Time bar (total: 12.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 75% | 25% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
Compiled 175 to 47 computations (73.1% saved)
| 1.8s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 967× | unswap-sqr |
| 647× | fma-def |
| 585× | +-commutative |
| 468× | *-commutative |
| 427× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 561 | 101 |
| 3 | 2584 | 90 |
| 4 | 4141 | 84 |
| 5 | 5141 | 84 |
| 6 | 6026 | 84 |
| 7 | 7627 | 84 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2909738639/10000000000)) (*.f64 (*.f64 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 70002721/5000000000)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 (*.f64 x (fma.f64 1789971/10000000000 (*.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 106015151/2500000000 (*.f64 x (pow.f64 x 3)) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 1789971/5000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (fma.f64 (*.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 x x) 3)) 1665589/2000000000 (fma.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (fma.f64 (*.f64 x (pow.f64 x 3)) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
(/.f64 (*.f64 x (+.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))) (*.f64 (pow.f64 (*.f64 x x) 4) (+.f64 2532017/5000000000 (*.f64 x (*.f64 x 1789971/10000000000)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 4) (+.f64 70002721/5000000000 (*.f64 x (*.f64 x 1665589/2000000000)))) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 x 4) 3) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) 1)))))) |
(/.f64 (*.f64 x (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) |
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) |
Compiled 175 to 47 computations (73.1% saved)
| 1× | egg-herbie |
| 967× | unswap-sqr |
| 647× | fma-def |
| 585× | +-commutative |
| 468× | *-commutative |
| 427× | distribute-lft-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 561 | 101 |
| 3 | 2584 | 90 |
| 4 | 4141 | 84 |
| 5 | 5141 | 84 |
| 6 | 6026 | 84 |
| 7 | 7627 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2909738639/10000000000)) (*.f64 (*.f64 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 70002721/5000000000)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 (*.f64 x (fma.f64 1789971/10000000000 (*.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 106015151/2500000000 (*.f64 x (pow.f64 x 3)) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 1789971/5000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (fma.f64 (*.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 x x) 3)) 1665589/2000000000 (fma.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (fma.f64 (*.f64 x (pow.f64 x 3)) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) |
(/.f64 (*.f64 x (+.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))) (*.f64 (pow.f64 (*.f64 x x) 4) (+.f64 2532017/5000000000 (*.f64 x (*.f64 x 1789971/10000000000)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 4) (+.f64 70002721/5000000000 (*.f64 x (*.f64 x 1665589/2000000000)))) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 x 4) 3) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) 1)))))) |
(/.f64 (*.f64 x (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) |
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) |
Compiled 234 to 91 computations (61.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (/.f64 x (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) |
| ▶ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 235 to 93 computations (60.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | 14.1b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 29.0b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
Compiled 1045 to 244 computations (76.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1.0ms | x | @ | 0 | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 512× | pow1-binary64 |
| 508× | add-cbrt-cube-binary64 |
| 508× | add-cube-cbrt-binary64 |
| 506× | add-log-exp-binary64 |
| 506× | add-exp-log-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 367 |
| 1 | 1074 | 367 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 1049934947/10000000000 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) (/.f64 1 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1049934947/10000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1049934947/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1049934947/10000000000 (*.f64 x x))) (cbrt.f64 (*.f64 1049934947/10000000000 (*.f64 x x)))) (cbrt.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1049934947/10000000000 (*.f64 x x))) (sqrt.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1049934947/10000000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1049934947/10000000000 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 555× | fma-def |
| 494× | associate-*r/ |
| 475× | distribute-lft-out |
| 431× | associate-/r* |
| 427× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 534 |
| 1 | 177 | 532 |
| 2 | 438 | 528 |
| 3 | 1029 | 528 |
| 4 | 3769 | 528 |
| 5 | 6602 | 528 |
| 6 | 7913 | 528 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 600041/2386628 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 600041/2386628 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 600041/2386628 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 600041/2386628 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
| ✓ | 0.2b | (*.f64 x 7715471019/10000000000) |
