Time bar (total: 6.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 6.2% | 93.6% | 0.1% | 7 |
| 9.4% | 90.5% | 0.1% | 8 |
| 14% | 85.8% | 0.1% | 9 |
| 21.1% | 78.8% | 0.1% | 10 |
| 24.6% | 75.3% | 0.1% | 11 |
| 28.7% | 71.2% | 0.1% | 12 |
| 33.4% | 66.4% | 0.1% | 13 |
| 47.8% | 52.1% | 0.1% | 14 |
Compiled 41 to 30 computations (26.8% saved)
| 1.7s | 8256× | body | 128 | valid |
| 1.0ms | 3× | body | 128 | invalid |
| 2× | egg-herbie |
| 803× | fma-def_binary64 |
| 686× | distribute-rgt-in_binary64 |
| 682× | distribute-lft-in_binary64 |
| 346× | associate-+r+_binary64 |
| 346× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 164 |
| 1 | 183 | 164 |
| 2 | 492 | 164 |
| 3 | 1779 | 164 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.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)) |
(/.f64 (*.f64 (-.f64 y 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 y 104109730557/25000000000) 393497462077/5000000000) y) 4297481763/31250000) y) x) y) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y 216700011257/5000000000) y) 263505074721/1000000000) y) 156699607947/500000000) y) 23533438303/500000000)) |
(/.f64 (*.f64 (-.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 104109730557/25000000000) 393497462077/5000000000) z) 4297481763/31250000) z) y) z) x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 216700011257/5000000000) z) 263505074721/1000000000) z) 156699607947/500000000) z) 23533438303/500000000)) |
(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) z) x) y)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) |
| Outputs |
|---|
(/.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)) |
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000) x 156699607947/500000000) x 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) x 4297481763/31250000) x y) x z))) |
(*.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)) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(/.f64 (*.f64 (-.f64 y 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 y 104109730557/25000000000) 393497462077/5000000000) y) 4297481763/31250000) y) x) y) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y 216700011257/5000000000) y) 263505074721/1000000000) y) 156699607947/500000000) y) 23533438303/500000000)) |
(/.f64 (*.f64 (+.f64 y -2) (fma.f64 (fma.f64 (fma.f64 (fma.f64 y 104109730557/25000000000 393497462077/5000000000) y 4297481763/31250000) y x) y z)) (fma.f64 (fma.f64 (fma.f64 (+.f64 y 216700011257/5000000000) y 263505074721/1000000000) y 156699607947/500000000) y 23533438303/500000000)) |
(*.f64 (/.f64 (+.f64 y -2) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 y 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 104109730557/25000000000 y 393497462077/5000000000) 4297481763/31250000) x) z)) |
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 104109730557/25000000000 y 393497462077/5000000000) 4297481763/31250000) x) z) (/.f64 (+.f64 y -2) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 y 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(/.f64 (*.f64 (-.f64 z 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 104109730557/25000000000) 393497462077/5000000000) z) 4297481763/31250000) z) y) z) x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 216700011257/5000000000) z) 263505074721/1000000000) z) 156699607947/500000000) z) 23533438303/500000000)) |
(/.f64 (+.f64 z -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 z 216700011257/5000000000) z 263505074721/1000000000) z 156699607947/500000000) z 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 104109730557/25000000000 393497462077/5000000000) z 4297481763/31250000) z y) z x))) |
(*.f64 (/.f64 (+.f64 z -2) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 104109730557/25000000000 z 393497462077/5000000000) 4297481763/31250000) y) x)) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 104109730557/25000000000 z 393497462077/5000000000) 4297481763/31250000) y) x) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 z -2)) |
(/.f64 (+.f64 z -2) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 104109730557/25000000000 z 393497462077/5000000000) 4297481763/31250000) y) x))) |
(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) z) x) y)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) |
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000) x 156699607947/500000000) x 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) x 4297481763/31250000) x z) x y))) |
(*.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) z) y)) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) y) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
Compiled 40 to 29 computations (27.5% saved)
| 1× | egg-herbie |
| 742× | associate-+l+_binary64 |
| 706× | distribute-rgt-in_binary64 |
| 700× | distribute-lft-in_binary64 |
| 670× | associate-+r+_binary64 |
| 226× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 41 |
| 1 | 64 | 41 |
| 2 | 157 | 41 |
| 3 | 531 | 41 |
| 4 | 1733 | 41 |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
| Outputs |
|---|
(/.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)) |
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000) x 156699607947/500000000) x 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) x 4297481763/31250000) x y) x z))) |
(/.f64 (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))) |
(*.f64 (/.f64 (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 x -2)) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(*.f64 (+.f64 x -2) (/.f64 (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 70 to 48 computations (31.4% saved)
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 |
|---|---|---|
| ▶ | 22.4b | (*.f64 (+.f64 x -2) (/.f64 (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))) |
| 24.2b | (/.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 146 to 102 computations (30.1% 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 (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))) |
| ✓ | 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) |
| ✓ | 21.7b | (/.f64 (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)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (/.f64 (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)) |
| 3.0ms | y | @ | 0 | (/.f64 (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)) |
| 2.0ms | x | @ | inf | (*.f64 (+.f64 x -2) (/.f64 (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))) |
| 2.0ms | z | @ | 0 | (/.f64 (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)) |
| 1.0ms | x | @ | 0 | (/.f64 (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)) |
| 1× | batch-egg-rewrite |
| 248× | add-sqr-sqrt_binary64 |
| 234× | add-exp-log_binary64 |
| 234× | add-log-exp_binary64 |
| 234× | log1p-expm1-u_binary64 |
| 234× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 94 |
| 1 | 500 | 94 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (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)) |
(fma.f64 x 104109730557/25000000000 393497462077/5000000000) |
(*.f64 (+.f64 x -2) (/.f64 (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))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (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)))))) (#(struct:change 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156699607947/500000000) 23533438303/500000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))))))) |
| 1× | egg-herbie |
| 599× | fma-def_binary64 |
| 291× | associate-+l+_binary64 |
| 284× | distribute-rgt-in_binary64 |
| 267× | distribute-lft-in_binary64 |
| 233× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 4373 |
| 1 | 479 | 3774 |
| 2 | 1359 | 3516 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 500000000/23533438303 z) |
