Time bar (total: 25.7s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 74.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 37.4% | 62.4% | 0.1% | 8 |
| 37.4% | 62.4% | 0.1% | 9 |
| 37.4% | 62.4% | 0.1% | 10 |
| 43.7% | 56.2% | 0.1% | 11 |
| 43.7% | 56.2% | 0.1% | 12 |
| 43.7% | 56.2% | 0.1% | 13 |
| 61.7% | 38.2% | 0.1% | 14 |
Compiled 41 to 30 computations (26.8% saved)
| 1× | intervals |
| 28.0ms | 256× | body | 128 | valid |
Compiled 84 to 62 computations (26.2% saved)
| 1× | egg-herbie |
| 753× | associate-+l+_binary64 |
| 706× | distribute-rgt-in_binary64 |
| 700× | distribute-lft-in_binary64 |
| 667× | associate-+r+_binary64 |
| 226× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 41 |
| 1 | 64 | 41 |
| 2 | 154 | 41 |
| 3 | 357 | 41 |
| 4 | 1157 | 41 |
| 5 | 4876 | 41 |
| 6 | 4976 | 41 |
| 7 | 4992 | 41 |
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 |
| ▶ | 26.0b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 26.0b | (/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) |
Compiled 216 to 150 computations (30.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) |
| ✓ | 0.1b | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| ✓ | 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) |
| ✓ | 25.2b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
4 calls:
| 434.0ms | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 11.0ms | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| 2.0ms | (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) |
| 2.0ms | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) |
| 1× | rewrite-expression-head |
| 9× | add-cbrt-cube_binary64 |
| 9× | add-exp-log_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 6× | add-cube-cbrt_binary64 |
4 calls:
| 5.0ms | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 0.0ms | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| 0.0ms | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) |
| 0.0ms | (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) |
| 1× | egg-herbie |
| 899× | fma-def_binary64 |
| 565× | distribute-rgt-in_binary64 |
| 296× | times-frac_binary64 |
| 211× | fma-neg_binary64 |
| 146× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 8000 |
| 1 | 613 | 7637 |
| 2 | 2009 | 7248 |
| 3 | 4990 | 7248 |
| 4 | 5032 | 7248 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 9 | 125 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 118 | 9 | 127 |
| Status | Error | Program |
| 38.0b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| ▶ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 34.8b | (-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x)))) | |
| 34.6b | (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x 393497462077/5000000000 4297481763/31250000)) (fma.f64 104109730557/25000000000 (pow.f64 x 4) z)) (-.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) | |
| 25.4b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) | |
| 45.5b | (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) 3)) | |
| 27.0b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 2 2)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x 2))) | |
| 26.2b | (*.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 25.8b | (-.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 (*.f64 x (*.f64 x y)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))))) (fma.f64 2 (fma.f64 (/.f64 y (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (*.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))))) |
Compiled 6045 to 4078 computations (32.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 8.0b | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| ✓ | 14.6b | (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
| ✓ | 14.7b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| ✓ | 21.0b | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
4 calls:
| 456.0ms | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 325.0ms | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
| 7.0ms | (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
| 5.0ms | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 1× | rewrite-expression-head |
| 126× | add-sqr-sqrt_binary64 |
| 108× | times-frac_binary64 |
| 95× | *-un-lft-identity_binary64 |
| 69× | add-cube-cbrt_binary64 |
| 63× | sqrt-prod_binary64 |
4 calls:
| 20.0ms | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 5.0ms | (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
| 3.0ms | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
| 1.0ms | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 1× | egg-herbie |
| 342× | fma-def_binary64 |
| 223× | associate-/l*_binary64 |
| 206× | associate-*r/_binary64 |
| 201× | associate-*l/_binary64 |
| 198× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 497 | 22462 |
| 1 | 1434 | 20376 |
| 2 | 4802 | 20372 |
| 3 | 4940 | 20372 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 347 | 3 | 350 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 349 | 10 | 359 |
| Status | Error | Program |
| 38.0b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| ✓ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 34.8b | (-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x)))) | |
| 27.0b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 2 2)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x 2))) | |
| 41.4b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 34.6b | (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x 393497462077/5000000000 4297481763/31250000)) (fma.f64 104109730557/25000000000 (pow.f64 x 4) z)) (-.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) | |
| ▶ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 393497462077/5000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 4297481763/31250000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2))) (*.f64 104109730557/25000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)))))))) |
| 57.9b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (-.f64 (+.f64 (fma.f64 (*.f64 x x) 104109730557/25000000000 4083796082204816104901602479511879/5000000000000000000000000000000) (/.f64 y x)) (fma.f64 x 2885706679815136880149/250000000000000000000 (/.f64 288398698881886821422860609529768900388407301/10000000000000000000000000000000000000000 x)))) | |
| 26.2b | (*.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 25.8b | (-.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 (*.f64 x (*.f64 x y)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))))) (fma.f64 2 (fma.f64 (/.f64 y (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (*.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))))) |
Compiled 23022 to 15989 computations (30.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 14.7b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 393497462077/5000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 4297481763/31250000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2))) (*.f64 104109730557/25000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)))))))) |
| ✓ | 15.2b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2)) |
| ✓ | 20.1b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)) |
| ✓ | 21.4b | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3)) |
4 calls:
| 2.0s | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 393497462077/5000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 4297481763/31250000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2))) (*.f64 104109730557/25000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)))))))) |
