Beckmann Distribution sample, tan2theta, alphax != alphay, u1 <= 0.5
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 24.6% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 26.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 30.8% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 53 to 36 computations (32.1% saved)
| 34.0ms | 260× | 0 | valid |
const: 6.0ms (22.6% of total)ival-<=: 5.0ms (18.9% of total)ival-div: 4.0ms (15.1% of total)ival-mult: 3.0ms (11.3% of total)ival-log: 3.0ms (11.3% of total)ival-add: 1.0ms (3.8% of total)ival-sub: 1.0ms (3.8% of total)ival-and: 1.0ms (3.8% of total)ival-neg: 1.0ms (3.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 199 | 12 | (0.015487125143408775 0.0018514856928959489 0.010978344827890396 6.278184916386209e-11 0.00030307465931400657) | 0 | - | (log.f32 (-.f32 #s(literal 1 binary32) u0)) |
| 5 | 0 | - | 5 | (0.6850838661193848 0.015317603945732117 0.6330215930938721 5.037554084121825e-17 1.6087736931511925e+35) | (/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) |
| 0 | 0 | - | 0 | - | (*.f32 alphay alphay) |
| 0 | 0 | - | 0 | - | (*.f32 alphax alphax) |
| 0 | 0 | - | 0 | - | (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | sin2phi |
| 0 | 0 | - | 0 | - | (/.f32 cos2phi (*.f32 alphax alphax)) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u0) |
| 0 | 0 | - | 0 | - | alphax |
| 0 | 0 | - | 0 | - | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) |
| 0 | 0 | - | 0 | - | u0 |
| 0 | 0 | - | 0 | - | cos2phi |
| 0 | 0 | - | 0 | - | alphay |
| 0 | 0 | - | 0 | - | (/.f32 sin2phi (*.f32 alphay alphay)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (-.f32 #s(literal 1 binary32) u0)) | sensitivity | 211 | 10 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 183 | 3 |
| - | 28 | 42 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 183 | 2 | 1 |
| - | 28 | 8 | 34 |
| number | freq |
|---|---|
| 0 | 45 |
| 1 | 211 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 261.0ms | 3 072× | 0 | valid |
Compiled 2 460 to 744 computations (69.8% saved)
ival-div: 49.0ms (30.7% of total)ival-log: 40.0ms (25% of total)ival-mult: 30.0ms (18.8% of total)ival-sub: 14.0ms (8.8% of total)ival-add: 11.0ms (6.9% of total)ival-neg: 11.0ms (6.9% of total)ival-true: 2.0ms (1.3% of total)exact: 2.0ms (1.3% of total)adjust: 1.0ms (0.6% of total)ival-assert: 1.0ms (0.6% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 349 |
| 1 | 241 | 333 |
| 2 | 507 | 333 |
| 3 | 1324 | 333 |
| 4 | 3668 | 333 |
| 5 | 5202 | 333 |
| 6 | 5935 | 333 |
| 7 | 6093 | 333 |
| 8 | 6209 | 333 |
| 9 | 6255 | 333 |
| 10 | 6513 | 333 |
| 11 | 7277 | 333 |
| 12 | 7585 | 333 |
| 13 | 7633 | 333 |
| 14 | 7637 | 333 |
| 15 | 7637 | 333 |
| 16 | 7645 | 333 |
| 17 | 7645 | 333 |
| 18 | 7789 | 333 |
| 0 | 15 | 17 |
| 0 | 24 | 17 |
| 1 | 38 | 17 |
| 2 | 49 | 17 |
| 3 | 67 | 17 |
| 4 | 107 | 17 |
| 5 | 172 | 17 |
| 6 | 275 | 17 |
| 7 | 451 | 17 |
| 8 | 879 | 17 |
| 9 | 1599 | 17 |
| 10 | 1765 | 17 |
| 11 | 1852 | 17 |
| 12 | 1874 | 17 |
| 13 | 1881 | 17 |
| 14 | 1882 | 17 |
| 0 | 1882 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) |
| Outputs |
|---|
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) |
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 sin2phi (*.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))) |
(abs alphay)
(abs alphax)
Compiled 17 to 15 computations (11.8% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 62.5% | (/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) |
Compiled 34 to 30 computations (11.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 17 |
| 1 | 26 | 17 |
| 2 | 35 | 17 |
| 3 | 46 | 17 |
| 4 | 64 | 17 |
| 5 | 83 | 17 |
| 6 | 97 | 17 |
| 7 | 105 | 17 |
| 8 | 107 | 17 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) |
| Outputs |
|---|
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) |
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 sin2phi (*.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))) |
| 1× | fuel |
Compiled 17 to 15 computations (11.8% saved)
(abs alphax)
(abs alphay)
Compiled 204 to 180 computations (11.8% saved)
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