(+.f64 (*.f64 500000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x))) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (+.f64 (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (*.f64 65876268680250000000/553822718361107519809 z)))) (*.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (*.f64 -1 y)) (pow.f64 x 3))))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
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(+.f64 (*.f64 4297481763/31250000 x) (+.f64 y (*.f64 393497462077/5000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 4297481763/31250000 x) (+.f64 y (+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))) |
(*.f64 104109730557/25000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 4297481763/31250000 x) (+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 4297481763/31250000 x) (+.f64 y (+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))) |
(*.f64 104109730557/25000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 4297481763/31250000 x) (+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 4297481763/31250000 x) (+.f64 y (+.f64 (*.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))) |
(*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
y |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
y |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
| Outputs |
|---|
(*.f64 500000000/23533438303 z) |
(+.f64 (*.f64 500000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)) |
(fma.f64 500000000/23533438303 z (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) x)) |
(fma.f64 500000000/23533438303 z (*.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) x)) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x))) |
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) x))) |
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) x))) |
(fma.f64 500000000/23533438303 z (*.f64 x (+.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) (*.f64 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) x)))) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (+.f64 (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (*.f64 65876268680250000000/553822718361107519809 z)))) (*.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z))) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 z 10835000562850000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) x)))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) 263505074721/47066876606 (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 z 10835000562850000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) x)))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 z 10835000562850000000/553822718361107519809 (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) (+.f64 (*.f64 y 65876268680250000000/553822718361107519809) (*.f64 z -10322785475206410101946750000000/13033352773350869092174451844127))))) (pow.f64 x 3) (fma.f64 500000000/23533438303 z (*.f64 x (+.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) (*.f64 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) x))))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)) |
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))) |
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 y (pow.f64 x 3)))) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x)) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x 3)) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)) |
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (*.f64 -1 y)) (pow.f64 x 3))))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(+.f64 104109730557/25000000000 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (neg.f64 (/.f64 (+.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (neg.f64 y)) (pow.f64 x 3)))) (/.f64 12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) (*.f64 x x) z) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) x)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))))) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000)) (/.f64 z (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000)))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x) (+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x x)) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
(fma.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (fma.f64 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
(+.f64 (/.f64 (*.f64 y x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) |
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) x)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))))) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000)) (/.f64 z (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000)))) |
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(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
y |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
y |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
(+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y) |
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 393497462077/5000000000))) |
(+.f64 y (fma.f64 x 4297481763/31250000 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 (*.f64 x x) 393497462077/5000000000)))) |
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) |
Compiled 4819 to 3297 computations (31.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 139 | 10 | 149 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 141 | 10 | 151 |
| Status | Error | Program |
|---|---|---|
| 22.7b | (*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (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))) | |
| 43.2b | (*.f64 (+.f64 x -2) (cbrt.f64 (pow.f64 (/.f64 (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)) 3))) | |
| 22.5b | (fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x)) | |
| 22.5b | (*.f64 (+.f64 x -2) (pow.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)) -1)) | |
| 44.4b | (*.f64 (+.f64 x -2) (*.f64 (/.f64 x (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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) | |
| 31.6b | (*.f64 (+.f64 x -2) (fma.f64 500000000/23533438303 z (*.f64 x (+.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) (*.f64 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) x))))) | |
| ▶ | 22.0b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) |
| 44.0b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (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)) 3) (pow.f64 (+.f64 x -2) 3))) | |
| 35.3b | (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) | |
| 22.5b | (*.f64 (+.f64 x -2) (/.f64 (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))) |
Compiled 798 to 556 computations (30.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) | |
| ✓ | 2.0b | (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| ✓ | 18.1b | (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
| ✓ | 21.2b | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
| 2.0ms | x | @ | 0 | (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 2.0ms | z | @ | -inf | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
| 2.0ms | y | @ | 0 | (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
| 1× | batch-egg-rewrite |
| 271× | add-sqr-sqrt_binary64 |
| 255× | add-exp-log_binary64 |
| 255× | add-log-exp_binary64 |
| 255× | log1p-expm1-u_binary64 |
| 255× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 81 |
| 1 | 548 | 81 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (cbrt.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (cbrt.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) |
| 1× | egg-herbie |
| 329× | distribute-rgt-in_binary64 |
| 314× | distribute-lft-in_binary64 |
| 256× | times-frac_binary64 |
| 228× | associate-/r*_binary64 |
| 221× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 2202 |
| 1 | 656 | 1974 |
