Time bar (total: 12.6s)
| 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)
| 1.6s | 8256× | body | 128 | valid |
| 1.0ms | 8× | body | 128 | invalid |
Compiled 122 to 89 computations (27% 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 |
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 |
| ▶ | 25.9b | (/.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)) |
Compiled 136 to 92 computations (32.4% 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) |
| ✓ | 25.0b | (/.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)) |
4 calls:
| 589.0ms | (/.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)) |
| 12.0ms | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| 4.0ms | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) |
| 2.0ms | (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) |
| 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:
| 6.0ms | (/.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 104109730557/25000000000 393497462077/5000000000) |
| 0.0ms | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| 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 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 8 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 118 | 8 | 126 |
| Status | Error | Program |
| 35.2b | (-.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)))) | |
| 25.9b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 3)) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| ▶ | 23.5b | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 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)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 23.9b | (*.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 (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)))) | |
| 24.3b | (*.f64 (/.f64 (-.f64 x 2) (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (cbrt.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) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) | |
| 25.9b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (+.f64 (fma.f64 (*.f64 x x) 393497462077/5000000000 (fma.f64 x 4297481763/31250000 (*.f64 (pow.f64 x 3) 104109730557/25000000000))) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| 24.1b | (*.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)))) |
Compiled 5655 to 3814 computations (32.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) | |
| ✓ | 0.2b | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) | |
| ✓ | 22.6b | (/.f64 (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)) |
2 calls:
| 623.0ms | (/.f64 (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)) |
| 485.0ms | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 1× | rewrite-expression-head |
| 128× | times-frac_binary64 |
| 94× | *-un-lft-identity_binary64 |
| 94× | add-sqr-sqrt_binary64 |
| 66× | add-cube-cbrt_binary64 |
| 16× | associate-/r*_binary64 |
2 calls:
| 8.0ms | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 2.0ms | (/.f64 (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)) |
| 1× | egg-herbie |
| 368× | +-commutative_binary64 |
| 326× | fma-def_binary64 |
| 325× | associate-+r+_binary64 |
| 254× | *-commutative_binary64 |
| 180× | associate-*r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1167 | 26571 |
| 1 | 3852 | 26172 |
| 2 | 4944 | 26172 |
| 3 | 4999 | 26172 |
| 4 | 4933 | 26172 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 3 | 270 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 271 | 7 | 278 |
| Status | Error | Program |
| 35.2b | (-.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)))) | |
| 25.9b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 3)) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| ✓ | 23.5b | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 55.7b | (/.f64 (-.f64 x 2) (-.f64 (+.f64 (/.f64 23533438303/500000000 (*.f64 x y)) (+.f64 (/.f64 (pow.f64 x 3) y) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 x x) y) (+.f64 (/.f64 156699607947/500000000 y) (*.f64 263505074721/1000000000 (/.f64 x y)))))) (fma.f64 700073094086134509125103/25000000000000000000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 117006541433613341025091/2500000000000000000 (/.f64 x (*.f64 y y)) (fma.f64 32398016335590136880149/125000000000000000000 (/.f64 (pow.f64 x 5) (*.f64 y y)) (fma.f64 381858925663706020101783/6250000000000000000 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 z x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) (fma.f64 58071166100846146275193/12500000000000000000 (/.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 23533438303/500000000 (/.f64 z (*.f64 (*.f64 x y) (*.f64 x y))) (fma.f64 156699607947/500000000 (/.f64 z (*.f64 x (*.f64 y y))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 6) (*.f64 y y)) (fma.f64 263505074721/1000000000 (/.f64 z (*.f64 y y)) (/.f64 101134521927828168189/15625000000000000 (*.f64 y y))))))))))))))) | |
| ▶ | 23.5b | (*.f64 (-.f64 x 2) (*.f64 (/.f64 1 (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))) |
| 23.9b | (*.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 (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)))) | |
| 37.0b | (/.f64 (-.f64 x 2) 25000000000/104109730557) |
Compiled 23988 to 16323 computations (32% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 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) | |
| ✓ | 0.3b | (*.f64 (-.f64 x 2) (*.f64 (/.f64 1 (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))) |
| ✓ | 22.7b | (*.f64 (/.f64 1 (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)) |
2 calls:
| 484.0ms | (*.f64 (-.f64 x 2) (*.f64 (/.f64 1 (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))) |
| 359.0ms | (*.f64 (/.f64 1 (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)) |
| 1× | rewrite-expression-head |
