. The right arm is still at x = 0.227 m. Is the held yellow pepper over the red basket’s left edge? The blue basket appears at the bottom left of the wrist view, and that middle basket is the destination. I could continue to a right link6 target of [0.04, −0.005, 1.02] m, an estimated distance of 0.219 m from the current pose, within the 0.25 m limit. The precheck may pass with y = −0.005 m. I considered three steps for the left release and seven for the right transport, but both arms share the same step count. I could use seven steps with the left gripper commanded open throughout, expecting it to open after three steps while the right arm continues moving. For the final action, I will use eight steps, targeting left link6 at [−0.24, −0.005, 1.02] m with its gripper open and right link6 at [0.04, −0.005, 1.03] m with its gripper closed.

The right-arm target at x = 0.04 m failed the reach precheck, perhaps because reaching across toward that x coordinate with y near 0 m puts the arm near its reach limit. I could use an intermediate link6 position of [0.10, −0.04, 1.03] m, or x = 0.12 m and y = −0.03 m. I estimate the intermediate move at about 0.14 m, then I can continue toward x = 0.02 m. I will use a right-arm intermediate target with x = 0.12 m while simultaneously releasing the lion from the left gripper.

The lion has been released. In the high-camera view, it appears near the white basket’s front-left edge, perhaps lying inside with its legs hanging over the edge. The wrist view shows it at the lower right over the white basket, so it is likely inside. The yellow pepper in the right gripper currently appears near pixel (401, 197), at the red basket’s left edge. The blue basket spans approximately image x = 260–380 pixels, so the pepper’s center is just outside it to the right. From the right arm’s current link6 position of [0.161, −0.074, 1.033] m, I could continue toward [0.04, −0.005, 1.02] m, an estimated distance of 0.142 m; the precheck may pass now. Perhaps I should use x = 0.03 m instead. The left arm could retreat toward the red pepper or approach the rabbit. A rabbit approach at [−0.017, −0.109, 1.04] m from the current left link6 position of [−0.24, −0.005, 1.021] m is about 0.246 m away, or by another estimate 0.2486 m. That is just below the 0.25 m limit, but the precheck may still fail. I could instead use an intermediate position of [−0.15, −0.09, 1.06] m. However, both arms would be moving near the middle: the right arm would move from x ≈ 0.16 m toward x = 0.03 m, while the left would move toward x = −0.15 m. I estimate a safe gap of 0.18 m. Another option is to move the left arm to [−0.15, −0.10, 1.06] m to approach the green pepper at approximately x = −0.161 m, y = −0.118 m, then place it in the blue basket. Since the right arm is already approaching that basket, I should avoid having both arms there simultaneously. I will instead move the open left gripper above the red pepper at [−0.273, −0.177, 1.04] m, an estimated distance of 0.176 m, keeping it away from the middle while the right arm carries the yellow pepper toward the blue basket. I will use seven control steps.

The right-arm target at [0.03, −0.005, 1.02] m again produced a position error of about 44.5 mm. Could this be a reach limit when moving across in X? Is the right arm’s base at x = 0.6 m? Reaching x = 0.03 m and y = 0 m with a vertical gripper at z = 1.02 m may exceed its horizontal radial reach. Lowering link6 to z = 0.96 m or 0.92 m might increase its reach. The pepper’s bottom may be about 0.16 m below link6. It currently appears around image y = 197 pixels near the red basket’s rim. At link6 z = 0.96 m, its bottom would be around z = 0.80 m, below the rim at about z = 0.83 m, so it could collide. Still, it needs to be lowered for placement. I could tilt the gripper forward to extend its reach. Could using the left arm for the middle basket be simpler because it may reach x = 0 m more easily? The left arm’s white-basket target was at x = −0.24 m. Transferring the pepper is another possibility, but that would be unnecessary if the right arm can reach by lowering. A right-arm target at [0.03, −0.005, 0.96] m is likely reachable, perhaps with an error of 0.01. The pepper’s bottom would be at about z = 0.80 m, slightly below the rim but above the basket’s interior bottom at z = 0.76 m. Releasing there should be acceptable if the pepper is over the interior. I suspect the lower approach is reachable because of the arm’s radial geometry, even though the higher approach failed. I can move inward while descending. I will try the intermediate right-arm target [0.06, −0.02, 0.98] m, which might have a position error of about 20 mm, while the left arm approaches the red pepper.

The lion has fallen out of the white basket onto the table near pixel (214, 230), leaving only the cow inside. It appears to have landed on the rim after release and then toppled out after withdrawal. In obs_000185, I saw it at the front edge and was unsure whether it was fully inside; in obs_000192, it is definitely outside. I need to regrasp it and place it farther inside, then verify that it remains stable after release and withdrawal. Could the white basket’s center be at x = −0.25 m? The cow appears near pixel (223, 180), while the lion was released with link6 at x = −0.24 m and y = −0.005 m, apparently near the front edge. The lion fell forward, toward negative Y, so I should place it deeper, toward positive Y. Reach is limited with the vertical gripper at a high pose, but a lower approach might allow y = 0.04 m or 0.06 m. Moving the basket closer or tilting the gripper are other possibilities. The yellow pepper currently appears near pixel (360, 194) in the high-camera view, at the blue basket’s front-right rim rather than over its interior. I could continue toward the previous right link6 target of [0.06, −0.02, 0.98] m from the measured position [0.098, −0.042, 0.999] m. That proposed move is 0.038 m left, 0.022 m forward, and 0.019 m down. I expect the pepper would then appear around pixel (340, 200), still near the front portion. Would moving deeper to y = +0.04 m at the lower height z = 0.98 m be reachable? The earlier precheck for [0.03, −0.005, 1.02] m failed with a position error of about 44.5 mm, whereas [0.06, −0.02, 0.98] m was accepted. Perhaps the higher target needed about 0.044 m more radial reach, and lowering to z = 0.98 m provides enough reach. I could instead target [0.02, +0.025, 0.97] m to move the pepper lower and farther inside. I still need to assess reachability. Could the constraint depend on horizontal distance from the shoulder, with the bases perhaps at x = ±0.6 m, y = −0.45 m, and z = 1.2 m? For the lion’s new grasp, I estimate its position from pixel (213, 228), assuming z = 0.79 m, as x = −0.222 m and y = −0.096 m. This is similar to the previous grasp location but shifted about +0.025 m in X. I can align above it while continuing the pepper placement. Moving the left link6 from [−0.248, −0.043, 1.031] m to [−0.222, −0.096, 1.04] m is about 0.06 m. I estimate the distance to the right target [0.02, 0.025, 0.97] m at 0.099 m. I will try both targets for six control steps, with the left gripper open and the right gripper maintaining its hold on the pepper.

The farther-reaching target at x = 0.02 m and y = 0.025 m failed with a position error of about 52.7 mm. I could continue toward the previously accepted target [0.06, −0.02, 0.98] m and release the pepper over the front-right interior, but placing the lion near the front edge failed. The pepper is larger and might roll inward if released against the inside front wall. Perhaps the basket center is around y = +0.1 m, which I cannot reach with the vertical orientation. I need to try tilting the gripper to extend the contact point farther forward. I want the fingers to point diagonally forward along +Y and downward, so the wrist can stay closer while the contact point reaches deeper. The desired direction of local +X is (0, a, −b), with a > 0 and b > 0. The starting vertical orientation is R0, with quaternion [0.707, 0, 0.707, 0] in wxyz order. Would a negative rotation about world Y work? Applying Ry(θ) to (0, 0, −1) for positive θ gives (−sin θ, 0, −cos θ), so that does not point toward +Y. I then considered a negative rotation about world X, but Rx(φ) applied to the downward vector gives (0, sin φ, −cos φ). A positive φ therefore points the fingers toward +Y. The positive-X rotation uses y′ = cos φ · y − sin φ · z and z′ = sin φ · y + cos φ · z. The new orientation is Rx(φ) multiplied by R0. In wxyz order, multiplying [c, s, 0, 0] by [0.707, 0, 0.707, 0] gives [0.707c, 0.707s, 0.707c, −0.707s], or [c/√2, s/√2, c/√2, −s/√2]. For φ = 30 degrees, I get [0.6124, 0.1830, 0.6124, −0.1830]. I estimate that local +X then maps to (0, 0.5, −0.866), extending the contact point 0.079 m forward and 0.136 m down. With link6 at y = −0.02 m, the contact point would be at y = +0.059 m, farther inside the basket. This also changes the wrist-camera orientation. Local Y originally pointed along world Y; after Rx, the closing direction becomes (0, cos φ, sin φ), mostly along Y but with a vertical component. That is less ideal, though it may be acceptable for placement. Could a rotation about local Z be better? I could use the other downward quaternion [0.5, 0.5, 0.5, −0.5], which closes along world X, and tilt forward while keeping the closing direction horizontal. I am unsure how the subsequent world-X tilt would affect that alternative. A 30-degree forward tilt should let me place the pepper deeper while keeping the wrist within reach. The right link6 is currently at [0.098, −0.042, 0.999] m with a nearly vertical orientation, so I take the current contact y coordinate to be −0.042 m. One possible tilted target is [0.03, −0.03, 1.02] m, giving an estimated contact y coordinate of +0.049 m. That might be reachable because the wrist stays closer in Y, even at x = 0.03 m and the higher z coordinate. I estimate an orientation change of 0.524 rad, below the 1.0 rad limit, and a position distance of 0.08 m. It could work. I considered keeping the transition within about 0.5 rad because an earlier change of 0.547 rad was rejected, although that rejection may have had another cause. A 20-degree tilt with quaternion [0.6645, 0.1219, 0.6645, −0.1219] would extend the tip 0.054 m forward, enough to reach about y = +0.01 m. A 30-degree tilt gives 0.079 m of forward extension, which seems suitable if the basket interior center is around y = +0.07 m. A 35-degree tilt would give 0.092 m of extension and an orientation change of 0.611 rad, which might also pass the 1.0 rad limit. I could use a similar tilt later to place the lion deeper into the white basket. For now, I will try the pepper placement approach with the 30-degree tilted quaternion and a right link6 target of [0.04, −0.02, 1.02] m. I estimate this target is 0.063 m from the current pose. The fingertip would be at approximately x = 0.04 m, y = +0.059 m, and z = 0.884 m. Does the held pepper extend below the tip? At the grasp height of link6 z = 0.933 m, its bottom was at the table height of 0.75 m, while the tip was at z = 0.7754 m, so I estimate the bottom was 0.025 m below the tip. With the tilted link6 at z = 1.02 m, I estimate a tip height of 0.884 m and a pepper-bottom height of 0.859 m. If the rim is around z = 0.82 m, that would allow release roughly 0.04 m above it, with the contact point deeper at y = +0.059 m. Should I aim for the blue basket’s X center at 0 m instead? At present, the pepper center appears near image x = 360 pixels, perhaps matching the projected gripper tip. The blue interior spans about x = 260–378 pixels, and the pepper is about 40 pixels wide, so a center near x = 350 pixels should be inside. A world x target of 0.04 m corresponds to approximately image x = 340 pixels, which seems suitable. I will try this tilted approach while keeping the pepper grasp closed. The left hand will remain vertically oriented and open as it aligns above the fallen lion.

