Time bar (total: 6.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 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 |
| 2.0ms | 10× | 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))) |
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 |
|---|---|---|
| ▶ | 24.7b | (*.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))) |
| 27.4b | (/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) |
Compiled 216 to 150 computations (30.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (fma.f64 x (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) |
| ✓ | 23.9b | (/.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 | |
|---|---|---|---|---|
| 4.0ms | 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 | 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)) |
| 1.0ms | 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 (+.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))) |
| 1.0ms | z | @ | 0 | (*.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))) |
| 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 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) |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 141 | 8 | 149 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 142 | 9 | 151 |
| Status | Error | Program |
|---|---|---|
| 37.8b | (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) | |
| 22.9b | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) | |
| 32.4b | (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x)) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))) | |
| 44.5b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2) | |
| 24.8b | (*.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) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) | |
| 33.3b | (*.f64 (+.f64 x -2) (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)))))) | |
| ▶ | 22.8b | (*.f64 (+.f64 x -2) (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))))) |
| 33.4b | (+.f64 (*.f64 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (*.f64 -131752537360500000000/553822718361107519809 z) (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z)))))) (+.f64 (*.f64 263505074721/47066876606 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 49698921037/117667191515 (*.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3))) (+.f64 (*.f64 -1000000000/23533438303 z) (*.f64 (-.f64 (*.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (*.f64 -131752537360500000000/553822718361107519809 z) (*.f64 156699607947/23533438303 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))) | |
| 27.4b | (/.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 5695 to 3935 computations (30.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.0b | (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| ✓ | 2.3b | (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| ✓ | 14.4b | (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))) |
| ✓ | 22.5b | (/.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)) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 3.0ms | z | @ | 0 | (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))) |
| 2.0ms | y | @ | -inf | (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 1.0ms | z | @ | inf | (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))) |
| 1.0ms | x | @ | inf | (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 1× | batch-egg-rewrite |
| 235× | add-sqr-sqrt_binary64 |
| 221× | add-exp-log_binary64 |
| 221× | add-log-exp_binary64 |
| 221× | log1p-expm1-u_binary64 |
| 221× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 117 |
| 1 | 475 | 117 |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
(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 z (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)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (/.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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))) 2) (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.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))) (sqrt.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) 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((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 2) 1) (/.f64 (cbrt.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 1) (/.f64 (sqrt.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 2) (pow.f64 (cbrt.f64 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| 1× | egg-herbie |
| 372× | associate-*l*_binary64 |
| 333× | distribute-rgt-in_binary64 |
| 323× | distribute-lft-in_binary64 |
| 222× | fma-def_binary64 |
| 190× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 2159 |
| 1 | 610 | 1978 |
| 2 | 1963 | 1935 |
| 1× | node limit |
| Inputs |
|---|
68759708208/23533438303 |
(+.f64 68759708208/23533438303 (*.f64 -98485844941261017554429/5538227183611075198090 x)) |
(+.f64 68759708208/23533438303 (+.f64 (*.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (pow.f64 x 2)) (*.f64 -98485844941261017554429/5538227183611075198090 x))) |
(+.f64 68759708208/23533438303 (+.f64 (*.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (pow.f64 x 2)) (+.f64 (*.f64 -98485844941261017554429/5538227183611075198090 x) (*.f64 -17889150432499445953349192645385751952773267137/30671960337288662035211708258660732739648100 (pow.f64 x 3))))) |
(/.f64 104109730557/25000000000 (pow.f64 x 2)) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))))) |
(/.f64 104109730557/25000000000 (pow.f64 x 2)) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))))) |
(*.f64 500000000/23533438303 z) |
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(+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 98485844941261017554429/5538227183611075198090 (+.f64 (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (+.f64 (*.f64 -156699607947/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (*.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3))) (+.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)) |
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(+.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 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))) |
(/.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 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 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 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 z (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(*.f64 500000000/23533438303 z) |
(+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 (+.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 -1 (*.f64 (+.f64 (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (+.f64 (*.f64 10835000562850000000/553822718361107519809 z) (*.f64 -156699607947/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.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 z (pow.f64 x 4)) |
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (/.f64 z (pow.f64 x 4))) |
