Time bar (total: 9.8s)
| 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)
| 1.2s | 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 |
| ▶ | 6.5b | (/.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 |
| ✓ | 3.0b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| ✓ | 3.5b | (*.f64 y (fma.f64 z z 1)) |
2 calls:
| 155.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 18.0ms | (*.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:
| 24.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 10.0ms | (*.f64 y (fma.f64 z z 1)) |
| 1× | egg-herbie |
| 469× | associate-/r*_binary64 |
| 451× | associate-*l*_binary64 |
| 414× | associate-/l*_binary64 |
| 336× | associate-/l/_binary64 |
| 296× | 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 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 7 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 7 | 123 |
| Status | Error | Program |
| ▶ | 6.4b | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 6.5b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 7.2b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| 6.6b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| 23.9b | (/.f64 (/.f64 1 x) y) | |
| 7.1b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 17.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) |
Compiled 2272 to 1413 computations (37.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 3.2b | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| ✓ | 4.4b | (/.f64 (/.f64 1 x) (fma.f64 z z 1)) |
2 calls:
| 153.0ms | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 60.0ms | (/.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:
| 39.0ms | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 9.0ms | (/.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 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 5 | 303 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 300 | 10 | 310 |
| Status | Error | Program |
| 7.1b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 7.1b | (*.f64 (*.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (fma.f64 z z 1))) | |
| 48.9b | (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (hypot.f64 1 z)) (sqrt.f64 y)) (/.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (hypot.f64 1 z)) (sqrt.f64 y))) | |
| ✓ | 6.4b | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) |
| 7.2b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| ▶ | 3.2b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 6.6b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| 49.1b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (hypot.f64 1 z)) (/.f64 (sqrt.f64 (/.f64 1 x)) (hypot.f64 1 z)))) | |
| 3.8b | (*.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)))) | |
| 17.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) |
Compiled 7045 to 4723 computations (33% 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))) |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| ✓ | 3.2b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
4 calls:
| 194.0ms | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 84.0ms | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| 79.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 6.0ms | (/.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:
| 27.0ms | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| 26.0ms | (*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) |
| 12.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 3.0ms | (/.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 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 6 | 521 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 521 | 10 | 531 |
| Status | Error | Program |
| 7.1b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 7.1b | (*.f64 (*.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (fma.f64 z z 1))) | |
| 0.7b | (/.f64 (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 1 x))) (*.f64 y (hypot.f64 1 z))) | |
| ▶ | 0.7b | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 17.3b | (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (hypot.f64 1 z)) (sqrt.f64 y))) | |
| 7.2b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| 6.6b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| 3.5b | (/.f64 (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z)) (hypot.f64 1 z)) | |
| 1.4b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 1 (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) (hypot.f64 1 z)) | |
| 3.1b | (/.f64 (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (hypot.f64 1 z)) y) |
Compiled 13788 to 10315 computations (25.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 1 z) |
| ✓ | 0.0b | (*.f64 y (hypot.f64 1 z)) |
| 0.1b | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) | |
| ✓ | 0.7b | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
3 calls:
| 174.0ms | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 25.0ms | (*.f64 y (hypot.f64 1 z)) |
| 8.0ms | (hypot.f64 1 z) |
| 1× | rewrite-expression-head |
| 175× | times-frac_binary64 |
| 77× | add-sqr-sqrt_binary64 |
| 75× | *-un-lft-identity_binary64 |
| 75× | add-cube-cbrt_binary64 |
| 43× | associate-/l*_binary64 |
3 calls:
| 21.0ms | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 6.0ms | (*.f64 y (hypot.f64 1 z)) |
| 1.0ms | (hypot.f64 1 z) |
| 1× | egg-herbie |
| 805× | associate-/l*_binary64 |
| 575× | fma-def_binary64 |
| 472× | associate-*l/_binary64 |
| 439× | associate-/r/_binary64 |
| 229× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 4922 |
| 1 | 722 | 4369 |
| 2 | 2242 | 4049 |
| 3 | 4669 | 4045 |
| 4 | 4951 | 4045 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 406 | 5 | 411 |
| Fresh | 5 | 4 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 412 | 9 | 421 |
| Status | Error | Program |
| 7.2b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| 0.9b | (/.f64 1 (/.f64 (*.f64 y (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) | |
| 15.8b | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| 7.2b | (*.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 (fma.f64 z z 1))) | |
| 1.4b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 1 (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) (hypot.f64 1 z)) | |
| 0.7b | (/.f64 (/.f64 1 (*.f64 (hypot.f64 1 z) x)) (*.f64 y (hypot.f64 1 z))) | |
| 7.1b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 0.7b | (/.f64 (*.f64 (/.f64 1 x) (/.f64 1 (hypot.f64 1 z))) (*.f64 y (hypot.f64 1 z))) | |
| 3.1b | (/.f64 (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (hypot.f64 1 z)) y) |
Compiled 9385 to 6490 computations (30.8% saved)
Total 1.2b remaining (83.7%)
Threshold costs 0b (0%)
Compiled 21186 to 15541 computations (26.6% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | *-lft-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 17 | 22 |
| 2 | 16 | 22 |
Compiled 228 to 170 computations (25.4% saved)
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