| 2 | 2227 | 1912 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 500000000/23533438303 z) |
(+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z)))) (+.f64 (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (*.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(*.f64 -1000000000/23533438303 (*.f64 y x)) |
(+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -156699607947/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y))))) (pow.f64 x 4))) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))) |
(/.f64 y (pow.f64 x 2)) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -2 (/.f64 y (pow.f64 x 3)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 156699607947/500000000 y) (+.f64 (*.f64 263505074721/1000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))) (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))))))) (pow.f64 x 5))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(/.f64 y (pow.f64 x 2)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (*.f64 263505074721/1000000000 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(*.f64 500000000/23533438303 y) |
(+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 y x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 y)) (pow.f64 x 2))) (+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 y)) (pow.f64 x 2))) (+.f64 (*.f64 500000000/23533438303 y) (+.f64 (*.f64 -78349803973500000000/553822718361107519809 (*.f64 y x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -156699607947/23533438303 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 y))) (+.f64 (*.f64 10835000562850000000/553822718361107519809 y) (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 y))) (pow.f64 x 3)))))) |
(/.f64 y (pow.f64 x 4)) |
(+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -57101552658317326134297/5000000000000000000 y) (+.f64 (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y))) (*.f64 156699607947/500000000 y))) (pow.f64 x 7))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))))) |
(/.f64 y (pow.f64 x 4)) |
(+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 7))) (+.f64 (/.f64 y (pow.f64 x 4)) (+.f64 (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))) (+.f64 (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 7))) (*.f64 57101552658317326134297/5000000000000000000 (/.f64 y (pow.f64 x 7)))))))) |
| Outputs |
|---|
(*.f64 500000000/23533438303 z) |
(+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))) |
(fma.f64 500000000/23533438303 z (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))) |
(fma.f64 -78349803973500000000/553822718361107519809 (*.f64 z x) (*.f64 500000000/23533438303 z)) |
(*.f64 z (+.f64 (*.f64 -78349803973500000000/553822718361107519809 x) 500000000/23533438303)) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) |
(fma.f64 (-.f64 68759708208/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) |
(fma.f64 (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (fma.f64 -78349803973500000000/553822718361107519809 (*.f64 z x) (*.f64 500000000/23533438303 z))) |
(fma.f64 (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (*.f64 z (+.f64 (*.f64 -78349803973500000000/553822718361107519809 x) 500000000/23533438303))) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z)))) (+.f64 (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (*.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 z -10067800657947609353103200000000/13033352773350869092174451844127))) (pow.f64 x 3) (fma.f64 (-.f64 68759708208/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) 156699607947/23533438303 (*.f64 z -10067800657947609353103200000000/13033352773350869092174451844127))) (pow.f64 x 3) (fma.f64 (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (fma.f64 -78349803973500000000/553822718361107519809 (*.f64 z x) (*.f64 500000000/23533438303 z)))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 z -10067800657947609353103200000000/13033352773350869092174451844127 (+.f64 10774619318743717928976/553822718361107519809 (*.f64 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127) 156699607947/23533438303)))) (pow.f64 x 3) (fma.f64 (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (*.f64 z (+.f64 (*.f64 -78349803973500000000/553822718361107519809 x) 500000000/23533438303)))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)) |
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))) |
(+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (+.f64 104109730557/25000000000 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))) |
104109730557/25000000000 |
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)) |
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))) |
(+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(+.f64 104109730557/25000000000 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 -12723143231740136880149/125000000000000000000 x))) |
(-.f64 (+.f64 104109730557/25000000000 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))) |
(+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (+.f64 104109730557/25000000000 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x x)) |
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(+.f64 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 3)))) |
(-.f64 (/.f64 y (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))) |
(fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 4)) (+.f64 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 3))))) |
(-.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))) (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 4))) |
(-.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (*.f64 263505074721/1000000000 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 4)) (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 3)) (fma.f64 263505074721/1000000000 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 5)) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(-.f64 (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 5)) (-.f64 (fma.f64 263505074721/1000000000 (/.f64 y (/.f64 (pow.f64 x 5) 226700011257/5000000000)) (/.f64 -156699607947/500000000 (/.f64 (pow.f64 x 5) y))) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))))) (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 4))) |
(-.f64 (+.f64 (fma.f64 216700011257/5000000000 (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 5)) (/.f64 (*.f64 y -226700011257/5000000000) (pow.f64 x 3))) (+.f64 (fma.f64 263505074721/1000000000 (*.f64 (/.f64 y (pow.f64 x 5)) 226700011257/5000000000) (*.f64 (/.f64 -156699607947/500000000 (pow.f64 x 5)) y)) (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 y (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 500000000/23533438303 y) |
(+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 y x))) |
(fma.f64 500000000/23533438303 y (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x y))) |
(*.f64 y (+.f64 (*.f64 -78349803973500000000/553822718361107519809 x) 500000000/23533438303)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 y)) (pow.f64 x 2))) (+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 y x)))) |
(fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 y -10727088460753238167788750000000/13033352773350869092174451844127)) (fma.f64 500000000/23533438303 y (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x y)))) |
(-.f64 (fma.f64 500000000/23533438303 y (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 y -10727088460753238167788750000000/13033352773350869092174451844127))) |
(fma.f64 (*.f64 y 10727088460753238167788750000000/13033352773350869092174451844127) (*.f64 x x) (*.f64 y (+.f64 (*.f64 -78349803973500000000/553822718361107519809 x) 500000000/23533438303))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 y)) (pow.f64 x 2))) (+.f64 (*.f64 500000000/23533438303 y) (+.f64 (*.f64 -78349803973500000000/553822718361107519809 (*.f64 y x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -156699607947/23533438303 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 y))) (+.f64 (*.f64 10835000562850000000/553822718361107519809 y) (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 y))) (pow.f64 x 3)))))) |
(fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 y -10727088460753238167788750000000/13033352773350869092174451844127)) (fma.f64 500000000/23533438303 y (fma.f64 -78349803973500000000/553822718361107519809 (*.f64 x y) (neg.f64 (*.f64 (pow.f64 x 3) (fma.f64 -156699607947/23533438303 (*.f64 y -10727088460753238167788750000000/13033352773350869092174451844127) (*.f64 y -10067800657947609353103200000000/13033352773350869092174451844127))))))) |
(-.f64 (-.f64 (fma.f64 500000000/23533438303 y (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x y))) (*.f64 (pow.f64 x 3) (fma.f64 y -10067800657947609353103200000000/13033352773350869092174451844127 (*.f64 y 1680930556212820117203213728917196250000000/306719603372886620352117082586607327396481)))) (*.f64 (*.f64 x x) (*.f64 y -10727088460753238167788750000000/13033352773350869092174451844127))) |
(-.f64 (fma.f64 (*.f64 y 10727088460753238167788750000000/13033352773350869092174451844127) (*.f64 x x) (*.f64 y (+.f64 (*.f64 -78349803973500000000/553822718361107519809 x) 500000000/23533438303))) (*.f64 (pow.f64 x 3) (*.f64 y 1444000590582107245885613830125326650000000/306719603372886620352117082586607327396481))) |
(/.f64 y (pow.f64 x 4)) |
(+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))) |
(fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))))) |
(fma.f64 -1 (/.f64 (*.f64 y -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))))) |
(-.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) (/.f64 y (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))) |
(+.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) (/.f64 (*.f64 y 40371268010758926720049/25000000000000000000) (pow.f64 x 6))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -57101552658317326134297/5000000000000000000 y) (+.f64 (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y))) (*.f64 156699607947/500000000 y))) (pow.f64 x 7))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 y -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (fma.f64 -1 (/.f64 (fma.f64 -57101552658317326134297/5000000000000000000 y (fma.f64 -216700011257/5000000000 (*.f64 y -40371268010758926720049/25000000000000000000) (*.f64 156699607947/500000000 y))) (pow.f64 x 7)) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))))) |
(-.f64 (-.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) (/.f64 (fma.f64 y -57101552658317326134297/5000000000000000000 (fma.f64 156699607947/500000000 y (*.f64 y 8748454232390823417347856387591593/125000000000000000000000000000))) (pow.f64 x 7))) (/.f64 y (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))) |
(+.f64 (/.f64 (*.f64 y 40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (-.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) (/.f64 (fma.f64 y -57101552658317326134297/5000000000000000000 (*.f64 y 8787629134377573417347856387591593/125000000000000000000000000000)) (pow.f64 x 7)))) |
(/.f64 y (pow.f64 x 4)) |
(+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))) |
(fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))))) |
(fma.f64 -1 (/.f64 (*.f64 y -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))))) |
(-.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) (/.f64 y (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))) |
(+.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 y (pow.f64 x 4))) (/.f64 (*.f64 y 40371268010758926720049/25000000000000000000) (pow.f64 x 6))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 6))) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -46958894878783926720049/25000000000000000000 y)) (pow.f64 x 7))) (+.f64 (/.f64 y (pow.f64 x 4)) (+.f64 (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5))) (+.f64 (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 7))) (*.f64 57101552658317326134297/5000000000000000000 (/.f64 y (pow.f64 x 7)))))))) |
(fma.f64 -1 (/.f64 (*.f64 y -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 y -40371268010758926720049/25000000000000000000) (pow.f64 x 7)) (+.f64 (/.f64 y (pow.f64 x 4)) (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (*.f64 (/.f64 y (pow.f64 x 7)) 55534556578847326134297/5000000000000000000))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 y (pow.f64 x 7)) 55534556578847326134297/5000000000000000000 (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)))) (fma.f64 216700011257/5000000000 (/.f64 y (/.f64 (pow.f64 x 7) -40371268010758926720049/25000000000000000000)) (/.f64 y (pow.f64 x 4)))) (/.f64 y (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))) |
(+.f64 (/.f64 (*.f64 y 40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (+.f64 (fma.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (/.f64 (*.f64 y 55534556578847326134297/5000000000000000000) (pow.f64 x 7))) (fma.f64 216700011257/5000000000 (/.f64 y (/.f64 (pow.f64 x 7) -40371268010758926720049/25000000000000000000)) (/.f64 y (pow.f64 x 4))))) |
Compiled 6515 to 4300 computations (34% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 4 | 120 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 9 | 130 |
| Status | Error | Program |
|---|---|---|
| 30.5b | (fma.f64 (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) (+.f64 x -2) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) | |
| 26.5b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) | |
| 38.5b | (fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (+.f64 x -2) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) | |
| ▶ | 22.0b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y)) |
| 22.7b | (*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (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))) | |
| 22.5b | (fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x)) | |
| 44.0b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (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)) 3) (pow.f64 (+.f64 x -2) 3))) | |
| 35.3b | (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) | |
| 22.5b | (*.f64 (+.f64 x -2) (/.f64 (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))) |
Compiled 934 to 642 computations (31.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) | |
| ✓ | 3.9b | (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y) |
| ✓ | 21.1b | (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 21.2b | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y) |
| 1× | batch-egg-rewrite |
| 318× | log1p-udef_binary64 |
| 179× | add-sqr-sqrt_binary64 |
| 169× | add-exp-log_binary64 |
| 169× | add-log-exp_binary64 |
| 169× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 53 |
| 1 | 358 | 53 |
| 2 | 4620 | 53 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -2) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x -2)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) 2) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -2))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x -2))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x -2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x -2))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (+.f64 x -2))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) 1) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x -2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (*.f64 x (+.f64 x -2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 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| 1× | egg-herbie |
| 668× | fma-def_binary64 |
| 255× | associate-+l+_binary64 |
| 254× | associate-*l*_binary64 |
| 238× | associate-*r*_binary64 |
