Time bar (total: 5.8s)
| 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 |
| 25% | 74.9% | 0.1% | 4 |
| 37.4% | 62.4% | 0.1% | 5 |
| 56.2% | 43.7% | 0.1% | 6 |
| 56.2% | 43.7% | 0.1% | 7 |
| 65.5% | 34.3% | 0.1% | 8 |
| 76.5% | 23.4% | 0.1% | 9 |
| 76.5% | 23.4% | 0.1% | 10 |
| 81.9% | 17.9% | 0.1% | 11 |
| 87.8% | 12.1% | 0.1% | 12 |
| 87.8% | 12.1% | 0.1% | 13 |
| 90.7% | 9.2% | 0.1% | 14 |
Compiled 15 to 11 computations (26.7% saved)
(sort x y)
| 722.0ms | 8256× | body | 128 | valid |
Compiled 44 to 32 computations (27.3% saved)
| 1× | egg-herbie |
| 44× | fma-def_binary64 |
| 37× | associate-*l*_binary64 |
| 36× | associate-*r*_binary64 |
| 20× | *-commutative_binary64 |
| 19× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 24 | 14 |
| 2 | 41 | 14 |
| 3 | 94 | 14 |
| 4 | 122 | 14 |
| 5 | 149 | 14 |
| 6 | 153 | 14 |
| 7 | 146 | 14 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 6.4b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
Compiled 50 to 34 computations (32% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 3.2b | (*.f64 y (fma.f64 z z 1)) |
| ✓ | 4.3b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
2 calls:
| 89.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 13.0ms | (*.f64 y (fma.f64 z z 1)) |
| 1× | rewrite-expression-head |
| 31× | times-frac_binary64 |
| 26× | add-exp-log_binary64 |
| 20× | add-sqr-sqrt_binary64 |
| 18× | *-un-lft-identity_binary64 |
| 18× | add-cube-cbrt_binary64 |
2 calls:
| 5.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 3.0ms | (*.f64 y (fma.f64 z z 1)) |
| 1× | egg-herbie |
| 469× | associate-/r*_binary64 |
| 453× | associate-*l*_binary64 |
| 414× | associate-/l*_binary64 |
| 336× | associate-/l/_binary64 |
| 297× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 2203 |
| 1 | 330 | 1967 |
| 2 | 1107 | 1965 |
| 3 | 3956 | 1963 |
| 4 | 4482 | 1963 |
| 5 | 4806 | 1963 |
| 6 | 4938 | 1963 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 9 | 132 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 124 | 9 | 133 |
| Status | Error | Program |
| ▶ | 5.7b | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 7.1b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 19.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| 6.0b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 6.0b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 z z 1))) | |
| 6.0b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| 6.8b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (fma.f64 y (*.f64 z z) y) (cbrt.f64 x))) | |
| 6.4b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| 26.3b | (/.f64 (/.f64 1 x) y) |
Compiled 2534 to 1464 computations (42.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 3.1b | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| ✓ | 3.5b | (/.f64 (/.f64 1 x) (fma.f64 z z 1)) |
2 calls:
| 93.0ms | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 36.0ms | (/.f64 (/.f64 1 x) (fma.f64 z z 1)) |
| 1× | rewrite-expression-head |
| 173× | times-frac_binary64 |
| 126× | add-sqr-sqrt_binary64 |
| 93× | *-un-lft-identity_binary64 |
| 86× | add-cube-cbrt_binary64 |
| 76× | add-exp-log_binary64 |
2 calls:
| 16.0ms | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 4.0ms | (/.f64 (/.f64 1 x) (fma.f64 z z 1)) |
| 1× | egg-herbie |
| 758× | fma-def_binary64 |
| 687× | times-frac_binary64 |
| 610× | associate-/l*_binary64 |
| 504× | fma-neg_binary64 |
| 455× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 5183 |
| 1 | 573 | 4561 |
| 2 | 1638 | 4502 |
| 3 | 4092 | 4490 |
| 4 | 5107 | 4490 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 5 | 303 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 9 | 312 |
| Status | Error | Program |
| 4.0b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (hypot.f64 1 z)) (/.f64 (cbrt.f64 (/.f64 1 x)) (hypot.f64 1 z)))) | |
| 6.0b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| 6.0b | (/.f64 1 (*.f64 (*.f64 x (fma.f64 z z 1)) y)) | |
| 6.8b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (fma.f64 y (*.f64 z z) y) (cbrt.f64 x))) | |
| 6.4b | (/.f64 (*.f64 1 (/.f64 1 x)) (*.f64 y (fma.f64 z z 1))) | |
| 19.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| ▶ | 3.4b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 7.1b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 19.5b | (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (/.f64 1 x) (fma.f64 z z 1)))) |
Compiled 7034 to 4706 computations (33.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 1 z)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| ✓ | 0.3b | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| ✓ | 3.1b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