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -46958894878783926720049/25000000000000000000 z) (*.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (/.f64 z (pow.f64 x 4)))) |
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -46958894878783926720049/25000000000000000000 z) (*.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 156699607947/500000000 z) (+.f64 (*.f64 -216700011257/5000000000 (+.f64 (*.f64 -46958894878783926720049/25000000000000000000 z) (*.f64 263505074721/1000000000 z))) (*.f64 -57101552658317326134297/5000000000000000000 z))) (pow.f64 x 7))) (/.f64 z (pow.f64 x 4))))) |
(/.f64 z (pow.f64 x 4)) |
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (/.f64 z (pow.f64 x 4))) |
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -46958894878783926720049/25000000000000000000 z) (*.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (/.f64 z (pow.f64 x 4)))) |
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (*.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 7))) (+.f64 (*.f64 216700011257/5000000000 (/.f64 (+.f64 (*.f64 -46958894878783926720049/25000000000000000000 z) (*.f64 263505074721/1000000000 z)) (pow.f64 x 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -46958894878783926720049/25000000000000000000 z) (*.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (+.f64 (*.f64 57101552658317326134297/5000000000000000000 (/.f64 z (pow.f64 x 7))) (/.f64 z (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 (+.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)))) |
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(/.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 |
|---|
68759708208/23533438303 |
(+.f64 68759708208/23533438303 (*.f64 -98485844941261017554429/5538227183611075198090 x)) |
(fma.f64 -98485844941261017554429/5538227183611075198090 x 68759708208/23533438303) |
(+.f64 68759708208/23533438303 (+.f64 (*.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (pow.f64 x 2)) (*.f64 -98485844941261017554429/5538227183611075198090 x))) |
(+.f64 68759708208/23533438303 (fma.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (*.f64 x x) (*.f64 -98485844941261017554429/5538227183611075198090 x))) |
(+.f64 (*.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (*.f64 x x)) (fma.f64 -98485844941261017554429/5538227183611075198090 x 68759708208/23533438303)) |
(+.f64 68759708208/23533438303 (*.f64 x (+.f64 (*.f64 33280670442061051951112783298616164/325833819333771727304361296103175 x) -98485844941261017554429/5538227183611075198090))) |
(+.f64 68759708208/23533438303 (+.f64 (*.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (pow.f64 x 2)) (+.f64 (*.f64 -98485844941261017554429/5538227183611075198090 x) (*.f64 -17889150432499445953349192645385751952773267137/30671960337288662035211708258660732739648100 (pow.f64 x 3))))) |
(+.f64 68759708208/23533438303 (fma.f64 33280670442061051951112783298616164/325833819333771727304361296103175 (*.f64 x x) (fma.f64 -98485844941261017554429/5538227183611075198090 x (*.f64 -17889150432499445953349192645385751952773267137/30671960337288662035211708258660732739648100 (pow.f64 x 3))))) |
(/.f64 104109730557/25000000000 (pow.f64 x 2)) |
(/.f64 104109730557/25000000000 (*.f64 x x)) |
(/.f64 (/.f64 104109730557/25000000000 x) x) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 104109730557/25000000000 x) x) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (/.f64 12723143231740136880149/125000000000000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 104109730557/25000000000 x) x) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 (pow.f64 x 3)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 5))))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 104109730557/25000000000 x) x) (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 5))))) |
(/.f64 104109730557/25000000000 (pow.f64 x 2)) |
(/.f64 104109730557/25000000000 (*.f64 x x)) |
(/.f64 (/.f64 104109730557/25000000000 x) x) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 104109730557/25000000000 x) x) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (/.f64 12723143231740136880149/125000000000000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 104109730557/25000000000 x) x) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 104109730557/25000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 104109730557/25000000000 (*.f64 x x)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 (pow.f64 x 3)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 5))))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 104109730557/25000000000 x) x) (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x 3)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 5))))) |
(*.f64 500000000/23533438303 z) |
(+.f64 (*.f64 500000000/23533438303 z) (*.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))) |
(fma.f64 500000000/23533438303 z (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x z))) |
(fma.f64 500000000/23533438303 z (*.f64 x (*.f64 z -78349803973500000000/553822718361107519809))) |
(*.f64 z (+.f64 500000000/23533438303 (*.f64 -78349803973500000000/553822718361107519809 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)))) |
(fma.f64 (-.f64 68759708208/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x z)))) |
(fma.f64 (*.f64 x x) (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (fma.f64 500000000/23533438303 z (*.f64 x (*.f64 z -78349803973500000000/553822718361107519809)))) |
(fma.f64 (*.f64 x x) (-.f64 68759708208/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (*.f64 z (+.f64 500000000/23533438303 (*.f64 -78349803973500000000/553822718361107519809 x)))) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 98485844941261017554429/5538227183611075198090 (+.f64 (*.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (+.f64 (*.f64 -156699607947/23533438303 (+.f64 (*.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (*.f64 65876268680250000000/553822718361107519809 z))) (*.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3))) (+.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 -1 (*.f64 (pow.f64 x 3) (+.f64 98485844941261017554429/5538227183611075198090 (fma.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z (fma.f64 -156699607947/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127) (*.f64 z 10835000562850000000/553822718361107519809))))) (fma.f64 500000000/23533438303 z (*.f64 -78349803973500000000/553822718361107519809 (*.f64 x z))))) |
(fma.f64 (*.f64 x x) (+.f64 68759708208/23533438303 (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (-.f64 (fma.f64 500000000/23533438303 z (*.f64 x (*.f64 z -78349803973500000000/553822718361107519809))) (*.f64 (pow.f64 x 3) (+.f64 98485844941261017554429/5538227183611075198090 (+.f64 (*.f64 z 1680930556212820117203213728917196250000000/306719603372886620352117082586607327396481) (*.f64 z -10067800657947609353103200000000/13033352773350869092174451844127)))))) |