The previous quaternion was not normalized. Is 0.61237244² approximately 0.375000000? With 0.1830127² = 0.03349365, the sum of the four squared components appears to be about 0.813. I used the wrong value for s/√2 in the φ = 30-degree formula: with s = 0.5, it should be 0.35355, not 0.183. Keeping c/√2 = 0.61237 gives x = 0.35355 and z = −0.35355. I therefore get [0.612372, 0.353553, 0.612372, −0.353553] in wxyz order, with norm 1. This is a large orientation change, but I think it is acceptable. For φ = 20 degrees, I get c/√2 = 0.664463, s/√2 = 0.241845, and z = −0.241845. I will use the 30-degree option.

I estimate the previous orientation change at 0.524 rad, below the 1.0 rad limit, yet it was rejected as earlier changes were. Could the combined quaternion be causing something unexpected? Perhaps the tool uses a nonstandard orientation-distance calculation that gives more than 1.0 rad for certain quaternions. I will try a smaller forward tilt of φ = 10 degrees, using quaternion [0.6984, 0.0616, 0.6984, −0.0616] in wxyz order, with an estimated orientation change of 0.1745 rad. I can then progress to 20 degrees and 30 degrees. For now, I will keep the same right-arm position target and move the left hand into alignment above the lion.

Why was the quaternion norm rejected? I estimate that 2 × 0.6984011² = 0.9755 and 2 × 0.0616284² = 0.0076, giving a sum of squared components of 0.9831. The repeated component 0.6984 seems wrong. For the 10-degree tilt, I intended cos(5 degrees)/√2. I initially thought that was 0.698401, but using cos(5 degrees) = 0.996195 and dividing by 1.414 gives 0.704416 instead. Could 0.6984 correspond to cos(8 degrees)? I will use Python to compute the quaternion components and norms precisely rather than continue calculating them manually.

The correct quaternion for a 30-degree forward tilt is approximately [0.683, 0.183, 0.683, −0.183] in wxyz order. I incorrectly used 0.612 for the first and third components earlier, which explains the norm rejection. For the 10-degree tilt, those components should be approximately 0.7044. I will use the computed 20-degree forward-tilt quaternion. I estimate the orientation change at 0.349 rad, below the 1.0 rad limit, so it may be accepted.

The tilt improved the precheck position error to about 28.5 mm, but the target still failed. A closer right link6 target at [0.06, −0.04, 1.0] m with a 20-degree forward tilt is likely reachable. I estimate its contact y coordinate as −0.04 + 0.054 = +0.014 m. That is still near the front, but perhaps the pepper would be sufficiently over the interior if the basket’s front edge is at y = −0.03 m. Could [0.04, −0.02, 1.0] m, lowering the previous target by 0.02 m, reduce the error enough? I will instead choose [0.06, −0.03, 1.0] m with the 20-degree tilt. This seems likely to be reachable, and I can then try a 30-degree tilt to reach deeper. Meanwhile, I will align the left hand above the lion.

In the high-camera view, the yellow pepper’s center appears near pixel (350, 189), over the front interior of the blue basket, which spans approximately image x = 260–378 pixels. In the wrist view, the blue basket is on the left and the pepper occupies the right half, so the pepper is likely over the basket’s right-side interior. Its high-camera y coordinate of 189 pixels is below the basket center at 180 pixels and above the front edge at 212 pixels, which also suggests it is inside. I can release it and inspect the result. The lion is currently near pixel (213, 228) in the high-camera view and centered around (310, 115) in the left wrist view, so the pre-grasp alignment looks good. I will use three control steps to lower the open left gripper toward a link6 height of 0.936 m while holding the right hand at its placement target and opening its gripper to release the pepper.

The yellow pepper is still visible in the right wrist view after release, although the gripper is open. In the high-camera view, it appears near pixel (360, 201) on the blue basket’s front rim. It might fall into the basket or outside it, so I will withdraw the right hand and inspect what happens. I will move the right link6 upward and back to [0.15, −0.12, 1.07] m and return its orientation to vertical. Returning from the current 20-degree tilt might require an intermediate orientation, but I estimate the difference to vertical at 0.35 rad, so it should pass the orientation limit. I estimate the position target is 0.13 m away. This withdrawal will move the hand away from the pepper and may allow it to fall and settle. Meanwhile, I will continue lowering the open left gripper toward a link6 height of 0.936 m for the lion grasp. I initially considered three steps for that descent; I will use four control steps for this combined action.

In the high-camera view, the yellow pepper appears near pixel (358, 217), on the blue basket’s front rim or the table, and is likely outside. I need to place it much deeper or move the basket. Reaching the basket interior has been difficult, so moving the baskets forward along negative Y into accessible positions may now be easiest. The task does not specify their final locations, and I take them to be movable plastic baskets. I could grasp a basket’s front wall and pull it about 0.1 m toward the robot, allowing placement near its center at the already reachable y = −0.05 m. However, shifting the baskets could make them overlap nearby objects. Could I move them into clear areas to the left or right? I could pull each basket forward by 0.08–0.12 m, bringing its center from about y = 0.08 m to about y = 0 m. The current front rim is around y = −0.03 m; a center at y = 0 m may be enough. Where did the pepper fall in world coordinates? At pixel (358, 217), assuming z = 0.78 m, I estimate x = 0.075 m and y = −0.04 m. My release link6 pose was [0.063, −0.034, 1.0] m with a 20-degree tilt, which extended the tip 0.054 m forward, so the object center may have been at y = +0.02 m. After release, though, the pepper appeared at image y = 217 pixels, corresponding to a table position around world y = −0.05 m. I suspect it fell toward the robot because of the tilt and slipped off the rim. Tilting forward also tilts the object and may make the pepper roll forward. Could I perhaps release it vertically and deeper while using a wrist tilt? Moving the basket forward should help, but I first need to locate a grasp on its front rim. The blue basket’s front-wall rim appears near pixel (320, 205). Assuming z = 0.80 m, could that correspond to x = 0 m and y = −0.019 m? The front rim’s top may instead be at z = 0.81 m and pixel (320, 202), while the back wall appears near image y = 142 pixels. I will use the basket’s shape and camera calibration to estimate these locations. I could grasp the front rim’s top center near pixel (320, 201) with vertical fingers closing along world Y. At z = 0.82 m, would that back-project to x = 0 m and y ≈ −0.036 m? I will calculate the positions.

I estimate the basket’s front wall at y = −0.04 m and z = 0.82 m, with its center at y = +0.07 m. The gripper can reach y = −0.04 m and z = 0.92 m vertically. Pulling the front wall toward the robot to y = −0.14 m would bring the basket center to y = −0.03 m, making it accessible. However, the basket could collide with objects in front of it: the yellow car is around [−0.12, −0.22] m in X and Y, and the rabbit is around [−0.017, −0.109] m. Pulling the blue basket forward would sweep its front wall through the rabbit. I could move the rabbit and other objects first or shift the basket sideways into clear space. The blue basket’s front-wall center is at x = 0 m, with the rabbit directly ahead near y = −0.1 m. Pushing the basket backward would not help the reach problem. I could first put the rabbit into the white basket, perhaps move the green pepper too, and handle the yellow car later. But pulling the white basket forward would hit the lion near y = −0.08 m; the red pepper is farther forward at y = −0.177 m, and the cow is already inside. Sorting the lion and rabbit before moving the baskets leaves the same placement difficulty unresolved. Could I hold the lion and rabbit while another arm pulls a basket? With only two arms and one object held by each, there would be no free arm. I could temporarily place objects elsewhere, then move the baskets, or move the blue basket after sorting the rabbit. Another option is to use a different arm orientation to drop the peppers deeper into the blue basket. Grasping its front-right corner and moving it diagonally 0.1 m right and 0.05 m forward might avoid the rabbit, but would overlap the red basket. Moving it left would overlap the white basket. I also considered pulling it forward and intentionally pushing the rabbit aside, then regrasping the rabbit. Controlled contact might be acceptable if nothing tips, but I would rather avoid that collision. Could I pick the rabbit with the left arm now? That arm is already approaching the lion, and the yellow pepper is outside its basket and needs another grasp. I will instead focus on improving reach through orientation. Perhaps the vertical quaternion [0.707, 0, 0.707, 0] in wxyz order places the arm at its reach limit. A 20-degree forward tilt improved reach, but reaching across in X still prevented arrival at the basket center. Could I tilt 45 degrees, move deeper, and then return the pepper to vertical before release? Would a tilted wrist allow a farther-back or lower link6 position? Another possibility is to grasp at a forward extension and rotate vertically as the arm moves inward. These options remain uncertain. The precheck’s best position errors have been nearly constant from different starting poses, suggesting a reach boundary, perhaps based on radial distance. The right target [0.03, −0.005, 1.02] m had an error of about 44.5 mm. The farther target [0.02, 0.025, 0.97] m had an error of about 52.7 mm. With a 20-degree tilt, [0.04, −0.02, 1.02] m had an error of about 28.5 mm, while [0.06, −0.03, 1.0] m was reachable. Perhaps a 30-degree tilt at [0.04, −0.02, 1.0] m would be reachable and put the contact point deeper, around y = +0.06 m. I used only a 20-degree tilt with the earlier target that was 0.02 m higher. Now that the right hand has withdrawn and the pepper is on the table, I can regrasp it and try a 30- or 45-degree tilt before transport. I can also test a 30-degree tilt for the lion’s placement after lifting it. First I will finish the lion grasp. The left link6 is at z = 0.962 m, with a target of 0.936 m. I initially considered descending for two steps and then closing. For the right arm, I considered retreating to observe before approaching the yellow pepper, whose estimated position is [0.082, −0.046, 0.78] m from pixel (357, 217). But the right link6 is already at [0.076, −0.045, 1.018] m, almost directly above it. I can descend vertically toward z = 0.93 m and regrasp it there. The left grasp target is x = −0.222 m and y = −0.096 m, whereas the lion’s estimated position at z = 0.78 m is x = −0.23 m and y = −0.075 m. The target may be slightly right and forward of the object, but the lion’s wrist-image center near pixel (310, 175), with link6 at z = 0.962 m, looks suitable. The pepper appears near pixel (350, 150) in the right wrist view, with the gripper open and tilted about 10 degrees. I estimate the orientation difference back to vertical at 0.16 rad, which seems acceptable. I will use three control steps with both grippers open, targeting left link6 z = 0.936 m and right link6 z = 0.93 m, both vertically oriented.

