Time bar (total: 6.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 31.2% | 68.6% | 0.1% | 8 |
| 35.9% | 64% | 0.1% | 9 |
| 47.6% | 49.9% | 2.5% | 10 |
| 49.1% | 46.8% | 4% | 11 |
| 51.1% | 44.1% | 4.8% | 12 |
| 60.2% | 29.9% | 9.9% | 13 |
| 60.6% | 27.9% | 11.6% | 14 |
Compiled 15 to 10 computations (33.3% saved)
(sort x y)
| 847.0ms | 8256× | body | 128 | valid |
| 161.0ms | 1569× | body | 128 | invalid |
Compiled 44 to 29 computations (34.1% saved)
| 1× | egg-herbie |
| 826× | associate-*r/_binary64 |
| 769× | associate-/l/_binary64 |
| 660× | associate-*l/_binary64 |
| 522× | associate-/l*_binary64 |
| 421× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 30 | 16 |
| 2 | 78 | 14 |
| 3 | 195 | 14 |
| 4 | 314 | 14 |
| 5 | 383 | 14 |
| 6 | 426 | 14 |
| 7 | 631 | 14 |
| 8 | 1009 | 14 |
| 9 | 2204 | 14 |
| 10 | 2868 | 14 |
| 11 | 2967 | 14 |
| 12 | 3079 | 14 |
| 13 | 3193 | 14 |
| 14 | 3058 | 14 |
| 15 | 3712 | 14 |
| 16 | 4988 | 14 |
| 17 | 4824 | 14 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 7.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 13.3b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
Compiled 78 to 45 computations (42.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.f64 y (fma.f64 z z z)) z) |
| ✓ | 5.7b | (/.f64 y (fma.f64 z z z)) |
| ✓ | 6.0b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
3 calls:
| 97.0ms | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 95.0ms | (/.f64 (/.f64 y (fma.f64 z z z)) z) |
| 34.0ms | (/.f64 y (fma.f64 z z z)) |
| 1× | rewrite-expression-head |
| 153× | times-frac_binary64 |
| 98× | add-sqr-sqrt_binary64 |
| 89× | *-un-lft-identity_binary64 |
| 89× | add-cube-cbrt_binary64 |
| 43× | associate-*r*_binary64 |
3 calls:
| 11.0ms | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 4.0ms | (/.f64 (/.f64 y (fma.f64 z z z)) z) |
| 2.0ms | (/.f64 y (fma.f64 z z z)) |
| 1× | egg-herbie |
| 805× | fma-def_binary64 |
| 353× | fma-neg_binary64 |
| 351× | *-commutative_binary64 |
| 341× | associate-/r/_binary64 |
| 275× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 4846 |
| 1 | 687 | 4599 |
| 2 | 2304 | 4515 |
| 3 | 3607 | 4509 |
| 4 | 4817 | 4509 |
| 5 | 4963 | 4509 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 288 | 8 | 296 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 289 | 9 | 298 |
| Status | Error | Program |
| 13.7b | (*.f64 (*.f64 y x) (/.f64 (/.f64 1 (fma.f64 z z z)) z)) | |
| ▶ | 5.7b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 7.5b | (*.f64 (*.f64 x (/.f64 y (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 1 (fma.f64 z z z)) (cbrt.f64 z))) | |
| 13.8b | (*.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 z z z))) z)) | |
| 30.9b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| 13.6b | (*.f64 (*.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z)) | |
| 22.8b | (/.f64 (*.f64 y x) (+.f64 (pow.f64 z 2) (pow.f64 z 3))) | |
| 34.4b | (*.f64 x (*.f64 (/.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z)) (/.f64 (/.f64 y (sqrt.f64 z)) (hypot.f64 z (sqrt.f64 z))))) | |
| ✓ | 7.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
Compiled 6239 to 1430 computations (77.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 1.5b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| ✓ | 5.1b | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 5.7b | (/.f64 y (fma.f64 z z z)) |
2 calls:
| 100.0ms | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 72.0ms | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 1× | rewrite-expression-head |
| 17× | add-sqr-sqrt_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 13× | associate-*r*_binary64 |
| 13× | times-frac_binary64 |
2 calls:
| 4.0ms | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 4.0ms | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 1× | egg-herbie |
| 604× | fma-neg_binary64 |
| 483× | associate-*l*_binary64 |
| 433× | associate-/r*_binary64 |
| 417× | associate-*r*_binary64 |
| 378× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 2289 |
| 1 | 397 | 2096 |
| 2 | 1539 | 1990 |
| 3 | 4439 | 1990 |
| 4 | 4968 | 1990 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 4 | 175 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 174 | 10 | 184 |
| Status | Error | Program |
| 8.5b | (/.f64 (*.f64 (*.f64 x y) (/.f64 1 (fma.f64 z z z))) z) | |
| 22.8b | (/.f64 (*.f64 y x) (+.f64 (pow.f64 z 2) (pow.f64 z 3))) | |
| ▶ | 6.9b | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
| 30.9b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| 13.6b | (*.f64 (*.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z)) | |