(fma.f64 (*.f64 x x) (-.f64 68759708208/23533438303 (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (fma.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (*.f64 z 1444000590582107245885613830125326650000000/306719603372886620352117082586607327396481)) (pow.f64 x 3) (*.f64 z (+.f64 500000000/23533438303 (*.f64 -78349803973500000000/553822718361107519809 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 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 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 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 (+.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 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 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 (*.f64 x x) (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))))) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(*.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 (/.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 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) 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 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) (/.f64 z (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000))) |
(+.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))) |
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(+.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 -57101552658317326134297/5000000000000000000 y (fma.f64 156699607947/500000000 y (*.f64 y 8748454232390823417347856387591593/125000000000000000000000000000))) (pow.f64 x 7))) (/.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 (*.f64 y 40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (/.f64 (fma.f64 -57101552658317326134297/5000000000000000000 y (*.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 -216700011257/5000000000 (/.f64 y (pow.f64 x 5)) (*.f64 (/.f64 y (pow.f64 x 7)) 55534556578847326134297/5000000000000000000)) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 y -40371268010758926720049/25000000000000000000) (pow.f64 x 7)) (/.f64 y (pow.f64 x 4)))) (/.f64 y (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))) |
(+.f64 (+.f64 (/.f64 y (pow.f64 x 4)) (fma.f64 (/.f64 y (pow.f64 x 7)) 55534556578847326134297/5000000000000000000 (/.f64 -216700011257/5000000000 (/.f64 (pow.f64 x 5) y)))) (+.f64 (/.f64 (*.f64 y 40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (/.f64 (*.f64 y -8748454232390823417347856387591593/125000000000000000000000000000) (pow.f64 x 7)))) |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 2 | 164 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 163 | 10 | 173 |
| Status | Error | Program |
|---|---|---|
| 37.8b | (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) | |
| ▶ | 22.9b | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 37.2b | (*.f64 (+.f64 x -2) (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 (/.f64 104109730557/25000000000 x) x) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 24.8b | (*.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) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) | |
| 32.4b | (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x)) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))) | |
| 44.5b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2) | |
| 31.2b | (*.f64 (+.f64 x -2) (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 (fma.f64 -98485844941261017554429/5538227183611075198090 x 68759708208/23533438303) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 33.3b | (*.f64 (+.f64 x -2) (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)))))) | |
| ✓ | 22.8b | (*.f64 (+.f64 x -2) (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))))) |
| 27.4b | (/.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 11052 to 7342 computations (33.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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) | |
| 2.3b | (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) | |
| ✓ | 22.5b | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | -inf | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
| 2.0ms | x | @ | 0 | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 1.0ms | y | @ | 0 | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 1.0ms | y | @ | inf | (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 1× | batch-egg-rewrite |
| 259× | add-sqr-sqrt_binary64 |
| 244× | add-exp-log_binary64 |
| 244× | add-log-exp_binary64 |
| 244× | log1p-expm1-u_binary64 |
| 244× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 90 |
| 1 | 522 | 90 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (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 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) 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 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) 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 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.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 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) 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 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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 pow.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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 pow.f64 (pow.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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 (pow.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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 (*.f64 (log.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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 log1p.f64 (expm1.f64 (*.f64 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 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 (+.f64 x -2) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))))) |
| 1× | egg-herbie |
| 557× | fma-def_binary64 |
| 352× | associate-+l+_binary64 |
| 304× | associate-+r+_binary64 |
| 223× | distribute-rgt-in_binary64 |
| 202× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 3036 |
| 1 | 479 | 2737 |
| 2 | 1350 | 2646 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 500000000/23533438303 y) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)) x) (*.f64 500000000/23533438303 y)) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)) x) (*.f64 500000000/23533438303 y))) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 104109730557/1176671915150 (+.f64 (*.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)))))) (+.f64 (*.f64 10835000562850000000/553822718361107519809 y) (*.f64 263505074721/47066876606 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)) x) (*.f64 500000000/23533438303 y)))) |