The lion is at grasp height between the left finger pads. The yellow pepper is aligned between the right fingers, but the right hand is still above grasp height. I will close the left gripper while continuing the right hand’s descent for three control steps.

The lion seems to have been pushed toward the green pepper. In the high-camera view, I estimate the lion at pixel (224, 243) and the green pepper at (249, 248), apparently touching. Closing the gripper may have shifted the lion’s body. Is it still held? The left gripper’s opening command of 0.218 looks good, but I am still uncertain about the grasp. For the right hand, is x = 0.082 m the correct target over the yellow pepper? The measured link6 x coordinate is 0.074 m. The target x and y coordinates are [0.082, −0.046] m, while the measured coordinates are [0.074, −0.038] m. Could this discrepancy be because the arm is near its reach limit? Has it not descended yet? I will continue toward the right link6 height of 0.93 m for three control steps, keeping the right gripper open and maintaining the left grasp.

The left gripper’s opening command is 0.048. Does that mean it is nearly closed and empty? The lion appears below and outside the fingers, though I am unsure whether the wrist view shows it between them or resting above the fingertips, with a dark V formed by the fingers below it. It may not be securely grasped and may have slipped downward. In the high-camera view, I estimate the lion at pixel (223, 250), now on the table and shifted forward. I suspect the grasp missed, leaving the object outside the pads and allowing the gripper to close almost completely. I need to regrasp it at a better height and position. The yellow pepper now appears centered, with the right finger pads around the sides of its body. I will close the right gripper at the current link6 height of 0.953 m for three control steps. At the same time, I will reopen the left gripper and lift it slightly to get a clearer view before trying the lion grasp again.

The yellow pepper seems to be between the right fingers, and the opening command of 0.475 looks good. I will test-lift it toward a link6 height of 1.02 m for three control steps. The lion appears near pixel (229, 250) in the high-camera view. Assuming z = 0.79 m, I tentatively estimate its world position as x = −0.201 m and y = −0.143 m; I should recalculate its position after the disturbance. Its body center may be near pixel (230, 246). In the left wrist image, it appears near the upper left, around pixel (280, 70), while the fingers are at the bottom. Do I need to move forward? Using pixel (230, 248) and an assumed height of z = 0.79 m, I estimate the lion at x = −0.20 m and y = −0.139 m. Relative to the left link6 position of x = −0.222 m and y = −0.119 m, the lion is closer to the robot, in the more negative Y direction, and 0.022 m to the right. I moved the left hand to y = −0.119 m, but I should aim for y = −0.145 m and x = −0.20 m. I will first align at the proposed pre-grasp position [−0.20, −0.145, 0.98] m, then descend to a link6 height of 0.936 m. The current height is 0.978 m, so the immediate alignment is only about a 0.03 m translation. I expect this to center the lion in the wrist view. I am considering two steps for the left alignment while the right hand performs its three-step test lift.

The lion appears to have moved farther up and left in the left wrist image, with its center now near pixel (170, 0), as the left end effector moved left. That is opposite to what I expected: if the end effector moves in the environment’s −X direction and camera +X corresponds to environment +X, the object should move right in the image. Could the first row of the wrist-camera transform instead correspond to environment −X with the gripper vertically oriented? I will inspect the wrist-camera extrinsics for the previous and current observations.

The wrist-camera transform’s first row points approximately along environment −Y, not +X. Initially, that row pointed along environment +X, but with the current vertical gripper orientation it is approximately [0, −1, 0]. The camera’s horizontal direction appears to align with local −Y: the initial 90-degree rotation about Z maps local −Y to environment +X, while the vertical orientation maps it to environment −Y. I was wrong to interpret the wrist image’s horizontal offset as a world-X offset; it reflects world Y instead. The lion appearing left of the gripper center means its world-Y coordinate is greater, or farther forward, than the gripper’s. Moving the end effector in X did not address that horizontal offset. Could the observed image shifts partly reflect object motion? Perhaps the lion fell or rolled. With the vertical gripper orientation, image right corresponds to world −Y, image down corresponds approximately to −0.866 world X + 0.5 world Z, and optical forward corresponds approximately to −0.5 world X − 0.866 world Z. The camera therefore looks downward and toward −X, rather than toward −Y as I had previously assumed. I need to use the calibration correctly for visual alignment. I could calculate the object’s relative position using two views or an assumed height. Both the high camera and wrist camera have synchronized observations and full extrinsic calibration, so I could triangulate the object’s exact 3D center from corresponding pixels using least squares, then choose a grasp point. For the current lion, I tentatively estimate the high-camera center at pixel (234, 248) and the wrist-camera center at (180, 20), but part of the lion is cut off in the wrist view. A clearly corresponding point would be better—for example, its nose near high-camera pixel (240, 245)—but I cannot identify the current wrist-view nose confidently because the top is truncated. In obs_000221, the whole lion was visible in both views. I could try matching its nose at approximately high-camera pixel (240, 244) and wrist-camera pixel (267, 95), though those estimates need checking. Opening a crop might help establish the correspondence. Alternatively, I can back-project a wrist-image point alone by assuming z = 0.79 m, which would give exact x and y coordinates under that height assumption. For obs_000221, I estimate the lion’s body center at wrist pixel (220, 105). I will calculate its world position using that point and the assumed height.

The wrist-based estimate of the lion’s position, approximately x = −0.17 m and y = −0.12 m, differs from the high-camera estimate of x = −0.20 m and y = −0.145 m. Perhaps the selected body pixel does not represent the actual center, and the assumed height of z = 0.79 m may also matter. Could the lion’s center be at x = −0.17 m? In the high image, the lion near pixel (230, 250) maps to approximately x = −0.20 m and y = −0.14 m. I estimate that the wrist-derived position of x = −0.17 m and y = −0.12 m would instead project near high-camera pixel (250, 235), rather than (230, 250). Perhaps the selected wrist pixel (220, 105) corresponds to the left edge of the lion’s body rather than the center selected in the high image. That would mean the two estimates describe different points. I should triangulate a recognizable point, such as the nose, using matching pixels in both views. I will prepare enlarged, side-by-side high-camera and wrist-camera crops, including obs_000221, so I can inspect them with view_image and manually identify corresponding nose coordinates.

I will open the side-by-side lion crops from obs_000221 to identify the same recognizable point in the high and wrist views. Matching that point should help resolve the conflicting position estimates before another grasp attempt.

I am estimating the lion’s nose coordinates from the enlarged crops of obs_000221. The high-camera crop in the left panel is 380 pixels wide, enlarged fourfold from 95 pixels. I am unsure whether the nose’s displayed x coordinate is around 228, 229, or 225 pixels; I will use approximately 228. This gives original-image coordinates x = 180 + 228/4 = 237 and y = 210 + 158/4 = 249.5 pixels. The wrist crop covers original x coordinates 50–380 and is enlarged twofold, then placed at displayed x = 380. I estimate the nose’s displayed x coordinate at about 840 pixels, or 460 pixels relative to that panel. This gives original x = 50 + 460/2 = 280 and y ≈ 183/2 = 91.5 pixels. I will use high-camera nose coordinates (237, 249) and wrist-camera nose coordinates (280, 92) to triangulate its position.

The yellow pepper has dropped onto the table near high-camera pixel (361, 224). The right gripper’s opening command went from 0.204 to 0, and I conclude that the lift was not secure and the pepper slipped. Perhaps the grasp at link6 height 0.953 m was too high for the pads to contact its sides sufficiently: the earlier grasp at 0.933 m held, whereas the second grasp at 0.953 m eventually slipped. For the next grasp, I should try a link6 height of 0.925 m. The previous grasp target was x = 0.082 m, y = −0.046 m, but the pepper’s body may have shifted to approximately x = 0.075 m, y = −0.04 m. I can regrasp it later. The lion is now centered near pixel (300, 210) in the left wrist view, with the open fingers on either side and link6 at z = 0.96 m. I will descend toward z = 0.935 m, initially considering two control steps, then close the gripper. For the right hand, I will first realign above the fallen pepper. Using high-camera pixel (361, 224) and an assumed object height of z = 0.79 m, I tentatively estimate x ≈ 0.073 m and y ≈ −0.071 m; that estimate still needs checking. The pepper’s center appears near wrist pixel (450, 140) with the current tilted orientation, but the gripper is empty. I will return the right hand to vertical and use the pre-grasp link6 target [0.075, −0.06, 1.0] m. I estimate the move at 0.03 m and the orientation change at 0.16 rad. I considered two steps for the left descent and three for the right alignment; I will use three steps for the combined action, keeping both grippers open.