| 175× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1059 |
| 1 | 415 | 943 |
| 2 | 1402 | 862 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1000000000/23533438303 x) |
(+.f64 (*.f64 -1000000000/23533438303 x) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))) |
(+.f64 (*.f64 -1000000000/23533438303 x) (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3)) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2)))) |
(+.f64 (*.f64 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481 (pow.f64 x 4)) (+.f64 (*.f64 -1000000000/23533438303 x) (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3)) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))))) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3))))) |
(*.f64 -1000000000/23533438303 (*.f64 y x)) |
(+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -156699607947/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y))))) (pow.f64 x 4))) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))) |
(/.f64 y (pow.f64 x 2)) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -2 (/.f64 y (pow.f64 x 3)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 156699607947/500000000 y) (+.f64 (*.f64 263505074721/1000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))) (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))))))) (pow.f64 x 5))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(/.f64 y (pow.f64 x 2)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (*.f64 263505074721/1000000000 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
| Outputs |
|---|
(*.f64 -1000000000/23533438303 x) |
(+.f64 (*.f64 -1000000000/23533438303 x) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))) |
(fma.f64 -1000000000/23533438303 x (*.f64 168466327098500000000/553822718361107519809 (*.f64 x x))) |
(fma.f64 168466327098500000000/553822718361107519809 (*.f64 x x) (*.f64 -1000000000/23533438303 x)) |
(*.f64 x (+.f64 -1000000000/23533438303 (*.f64 168466327098500000000/553822718361107519809 x))) |
(+.f64 (*.f64 -1000000000/23533438303 x) (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3)) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2)))) |
(fma.f64 -1000000000/23533438303 x (fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3) (*.f64 168466327098500000000/553822718361107519809 (*.f64 x x)))) |
(fma.f64 -1000000000/23533438303 x (fma.f64 168466327098500000000/553822718361107519809 (*.f64 x x) (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3)))) |
(fma.f64 -1000000000/23533438303 x (*.f64 (*.f64 x x) (+.f64 168466327098500000000/553822718361107519809 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))) |
(+.f64 (*.f64 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481 (pow.f64 x 4)) (+.f64 (*.f64 -1000000000/23533438303 x) (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3)) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))))) |
(fma.f64 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481 (pow.f64 x 4) (fma.f64 -1000000000/23533438303 x (fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3) (*.f64 168466327098500000000/553822718361107519809 (*.f64 x x))))) |
(fma.f64 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481 (pow.f64 x 4) (fma.f64 -1000000000/23533438303 x (fma.f64 168466327098500000000/553822718361107519809 (*.f64 x x) (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3))))) |
(fma.f64 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481 (pow.f64 x 4) (fma.f64 -1000000000/23533438303 x (*.f64 (*.f64 x x) (+.f64 168466327098500000000/553822718361107519809 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x))))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 226700011257/5000000000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 226700011257/5000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (/.f64 -226700011257/5000000000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4))) (+.f64 (/.f64 226700011257/5000000000 (pow.f64 x 3)) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 5)))) (/.f64 -226700011257/5000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (/.f64 -7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 5))) (/.f64 -226700011257/5000000000 (pow.f64 x 3)))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 226700011257/5000000000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 226700011257/5000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (/.f64 -226700011257/5000000000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4))) (+.f64 (/.f64 226700011257/5000000000 (pow.f64 x 3)) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 5)))) (/.f64 -226700011257/5000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 4)) (/.f64 -7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 5))) (/.f64 -226700011257/5000000000 (pow.f64 x 3)))) |
(*.f64 -1000000000/23533438303 (*.f64 y x)) |
(*.f64 -1000000000/23533438303 (*.f64 x y)) |
(+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))) |
(fma.f64 -1000000000/23533438303 (*.f64 x y) (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809))) |
(fma.f64 -1000000000/23533438303 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 168466327098500000000/553822718361107519809 y)))) |
(*.f64 y (*.f64 x (+.f64 -1000000000/23533438303 (*.f64 168466327098500000000/553822718361107519809 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 156699607947/23533438303 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 y -131752537360500000000/553822718361107519809))) (fma.f64 -1000000000/23533438303 (*.f64 x y) (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809)))) |
(-.f64 (fma.f64 -1000000000/23533438303 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 168466327098500000000/553822718361107519809 y)))) (*.f64 (pow.f64 x 3) (fma.f64 y -131752537360500000000/553822718361107519809 (*.f64 y 26398607408606012051779500000000/13033352773350869092174451844127)))) |
(-.f64 (*.f64 y (*.f64 x (+.f64 -1000000000/23533438303 (*.f64 168466327098500000000/553822718361107519809 x)))) (*.f64 (pow.f64 x 3) (*.f64 y 23298017199368982832548000000000/13033352773350869092174451844127))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -156699607947/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y))))) (pow.f64 x 4))) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))) |
(fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 156699607947/23533438303 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 y -131752537360500000000/553822718361107519809))) (fma.f64 -1000000000/23533438303 (*.f64 x y) (fma.f64 -1 (*.f64 (pow.f64 x 4) (fma.f64 -21670001125700000000/553822718361107519809 y (fma.f64 263505074721/47066876606 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 (fma.f64 156699607947/23533438303 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 y -131752537360500000000/553822718361107519809)) -156699607947/23533438303)))) (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809))))) |
(-.f64 (fma.f64 -1000000000/23533438303 (*.f64 x y) (-.f64 (*.f64 x (*.f64 x (*.f64 168466327098500000000/553822718361107519809 y))) (*.f64 (pow.f64 x 4) (fma.f64 y -21670001125700000000/553822718361107519809 (fma.f64 (fma.f64 y -131752537360500000000/553822718361107519809 (*.f64 y 26398607408606012051779500000000/13033352773350869092174451844127)) -156699607947/23533438303 (*.f64 y 22195866055031334813509250000000/13033352773350869092174451844127)))))) (*.f64 (pow.f64 x 3) (fma.f64 y -131752537360500000000/553822718361107519809 (*.f64 y 26398607408606012051779500000000/13033352773350869092174451844127)))) |