| 7.0ms | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2)) |
| 7.0ms | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3)) |
| 7.0ms | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)) |
| 1× | rewrite-expression-head |
| 162× | add-sqr-sqrt_binary64 |
| 127× | *-un-lft-identity_binary64 |
| 112× | sqrt-prod_binary64 |
| 106× | associate-*l*_binary64 |
| 99× | times-frac_binary64 |
4 calls:
| 85.0ms | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 393497462077/5000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 4297481763/31250000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2))) (*.f64 104109730557/25000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)))))))) |
| 23.0ms | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3)) |
| 22.0ms | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2)) |
| 21.0ms | (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)) |
| 1× | egg-herbie |
| 665× | fma-def_binary64 |
| 563× | distribute-rgt-in_binary64 |
| 268× | *-commutative_binary64 |
| 142× | fma-neg_binary64 |
| 132× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 642 | 42906 |
| 1 | 2248 | 34490 |
| 2 | 4866 | 34387 |
| 3 | 4935 | 34387 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 0 | 438 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 438 | 10 | 448 |
| Status | Error | Program |
| 38.0b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| ✓ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 34.8b | (-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x)))) | |
| 27.0b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 2 2)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x 2))) | |
| 41.4b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 34.6b | (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x 393497462077/5000000000 4297481763/31250000)) (fma.f64 104109730557/25000000000 (pow.f64 x 4) z)) (-.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) | |
| ✓ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 393497462077/5000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 4297481763/31250000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2))) (*.f64 104109730557/25000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)))))))) |
| 57.9b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (-.f64 (+.f64 (fma.f64 (*.f64 x x) 104109730557/25000000000 4083796082204816104901602479511879/5000000000000000000000000000000) (/.f64 y x)) (fma.f64 x 2885706679815136880149/250000000000000000000 (/.f64 288398698881886821422860609529768900388407301/10000000000000000000000000000000000000000 x)))) | |
| 26.2b | (*.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| ▶ | 25.8b | (-.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 (*.f64 x (*.f64 x y)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))))) (fma.f64 2 (fma.f64 (/.f64 y (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (*.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))))) |
Compiled 93247 to 74045 computations (20.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 23.4b | (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| ✓ | 23.4b | (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| ✓ | 23.7b | (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| ✓ | 24.9b | (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
4 calls:
| 4.0ms | (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 4.0ms | (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 3.0ms | (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 3.0ms | (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 1× | rewrite-expression-head |
| 232× | *-un-lft-identity_binary64 |
| 135× | times-frac_binary64 |
| 93× | distribute-lft-out_binary64 |
| 77× | add-sqr-sqrt_binary64 |
| 77× | add-cube-cbrt_binary64 |
4 calls:
| 11.0ms | (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 8.0ms | (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 8.0ms | (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 7.0ms | (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) |
| 1× | egg-herbie |
| 604× | fma-neg_binary64 |
| 517× | unswap-sqr_binary64 |
| 278× | log-prod_binary64 |
| 236× | associate-/l*_binary64 |
| 154× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 12877 |
| 1 | 757 | 11251 |
| 2 | 2842 | 11128 |
| 3 | 4599 | 11128 |
| 4 | 5174 | 11128 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 1 | 357 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 358 | 9 | 367 |
| Status | Error | Program |
| ✓ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 25.8b | (-.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) (fma.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 (*.f64 x (*.f64 x y)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))))) (fma.f64 2 (fma.f64 (/.f64 y (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) x (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 x (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (*.f64 x (+.f64 156699607947/500000000 (*.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))) x)) (*.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))))) | |
| 34.8b | (-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x)))) | |
| 27.0b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 2 2)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x 2))) | |
| 41.4b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 34.6b | (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x 393497462077/5000000000 4297481763/31250000)) (fma.f64 104109730557/25000000000 (pow.f64 x 4) z)) (-.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 (*.f64 x x) (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))) | |
| ✓ | 25.1b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))) (+.f64 (*.f64 393497462077/5000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 4297481763/31250000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 2))) (*.f64 104109730557/25000000000 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x))))))) (pow.f64 x 4)))))))) |
| 57.9b | (*.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (-.f64 (+.f64 (fma.f64 (*.f64 x x) 104109730557/25000000000 4083796082204816104901602479511879/5000000000000000000000000000000) (/.f64 y x)) (fma.f64 x 2885706679815136880149/250000000000000000000 (/.f64 288398698881886821422860609529768900388407301/10000000000000000000000000000000000000000 x)))) | |
| 26.2b | (*.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
Compiled 72358 to 48256 computations (33.3% saved)
Total 0.8b remaining (75.7%)
Threshold costs 0.8b (75.7%)
Compiled 136336 to 99424 computations (27.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 7.197147841774278e+28 | 1.2383321790484476e+32 | 1.221362224894815e+32 |
| 2 | -1.659261859578525e+77 | -5.141732260381411e+70 | -2.2175661204628907e+72 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 2× | distribute-neg-in_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 84 |
| 1 | 53 | 84 |
| 2 | 64 | 84 |
| 3 | 72 | 84 |
| 4 | 75 | 84 |
| 5 | 76 | 84 |
| 6 | 73 | 84 |
Compiled 62 to 41 computations (33.9% saved)
| 1× | intervals |
| 808.0ms | 8000× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 753 to 541 computations (28.2% saved)
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