| 34.4b | (*.f64 x (*.f64 (/.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z)) (/.f64 (/.f64 y (sqrt.f64 z)) (hypot.f64 z (sqrt.f64 z))))) | |
| ✓ | 7.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 40.6b | (/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))))) z) | |
| 32.7b | (/.f64 (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))) z) | |
| ✓ | 5.7b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
Compiled 3272 to 931 computations (71.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 z (/.f64 y (fma.f64 z z z))) |
| 5.7b | (/.f64 y (fma.f64 z z z)) | |
| ✓ | 5.7b | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
2 calls:
| 93.0ms | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
| 15.0ms | (/.f64 z (/.f64 y (fma.f64 z z z))) |
| 1× | rewrite-expression-head |
| 471× | times-frac_binary64 |
| 229× | *-un-lft-identity_binary64 |
| 229× | add-sqr-sqrt_binary64 |
| 229× | add-cube-cbrt_binary64 |
| 57× | associate-/r*_binary64 |
2 calls:
| 8.0ms | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
| 6.0ms | (/.f64 z (/.f64 y (fma.f64 z z z))) |
| 1× | egg-herbie |
| 579× | associate-/r/_binary64 |
| 431× | associate-/l/_binary64 |
| 401× | fma-def_binary64 |
| 378× | associate-*l/_binary64 |
| 332× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 9126 |
| 1 | 1085 | 8731 |
| 2 | 4136 | 8600 |
| 3 | 4639 | 8600 |
| 4 | 4989 | 8600 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 536 | 3 | 539 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 540 | 9 | 549 |
| Status | Error | Program |
| 32.7b | (/.f64 (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))) z) | |
| 5.8b | (/.f64 (/.f64 x (/.f64 z y)) (fma.f64 z z z)) | |
| 34.6b | (/.f64 x (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 y (fma.f64 z z z))))) | |
| ▶ | 5.0b | (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x))) |
| 13.6b | (*.f64 (*.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z)) | |
| 8.5b | (/.f64 (*.f64 (*.f64 x y) (/.f64 1 (fma.f64 z z z))) z) | |
| ✓ | 7.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 40.6b | (/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))))) z) | |
| ✓ | 5.7b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
Compiled 12562 to 2322 computations (81.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 0.8b | (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x))) |
| ✓ | 2.2b | (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x)) |
| 5.7b | (/.f64 y (fma.f64 z z z)) |
3 calls:
| 270.0ms | (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x)) |
| 112.0ms | (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x))) |
| 32.0ms | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 44× | add-exp-log_binary64 |
| 30× | add-cbrt-cube_binary64 |
| 25× | add-sqr-sqrt_binary64 |
| 20× | associate-*l*_binary64 |
| 20× | cbrt-unprod_binary64 |
3 calls:
| 9.0ms | (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x)) |
| 8.0ms | (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x))) |
| 1.0ms | (cbrt.f64 x) |
| 1× | egg-herbie |
| 584× | associate-/r*_binary64 |
| 489× | fma-neg_binary64 |
| 359× | fma-def_binary64 |
| 299× | cancel-sign-sub-inv_binary64 |
| 213× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 3766 |
| 1 | 552 | 2703 |
| 2 | 1953 | 2641 |
| 3 | 4854 | 2641 |
| 4 | 5132 | 2641 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 1 | 254 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 254 | 9 | 263 |
| Status | Error | Program |
| 34.6b | (/.f64 x (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 y (fma.f64 z z z))))) | |
| 13.3b | (pow.f64 (/.f64 (*.f64 y x) (*.f64 z (fma.f64 z z z))) 1) | |
| 32.7b | (/.f64 (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))) z) | |
| 5.8b | (/.f64 (/.f64 x (/.f64 z y)) (fma.f64 z z z)) | |
| ✓ | 5.0b | (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (fma.f64 z z z)) (cbrt.f64 x))) |
| 8.5b | (/.f64 (*.f64 (*.f64 x y) (/.f64 1 (fma.f64 z z z))) z) | |
| ✓ | 7.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 40.6b | (/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))))) z) | |
| ✓ | 5.7b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
Compiled 6087 to 1282 computations (78.9% saved)
Total 1.8b remaining (60.9%)
Threshold costs 0b (0%)
Compiled 25812 to 13861 computations (46.3% saved)
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 124 |
| 1 | 29 | 124 |
| 2 | 29 | 124 |
Compiled 488 to 171 computations (65% saved)
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