(-.f64 (-.f64 (*.f64 y (*.f64 x (+.f64 -1000000000/23533438303 (*.f64 168466327098500000000/553822718361107519809 x)))) (*.f64 (pow.f64 x 4) (fma.f64 (*.f64 y 23298017199368982832548000000000/13033352773350869092174451844127) -156699607947/23533438303 (*.f64 y 21685896420513733315822150000000/13033352773350869092174451844127)))) (*.f64 (pow.f64 x 3) (*.f64 y 23298017199368982832548000000000/13033352773350869092174451844127))) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -2 (/.f64 y (pow.f64 x 3)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 (/.f64 y (pow.f64 x 3)) 216700011257/5000000000))) |
(+.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000)) |
(fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) (pow.f64 x 4)))) (*.f64 (/.f64 y (pow.f64 x 3)) 216700011257/5000000000))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (neg.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000))) (pow.f64 x 4)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 156699607947/500000000 y) (+.f64 (*.f64 263505074721/1000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))) (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))))))) (pow.f64 x 5))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 156699607947/500000000 y (fma.f64 263505074721/1000000000 (*.f64 y -226700011257/5000000000) (*.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) -216700011257/5000000000))) (pow.f64 x 5)) (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) (pow.f64 x 4)))))) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(fma.f64 -1 (/.f64 (fma.f64 y 156699607947/500000000 (fma.f64 -216700011257/5000000000 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000)) (*.f64 y -59736603405527326134297/5000000000000000000))) (pow.f64 x 5)) (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (neg.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000))) (pow.f64 x 4)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) (/.f64 (fma.f64 -216700011257/5000000000 (*.f64 y -42538268123328926720049/25000000000000000000) (*.f64 y -58169607326057326134297/5000000000000000000)) (pow.f64 x 5))) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3)))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 (/.f64 y (pow.f64 x 3)) 216700011257/5000000000))) |
(+.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000)) |
(fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) (pow.f64 x 4)))) (*.f64 (/.f64 y (pow.f64 x 3)) 216700011257/5000000000))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (neg.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000))) (pow.f64 x 4)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (*.f64 263505074721/1000000000 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 4)) (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 3)) (fma.f64 263505074721/1000000000 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 5)) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(-.f64 (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 5)) (-.f64 (fma.f64 263505074721/1000000000 (/.f64 (*.f64 226700011257/5000000000 y) (pow.f64 x 5)) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))))) (/.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 4))) |
(+.f64 (fma.f64 216700011257/5000000000 (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 5)) (fma.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)) (/.f64 (*.f64 y 59736603405527326134297/5000000000000000000) (pow.f64 x 5)))) (-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4)))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 y (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
Compiled 8672 to 5710 computations (34.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 4 | 163 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 163 | 9 | 172 |
| Status | Error | Program |
|---|---|---|
| 22.9b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 (*.f64 (+.f64 x -2) (*.f64 x y)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 22.7b | (*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (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))) | |
| 44.0b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (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)) 3) (pow.f64 (+.f64 x -2) 3))) | |
| 38.5b | (fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (+.f64 x -2) (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y)) | |
| 22.5b | (fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x)) | |
| ▶ | 21.9b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
| 30.5b | (fma.f64 (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) (+.f64 x -2) (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y)) | |
| 35.3b | (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) | |
| 22.5b | (*.f64 (+.f64 x -2) (/.f64 (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))) |
Compiled 940 to 644 computations (31.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (fma.f64 x 104109730557/25000000000 393497462077/5000000000) | |
| ✓ | 4.3b | (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
| ✓ | 18.5b | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))) |
| 21.2b | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
| 0.0ms | x | @ | -inf | (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
| 0.0ms | x | @ | 0 | (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
| 1× | batch-egg-rewrite |
| 214× | prod-diff_binary64 |
| 183× | add-sqr-sqrt_binary64 |
| 173× | add-exp-log_binary64 |
| 173× | add-log-exp_binary64 |
| 173× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 53 |
| 1 | 365 | 53 |
| 2 | 4933 | 53 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))) |
(/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (*.f64 x (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))))) |
| 1× | egg-herbie |
| 630× | fma-def_binary64 |
| 258× | associate-+l+_binary64 |
| 249× | associate-*l*_binary64 |
| 229× | associate-*r*_binary64 |
| 175× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 963 |
| 1 | 411 | 833 |
| 2 | 1376 | 758 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -23533438303/1000000000 x) |
(neg.f64 (+.f64 336932654197/2000000000 (*.f64 23533438303/1000000000 (/.f64 1 x)))) |
(-.f64 (*.f64 -863942803639/4000000000 x) (+.f64 336932654197/2000000000 (*.f64 23533438303/1000000000 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -5186514063223/40000000000 (pow.f64 x 2)) (*.f64 -863942803639/4000000000 x)) (+.f64 336932654197/2000000000 (*.f64 23533438303/1000000000 (/.f64 1 x)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2)) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2))) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (+.f64 (*.f64 1277211717927/1250000000 (/.f64 1 x)) (pow.f64 x 2)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2)) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2))) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (+.f64 (*.f64 1277211717927/1250000000 (/.f64 1 x)) (pow.f64 x 2)))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(*.f64 -1000000000/23533438303 (*.f64 y x)) |
(+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -156699607947/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y))))) (pow.f64 x 4))) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))) |
(/.f64 y (pow.f64 x 2)) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -2 (/.f64 y (pow.f64 x 3)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 156699607947/500000000 y) (+.f64 (*.f64 263505074721/1000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))) (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))))))) (pow.f64 x 5))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(/.f64 y (pow.f64 x 2)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (*.f64 263505074721/1000000000 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
| Outputs |
|---|
(/.f64 -23533438303/1000000000 x) |
(neg.f64 (+.f64 336932654197/2000000000 (*.f64 23533438303/1000000000 (/.f64 1 x)))) |