(/.f64 104109730557/25000000000 x) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 x)) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 104109730557/25000000000 (/.f64 1 x))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 104109730557/25000000000 (/.f64 1 x)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 104109730557/25000000000 x) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 x)) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 104109730557/25000000000 (/.f64 1 x))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 104109730557/25000000000 (/.f64 1 x)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) 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)) x) (+.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 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) (+.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 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) (+.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)) |
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(/.f64 (*.f64 z (-.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 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.f64 x 2)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))) |
| Outputs |
|---|
(*.f64 500000000/23533438303 y) |
(+.f64 (*.f64 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)) x) (*.f64 500000000/23533438303 y)) |
(fma.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) x (*.f64 500000000/23533438303 y)) |
(fma.f64 500000000/23533438303 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) x)) |
(fma.f64 500000000/23533438303 y (*.f64 (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303) x)) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)) x) (*.f64 500000000/23533438303 y))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 65876268680250000000/553822718361107519809 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (*.f64 x x) (fma.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) x (*.f64 500000000/23533438303 y))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 y 65876268680250000000/553822718361107519809 (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (*.f64 x x) (fma.f64 500000000/23533438303 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) x))) |
(fma.f64 500000000/23533438303 y (*.f64 x (+.f64 (*.f64 x (+.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (*.f64 y -12277383565371752777404500000000/13033352773350869092174451844127)) (*.f64 y -65876268680250000000/553822718361107519809))) (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303)))) |
(+.f64 (*.f64 (-.f64 393497462077/235334383030 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 104109730557/1176671915150 (+.f64 (*.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (+.f64 (*.f64 65876268680250000000/553822718361107519809 y) (*.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)))))) (+.f64 (*.f64 10835000562850000000/553822718361107519809 y) (*.f64 263505074721/47066876606 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 68759708208/23533438303 (*.f64 78349803973500000000/553822718361107519809 y)) x) (*.f64 500000000/23533438303 y)))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 65876268680250000000/553822718361107519809 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (*.f64 x x) (fma.f64 (-.f64 104109730557/1176671915150 (fma.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (fma.f64 65876268680250000000/553822718361107519809 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (fma.f64 10835000562850000000/553822718361107519809 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 3) (fma.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) x (*.f64 500000000/23533438303 y)))) |
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 y 65876268680250000000/553822718361107519809 (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (*.f64 x x) (fma.f64 (-.f64 104109730557/1176671915150 (fma.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (fma.f64 y 65876268680250000000/553822718361107519809 (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (fma.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) 263505074721/47066876606 (*.f64 y 10835000562850000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 500000000/23533438303 y (*.f64 (-.f64 68759708208/23533438303 (*.f64 y 78349803973500000000/553822718361107519809)) x)))) |
(fma.f64 (-.f64 104109730557/1176671915150 (fma.f64 156699607947/23533438303 (+.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (*.f64 y -12277383565371752777404500000000/13033352773350869092174451844127)) (*.f64 y -65876268680250000000/553822718361107519809)) (fma.f64 y 10835000562850000000/553822718361107519809 (+.f64 9059266024571598504984/553822718361107519809 (*.f64 y -10322785475206410101946750000000/13033352773350869092174451844127))))) (pow.f64 x 3) (fma.f64 500000000/23533438303 y (*.f64 x (+.f64 (*.f64 x (+.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (*.f64 y -12277383565371752777404500000000/13033352773350869092174451844127)) (*.f64 y -65876268680250000000/553822718361107519809))) (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303))))) |
(/.f64 104109730557/25000000000 x) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 x)) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 104109730557/25000000000 x) (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x))) |
(+.f64 (/.f64 104109730557/25000000000 x) (/.f64 -12723143231740136880149/125000000000000000000 (*.f64 x x))) |
(+.f64 (/.f64 104109730557/25000000000 x) (/.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) x)) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 104109730557/25000000000 (/.f64 1 x))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (-.f64 (/.f64 104109730557/25000000000 x) (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)))) |
(+.f64 (/.f64 104109730557/25000000000 x) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) x))) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 104109730557/25000000000 (/.f64 1 x)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 y (pow.f64 x 4))) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 4))))) |
(+.f64 (/.f64 y (pow.f64 x 4)) (+.f64 (+.f64 (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 4))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)))) |
(/.f64 104109730557/25000000000 x) |
(-.f64 (*.f64 104109730557/25000000000 (/.f64 1 x)) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 104109730557/25000000000 x) (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x))) |
(+.f64 (/.f64 104109730557/25000000000 x) (/.f64 -12723143231740136880149/125000000000000000000 (*.f64 x x))) |
(+.f64 (/.f64 104109730557/25000000000 x) (/.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) x)) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 104109730557/25000000000 (/.f64 1 x))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (-.f64 (/.f64 104109730557/25000000000 x) (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)))) |
