Time bar (total: 23.7s)
| 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)
| 1.4s | 8256× | body | 128 | valid |
| 2.0ms | 11× | 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 |
| ▶ | 26.6b | (/.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) |
| ✓ | 25.8b | (/.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:
| 401.0ms | (/.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) |
| 3.0ms | (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 104109730557/25000000000 393497462077/5000000000) |
| 0.0ms | (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) |
| 0.0ms | (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| 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 (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 7 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 118 | 8 | 126 |
| Status | Error | Program |
| 27.0b | (/.f64 (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (expm1.f64 (log1p.f64 (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)) | |
| 25.9b | (*.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)))) | |
| 32.6b | (-.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)))) | |
| ▶ | 25.2b | (/.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))) |
| ✓ | 26.6b | (/.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)) |
| 32.4b | (-.f64 (*.f64 168466327098500000000/553822718361107519809 (*.f64 x (fma.f64 x y z))) (fma.f64 x (*.f64 1000000000/23533438303 y) (fma.f64 z 1000000000/23533438303 (*.f64 (*.f64 x x) (+.f64 137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))) | |
| 44.8b | (cbrt.f64 (*.f64 (*.f64 (/.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)) (/.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))) (/.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)))) | |
| 26.6b | (-.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 5878 to 3960 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) | |
| ✓ | 0.3b | (/.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) | |
| ✓ | 24.3b | (/.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:
| 729.0ms | (/.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)) |
| 413.0ms | (/.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:
| 7.0ms | (/.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 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 3 | 270 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 272 | 6 | 278 |
| Status | Error | Program |
| 34.1b | (/.f64 (-.f64 x 2) 25000000000/104109730557) | |
| 25.3b | (/.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) | |
| 32.6b | (-.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 x 2) (fma.f64 x (fma.f64 x (expm1.f64 (log1p.f64 (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)) | |
| ▶ | 25.2b | (/.f64 1 (/.f64 (/.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)) (-.f64 x 2))) |
| 26.6b | (-.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 24029 to 16395 computations (31.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.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)) (-.f64 x 2)) |
| 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 (/.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)) (-.f64 x 2))) |
| 24.3b | (/.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:
| 1.3s | (/.f64 (/.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)) (-.f64 x 2)) |
| 444.0ms | (/.f64 1 (/.f64 (/.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)) (-.f64 x 2))) |
| 1× | rewrite-expression-head |
| 772× | times-frac_binary64 |
| 458× | *-un-lft-identity_binary64 |
| 458× | add-sqr-sqrt_binary64 |
| 326× | add-cube-cbrt_binary64 |
| 76× | associate-/r*_binary64 |
2 calls:
| 13.0ms | (/.f64 1 (/.f64 (/.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)) (-.f64 x 2))) |
| 9.0ms | (/.f64 (/.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)) (-.f64 x 2)) |
| 1× | egg-herbie |
| 445× | associate-+r+_binary64 |
| 440× | fma-def_binary64 |
| 355× | *-commutative_binary64 |
| 253× | associate-/r*_binary64 |
| 242× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1618 | 57788 |
| 1 | 5143 | 57788 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 609 | 2 | 611 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 609 | 8 | 617 |
| Status | Error | Program |
| 34.1b | (/.f64 (-.f64 x 2) 25000000000/104109730557) | |
| ▶ | 25.3b | (/.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) |
| 26.6b | (-.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))))))))))) | |
| 34.5b | (/.f64 1 (+.f64 (*.f64 25000000000/104109730557 (/.f64 1 x)) (*.f64 68821202686550684400745/10838835996651139530249 (/.f64 1 (pow.f64 x 2))))) | |
| 32.6b | (-.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 x 2) (fma.f64 x (fma.f64 x (expm1.f64 (log1p.f64 (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)) | |
| ✓ | 25.2b | (/.f64 1 (/.f64 (/.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)) (-.f64 x 2))) |
| 34.4b | (/.f64 1 (+.f64 (/.f64 25000000000/104109730557 x) (/.f64 68821202686550684400745/10838835996651139530249 (*.f64 x x)))) |
Compiled 66714 to 46927 computations (29.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 1 (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) | |
| ✓ | 2.9b | (/.f64 (-.f64 x 2) (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) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) |
3 calls:
| 443.0ms | (/.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) |
| 145.0ms | (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) |
| 3.0ms | (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 1× | rewrite-expression-head |
| 661× | times-frac_binary64 |
| 379× | *-un-lft-identity_binary64 |
| 379× | add-sqr-sqrt_binary64 |
| 287× | add-cube-cbrt_binary64 |
| 46× | distribute-lft-out--_binary64 |
3 calls:
| 13.0ms | (/.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) |
| 4.0ms | (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 2.0ms | (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) |
| 1× | egg-herbie |
| 474× | fma-def_binary64 |
| 336× | associate-/l/_binary64 |
| 323× | times-frac_binary64 |
| 290× | associate-/l*_binary64 |
| 219× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 763 | 37744 |
| 1 | 2244 | 36663 |
| 2 | 5027 | 36663 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 0 | 510 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 510 | 8 | 518 |
| Status | Error | Program |
| 34.1b | (/.f64 (-.f64 x 2) 25000000000/104109730557) | |
| ✓ | 25.3b | (/.f64 (/.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) |
| 26.6b | (-.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))))))))))) | |
| 34.5b | (/.f64 1 (+.f64 (*.f64 25000000000/104109730557 (/.f64 1 x)) (*.f64 68821202686550684400745/10838835996651139530249 (/.f64 1 (pow.f64 x 2))))) | |
| 32.6b | (-.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 x 2) (fma.f64 x (fma.f64 x (expm1.f64 (log1p.f64 (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)) | |
| ✓ | 25.2b | (/.f64 1 (/.f64 (/.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)) (-.f64 x 2))) |
| 34.4b | (/.f64 1 (+.f64 (/.f64 25000000000/104109730557 x) (/.f64 68821202686550684400745/10838835996651139530249 (*.f64 x x)))) |
Compiled 32153 to 22115 computations (31.2% saved)
Total 0.9b remaining (91.3%)
Threshold costs 0.9b (91.3%)
Compiled 126520 to 88784 computations (29.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.5844434011615027e+46 | 5.614014508114422e+48 | 1.831822134056141e+46 |
| 9 | -6.853139343817421e+30 | -8.835891736263801e+23 | -2.3500633165053784e+30 |
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 | 111 |
| 1 | 50 | 111 |
| 2 | 61 | 111 |
| 3 | 69 | 111 |
| 4 | 72 | 111 |
| 5 | 73 | 111 |
| 6 | 70 | 111 |
Compiled 520 to 350 computations (32.7% saved)
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