Time bar (total: 13.9s)
| 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 |
| 25% | 74.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 43.7% | 56.2% | 0.1% | 8 |
| 62.4% | 37.4% | 0.1% | 9 |
| 65.5% | 34.3% | 0.1% | 10 |
| 71.8% | 27.7% | 0.5% | 11 |
| 79.2% | 19.7% | 1.1% | 12 |
| 80.2% | 18.7% | 1.1% | 13 |
| 82.8% | 15% | 2.2% | 14 |
Compiled 15 to 11 computations (26.7% saved)
| 1× | intervals |
| 19.0ms | 256× | body | 128 | valid |
| 1.0ms | 12× | body | 128 | invalid |
Compiled 32 to 24 computations (25% 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 |
| ▶ | 9.9b | (/.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 |
| ✓ | 5.4b | (*.f64 y (fma.f64 z z 1)) |
| ✓ | 5.7b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
2 calls:
| 185.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 19.0ms | (*.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:
| 11.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 5.0ms | (*.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 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 7 | 132 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 7 | 133 |
| Status | Error | Program |
| 51.8b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 x)) y) (/.f64 (/.f64 1 (sqrt.f64 x)) (fma.f64 z z 1))) | |
| 9.7b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| ▶ | 8.0b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 9.9b | (/.f64 (/.f64 1 x) (*.f64 (fma.f64 z z 1) y)) | |
| 9.1b | (*.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (fma.f64 z z 1))) | |
| 10.5b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (fma.f64 z z 1)))) | |
| 19.4b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) |
Compiled 2422 to 1384 computations (42.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (/.f64 1 x) y) |
| ✓ | 7.9b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
2 calls:
| 140.0ms | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 14.0ms | (/.f64 (/.f64 1 x) y) |
| 1× | rewrite-expression-head |
| 468× | times-frac_binary64 |
| 228× | *-un-lft-identity_binary64 |
| 228× | add-sqr-sqrt_binary64 |
| 228× | add-cube-cbrt_binary64 |
| 56× | associate-/l*_binary64 |
2 calls:
| 19.0ms | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 8.0ms | (/.f64 (/.f64 1 x) y) |
| 1× | egg-herbie |
| 603× | fma-def_binary64 |
| 536× | times-frac_binary64 |
| 385× | associate-*l*_binary64 |
| 378× | associate-/l/_binary64 |
| 368× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 8112 |
| 1 | 647 | 7481 |
| 2 | 1674 | 7473 |
| 3 | 3964 | 7471 |
| 4 | 4628 | 7471 |
| 5 | 4996 | 7471 |
| 6 | 4952 | 7471 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 8 | 383 |
| Fresh | 5 | 1 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 380 | 10 | 390 |
| Status | Error | Program |
| 34.6b | (/.f64 (sqrt.f64 (/.f64 (/.f64 1 x) y)) (/.f64 (fma.f64 z z 1) (sqrt.f64 (/.f64 (/.f64 1 x) y)))) | |
| 15.4b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| 4.8b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 2.7b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (hypot.f64 1 z))) | |
| 9.7b | (/.f64 1 (*.f64 y (+.f64 (*.f64 (pow.f64 z 2) x) x))) | |
| ✓ | 8.0b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 9.9b | (/.f64 (/.f64 1 x) (*.f64 (fma.f64 z z 1) y)) | |
| 2.8b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) | |
| 33.0b | (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 y x))) (hypot.f64 1 z)) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 y x))) (hypot.f64 1 z))) | |
| ▶ | 2.1b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z))) |
Compiled 9086 to 5372 computations (40.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| ✓ | 0.5b | (cbrt.f64 y) |
| ✓ | 0.6b | (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z)) |
| ✓ | 1.0b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z))) |
4 calls:
| 662.0ms | (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z)) |
| 194.0ms | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z))) |
| 68.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 65.0ms | (cbrt.f64 y) |