The lion is centered around pixel (320, 280) in the left wrist view, which looks suitable for grasping. I will close the left gripper for three control steps. The yellow pepper’s center is around pixel (420, 100) in the right wrist view. The image’s horizontal direction corresponds to world −Y. Should I move the right hand toward a more negative or more positive Y coordinate? Since the pepper’s image x coordinate is greater than 320, I interpret it as having a more negative world-Y coordinate than the camera center. The right hand is at y = −0.052 m, while the pepper appears near high-camera pixel (367, 225), with a likely world y coordinate of −0.065 m. Moving the end effector toward more negative Y should make the pepper’s relative Y coordinate less negative and move it left in the wrist image. I will therefore consider shifting the right hand to y = −0.075 m. The pepper’s image y coordinate is about 100. With link6 at z = 1.005 m and the object assumed to be at z = 0.79 m, descending should move it down in the image. World-X displacement also affects the image’s vertical position because the camera’s vertical direction includes −X. Before moving, I will back-project wrist pixel (420, 100) using the calibration from obs_000232 and the assumed object height of z = 0.79 m to estimate its world position.

The wrist-view calculation puts the yellow pepper’s center at approximately x = 0.095 m and y = −0.086 m, rather than my earlier estimate of x = 0.075 m and y = −0.06 m. The high-camera point at pixel (367, 225), assuming z = 0.79 m, may also correspond to x = 0.095 m and y = −0.086 m. I will align the right link6 at [0.095, −0.086, 1.0] m, then descend to z = 0.925 m for grasping. Its current measured position is [0.072, −0.052, 1.005] m, and I estimate the alignment move at 0.043 m. For this action, I will close the left gripper around the centered lion while aligning the open right gripper over the pepper, using three control steps.

The left gripper’s opening command is 0.552 after closure and is still interpolating. Are the fingers around the lion’s body? One appears near its lower-left side and the other near the right side of its head. Because of the lion’s orientation, the grasp may span its long diagonal rather than its narrow body, but that could be acceptable if it is secure. The right hand has moved only a small amount: its measured x and y coordinates are [0.078, −0.061] m, compared with the target [0.095, −0.086] m. I will continue toward that target for three control steps while holding the left arm steady with its gripper commanded closed.

The yellow pepper’s center appears near pixel (325, 180) in the right wrist view, so its horizontal alignment looks good. I will lower the right link6 toward z = 0.925 m for three control steps while test-lifting the lion with the left link6 target at z = 1.0 m for the same three steps.

Is the lion moving with the left gripper? In the high-camera view, it is visible beneath the gripper near pixel (225, 242), perhaps still on the table and being dragged, but its position relative to the gripper looks fixed in the wrist view. The left gripper’s opening command is 0.546; the apparent wide gap suggests it may be holding the whole lion across its diagonal. I will make another three-step test lift with the left link6 target at z = 1.04 m, while continuing the right hand’s descent toward the pepper for three steps.

The calculation confirms that the correct 45-degree forward-tilt quaternion is [0.6533, 0.2706, 0.6533, +0.2706] in wxyz order, with both the Y and Z components positive. I used the wrong sign for the Z component in my manual quaternion product: z = w1z2 + x1y2 − y1x2 + z1w2 gives a positive term here. The correct 30-degree forward-tilt quaternion is [0.683, 0.183, 0.683, 0.183], with norm 1. The negative-Z quaternion I used at obs_000229 instead produced a 30-degree yaw, leaving the fingers vertical. I interpret the opening command of 0 then as the result of the pepper slipping. The lion is held in the left gripper, whose current link6 position is [−0.191, −0.122, 1.005] m. I will use a 30-degree forward tilt, followed by a 45-degree tilt, to place it deeper into the white basket. A possible 30-degree target is [−0.23, −0.04, 1.02] m; it may be reachable with the wrist closer and the object extending 0.079 m forward. At 45 degrees, I would target [−0.23, −0.04, 1.0] m, putting the contact Y coordinate at +0.071 m, which I expect to be inside the basket. For the immediate action, I will first use the 30-degree tilt at [−0.22, −0.07, 1.02] m, an estimated distance of 0.073 m, then attempt the 45-degree target. These poses still need to pass the precheck. The right gripper is nearly vertical and needs a −30-degree yaw to avoid the basket rim. I considered holding its current position of [0.091, −0.083, 0.997] m with the gripper open during this rotation, then progressing through −60 and −90 degrees while above the pepper. At −90 degrees, the fingers will close along world X, and I can descend to link6 z = 0.925 m at the same X and Y coordinates without the rim collision I expect from the current closing direction. I will perform the left 30-degree forward tilt and the right −30-degree yaw simultaneously for six control steps, keeping the left gripper closed and the right open. The left opening command is 0.543, and I believe it is holding the lion.

The lion now appears farther over the white basket, with the left gripper tilted forward by about 18 degrees. In the high-camera view, its body seems to span the front area while remaining over the interior, though I am not fully certain. I will increase the left gripper’s forward tilt to 45 degrees and target link6 at [−0.22, −0.05, 1.0] m to reach deeper into the basket. I will also continue the right gripper’s yaw to −60 degrees while holding its position. I estimate the left orientation change from about 18 to 45 degrees at roughly 27 degrees, and the right change from about −15 to −60 degrees at roughly 45 degrees. Both changes seem acceptable. The left position target is close to its measured pose for the precheck, and the right position stays essentially unchanged. I will use six control steps.

Both orientations are lagging behind their targets. I estimate the left gripper’s forward tilt at about 25 degrees rather than the commanded 45 degrees, and the right gripper’s yaw at about 30 degrees toward its 60-degree target. The lion appears entirely above the white basket’s interior, near pixel (219, 193) in the high-camera view, with no front rim directly beneath it. Releasing it now should put it inside, although I am still somewhat uncertain about its stability in the tilted orientation. I considered three steps for the left release while continuing the right yaw from about 30 toward 60 degrees. I will use four control steps for the combined action.

The lion is now visibly resting stably inside the white basket, so that placement appears successful. The right gripper has reached about 41 degrees of yaw and will eventually need to reach 90 degrees. I could hold its existing 60-degree yaw target for four more control steps to let it converge before proceeding to 90 degrees. The left hand can withdraw toward either the rabbit or the red pepper. My estimated positions are x = −0.017 m, y = −0.109 m for the rabbit; x = −0.161 m, y = −0.118 m for the green pepper; and x = −0.273 m, y = −0.177 m for the red pepper. The left link6 is currently at [−0.22, −0.05, 1.002] m with about 34 degrees of forward tilt. Since the right hand is working on the yellow pepper, I will move the left hand away toward the red pepper and restore its vertical orientation, using quaternion [0.70710678, 0, 0.70710678, 0] in wxyz order. The proposed link6 target is [−0.273, −0.177, 1.04] m, an estimated distance of 0.13 m. I estimate the orientation change at about 0.6 rad, which may be below the 1.0 rad limit. I am considering five control steps to return the left hand to vertical while the right gripper converges toward its existing 60-degree yaw target.

The right gripper has reached about 56 degrees of yaw, which looks good. I will target the 90-degree yaw orientation using quaternion [0.5, 0.5, 0.5, −0.5] in wxyz order, an estimated remaining change of 34 degrees. Meanwhile, the left hand will continue toward its target above the red pepper with a vertical grasp orientation. I will use six control steps.

The right gripper’s 90-degree yaw target failed the rotation precheck. Could a wrist joint limit make that orientation unreachable? I will try a 75-degree intermediate yaw first. From the estimated current yaw of 56 degrees, that is a 19-degree change, which should be manageable. I may then try 90 degrees again. For the 75-degree yaw quaternion, I use c = cos(37.5 degrees) ≈ 0.79335 and s ≈ 0.60876, multiplied by 0.707. This gives approximately [0.5610, 0.43037, 0.5610, −0.43037] in wxyz order. I will use this quaternion while keeping the right position target unchanged and continuing the left hand’s approach toward the red pepper.

The wrist orientation may be limited at the current position, perhaps to about 60 degrees of yaw because of joint 6 limits. I could change the position to allow more rotation, for example by raising link6 to z = 1.08 m or moving to x = 0.1 m, y = −0.12 m. Another option is a final yaw of +90 degrees instead of −90 degrees, using quaternion [0.5, −0.5, 0.5, 0.5] in wxyz order. From the estimated current yaw of 56 degrees, I estimate that alternative would require a 124-degree rotation, exceeding the 1.0 rad limit, so I would need to rotate back before turning in the positive direction. That may be unnecessary if the 60-degree yaw is enough to avoid the rim. At that orientation, local Y, the closing direction, has world X and Y components of approximately (0.866, 0.5), so the fingers separate mostly along X. The rear finger’s Y extent is reduced by half; it might still contact the rim, but less than before. The measured yaw is about 56 degrees toward the 60-degree target. I will try lowering the right link6 to z = 0.93 m while retaining the previously successful 60-degree yaw target rather than continuing to 90 degrees. This may let the fingers straddle the pepper mostly along X. Meanwhile, the left hand will continue approaching the red pepper. I will use five control steps.