(+.f64 -336932654197/2000000000 (neg.f64 (/.f64 23533438303/1000000000 x))) |
(+.f64 -336932654197/2000000000 (/.f64 -23533438303/1000000000 x)) |
(-.f64 (*.f64 -863942803639/4000000000 x) (+.f64 336932654197/2000000000 (*.f64 23533438303/1000000000 (/.f64 1 x)))) |
(-.f64 (*.f64 x -863942803639/4000000000) (+.f64 336932654197/2000000000 (/.f64 23533438303/1000000000 x))) |
(+.f64 (fma.f64 x -863942803639/4000000000 -336932654197/2000000000) (/.f64 -23533438303/1000000000 x)) |
(-.f64 (+.f64 (*.f64 -5186514063223/40000000000 (pow.f64 x 2)) (*.f64 -863942803639/4000000000 x)) (+.f64 336932654197/2000000000 (*.f64 23533438303/1000000000 (/.f64 1 x)))) |
(-.f64 (fma.f64 -5186514063223/40000000000 (*.f64 x x) (*.f64 x -863942803639/4000000000)) (+.f64 336932654197/2000000000 (/.f64 23533438303/1000000000 x))) |
(fma.f64 -5186514063223/40000000000 (*.f64 x x) (+.f64 (fma.f64 x -863942803639/4000000000 -336932654197/2000000000) (/.f64 -23533438303/1000000000 x))) |
(+.f64 (fma.f64 x (*.f64 x -5186514063223/40000000000) (fma.f64 x -863942803639/4000000000 -336932654197/2000000000)) (/.f64 -23533438303/1000000000 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2)) |
(fma.f64 226700011257/5000000000 x (*.f64 x x)) |
(*.f64 x (+.f64 x 226700011257/5000000000)) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2))) |
(+.f64 (fma.f64 226700011257/5000000000 x (*.f64 x x)) 1770925396119/5000000000) |
(+.f64 (*.f64 x (+.f64 x 226700011257/5000000000)) 1770925396119/5000000000) |
(fma.f64 x (+.f64 226700011257/5000000000 x) 1770925396119/5000000000) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (+.f64 (*.f64 1277211717927/1250000000 (/.f64 1 x)) (pow.f64 x 2)))) |
(+.f64 1770925396119/5000000000 (fma.f64 226700011257/5000000000 x (+.f64 (*.f64 x x) (/.f64 1277211717927/1250000000 x)))) |
(+.f64 1770925396119/5000000000 (fma.f64 x 226700011257/5000000000 (fma.f64 x x (/.f64 1277211717927/1250000000 x)))) |
(+.f64 (/.f64 1277211717927/1250000000 x) (fma.f64 x (+.f64 226700011257/5000000000 x) 1770925396119/5000000000)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2)) |
(fma.f64 226700011257/5000000000 x (*.f64 x x)) |
(*.f64 x (+.f64 x 226700011257/5000000000)) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (pow.f64 x 2))) |
(+.f64 (fma.f64 226700011257/5000000000 x (*.f64 x x)) 1770925396119/5000000000) |
(+.f64 (*.f64 x (+.f64 x 226700011257/5000000000)) 1770925396119/5000000000) |
(fma.f64 x (+.f64 226700011257/5000000000 x) 1770925396119/5000000000) |
(+.f64 1770925396119/5000000000 (+.f64 (*.f64 226700011257/5000000000 x) (+.f64 (*.f64 1277211717927/1250000000 (/.f64 1 x)) (pow.f64 x 2)))) |
(+.f64 1770925396119/5000000000 (fma.f64 226700011257/5000000000 x (+.f64 (*.f64 x x) (/.f64 1277211717927/1250000000 x)))) |
(+.f64 1770925396119/5000000000 (fma.f64 x 226700011257/5000000000 (fma.f64 x x (/.f64 1277211717927/1250000000 x)))) |
(+.f64 (/.f64 1277211717927/1250000000 x) (fma.f64 x (+.f64 226700011257/5000000000 x) 1770925396119/5000000000)) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) |
(*.f64 -1000000000/23533438303 (*.f64 y x)) |
(*.f64 -1000000000/23533438303 (*.f64 x y)) |
(*.f64 x (*.f64 y -1000000000/23533438303)) |
(+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))) |
(fma.f64 -1000000000/23533438303 (*.f64 x y) (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809))) |
(fma.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 x (*.f64 y -1000000000/23533438303))) |
(*.f64 x (+.f64 (*.f64 y -1000000000/23533438303) (*.f64 (*.f64 y 168466327098500000000/553822718361107519809) x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (fma.f64 156699607947/23533438303 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 y -131752537360500000000/553822718361107519809)) (pow.f64 x 3)) (fma.f64 -1000000000/23533438303 (*.f64 x y) (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809)))) |
(fma.f64 (neg.f64 (fma.f64 y -131752537360500000000/553822718361107519809 (*.f64 y 26398607408606012051779500000000/13033352773350869092174451844127))) (pow.f64 x 3) (fma.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 x (*.f64 y -1000000000/23533438303)))) |
(-.f64 (*.f64 x (+.f64 (*.f64 y -1000000000/23533438303) (*.f64 (*.f64 y 168466327098500000000/553822718361107519809) x))) (*.f64 (*.f64 y 23298017199368982832548000000000/13033352773350869092174451844127) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -156699607947/23533438303 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y))) (*.f64 -131752537360500000000/553822718361107519809 y))))) (pow.f64 x 4))) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))) |
(fma.f64 -1 (*.f64 (fma.f64 156699607947/23533438303 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 y -131752537360500000000/553822718361107519809)) (pow.f64 x 3)) (fma.f64 -1000000000/23533438303 (*.f64 x y) (fma.f64 -1 (*.f64 (fma.f64 -21670001125700000000/553822718361107519809 y (fma.f64 263505074721/47066876606 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 (fma.f64 156699607947/23533438303 (*.f64 y 168466327098500000000/553822718361107519809) (*.f64 y -131752537360500000000/553822718361107519809)) -156699607947/23533438303))) (pow.f64 x 4)) (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809))))) |
(-.f64 (fma.f64 -1000000000/23533438303 (*.f64 x y) (-.f64 (*.f64 (*.f64 x x) (*.f64 y 168466327098500000000/553822718361107519809)) (*.f64 (fma.f64 y -21670001125700000000/553822718361107519809 (fma.f64 (fma.f64 y -131752537360500000000/553822718361107519809 (*.f64 y 26398607408606012051779500000000/13033352773350869092174451844127)) -156699607947/23533438303 (*.f64 y 22195866055031334813509250000000/13033352773350869092174451844127))) (pow.f64 x 4)))) (*.f64 (fma.f64 y -131752537360500000000/553822718361107519809 (*.f64 y 26398607408606012051779500000000/13033352773350869092174451844127)) (pow.f64 x 3))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 y 23298017199368982832548000000000/13033352773350869092174451844127) -156699607947/23533438303 (*.f64 y 21685896420513733315822150000000/13033352773350869092174451844127)) (neg.f64 (pow.f64 x 4)) (*.f64 x (+.f64 (*.f64 y -1000000000/23533438303) (*.f64 (*.f64 y 168466327098500000000/553822718361107519809) x)))) (*.f64 (*.f64 y 23298017199368982832548000000000/13033352773350869092174451844127) (pow.f64 x 3))) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -2 (/.f64 y (pow.f64 x 3)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000)) |
(fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) (pow.f64 x 4)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (neg.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000))) (pow.f64 x 4)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 156699607947/500000000 y) (+.f64 (*.f64 263505074721/1000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))) (*.f64 -216700011257/5000000000 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y))))))) (pow.f64 x 5))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 216700011257/5000000000 (-.f64 (*.f64 -2 y) (*.f64 216700011257/5000000000 y)))) (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 156699607947/500000000 y (fma.f64 263505074721/1000000000 (*.f64 y -226700011257/5000000000) (*.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) -216700011257/5000000000))) (pow.f64 x 5)) (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) (pow.f64 x 4)))))) (*.f64 -216700011257/5000000000 (/.f64 y (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 y 156699607947/500000000 (fma.f64 -216700011257/5000000000 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000)) (*.f64 y -59736603405527326134297/5000000000000000000))) (pow.f64 x 5)) (/.f64 y (*.f64 x x))) (+.f64 (/.f64 (neg.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000))) (pow.f64 x 4)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000))) |