(+.f64 (/.f64 104109730557/25000000000 x) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) x))) |
(-.f64 (+.f64 (*.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 y (pow.f64 x 4)) (*.f64 104109730557/25000000000 (/.f64 1 x)))) (+.f64 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 y (pow.f64 x 4))) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 (*.f64 x x)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 4))))) |
(+.f64 (/.f64 y (pow.f64 x 4)) (+.f64 (+.f64 (+.f64 (/.f64 104109730557/25000000000 x) (/.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 4))) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 x (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))))) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) x)) |
(*.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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) (+.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 (/.f64 (*.f64 x (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))))) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) 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 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) x)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(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)) x (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(+.f64 (/.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) (+.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 (/.f64 (*.f64 x (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))))) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) (/.f64 y (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000))) |
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(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 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 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.f64 x 2)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))) |
(+.f64 (/.f64 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x 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 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 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 z (-.f64 x 2)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) |
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000)) |
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) |
(/.f64 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 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.f64 x 2)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))) |
(+.f64 (/.f64 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x 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 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 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 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.f64 x 2)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))) |
(+.f64 (/.f64 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x 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 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 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 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.f64 x 2)) (+.f64 23533438303/500000000 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))) |
(+.f64 (/.f64 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x 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 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 1 | 143 |
| Fresh | 0 | 8 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 143 | 10 | 153 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x)) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))) | |
| 43.1b | (*.f64 (*.f64 x (+.f64 x -2)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 37.2b | (*.f64 (+.f64 x -2) (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 (/.f64 104109730557/25000000000 x) x) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| ▶ | 24.8b | (*.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) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 37.8b | (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) | |
| 44.5b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2) | |
| 31.2b | (*.f64 (+.f64 x -2) (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 (fma.f64 -98485844941261017554429/5538227183611075198090 x 68759708208/23533438303) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 33.3b | (*.f64 (+.f64 x -2) (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)))))) | |
| ✓ | 22.8b | (*.f64 (+.f64 x -2) (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))))) |
| 27.4b | (/.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 7204 to 4950 computations (31.3% 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) (/.f64 1 (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) | |
| ✓ | 23.9b | (*.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))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -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) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 0.0ms | x | @ | 0 | (*.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))) |
| 0.0ms | z | @ | 0 | (*.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) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 0.0ms | y | @ | 0 | (*.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))) |
| 0.0ms | y | @ | -inf | (*.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))) |
| 1× | batch-egg-rewrite |
| 262× | add-sqr-sqrt_binary64 |
| 246× | add-cbrt-cube_binary64 |
| 246× | add-exp-log_binary64 |
| 246× | add-log-exp_binary64 |
| 246× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 76 |
| 1 | 536 | 76 |
| 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) (/.f64 1 (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) (/.f64 1 (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 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) (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 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 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 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 log1p.f64 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.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)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.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))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.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))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.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)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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)))))))) |
| 1× | egg-herbie |
| 519× | fma-def_binary64 |
| 284× | distribute-rgt-in_binary64 |
| 267× | distribute-lft-in_binary64 |
| 266× | associate-+l+_binary64 |
| 222× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 3931 |