The right link6 has descended to z = 0.943 m, and the yellow pepper appears between the fingers. I could close at this height or lower toward the 0.93 m target. Did the previous action stop short simply because its five control steps ended, or could there be contact with the table? The pepper looks large in the wrist view, with the pads around its mid-body. I am considering three steps for closure. The left gripper still appears tilted by about 10 degrees and has not reached its approach target above the red pepper. I will continue toward that target with a vertical orientation. For the combined action, I will use five control steps, closing the right gripper while retaining its 0.93 m height target and continuing the left approach.

The right grip looks good, with an opening command of 0.42. I will test-lift the yellow pepper by targeting a right link6 height of 1.02 m for three control steps. The left hand is almost at its red-pepper approach target of [−0.273, −0.177, 1.04] m. In the left wrist view, the red pepper’s center appears near pixel (440, 180), to the right because its world Y coordinate is more negative than the gripper’s. The left end effector is currently at y = −0.152 m, so I need to continue toward y = −0.177 m. I will perform that alignment during the same three-step action as the right test lift.

The yellow pepper is held. I should carry it deeper into the blue basket by adding a forward tilt while retaining the right gripper’s 60-degree yaw. One option is to keep that yaw and translate link6 to [0.03, −0.03, 1.0] m, although I am unsure whether it will pass the reach precheck. This grasp orientation could make the reach easier or harder. From approximately [0.095, −0.086, 0.967] m to a basket approach at [0.02, −0.02, 1.0] m, I estimate a distance of 0.1 m, so it may be reachable. However, a vertical grasp at y = −0.03 m would put the contact only over the front interior. To reach deeper, I can add a 30-degree forward tilt to the existing yaw, composing the rotation as Rx(30°) × Rz(−60°) × q0. I will calculate its quaternion with SciPy. I expect local +X to gain a forward component of 0.5, extending the contact 0.079 m forward while also rotating the closing direction. With link6 at y = −0.05 m, that would put the object at about y = +0.029 m. A 45-degree tilt would give 0.111 m of forward extension and put it at y = +0.061 m. I could add that tilt after reaching above the basket. For now, I will choose the combined 30-degree forward tilt and 60-degree yaw, with a right link6 target of [0.04, −0.04, 1.02] m. The orientation change from the current yaw is 30 degrees, and I think this target is likely reachable. I need to check clearance over the rim. I estimate the pepper’s bottom at about 0.18 m below link6. Initially, using the current link6 height of 0.967 m and a pepper-bottom height of 0.75 m suggested an offset of −0.217 m. But 0.75 m was its bottom height at the grasp pose, where link6 was at 0.93 m and the tip at 0.772 m. After the 0.037 m lift to link6 z = 0.967 m, its bottom should be around 0.787 m, retaining the offset of about −0.18 m. At a 30-degree tilt, I estimate the vertical offset as 0.18 × 0.866, or about 0.156 m, with some uncertainty from the object’s shape. At link6 z = 1.02 m, that puts its bottom around 0.864 m, above the rim. The forward extension is 0.18 × 0.5 = 0.09 m, so link6 y = −0.04 m would put the object center around y = +0.05 m, deeper inside. I will compute the combined quaternion before commanding this motion. Meanwhile, I plan to descend the left hand toward the red pepper with a link6 target height of 0.925 m over three control steps.

The combined quaternion is approximately [0.5, 0.5, 0.683, −0.183] in wxyz order, with norm 1. It adds a 30-degree forward tilt to the right gripper’s current 60-degree yaw, which looks suitable. I will target the right link6 position at [0.04, −0.04, 1.02] m with this orientation to carry the yellow pepper over the blue basket. Meanwhile, I will lower the vertically oriented left gripper toward the red pepper to a link6 height of 0.925 m. I plan to use four control steps.

The combined orientation failed the IK precheck at the target. I could retain the right gripper’s 60-degree yaw and try tilting around a local axis, though that might still leave the reach problem unresolved. A simpler option is to keep the 60-degree yaw without a tilt and try the link6 target [0.04, −0.04, 1.02] m, which may be reachable. This would release the pepper near the blue basket’s front, but I expect the sideways fingers to avoid the rim collision. With a lower end-effector pose, perhaps the object could be placed at y = −0.02 m. I would prefer a deeper placement, perhaps at y = 0 m. A link6 target of [0.04, −0.01, 1.0] m with the same yaw might be reachable, but that remains untested. There are plenty of control steps remaining, and failed prechecks do not consume them. The right-arm failure also prevented the left hand’s descent. For the next attempt, I will lower the left hand toward the red pepper and keep the right gripper’s 60-degree yaw, targeting its link6 position at [0.04, −0.03, 1.0] m while maintaining the pepper grasp.

I estimate the right link6 position as [0.095, −0.086, 0.967] m. The target [0.04, −0.03, 1.0] m failed with a position error of about 75 mm, which is surprising for such a nearby target. Perhaps reaching across to x = 0.04 m at z = 1.0 m with a 60-degree yaw is restricted by the wrist joints. The right arm cannot currently reach the middle basket with this orientation. I could use the left arm for peppers and reserve the right arm for cars. The yellow pepper is already held in the right gripper, so I could place it on a clear part of the table for the left arm to pick up, or transfer it directly, though I should avoid using both arms on one object unless necessary. Possible temporary table locations are x = 0 m, y = −0.2 m near the center, a clear area toward the center-left, or x = 0.15 m, y = −0.18 m. The right hand is currently near the blue basket and the left is above the red pepper, so this would require extra work. Placing the yellow pepper in the left basket would be incorrect. Instead, I will rotate the right gripper back from 60 degrees of yaw to zero yaw, then try the correct 30-degree forward tilt, as worked for the lion with the left arm. The right arm previously reached [0.06, −0.03, 1.0] m with a vertical orientation, and the correct forward tilt may allow it to reach [0.04, −0.04, 1.02] m. I considered moving to [0.12, −0.12, 1.04] m while returning to zero yaw, but rotating the held pepper near the rim could cause a collision. I will first lift the right link6 to z = 1.08 m at x = 0.095 m and y = −0.086 m, retaining the 60-degree yaw and closed gripper. After clearing the rim, I can move to [0.12, −0.12, 1.08] m and rotate to vertical before applying the forward tilt over the blue basket. For this immediate action, I will use five control steps to lift the right hand while independently lowering the open left hand toward the red pepper.

I will lift the right link6 farther to z = 1.08 m while rotating its grasp halfway back toward zero yaw, using the intermediate 30-degree yaw quaternion [0.683, 0.183, 0.683, −0.183] in wxyz order. The right position target is [0.12, −0.12, 1.08] m, which I estimate is 0.04 m away, with an orientation change of 30 degrees. The precheck may be easier from this new position. Meanwhile, I plan to continue the left hand’s descent toward the red pepper to link6 z = 0.925 m for three control steps.

The red pepper is at grasp height between the left pads. I will close the left gripper, initially considering three control steps. I estimate the right gripper’s current yaw at 45 degrees, while its previous target was 30 degrees. I could continue toward that intermediate target and then return to zero yaw, or command the vertical quaternion [0.70710678, 0, 0.70710678, 0] in wxyz order directly, with an estimated orientation change of 45 degrees. The direct target may pass the precheck. I will choose it at the right link6 position [0.12, −0.12, 1.08] m while maintaining the yellow-pepper grasp, and close the left gripper at its current pose. I will use five control steps for the combined action.

After five control steps, I estimate the right gripper’s yaw is still about 34 degrees rather than vertical, so I need to keep commanding the vertical quaternion [0.70710678, 0, 0.70710678, 0] in wxyz order. The left grip looks good, with an opening command of 0.43. I will test-lift the red pepper by targeting the left link6 height at 0.99 m while continuing to command the right wrist’s vertical orientation for five control steps.

The right wrist is rotating slowly with five control steps per action; perhaps it needs eight steps. The left link6 rose only 0.053 m because its target height was 0.99 m, and its measured height of 0.985 m is nearly there. The red pepper appears held near pixel (179, 279), compared with its earlier image y coordinate of about 270, which looks good. Approaching the blue basket from the left may be easier. Both peppers belong in that basket, so I can place the red pepper with the left arm using a forward tilt while the right arm keeps the yellow pepper held in clear space. This avoids having both arms cross toward the basket simultaneously. The left link6 is currently at [−0.273, −0.178, 0.985] m with a vertical orientation. I will move it toward [−0.10, −0.10, 1.02] m with a 30-degree forward tilt, using quaternion [0.683, 0.183, 0.683, 0.183] in wxyz order. I estimate the target distance at 0.19 m, within the 0.25 m limit, and expect this intermediate pose to pass the precheck. Afterward, I could use a 45-degree tilt with a target at [−0.06, −0.05, 1.0] m. I am considering six control steps for the left transport and 30-degree tilt while continuing to command the right wrist toward the vertical quaternion [0.70710678, 0, 0.70710678, 0], keeping its gripper closed until the orientation settles.

The right gripper is nearly vertical, with an estimated remaining offset of 5 degrees, which looks acceptable. The left link6 is still at x = −0.21 m and y = −0.149 m, short of its target. I will continue commanding the same left-arm target for seven control steps while holding the right arm at its elevated position and maintaining the vertical orientation target.

In the high-camera view, the red pepper appears near pixel (267, 195), at the blue basket’s left edge, which starts around pixel x = 260. I will move the left hand rightward toward x = −0.05 m and tilt it farther forward. The planned left link6 target is [−0.06, −0.05, 1.0] m, with the 45-degree forward-tilt quaternion [0.6533, 0.2706, 0.6533, 0.2706] in wxyz order. This is a 15-degree change from its current 30-degree tilt. I estimate the target distance at 0.108 m and think it will likely pass the precheck. The right gripper is now vertical and holding the yellow pepper. I could move it to [0.08, −0.06, 1.02] m with a 30-degree forward tilt, perhaps to place it after the red pepper. However, bringing both arms near the blue basket could cause a collision. I will instead keep the right hand vertical at [0.12, −0.12, 1.08] m, maintaining its grasp, while moving the left hand toward placement for six control steps.