(-.f64 (-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) (/.f64 (fma.f64 -216700011257/5000000000 (*.f64 y -42538268123328926720049/25000000000000000000) (*.f64 y -58169607326057326134297/5000000000000000000)) (pow.f64 x 5))) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3)))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 -2 (/.f64 y (pow.f64 x 3))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (/.f64 y (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000)) |
(fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 216700011257/5000000000 (*.f64 y -226700011257/5000000000))) (pow.f64 x 4)))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (neg.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000))) (pow.f64 x 4)) (*.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 263505074721/1000000000 y) (*.f64 -216700011257/5000000000 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (*.f64 263505074721/1000000000 (/.f64 (-.f64 (*.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 4)) (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 263505074721/1000000000 y (*.f64 -216700011257/5000000000 (*.f64 y 226700011257/5000000000))) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 3)) (fma.f64 263505074721/1000000000 (/.f64 (*.f64 y 226700011257/5000000000) (pow.f64 x 5)) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))))))) |
(-.f64 (+.f64 (/.f64 y (*.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 5)) (-.f64 (fma.f64 263505074721/1000000000 (/.f64 y (/.f64 (pow.f64 x 5) 226700011257/5000000000)) (/.f64 -156699607947/500000000 (/.f64 (pow.f64 x 5) y))) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))))) (/.f64 (fma.f64 y 263505074721/1000000000 (*.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 4))) |
(-.f64 (+.f64 (fma.f64 216700011257/5000000000 (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 5)) (fma.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)) (/.f64 (*.f64 y 59736603405527326134297/5000000000000000000) (pow.f64 x 5)))) (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) |
Compiled 9818 to 6433 computations (34.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 4 | 182 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 9 | 191 |
| Status | Error | Program |
|---|---|---|
| 22.9b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 (*.f64 (+.f64 x -2) (*.f64 x y)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 22.7b | (*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (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))) | |
| 35.3b | (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) | |
| 30.5b | (fma.f64 (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) | |
| 22.5b | (fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x)) | |
| 22.1b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) 2)) (/.f64 y (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))))) | |
| 22.0b | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 3)) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) | |
| 44.0b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (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)) 3) (pow.f64 (+.f64 x -2) 3))) | |
| 38.5b | (fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
Compiled 514 to 354 computations (31.1% saved)
Total -63.2b remaining (-16657.5%)
Threshold costs -63.2b (-16657.5%)
| Inputs |
|---|
(fma.f64 (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))) 2)) (/.f64 y (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 3)) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 (*.f64 (+.f64 x -2) (*.f64 x y)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (+.f64 x -2) (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
(fma.f64 (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) (+.f64 x -2) (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y)) |
(fma.f64 (+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))) (+.f64 x -2) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (+.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) (*.f64 (-.f64 (*.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) (+.f64 x -2) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (*.f64 (/.f64 (*.f64 x (-.f64 x 2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) y)) |
(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (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 x -2) (cbrt.f64 (pow.f64 (/.f64 (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)) 3))) |
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x)) |
(*.f64 (+.f64 x -2) (pow.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)) -1)) |
(*.f64 (+.f64 x -2) (*.f64 (/.f64 x (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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) |
(*.f64 (+.f64 x -2) (fma.f64 500000000/23533438303 z (*.f64 x (+.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) (*.f64 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) x))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (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)) 3) (pow.f64 (+.f64 x -2) 3))) |
(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) |
(*.f64 (+.f64 x -2) (/.f64 (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))) |
(*.f64 (+.f64 x -2) (/.f64 (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) (+.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)) |
| Outputs |
|---|
(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) |
(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) |
| Time | Error | Segments | Branch |
| 36.0ms | 0.4b | 3 | x |
| 79.0ms | 18.3b | 7 | y |
| 37.0ms | 19.9b | 3 | z |
| 24.0ms | 0.4b | 2 | (/.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 1257 to 829 computations (34% saved)
| 2× | binary-search |
| Time | Point | Range | ||||
|---|---|---|---|---|---|---|
| 40.0ms | 3.759027277177724e+49 | ∈ [ | 3.759027277177724e+49 | , | 1.3276598854330897e+56 | ] |
| 41.0ms | -4.655703106873221e+67 | ∈ [ | -4.655703106873221e+67 | , | -6.734401221920894e+60 | ] |
Compiled 46 to 34 computations (26.1% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 7× | distribute-neg-in_binary64 |
| 7× | cancel-sign-sub-inv_binary64 |
| 7× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 148 |
| 1 | 56 | 148 |
| 2 | 66 | 148 |
| 3 | 77 | 148 |
| 4 | 93 | 148 |
| 5 | 107 | 148 |
| 6 | 110 | 148 |
| 7 | 115 | 148 |
| 8 | 124 | 148 |
| 9 | 128 | 148 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -46557031068732210415271908761581438474941916458300441606390705815552) (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) (if (<=.f64 x 37590272771777242099214144208120270592377421299712) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))))) |
| Outputs |
|---|
(if (<=.f64 x -46557031068732210415271908761581438474941916458300441606390705815552) (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) (if (<=.f64 x 37590272771777242099214144208120270592377421299712) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))))) |
(if (<=.f64 x -46557031068732210415271908761581438474941916458300441606390705815552) (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (+.f64 104109730557/25000000000 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) (if (<=.f64 x 37590272771777242099214144208120270592377421299712) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2) (/.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2))))) (*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (+.f64 104109730557/25000000000 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))))) |
| 1× | fuel |
Compiled 212 to 146 computations (31.1% saved)
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