| 1 | 448 | 3352 |
| 2 | 1282 | 3214 |
| 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)))) |
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(+.f64 (*.f64 z (-.f64 (/.f64 x (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (*.f64 2 (/.f64 1 (+.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) (*.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 z (-.f64 (/.f64 x (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (*.f64 2 (/.f64 1 (+.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) (*.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 z (-.f64 (/.f64 x (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (*.f64 2 (/.f64 1 (+.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) (*.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 z (-.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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))) |
| 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 -78349803973500000000/553822718361107519809 z)) 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 -78349803973500000000/553822718361107519809 z)) (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 (+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 x (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))))))) |
(+.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 -78349803973500000000/553822718361107519809 z)) (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) (*.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 -78349803973500000000/553822718361107519809 z)) (*.f64 z 65876268680250000000/553822718361107519809))) (*.f64 x x) (fma.f64 500000000/23533438303 z (*.f64 (+.f64 (*.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 x (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (*.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127))))))))) |
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 (/.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 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))))) |
(+.f64 (+.f64 104109730557/25000000000 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 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 104109730557/25000000000 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 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 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 -12723143231740136880149/125000000000000000000 x)) (-.f64 104109730557/25000000000 (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3)))) |
(/.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)) |
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(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 (*.f64 z (+.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x y) (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 (*.f64 z (+.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x y) (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
(/.f64 (*.f64 z (-.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) |
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000)) |
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z)) |
(/.f64 (*.f64 z (+.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x y) (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 (*.f64 z (+.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x y) (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 (*.f64 z (+.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 z (-.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 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) 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 (fma.f64 (+.f64 4297481763/31250000 (*.f64 x (+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000)))) x y) (/.f64 (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000) (*.f64 x (+.f64 x -2)))) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (+.f64 156699607947/500000000 (*.f64 x (+.f64 263505074721/1000000000 (*.f64 x (+.f64 x 216700011257/5000000000))))) x 23533438303/500000000))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)) (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 141 | 0 | 141 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 141 | 10 | 151 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x)) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))) | |
| 43.1b | (*.f64 (*.f64 x (+.f64 x -2)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) | |
| 37.2b | (*.f64 (+.f64 x -2) (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 (/.f64 104109730557/25000000000 x) x) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| ✓ | 24.8b | (*.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) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) |
| 37.8b | (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) | |
| 44.5b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2) | |
| 31.2b | (*.f64 (+.f64 x -2) (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 (fma.f64 -98485844941261017554429/5538227183611075198090 x 68759708208/23533438303) (*.f64 x x) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) | |
| 33.3b | (*.f64 (+.f64 x -2) (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)))))) | |
| ✓ | 22.8b | (*.f64 (+.f64 x -2) (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))))) |
| 27.4b | (/.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 4961 to 3446 computations (30.5% saved)
Total -63.3b remaining (-10618.2%)
Threshold costs -63.3b (-10618.2%)
Compiled 2678 to 1833 computations (31.6% saved)
| 2× | binary-search |
2 calls:
| 42.0ms | x |
| 42.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
2.5215728630517518e+60 | ∈ [ | 2.5215728630517518e+60 | , | 1.338074894853768e+64 | ] | |
-3.3694724817171055e+42 | ∈ [ | -3.3694724817171055e+42 | , | -3.828323048477451e+37 | ] | |
Compiled 45 to 33 computations (26.7% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | distribute-neg-in_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 150 |
| 1 | 50 | 150 |
| 2 | 60 | 150 |
| 3 | 68 | 150 |
| 4 | 71 | 150 |
| 5 | 72 | 150 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -3369472481717105530868987526501834734698496) (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))) (if (<=.f64 x 2521572863051751756221697597004401276303365443762909530292224) (*.f64 (+.f64 x -2) (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 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))))) |
| Outputs |
|---|
(if (<=.f64 x -3369472481717105530868987526501834734698496) (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))) (if (<=.f64 x 2521572863051751756221697597004401276303365443762909530292224) (*.f64 (+.f64 x -2) (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 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 y (*.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))))) |
| 1× | fuel |
Compiled 603 to 393 computations (34.8% saved)
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