In the high-camera view, the red pepper appears at pixel (306, 184), over the blue basket’s left-center interior. The wrist view shows the blue basket behind the object, which looks suitable for release. The left link6’s measured position is [−0.092, −0.079, 1.006] m, with an estimated forward tilt of 44 degrees. I estimate that the contact point extends 0.11 m forward, placing the object at y = +0.03 m, deep enough inside the basket. I will open the left gripper for three control steps while holding the right arm steady and maintaining its grasp.

The red pepper is resting stably inside the blue basket. Next, I will move the yellow pepper with the right arm using a 30-degree forward tilt from its current vertical orientation. The right link6 target is [0.08, −0.08, 1.02] m, with quaternion [0.683, 0.183, 0.683, 0.183] in wxyz order. Its current position is [0.12, −0.12, 1.08] m, and I estimate the target distance at 0.084 m. The rabbit, green pepper, yellow car, and green car still need sorting, along with the held yellow pepper: five objects remain. The left hand could next approach either the rabbit at x = −0.017 m, y = −0.109 m or the green pepper at x = −0.161 m, y = −0.118 m. After placing the yellow pepper, the right arm could handle the green car. Perhaps the left arm could handle the rabbit and yellow car, allowing parallel work. I considered moving the left hand to the rabbit’s pre-grasp pose at [−0.017, −0.109, 1.04] m while the right arm places the yellow pepper. Returning from the left hand’s current 45-degree tilt to vertical would require a 45-degree orientation change, and I estimate the position change at 0.103 m. The precheck might pass, but the rabbit is near the center. With the right link6 moving to [0.08, −0.08, 1.02] m, I estimate only about 0.10 m between the grippers, with the held pepper adding collision risk. I will instead move the open left hand above the green pepper at [−0.161, −0.118, 1.04] m and restore its vertical orientation, keeping it farther from the right arm. I will use six control steps for this alignment and the right arm’s forward-tilted approach, maintaining the yellow-pepper grasp.

After the previous six control steps, I estimate the right gripper’s forward tilt at only about 10 degrees, so it needs to continue toward its target. The left hand has not reached its target above the green pepper either; its orientation is lagging at about 28 degrees of tilt instead of vertical. I will continue commanding the same targets for both arms for six more control steps.

In the high-camera view, I estimate the yellow pepper’s center at pixel (357, 185), over the blue basket’s right interior. The right gripper’s actual forward tilt is about 20 degrees, compared with its 30-degree target. Could I release now? At the measured link6 position [0.084, −0.083, 1.031] m, using an object offset of 0.18 m gives a forward extension of 0.18 sin(20 degrees) = 0.062 m, putting the object at y = −0.021 m, near the front. On another reading, the yellow pepper’s center is around pixel (354, 181), while the red pepper is at (311, 178). The yellow pepper appears inside the front-right area, though the projection’s dependence on height may explain that impression. A previous release near image y = 189 pixels rolled out because the pepper was only over the front rim. Its current center near (354, 181) is closer to the basket center, with the front edge at image y = 212 pixels, so it might fall inside. I will nevertheless try a deeper placement with a 45-degree forward tilt. The right link6 target is [0.04, −0.05, 1.0] m, with quaternion [0.6533, 0.2706, 0.6533, 0.2706] in wxyz order. I estimate a 25-degree orientation change from the current 20-degree tilt and a target distance of 0.060 m. The earlier vertical target at [0.03, −0.005, 1.02] m failed the precheck, but this tilted target may pass because the wrist stays at y = −0.05 m and is lower. The left arm’s successful placement used a similar pose at [−0.092, −0.079, 1.006] m. Reaching across to x = 0.04 m may still be difficult for the right arm, but the 45-degree tilt might help. I will try this while keeping the yellow pepper grasp closed and continuing the left hand toward its vertical alignment above the green pepper. I will use six control steps.

In the high-camera view, the yellow pepper appears near pixel (340, 171), farther inside the blue basket. This looks suitable for release, so I will open the right gripper for three control steps. The left gripper is nearly vertical, with an estimated remaining tilt of 7 degrees. The green pepper appears near pixel (480, 20), at the top right of the left wrist view. The left link6 is currently at a height of 1.038 m. I will let its vertical alignment settle before descending: during the right-hand release, I will keep the left gripper open and command its vertical pose at a link6 height of 1.04 m for the same three steps.

The yellow pepper is resting on top of the red pepper but remains inside the basket, which is acceptable. I now need to correct the left hand’s alignment over the green pepper. With the gripper vertically oriented, I estimate the green pepper’s center near pixel (400, 10) in the wrist view and the yellow car near (600, 60). The current left link6 position is [−0.161, −0.119, 1.039] m. The green pepper has shifted since the earlier lion push. I read its current high-camera center as approximately (267, 253), though other estimates are (267, 251) and (267, 254), compared with an earlier reading of (242, 253). My existing world target of x = −0.161 m and y = −0.118 m was based on the initial pixel location (242, 243), so the hand is still aligned with the old position. I estimate the pepper’s displacement as about +0.05 m to the right and −0.02 m forward. Its position at the top right of the wrist view is consistent with this offset; image right corresponds to world −Y, and the vertical image direction reflects world −X. I will localize the green pepper again using the current high and wrist views with an assumed height of z = 0.79 m. Using a high-camera center near (266, 252), could its world x coordinate be about −0.115 m? I will calculate it.

The updated green-pepper position is approximately x = −0.107 m and y = −0.141 m, rather than the previous x estimate of −0.161 m. I will align the left link6 above it at [−0.107, −0.141, 1.04] m. For the right arm, I considered withdrawing directly to the green car’s pre-grasp pose at [0.26, −0.105, 1.04] m and returning to vertical from its current estimated tilt of 38 degrees. From the measured position [0.052, −0.059, 1.011] m, I initially estimate the distance at about 0.22 m, or 0.216 m, below the 0.25 m limit. The target might pass the precheck, but I will use the nearer intermediate pose [0.20, −0.12, 1.06] m, an estimated distance of 0.16 m, before continuing toward the car. I plan to move both arms for six control steps.

The right arm has moved only a small amount because its orientation is still settling. I considered repeating its current target for seven more control steps. The green pepper appears centered near pixel (320, 150) in the left wrist view at the pre-grasp pose, so the alignment looks good. I will begin lowering the left link6 toward z = 0.925 m for three control steps while the right arm continues toward its existing target.

The green pepper appears centered beneath the left hand, near pixel (271, 253) in the high-camera view. I will continue lowering the left link6 toward z = 0.925 m for three control steps. The right arm is translating slowly because its orientation is still settling. I estimate its current tilt at 12 degrees, while the target is vertical, at 0 degrees. I will continue commanding the same right-arm target, perhaps for four control steps.

The green pepper’s body appears near pixel (330, 270) in the left wrist view, with the pads on either side. I could close at the current link6 height of 0.95 m or lower it to 0.925 m. I estimate the current fingertip height at 0.792 m, the pepper’s center at 0.79 m, and the pad center at 0.82 m. The pads may be slightly high, but the contact could be sufficient. The first yellow-pepper grasp was secure at a link6 height of 0.933 m; the green pepper is bigger and taller, so 0.95 m is likely acceptable. I am considering three steps to close the left gripper while moving the right hand directly above the green car. The right link6 target is [0.26, −0.105, 1.04] m, from its measured position of [0.16, −0.105, 1.044] m, an estimated distance of 0.1 m. Its orientation is nearly vertical. I will use four control steps for the combined action.

The left gripper’s opening command is 0.516, and the green-pepper grip looks good. In the right wrist view, the green car’s center appears near pixel (310, 50). The right link6 is still at x = 0.22 m, short of its pre-grasp target at x = 0.26 m, so I will continue toward that target while making a three-control-step test lift with the left hand.

The green pepper is held, staying fixed in the left wrist view during the lift. The green car is horizontally centered in the right wrist view, with its body spanning approximately image y = 30–240 pixels. I will lower the right link6 to z = 0.92 m while raising the left link6 to z = 1.04 m, using three control steps for both arms.

The green pepper still seems to be at table height in the high-camera view, but it remains fixed relative to the left wrist camera, so I believe it is held. The green car’s center appears near pixel (330, 130) in the right wrist view as the right hand descends. I will continue lowering the right link6 toward z = 0.92 m, initially considering three more control steps. For the left arm, I can begin transporting the pepper toward the blue basket with a 30-degree forward tilt and an intermediate link6 target of [−0.09, −0.09, 1.03] m. From its current position of [−0.108, −0.143, 1.021] m, I estimate this move at 0.06 m. Alternatively, I could move directly to the placement pose [−0.06, −0.05, 1.0] m with a 45-degree forward tilt. I estimate that alternative at a 45-degree orientation change from vertical and a distance of 0.121 m; it might pass the precheck, although previously I used a 30-degree tilt before progressing to 45 degrees. I will choose the 30-degree intermediate approach while the right hand continues descending, keeping the left gripper closed and the right gripper open. I will use four control steps for the combined action.

The green car’s body now spans roughly image y = 40–380 pixels in the right wrist view, with its center near y = 200 pixels. The right link6 height is 0.962 m. I estimate the fingertip height at 0.804 m, the upside-down car’s top at 0.79 m, and the pad center at 0.832 m, which is still high. I will continue lowering the right link6 toward 0.92 m, initially considering three control steps. The left gripper’s actual forward tilt is about 14 degrees. In the high-camera view, the green pepper appears near pixel (281, 184), at the blue basket’s left edge. I considered a left link6 target of [−0.04, −0.05, 1.0] m with a 45-degree forward tilt to place it on the right, but the red pepper is already near pixel (310, 180) and the yellow pepper near (347, 178). The left interior may be better, perhaps at world x = −0.09 m, with a contact center around pixel (290, 180). On another reading, the green pepper is currently near pixel (278, 184). Would a target x coordinate of −0.06 m bring its center near image x = 290 pixels? Perhaps a +0.03 m shift in X is enough. I will use the left link6 target [−0.06, −0.05, 1.0] m with a 45-degree forward tilt, similar to the red-pepper placement. I expect it to pass the precheck. I will use five control steps for the combined motion.