4 calls:
| 105.0ms | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 50.0ms | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| 44.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 3.0ms | (/.f64 1 (hypot.f64 1 z)) |
| 1× | rewrite-expression-head |
| 451× | add-exp-log_binary64 |
| 220× | div-exp_binary64 |
| 191× | times-frac_binary64 |
| 184× | prod-exp_binary64 |
| 143× | add-sqr-sqrt_binary64 |
4 calls:
| 18.0ms | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| 13.0ms | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 5.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 2.0ms | (/.f64 1 (hypot.f64 1 z)) |
| 1× | egg-herbie |
| 834× | fma-def_binary64 |
| 475× | *-commutative_binary64 |
| 339× | fma-neg_binary64 |
| 298× | associate-/r/_binary64 |
| 256× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 387 | 9628 |
| 1 | 940 | 8532 |
| 2 | 2613 | 8250 |
| 3 | 4207 | 8242 |
| 4 | 4946 | 8242 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 517 | 4 | 521 |
| Fresh | 4 | 4 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 521 | 9 | 530 |
| Status | Error | Program |
| ✓ | 3.4b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 3.8b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 1 (hypot.f64 1 z)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (hypot.f64 1 z)))) | |
| 3.5b | (/.f64 (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z)) (hypot.f64 1 z)) | |
| ▶ | 1.9b | (/.f64 (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x))) (*.f64 y (hypot.f64 1 z))) |
| 7.1b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 19.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| 1.9b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 1 (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) (hypot.f64 1 z)) | |
| 6.0b | (/.f64 1 (*.f64 (*.f64 x (fma.f64 z z 1)) y)) | |
| 19.5b | (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (/.f64 1 x) (fma.f64 z z 1)))) |
Compiled 13802 to 10325 computations (25.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 1 (hypot.f64 1 z)) | |
| ✓ | 0.0b | (*.f64 y (hypot.f64 1 z)) |
| ✓ | 0.4b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x)) |
| ✓ | 1.6b | (/.f64 (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x))) (*.f64 y (hypot.f64 1 z))) |
3 calls:
| 112.0ms | (/.f64 (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x))) (*.f64 y (hypot.f64 1 z))) |
| 44.0ms | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x)) |
| 17.0ms | (*.f64 y (hypot.f64 1 z)) |
| 1× | rewrite-expression-head |
| 350× | add-exp-log_binary64 |
| 184× | prod-exp_binary64 |
| 150× | div-exp_binary64 |
| 74× | 1-exp_binary64 |
| 73× | add-cbrt-cube_binary64 |
3 calls:
| 10.0ms | (/.f64 (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x))) (*.f64 y (hypot.f64 1 z))) |
| 8.0ms | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x)) |
| 3.0ms | (*.f64 y (hypot.f64 1 z)) |
| 1× | egg-herbie |
| 869× | times-frac_binary64 |
| 491× | fma-neg_binary64 |
| 353× | sub-neg_binary64 |
| 332× | fma-def_binary64 |
| 300× | associate-/r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 5656 |
| 1 | 762 | 4654 |
| 2 | 2623 | 4135 |
| 3 | 3859 | 4117 |
| 4 | 4706 | 4081 |
| 5 | 4968 | 4078 |
| 6 | 4934 | 4078 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 3 | 370 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 371 | 8 | 379 |
| Status | Error | Program |
| 2.1b | (/.f64 (*.f64 1 (/.f64 1 (hypot.f64 1 z))) (*.f64 (*.f64 y (hypot.f64 1 z)) x)) | |
| 19.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| ✓ | 3.4b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 3.8b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 1 (hypot.f64 1 z)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (hypot.f64 1 z)))) | |
| 19.5b | (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (/.f64 1 x) (fma.f64 z z 1)))) | |
| 1.7b | (/.f64 (*.f64 1 (/.f64 (/.f64 1 (hypot.f64 1 z)) x)) (*.f64 y (hypot.f64 1 z))) | |
| 6.4b | (/.f64 (*.f64 1 (*.f64 1 (/.f64 1 x))) (fma.f64 y (*.f64 z z) y)) | |
| 7.1b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) |
Compiled 9046 to 6689 computations (26.1% saved)
Total 1.4b remaining (97.4%)
Threshold costs 0b (0%)
Compiled 24330 to 17678 computations (27.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 16 | 25 |
| 2 | 15 | 25 |
Compiled 259 to 195 computations (24.7% saved)
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