| 1× | rewrite-expression-head |
| 1554× | times-frac_binary64 |
| 824× | add-sqr-sqrt_binary64 |
| 692× | *-un-lft-identity_binary64 |
| 676× | add-cube-cbrt_binary64 |
| 304× | cbrt-prod_binary64 |
4 calls:
| 166.0ms | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z))) |
| 39.0ms | (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z)) |
| 7.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 1.0ms | (cbrt.f64 y) |
| 1× | egg-herbie |
| 463× | *-commutative_binary64 |
| 423× | associate-/l*_binary64 |
| 411× | associate-*l*_binary64 |
| 400× | associate-*r*_binary64 |
| 387× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 655 | 31146 |
| 1 | 1819 | 26882 |
| 2 | 4764 | 26880 |
| 3 | 5056 | 26880 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1194 | 3 | 1197 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 1197 | 10 | 1207 |
| Status | Error | Program |
| 34.6b | (/.f64 (sqrt.f64 (/.f64 (/.f64 1 x) y)) (/.f64 (fma.f64 z z 1) (sqrt.f64 (/.f64 (/.f64 1 x) y)))) | |
| 15.4b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| 4.8b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 2.7b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (hypot.f64 1 z))) | |
| ▶ | 1.8b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 1 z))))) |
| ✓ | 8.0b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 9.7b | (/.f64 1 (*.f64 y (fma.f64 (*.f64 z z) x x))) | |
| 2.8b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) | |
| 4.5b | (/.f64 (/.f64 (*.f64 (/.f64 1 y) (/.f64 1 x)) (hypot.f64 1 z)) (hypot.f64 1 z)) | |
| ✓ | 2.1b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (hypot.f64 1 z))) |
Compiled 44819 to 26535 computations (40.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (cbrt.f64 y) | |
| ✓ | 0.5b | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 1.0b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 1 z))))) |
3 calls:
| 225.0ms | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 1 z))))) |
| 64.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 54.0ms | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 2977× | add-exp-log_binary64 |
| 1771× | div-exp_binary64 |
| 1068× | prod-exp_binary64 |
| 383× | add-cbrt-cube_binary64 |
| 261× | cbrt-undiv_binary64 |
3 calls:
| 127.0ms | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 1 z))))) |
| 7.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1× | egg-herbie |
| 638× | associate-*l/_binary64 |
| 576× | associate-*r/_binary64 |
| 538× | associate-/r/_binary64 |
| 418× | associate-*r*_binary64 |
| 352× | log-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 556 | 40299 |
| 1 | 980 | 14626 |
| 2 | 3049 | 12076 |
| 3 | 4267 | 12076 |
| 4 | 5185 | 12076 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 1 | 719 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 720 | 9 | 729 |
| Status | Error | Program |
| 34.6b | (/.f64 (sqrt.f64 (/.f64 (/.f64 1 x) y)) (/.f64 (fma.f64 z z 1) (sqrt.f64 (/.f64 (/.f64 1 x) y)))) | |
| 15.4b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| 4.8b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 2.7b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (hypot.f64 1 z))) | |
| ✓ | 1.8b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 1 z))))) |
| ✓ | 8.0b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 2.8b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) | |
| 4.5b | (/.f64 (/.f64 (*.f64 (/.f64 1 y) (/.f64 1 x)) (hypot.f64 1 z)) (hypot.f64 1 z)) | |
| 4.8b | (/.f64 (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z)) (*.f64 (sqrt.f64 (hypot.f64 1 z)) (sqrt.f64 (hypot.f64 1 z)))) |
Compiled 34821 to 19194 computations (44.9% saved)
Total 2.1b remaining (98.1%)
Threshold costs 0b (0%)
Compiled 22747 to 16159 computations (29% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 44 |
| 1 | 21 | 44 |
| 2 | 20 | 44 |
Compiled 93 to 66 computations (29% saved)
| 1× | intervals |
| 391.0ms | 8000× | body | 128 | valid |
| 21.0ms | 482× | body | 128 | invalid |
Compiled 248 to 183 computations (26.2% saved)
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