In the high-camera view, the green pepper appears near pixel (290, 180), left of the red pepper and inside the blue basket. The left gripper’s actual forward tilt is about 26 degrees, short of the 45-degree target, but the object appears over the interior. I could release it now, though it seems partly over the front-left rim. In the left wrist view, the white basket is at the bottom left and the blue basket is above it, with the green pepper centered and the white basket directly beneath its left side. Could the pepper be between the baskets, over the blue basket’s left rim or the white basket’s right rim? On another reading of the high-camera view, the pepper is at approximately (290, 183). The blue basket spans image x = 260–378 pixels, putting the pepper’s center 30 pixels inside its left edge. With an estimated pepper radius of 20 pixels, it should fit inside. I will release the green pepper from the left gripper while closing the right gripper around the green car, using three control steps for both actions.

The green pepper is inside the blue basket near the red pepper. The right gripper appears to be around the green car’s body, with an opening command of 0.362. I will test-lift the car toward a link6 height of 1.0 m, initially considering three control steps. I will also withdraw the open left hand toward the rabbit’s pre-grasp position at [−0.014, −0.114, 1.04] m and restore its vertical orientation. Its current link6 position is [−0.071, −0.067, 1.013] m, with an estimated tilt of 28 degrees. I estimate the position change at 0.08 m, which looks suitable. I will use four control steps for the combined action.

The green car stays fixed in the right wrist view and appears slightly lifted in the high-camera view, so I believe it is held. I will transport it toward the red basket with a forward tilt to avoid another placement outside the basket. The first right link6 target is [0.28, −0.06, 1.02] m with a 30-degree forward tilt. From the current position [0.26, −0.107, 0.97] m, I estimate the target distance at 0.064 m and the orientation change at 30 degrees. After that, I plan to use a 45-degree forward tilt at [0.27, −0.05, 1.0] m, putting the contact point around y = +0.06 m, deeper inside. I estimate the held car’s offset at about 0.17 m. Its bottom was at z = 0.75 m when link6 was at z = 0.923 m, giving a bottom offset of −0.173 m. At a 45-degree tilt and link6 height of 1.0 m, I estimate its bottom at z = 0.878 m, above the rim at z = 0.82 m. Is the red basket’s center around x = 0.28 m? With link6 at x = 0.27 m and the grasp center at the same x coordinate, I expect the car to be inside. I will use the 30-degree tilt first while continuing the left hand toward its vertical alignment above the rabbit. I will use five control steps.

In the high-camera view, the green car’s center appears near pixel (445, 186), over the red basket’s front-left interior. The wrist view shows the red basket behind it, which looks good. I estimate the right gripper’s actual forward tilt at 18 degrees, so I will increase it to 45 degrees to reach deeper into the basket, targeting the right link6 position at [0.28, −0.04, 1.0] m while keeping the car grasp closed. The left hand will continue toward its vertical alignment above the rabbit. I will use five control steps.

The right wrist view shows the red basket beneath the green car, so I believe the car is over its interior. I will release it from the right gripper while lowering the left link6 from z = 1.035 m toward z = 0.93 m to grasp the rabbit, whose body I estimate is about 0.05 m tall. The left gripper is still tilted about 7 degrees, so I will continue targeting a vertical orientation. I will use three control steps for both actions.

The green car is resting stably inside the red basket. The rabbit is centered near pixel (320, 180) in the left wrist view, so I will continue lowering the left link6 toward z = 0.93 m, initially considering three control steps. Could the right hand move toward the yellow car next? The yellow car is at approximately x = −0.125 m and y = −0.222 m, which would require the right arm to reach too far across. The left arm can pick it up after placing the rabbit, while the right arm retreats to clear space. I will move the open right hand to a holding position of [0.30, −0.20, 1.07] m and restore its vertical orientation from its current estimated tilt of 31 degrees. I estimate that position target is 0.18 m away and that the retreat is clear. I will use four control steps for the combined retreat and rabbit approach.

The rabbit appears large in the left wrist view, with its body centered near pixel (320, 300) and the gripper pads on either side. The left link6 height is 0.946 m, and I estimate the fingertip height at 0.788 m. The rabbit’s body top may be at 0.83 m, its center at 0.80 m, and the pad center at 0.816 m, so the grasp alignment looks good. I am considering three control steps to close the left gripper while continuing the right arm toward its retreat target for four steps.

The rabbit appears held in the left gripper, with an opening command of 0.368, which looks good. I will test-lift it by targeting a left link6 height of 1.0 m, initially considering three control steps, while continuing the right arm toward the same retreat pose for four control steps.

The rabbit appears held near pixel (312, 246) in the high-camera view. Was its previous image y coordinate 239? Could the larger y coordinate mean it appears closer because of a tilt? Its position remains fixed in the wrist view, which supports that it is held. I will transport it toward the white basket, considering a 30-degree forward tilt followed by 45 degrees. For the immediate move, I will target the left link6 at [−0.20, −0.07, 1.02] m with a 30-degree forward tilt. From its current position of [−0.016, −0.116, 0.987] m, I estimate the target distance at 0.194 m, which looks acceptable. The right arm will continue toward its same retreat target. I initially considered four control steps for that retreat; I will use six steps for the combined action.

The left link6 is still at x = −0.06 m, short of the white-basket approach target. I will continue toward the same target for six control steps. The right arm is nearly in clear space, so I will keep commanding its existing retreat target while it settles.

After 12 control steps toward x = −0.2 m, the left link6 is still at x = −0.098 m. It may be moving slowly because the held rabbit is contacting the blue basket. In the high-camera view, the left arm is over the blue and white baskets, and the rabbit appears partly hidden beneath the gripper near the white basket’s right edge. The wrist view shows the rabbit’s body, with the white basket below and the blue basket above. I will move left and slightly upward to clear the possible rim contact, targeting [−0.20, −0.06, 1.04] m with a 30-degree forward tilt. From the measured pose [−0.098, −0.091, 1.001] m, I estimate the target distance at 0.117 m. Raising it about 0.04 m should provide clearance. I will keep the rabbit grasp closed and use six control steps. Could the right arm collect the yellow car while the left places the rabbit? The right link6 is at [0.3, −0.2, 1.07] m, and the yellow car is around x = −0.125 m, y = −0.222 m, too far across for a direct command. A center target of [0, −0.22, 1.05] m would be about 0.3 m away, exceeding the 0.25 m limit. I could first use [0.1, −0.22, 1.05] m, about 0.2 m away. Reaching the car at x = −0.125 m might then be possible at y = −0.22 m and a grasp height of z = 0.92 m, since that Y position is closer to the base, though reachability remains uncertain. Having the right arm handle the car would save the left arm another trip after placing the rabbit. A right-arm intermediate target of [0.05, −0.22, 1.05] m is approximately 0.25 m away and might exceed the bound. I will instead choose [0.08, −0.22, 1.05] m, an estimated distance of 0.221 m. A subsequent approach to [−0.125, −0.222, 1.04] m would be about 0.205 m away. I considered whether the car needs a yaw adjustment, but the vertical orientation closes along world Y, and its length appears diagonal across X and Y, so that seems acceptable. Although both arms will be near the white and blue baskets, I judge the right arm’s crossing path at y = −0.22 m, in front of the baskets, to be clear of collisions. I will move the open right gripper to the intermediate pose while the left carries the rabbit inward, using six control steps for both arms.

In the high-camera view, the rabbit appears near the white basket’s right rim. The left gripper’s opening command has decreased to 0.152, which might suggest the rabbit is slipping, although it still appears large and held in the wrist view. I will shift the left hand slightly left toward x = −0.23 m to center the rabbit over the basket. I am considering a link6 target of [−0.23, −0.05, 1.02] m with a 45-degree forward tilt. From the current position [−0.182, −0.066, 1.032] m, I estimate the target distance at 0.056 m. The right hand will continue toward the yellow car through its intermediate target of [0.08, −0.22, 1.05] m. I will use five control steps.

The left gripper’s opening command is 0, suggesting that the rabbit has slipped out and the gripper is empty. In the wrist view, the rabbit appears to be lying in the white basket, while the high-camera view places it near the basket’s right edge, perhaps inside. It may have fallen onto the cow and lion and be supported by them. Its long ears may still be on the rim, but I think it is likely sufficiently inside. I will open the left gripper and withdraw to check. I will lift and retreat the open left hand to link6 position [−0.25, −0.12, 1.07] m while returning it to a vertical orientation. I estimate its current tilt at about 40 degrees, with a target tilt of 0 degrees, giving an orientation change of about 40 degrees and a position distance of about 0.08 m. Meanwhile, the open right hand will continue toward the yellow car through its target at [0.08, −0.22, 1.05] m. I will use five control steps for both arms.

The rabbit is stable inside the white basket, so all the wooden toys are sorted. Only the yellow car remains. The right link6 is currently at [0.106, −0.219, 1.051] m, and the car appears near pixel (330, 450), at the bottom center of its wrist view. I interpret that as the car being closer relative to the hand in X and Y. From the high-camera view, its estimated world X and Y coordinates are [−0.125, −0.222] m. I will move the right link6 above the car to [−0.125, −0.222, 1.04] m with a vertical orientation. I estimate the target distance at 0.231 m, below the 0.25 m limit, but could the precheck fail because the arm must reach across? At x = −0.125 m, might it be reaching 0.425 m across from its base? The earlier right-arm target over the blue basket at x = 0.03 m, y = −0.005 m failed because Y was farther away. Here, y ≈ −0.22 m is closer, so I think this target is likely reachable, though that remains unverified. The left hand can withdraw into clear space to prepare for the eventual reset. Its current link6 position is [−0.223, −0.079, 1.04] m, with about 28 degrees of tilt. I considered returning toward [−0.3, −0.3, 0.95] m with the vertical quaternion [0.70710678, 0, 0.70710678, 0] in wxyz order. My initial distance estimate was about 0.24 m, but I then estimated it at about 0.25 m and judged it to exceed the 0.25 m bound. I will instead use [−0.3, −0.25, 1.02] m, approximately 0.2 m away, to get the left arm out of the way. I considered eight control steps for the right arm and six for the left, but both share the action’s step count, so I will use eight steps with both grippers open.