| 26× | add-exp-log_binary64 |
| 20× | add-sqr-sqrt_binary64 |
| 18× | associate-*l*_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 14× | *-un-lft-identity_binary64 |
2 calls:
| 8.0ms | (*.f64 (-.f64 x 2) (*.f64 (/.f64 1 (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))) |
| 5.0ms | (*.f64 (/.f64 1 (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)) |
| 1× | egg-herbie |
| 723× | distribute-rgt-in_binary64 |
| 303× | cancel-sign-sub-inv_binary64 |
| 235× | fma-def_binary64 |
| 229× | associate-*r*_binary64 |
| 180× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 13059 |
| 1 | 835 | 12435 |
| 2 | 2800 | 12395 |
| 3 | 5343 | 12395 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 1 | 203 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 203 | 7 | 210 |
| Status | Error | Program |
| 35.2b | (-.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)))) | |
| ✓ | 23.5b | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 25.9b | (/.f64 (*.f64 (-.f64 x 2) (*.f64 1 (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)) | |
| 55.7b | (/.f64 (-.f64 x 2) (-.f64 (+.f64 (/.f64 23533438303/500000000 (*.f64 x y)) (+.f64 (/.f64 (pow.f64 x 3) y) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 x x) y) (+.f64 (/.f64 156699607947/500000000 y) (*.f64 263505074721/1000000000 (/.f64 x y)))))) (fma.f64 700073094086134509125103/25000000000000000000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 117006541433613341025091/2500000000000000000 (/.f64 x (*.f64 y y)) (fma.f64 32398016335590136880149/125000000000000000000 (/.f64 (pow.f64 x 5) (*.f64 y y)) (fma.f64 381858925663706020101783/6250000000000000000 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 z x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) (fma.f64 58071166100846146275193/12500000000000000000 (/.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 23533438303/500000000 (/.f64 z (*.f64 (*.f64 x y) (*.f64 x y))) (fma.f64 156699607947/500000000 (/.f64 z (*.f64 x (*.f64 y y))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 6) (*.f64 y y)) (fma.f64 263505074721/1000000000 (/.f64 z (*.f64 y y)) (/.f64 101134521927828168189/15625000000000000 (*.f64 y y))))))))))))))) | |
| ✓ | 23.5b | (*.f64 (-.f64 x 2) (*.f64 (/.f64 1 (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))) |
| ▶ | 23.9b | (*.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 (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)))) |
| 37.0b | (/.f64 (-.f64 x 2) 25000000000/104109730557) |
Compiled 9416 to 6406 computations (32% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 9.1b | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| ✓ | 11.5b | (/.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))) |
| ✓ | 11.7b | (*.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)))) |
| ✓ | 20.2b | (/.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:
| 455.0ms | (*.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)))) |
| 368.0ms | (/.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 | (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))) |
| 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:
| 19.0ms | (*.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)))) |
| 6.0ms | (/.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 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 0 | 350 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 350 | 7 | 357 |
| Status | Error | Program |
| 35.2b | (-.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)))) | |
| ✓ | 23.5b | (/.f64 (-.f64 x 2) (/.f64 (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))) |
| 25.9b | (/.f64 (*.f64 (-.f64 x 2) (*.f64 1 (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)) | |
| 55.7b | (/.f64 (-.f64 x 2) (-.f64 (+.f64 (/.f64 23533438303/500000000 (*.f64 x y)) (+.f64 (/.f64 (pow.f64 x 3) y) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 x x) y) (+.f64 (/.f64 156699607947/500000000 y) (*.f64 263505074721/1000000000 (/.f64 x y)))))) (fma.f64 700073094086134509125103/25000000000000000000 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 117006541433613341025091/2500000000000000000 (/.f64 x (*.f64 y y)) (fma.f64 32398016335590136880149/125000000000000000000 (/.f64 (pow.f64 x 5) (*.f64 y y)) (fma.f64 381858925663706020101783/6250000000000000000 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 z x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) (fma.f64 58071166100846146275193/12500000000000000000 (/.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 23533438303/500000000 (/.f64 z (*.f64 (*.f64 x y) (*.f64 x y))) (fma.f64 156699607947/500000000 (/.f64 z (*.f64 x (*.f64 y y))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 6) (*.f64 y y)) (fma.f64 263505074721/1000000000 (/.f64 z (*.f64 y y)) (/.f64 101134521927828168189/15625000000000000 (*.f64 y y))))))))))))))) | |
| ✓ | 23.5b | (*.f64 (-.f64 x 2) (*.f64 (/.f64 1 (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))) |
| ✓ | 23.9b | (*.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 (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)))) |
| 37.0b | (/.f64 (-.f64 x 2) 25000000000/104109730557) |
Compiled 21981 to 15213 computations (30.8% saved)
Total 0.7b remaining (85.8%)
Threshold costs 0.7b (85.8%)
Compiled 31928 to 22300 computations (30.2% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 3 | 3.520525441071215e+48 | 4.4920912208724835e+48 | 4.3099226371597455e+48 |
| 8 | -2.3987273505111033e+76 | -4.890025300665085e+72 | -1.6701017375578257e+76 |
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 | 45 | 89 |
| 1 | 56 | 89 |
| 2 | 66 | 89 |
| 3 | 74 | 89 |
| 4 | 77 | 89 |
| 5 | 78 | 89 |
| 6 | 74 | 89 |
Compiled 453 to 285 computations (37.1% saved)
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