Time bar (total: 7.1s)
| 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 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 18.7% | 81.1% | 0.1% | 9 |
| 42.1% | 57.7% | 0.1% | 10 |
| 49.1% | 50.7% | 0.1% | 11 |
| 49.1% | 50.7% | 0.1% | 12 |
| 66.9% | 33% | 0.1% | 13 |
| 71.7% | 28.2% | 0.1% | 14 |
Compiled 25 to 19 computations (24% saved)
| 1.1s | 8256× | body | 128 | valid |
Compiled 74 to 56 computations (24.3% saved)
| 1× | egg-herbie |
| 722× | fma-def_binary64 |
| 94× | distribute-rgt-out_binary64 |
| 88× | associate-/l*_binary64 |
| 66× | associate-*l*_binary64 |
| 65× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 25 |
| 1 | 39 | 25 |
| 2 | 71 | 23 |
| 3 | 134 | 23 |
| 4 | 247 | 23 |
| 5 | 389 | 23 |
| 6 | 567 | 23 |
| 7 | 670 | 23 |
| 8 | 831 | 23 |
| 9 | 914 | 23 |
| 10 | 974 | 23 |
| 11 | 975 | 23 |
| 12 | 972 | 23 |
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 |
| ▶ | 13.2b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 18.0b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
Compiled 129 to 93 computations (27.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| ✓ | 0.2b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| ✓ | 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
| ✓ | 12.7b | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
4 calls:
| 91.0ms | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 3.0ms | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 3.0ms | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
| 2.0ms | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| 1× | rewrite-expression-head |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 6× | add-cbrt-cube_binary64 |
4 calls:
| 2.0ms | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 0.0ms | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 0.0ms | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
| 0.0ms | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| 1× | egg-herbie |
| 701× | fma-neg_binary64 |
| 357× | associate-/l*_binary64 |
| 357× | times-frac_binary64 |
| 331× | fma-def_binary64 |
| 198× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 3421 |
| 1 | 401 | 2901 |
| 2 | 1026 | 2870 |
| 3 | 2987 | 2573 |
| 4 | 4986 | 2571 |
| 5 | 5278 | 2571 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 7 | 117 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 7 | 119 |
| Status | Error | Program |
| 44.3b | (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3)) | |
| 13.9b | (+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) | |
| ▶ | 13.2b | (fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x) |
| 38.3b | (*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| 14.1b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| 13.5b | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) | |
| 25.2b | (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
Compiled 3005 to 2085 computations (30.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x) |
| 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) | |
| ✓ | 0.4b | (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
| 12.7b | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
2 calls:
| 96.0ms | (fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x) |
| 3.0ms | (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
| 1× | rewrite-expression-head |
| 2× | *-un-lft-identity_binary64 |
| 2× | add-sqr-sqrt_binary64 |
| 2× | add-cube-cbrt_binary64 |
| 2× | add-cbrt-cube_binary64 |
| 2× | add-exp-log_binary64 |
2 calls:
| 0.0ms | (fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x) |
| 0.0ms | (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
| 1× | egg-herbie |
| 827× | fma-neg_binary64 |
| 610× | cancel-sign-sub-inv_binary64 |
| 568× | associate-*l*_binary64 |
| 290× | fma-def_binary64 |
| 193× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 2358 |
| 1 | 302 | 1953 |
| 2 | 758 | 1922 |
| 3 | 2058 | 1625 |
| 4 | 4659 | 1623 |
| 5 | 5116 | 1623 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 2 | 135 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 8 | 142 |
| Status | Error | Program |
| 44.3b | (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3)) | |
| 13.9b | (+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) | |
| 13.7b | (fma.f64 y (expm1.f64 (log1p.f64 279195317918525/3350343815022304)) x) | |
| 38.3b | (*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| 14.1b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| ▶ | 13.5b | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 15.6b | (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x) | |
| 25.2b | (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
Compiled 3599 to 2560 computations (28.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) | |
| ✓ | 0.7b | (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
| ✓ | 12.6b | (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| ✓ | 12.7b | (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
3 calls:
| 8.0ms | (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 3.0ms | (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 3.0ms | (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
| 1× | rewrite-expression-head |
| 31× | add-sqr-sqrt_binary64 |
| 21× | sqrt-prod_binary64 |
| 19× | pow1_binary64 |
| 14× | *-un-lft-identity_binary64 |
| 14× | add-cube-cbrt_binary64 |
3 calls:
| 9.0ms | (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 5.0ms | (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
| 1.0ms | (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 1× | egg-herbie |
| 782× | fma-def_binary64 |
| 657× | times-frac_binary64 |
| 485× | associate-/l*_binary64 |
| 212× | associate-/l/_binary64 |
| 195× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 2467 |
| 1 | 440 | 2102 |
| 2 | 1496 | 2017 |
| 3 | 4577 | 2011 |
| 4 | 5103 | 2011 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 1 | 228 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 227 | 9 | 236 |
| Status | Error | Program |
| 13.7b | (fma.f64 y (expm1.f64 (log1p.f64 279195317918525/3350343815022304)) x) | |
| ▶ | 13.5b | (fma.f64 y (/.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 44.3b | (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3)) | |
| 13.9b | (+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) | |
| 38.3b | (*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| 14.1b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| ✓ | 13.5b | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 15.6b | (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x) | |
| 25.2b | (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
Compiled 7950 to 5893 computations (25.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
| ✓ | 0.7b | (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) |
| 12.6b | (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) | |
| ✓ | 12.7b | (/.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
3 calls:
| 8.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
| 4.0ms | (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) |
| 3.0ms | (/.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 1× | rewrite-expression-head |
| 480× | sqrt-pow1_binary64 |
| 361× | pow1_binary64 |
| 253× | pow-prod-up_binary64 |
| 240× | pow1/2_binary64 |
| 191× | add-sqr-sqrt_binary64 |
3 calls:
| 42.0ms | (/.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 35.0ms | (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) |
| 9.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
| 1× | egg-herbie |
| 566× | associate-/r*_binary64 |
| 404× | associate-/l/_binary64 |
| 289× | associate-/r/_binary64 |
| 288× | fma-def_binary64 |
| 240× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 4280 |
| 1 | 502 | 3546 |
| 2 | 1830 | 3376 |
| 3 | 5081 | 3376 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 0 | 599 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 599 | 9 | 608 |
| Status | Error | Program |
| 13.7b | (fma.f64 y (expm1.f64 (log1p.f64 279195317918525/3350343815022304)) x) | |
| ✓ | 13.5b | (fma.f64 y (/.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 44.3b | (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3)) | |
| 13.9b | (+.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) | |
| 38.3b | (*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| 14.1b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))) | |
| ✓ | 13.5b | (fma.f64 y (/.f64 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 15.6b | (fma.f64 y (expm1.f64 (log1p.f64 692910599291889/10000000000000000)) x) | |
| 25.2b | (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
Compiled 29813 to 23170 computations (22.3% saved)
Total 0.2b remaining (68.6%)
Threshold costs 0.2b (68.6%)
Compiled 21953 to 16548 computations (24.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 2 | 82.44258435711112 | 1044022.0242420716 | 102598.36636811464 |
| 6 | -4816162.349102043 | -34.11715061466793 | -300061.8228383657 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 111 |
| 1 | 44 | 111 |
| 2 | 52 | 111 |
| 3 | 54 | 111 |
| 4 | 55 | 111 |
| 5 | 54 | 111 |
Compiled 421 to 303 computations (28% saved)
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