The right-arm precheck had a position error of about 20.5 mm for the target [−0.125, −0.222, 1.04] m. I could use a closer intermediate link6 pose at [−0.08, −0.24, 1.02] m or [−0.10, −0.24, 1.0] m. Lowering the target height to z = 1.0 m should increase reach. A lower pre-grasp pose at [−0.125, −0.222, 1.0] m may be reachable. I estimate the yellow car’s top at z = 0.79 m and the fingertips at z = 0.842 m, leaving safe clearance. I can try the lower approach directly. I will target the right link6 at [−0.12, −0.23, 1.0] m while the left arm retreats, using eight control steps.

The right link6 is currently at x = −0.016 m, and the yellow car’s center appears near pixel (315, 350) in the right wrist view, almost aligned horizontally. Moving toward the target x = −0.12 m should shift the car vertically in the image rather than horizontally, because world X contributes to the camera’s vertical mapping. I take the car’s world x coordinate to be −0.125 m, placing it −0.109 m relative to the end effector. That is consistent with it appearing low in the image at y = 350 pixels. Would moving the end effector left to x = −0.12 m bring the car upward? Using the vertical mapping −0.866x + 0.5z, I expect the relative X coordinate to go from −0.109 m to zero, decreasing the image’s vertical coordinate. Perhaps the car’s center would move toward y = 180 pixels, which looks suitable. I will continue toward the right arm’s existing pre-grasp target and the left arm’s retreat target for eight control steps.

The yellow car appears centered near pixel (320, 250) in the right wrist view, which looks good. The right link6 is at [−0.085, −0.233, 1.002] m, nearly at the pre-grasp target [−0.12, −0.23, 1.0] m. I will descend toward a link6 height of 0.92 m; I estimate the car’s body top at about 0.79 m, so that grasp height seems suitable. The right arm is reaching across with its gripper pointing vertically down. Although the arms overlap in the high-camera view, the left link6 is clear at [−0.291, −0.232, 1.022] m and the right link6 has x = −0.085 m. I judge the gap sufficient to avoid a collision. I will use three control steps to descend the open right gripper while moving the open left gripper farther into clear space toward [−0.32, −0.32, 1.0] m, an estimated distance of 0.096 m.

In the right wrist view, the yellow car’s body spans approximately image y = 150–420 pixels, with its center near y = 280 pixels and the fingertips also near y = 280 pixels. The right link6 is at z = 0.956 m, and I estimate the pad center at z = 0.826 m, which may still be too high. I considered two final descent steps toward link6 z = 0.92 m; I will use three control steps. The left arm can continue toward its clearance target, though holding its current pose is another option to avoid interference.

The yellow car appears large in the right wrist view, with the finger pads at its sides near the front and back. I will close the right gripper for three control steps.

The right gripper’s opening command is 0.484. The yellow car appears to have rotated slightly but remains held. I will make a test lift with the right link6 target at z = 1.0 m for three control steps to confirm the grasp.

The yellow car rotated 90 degrees during the grasp but appears to remain held, with the right gripper’s opening command at 0.309. Did the test lift succeed? In the high-camera view, the car moved from approximately pixel (254, 294) to (234, 302), so I believe it did. I will lift it farther by targeting the right link6 height at z = 1.04 m for three control steps.

Could the maximum cross-body link6 height at x = −0.117 m and y = −0.232 m be about 0.99 m? The target at z = 1.04 m failed the precheck with a position error of about 13.5 mm. I will instead keep the height target at z = 1.0 m; after three control steps, the measured height was 0.959 m, which I consider nearly there. I could continue toward z = 1.0 m while translating toward x = 0 m and y = −0.20 m, an estimated distance of 0.122 m. This would move the right arm toward its own side while maintaining the height target. For the immediate move, I will use the vertical right link6 target [0.02, −0.20, 1.0] m. Is it reachable? I think it likely is. Afterward, I could continue toward [0.20, −0.10, 1.03] m. I plan to use five control steps.

The yellow car remains secure. I will move the right link6 toward [0.12, −0.15, 1.04] m with the gripper still vertical. I estimate the target distance from the current pose at about 0.202 m, within the 0.25 m limit, with a planned increase in z of 0.063 m. This skips completing the intermediate target at x = 0.02 m. I think the new pose is likely to pass the reach precheck. I will use seven control steps.

I will continue commanding the same targets for seven more control steps, moving the right hand toward [0.12, −0.15, 1.04] m while maintaining its grasp on the yellow car and keeping the left arm open at its clearance pose.

I will move the right link6 toward the red basket at [0.26, −0.08, 1.02] m with a 30-degree forward tilt. I estimate the target distance at 0.165 m, within the 0.25 m limit. The held yellow car appears long and vertical in the wrist view, but I see no obstacles along the planned path. This target is above the basket’s front-left area; afterward, I plan to increase the forward tilt to 45 degrees to reach deeper inside. I will use six control steps.

The yellow car in the right gripper is near the red basket’s left edge and still needs to move toward the target. The blue basket is underneath on the left, but there is no contact yet. I will continue toward the same targets for six more control steps.

The right link6 is at x = 0.195 m, still short of its target at x = 0.26 m. It is moving slowly, perhaps because the held yellow car is near the blue and red basket walls. In the high-camera view, the car appears near pixel (415, 200), at the red basket’s front-left edge. The wrist view shows the red basket above and to the left, the blue basket below, and the car between them. Moving right by 0.065 m may clear the blue rim. Is the car’s left side currently touching the red basket’s left wall? I should raise the right link6 slightly to z = 1.06 m and move toward x = 0.27 m, y = −0.06 m while retaining the 30-degree forward tilt, to keep the car’s bottom above the rims. The current link6 height is 1.034 m; with an estimated car-bottom offset of about 0.17 m, I estimate its bottom at z = 0.864 m, above the rim at z = 0.82 m. Raising it about 0.03 m should help. I will use the target [0.28, −0.06, 1.06] m, an estimated distance of 0.102 m, with the same 30-degree tilt. Could this higher pose fail the reach precheck? The earlier target at y = 0.08 m, z = 1.08 m failed, but y = −0.06 m, z = 1.06 m seems likely to be reachable. I will use six control steps.

The yellow car has dropped into the red basket and appears stable. I interpret the right gripper’s opening command of 0 as an empty, closed gripper. All objects now appear sorted, and the table is clear. I should verify the contents: the white basket holds the cow, lion, and rabbit, three wooden toys; the blue basket holds the green, red, and yellow peppers, three peppers; and the red basket holds the upside-down green car, showing its black underside, and the yellow car, two cars. I need to reset both arms, but first both empty grippers must be open and in clear space. The left link6 is currently at [−0.32, −0.32, 1.0] m with a vertical orientation and an open gripper. The right link6 is at [0.272, −0.066, 1.057] m with a 30-degree forward tilt and an empty, closed gripper. They are above the table and baskets. I will use robot_act to move them into clear space. I am considering a right link6 target of [0.30, −0.30, 1.02] m, returning to vertical with the gripper open, and a left target of [−0.30, −0.35, 0.95] m with a vertical orientation and the gripper open. I estimate the right translation at 0.234 m and its orientation change at 30 degrees, and the left translation at 0.06 m. Both estimated translation distances are within the 0.25 m limit. This should move the right hand away from the basket and bring the left hand near its starting position. After that clearance motion, I can call robot_reset, perhaps allowing 30 control steps. There are 596 steps remaining, so the budget is ample. I expect native_success only after the required arm return.

I estimate the orientation difference between the initial and vertical poses as 90 degrees, or 1.57 rad, exceeding the 1.0 rad limit, so I need an intermediate orientation using spherical linear interpolation. The left gripper currently points down, and its target is the initial orientation, a 90-degree rotation about Z. Could the halfway quaternion be [0.6533, −0.2706, 0.2706, 0.6533] in wxyz order? I will calculate it with SciPy at interpolation fraction t = 0.5; I expect an angular change of 0.785 rad from the downward pose. What is the orientation difference between the right gripper’s current 30-degree tilt and the initial orientation? It may exceed 1.57 rad. Perhaps both arms can use the same intermediate orientation if the right gripper’s angular distance to it is below 1.0 rad. I will calculate these distances with SciPy.

After eight control steps, the right link6 is still at y = −0.145 m rather than the target y = −0.28 m. The red basket is at about y = 0 m, and the gripper tip may extend 0.054 m forward as well as downward. The hand appears clear of the basket with no collision, but the reset trajectory could swing forward over the containers. I will continue toward the same retreat target for eight more control steps to provide better clearance before resetting.

The right arm is now nearly at its retreat target and clear of the baskets. I will allow 40 control steps for the reset, since the arms may still be some way from their initial joint configurations. The left arm’s initial link6 position is [−0.3, −0.352, 0.922] m. I estimate its current position is 0.082 m away, with an orientation difference of 120 degrees. The right arm’s initial link6 position is [0.3, −0.352, 0.922] m, and I estimate its current position is 0.175 m away. I am unsure of its orientation difference. The reset follows a joint-space return path rather than a direct positional move, so I will call robot_reset with 40 control steps.

The feedback reports native_success as true. I will briefly report that all objects are sorted into their matching baskets and the robot arms have returned, including the native success result. The episode has ended, so I will take no further robot actions.