Time bar (total: 7.4s)
| 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)
(sort x y)
| 873.0ms | 8256× | body | 128 | valid |
| 52.0ms | 450× | body | 128 | invalid |
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 |
| ▶ | 5.9b | (/.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 |
| ✓ | 3.9b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| ✓ | 4.0b | (*.f64 y (fma.f64 z z 1)) |
2 calls:
| 84.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 9.0ms | (*.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 |
| 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 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 8 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 8 | 123 |
| Status | Error | Program |
| 6.3b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 5.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| 6.0b | (*.f64 (/.f64 1 y) (/.f64 1 (*.f64 (fma.f64 z z 1) x))) | |
| 25.6b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (sqrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 6.4b | (*.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))))) | |
| 18.5b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| 25.4b | (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z 1)) 3))) | |
| ▶ | 5.7b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
Compiled 2376 to 1489 computations (37.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (/.f64 1 (*.f64 y x)) |
| ✓ | 5.3b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
2 calls:
| 129.0ms | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
| 9.0ms | (/.f64 1 (*.f64 y x)) |
| 1× | rewrite-expression-head |
| 36× | times-frac_binary64 |
| 32× | add-exp-log_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-sqr-sqrt_binary64 |
| 20× | add-cube-cbrt_binary64 |
2 calls:
| 5.0ms | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
| 3.0ms | (/.f64 1 (*.f64 y x)) |
| 1× | egg-herbie |
| 519× | fma-def_binary64 |
| 468× | fma-neg_binary64 |
| 445× | times-frac_binary64 |
| 368× | associate-/r*_binary64 |
| 345× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 2243 |
| 1 | 332 | 2008 |
| 2 | 900 | 2006 |
| 3 | 3270 | 2000 |
| 4 | 4421 | 2000 |
| 5 | 4793 | 2000 |
| 6 | 4985 | 2000 |
| 7 | 4929 | 2000 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 4 | 121 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 120 | 9 | 129 |
| Status | Error | Program |
| 6.0b | (*.f64 (/.f64 1 y) (/.f64 1 (*.f64 (fma.f64 z z 1) x))) | |
| 5.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| 25.6b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (sqrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 3.2b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y x))) (cbrt.f64 (/.f64 1 (*.f64 y x)))) (hypot.f64 1 z)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 y x))) (hypot.f64 1 z))) | |
| 6.3b | (/.f64 1 (*.f64 y (fma.f64 (*.f64 z z) x x))) | |
| 5.9b | (/.f64 1 (*.f64 (fma.f64 z z 1) (*.f64 y x))) | |
| 25.4b | (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z 1)) 3))) | |
| ✓ | 5.7b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
| ▶ | 1.7b | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
Compiled 2427 to 1429 computations (41.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.f64 1 y) (hypot.f64 1 z)) |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| ✓ | 1.7b | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
3 calls:
| 326.0ms | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| 50.0ms | (/.f64 (/.f64 1 y) (hypot.f64 1 z)) |
| 43.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 1× | rewrite-expression-head |
| 322× | times-frac_binary64 |
| 221× | add-sqr-sqrt_binary64 |
| 165× | *-un-lft-identity_binary64 |
| 157× | add-cube-cbrt_binary64 |
| 121× | add-exp-log_binary64 |
3 calls:
| 31.0ms | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
| 7.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 4.0ms | (/.f64 (/.f64 1 y) (hypot.f64 1 z)) |
| 1× | egg-herbie |
| 591× | fma-def_binary64 |
| 385× | associate-/r/_binary64 |
| 376× | sub-neg_binary64 |
| 361× | associate-*l/_binary64 |
| 344× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 9105 |
| 1 | 999 | 8238 |
| 2 | 2824 | 8132 |
| 3 | 4195 | 8128 |
| 4 | 5100 | 8128 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 3 | 480 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 481 | 8 | 489 |
| Status | Error | Program |
| 15.7b | (*.f64 (/.f64 (sqrt.f64 (/.f64 1 y)) 1) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 y)) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) | |
| 25.4b | (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z 1)) 3))) | |
| 6.0b | (*.f64 (/.f64 1 y) (/.f64 1 (*.f64 (fma.f64 z z 1) x))) | |
| 3.2b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y x))) (cbrt.f64 (/.f64 1 (*.f64 y x)))) (hypot.f64 1 z)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 y x))) (hypot.f64 1 z))) | |
| 2.3b | (*.f64 (/.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 1 x) (sqrt.f64 (hypot.f64 1 z)))) | |
| ▶ | 1.3b | (/.f64 (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) (hypot.f64 1 z)) |
| ✓ | 5.7b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
| ✓ | 1.7b | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
Compiled 12841 to 9286 computations (27.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.1b | (/.f64 (/.f64 1 y) (hypot.f64 1 z)) | |
| ✓ | 0.5b | (/.f64 (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) (hypot.f64 1 z)) |
| ✓ | 3.7b | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) |
2 calls:
| 106.0ms | (/.f64 (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) (hypot.f64 1 z)) |
| 105.0ms | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) |
| 1× | rewrite-expression-head |
| 154× | add-exp-log_binary64 |
| 101× | times-frac_binary64 |
| 89× | div-exp_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 53× | *-un-lft-identity_binary64 |
2 calls:
| 14.0ms | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) |
| 11.0ms | (/.f64 (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) (hypot.f64 1 z)) |
| 1× | egg-herbie |
| 583× | fma-neg_binary64 |
| 488× | associate-/r/_binary64 |
| 378× | *-commutative_binary64 |
| 376× | sub-neg_binary64 |
| 280× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 5200 |
| 1 | 736 | 4438 |
| 2 | 2219 | 4347 |
| 3 | 3881 | 4317 |
| 4 | 4694 | 4317 |
| 5 | 4954 | 4317 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 394 | 0 | 394 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 394 | 8 | 402 |
| Status | Error | Program |
| 15.7b | (*.f64 (/.f64 (sqrt.f64 (/.f64 1 y)) 1) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 y)) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z)))) | |
| 25.4b | (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z 1)) 3))) | |
| 6.0b | (*.f64 (/.f64 1 y) (/.f64 1 (*.f64 (fma.f64 z z 1) x))) | |
| 3.2b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y x))) (cbrt.f64 (/.f64 1 (*.f64 y x)))) (hypot.f64 1 z)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 y x))) (hypot.f64 1 z))) | |
| 2.3b | (*.f64 (/.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 1 x) (sqrt.f64 (hypot.f64 1 z)))) | |
| ✓ | 1.3b | (/.f64 (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 1 x)) (hypot.f64 1 z)) |
| ✓ | 5.7b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) |
| ✓ | 1.7b | (*.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) (/.f64 (/.f64 1 x) (hypot.f64 1 z))) |
Compiled 9886 to 7022 computations (29% saved)
Total 1.4b remaining (96%)
Threshold costs 0b (0%)
Compiled 36190 to 26940 computations (25.6% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 14 | 19 |
| 2 | 13 | 19 |
(sort x y)
Compiled 225 to 169 computations (24.9% saved)
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