| ✓ | 14.8b | (/.f64 x (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) |
| ✓ | 25.5b | (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) |
Compiled 349 to 260 computations (25.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) |
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) |
| 1.0ms | x | @ | -inf | (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
| 1.0ms | x | @ | inf | (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
| 1× | batch-egg-rewrite |
| 385× | add-sqr-sqrt-binary64 |
| 370× | add-log-exp-binary64 |
| 370× | add-exp-log-binary64 |
| 370× | expm1-log1p-u-binary64 |
| 370× | log1p-expm1-u-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 177 |
| 1 | 832 | 177 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) |
(*.f64 x 7715471019/10000000000) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (/.f64 1 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) 2)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) (/.f64 1 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) (/.f64 1 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) (/.f64 1 (neg.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 1/2) (pow.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (neg.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) 2)) (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 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(pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 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1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 x 7715471019/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7715471019/10000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 7715471019/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 7715471019/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 7715471019/10000000000)) (cbrt.f64 (*.f64 (*.f64 x x) 59528493045028898361/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 59528493045028898361/100000000000000000000)) (cbrt.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 7715471019/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 7715471019/10000000000)) (sqrt.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 7715471019/10000000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 7715471019/10000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 7715471019/10000000000) 1/2) (pow.f64 (*.f64 x 7715471019/10000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x 7715471019/10000000000) (*.f64 (*.f64 x x) 59528493045028898361/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 7715471019/10000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 1/2) (pow.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) (*.f64 (pow.f64 x 4) 2909738639/10000000000)) 1) (-.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) 3) 1) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) (*.f64 (pow.f64 x 4) 2909738639/10000000000)) (-.f64 1 (*.f64 (*.f64 (pow.f64 x 4) 2909738639/10000000000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) (pow.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))) |
| 1× | egg-herbie |
| 666× | unswap-sqr |
| 572× | fma-def |
| 407× | associate-*r* |
| 342× | associate-*r/ |
| 332× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 507 |
| 1 | 184 | 487 |
| 2 | 465 | 485 |
| 3 | 1136 | 483 |
| 4 | 3635 | 483 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4)) (*.f64 833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 833192009/1250000000 (pow.f64 x 2)) (*.f64 1896885746738859378453363281/125000000000000000000000000000 (pow.f64 x 6))))) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (+.f64 (*.f64 85409195760635256467/1911686749272048537 (/.f64 1 (pow.f64 x 4))) (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2)))))) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (+.f64 (*.f64 85409195760635256467/1911686749272048537 (/.f64 1 (pow.f64 x 4))) (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
1 |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(*.f64 2909738639/10000000000 (pow.f64 x 4)) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(*.f64 2909738639/10000000000 (pow.f64 x 4)) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4)) (*.f64 833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) (*.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 833192009/1250000000 (*.f64 x x) (fma.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 833192009/1250000000 (pow.f64 x 2)) (*.f64 1896885746738859378453363281/125000000000000000000000000000 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4) (fma.f64 833192009/1250000000 (*.f64 x x) (*.f64 1896885746738859378453363281/125000000000000000000000000000 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) (fma.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4) (*.f64 1896885746738859378453363281/125000000000000000000000000000 (pow.f64 x 6))))) |
(fma.f64 833192009/1250000000 (*.f64 x x) (fma.f64 2232300135939761477/12500000000000000000 (pow.f64 x 4) (fma.f64 1896885746738859378453363281/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2232300135939761477/12500000000000000000) 833192009/1250000000) (fma.f64 1896885746738859378453363281/125000000000000000000000000000 (pow.f64 x 6) 1)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (/.f64 113464366360/1067998726947 (*.f64 x x))) |
(+.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x))) |
(fma.f64 x (*.f64 x 2) (+.f64 -600041/596657 (/.f64 (/.f64 -113464366360/1067998726947 x) x))) |
(+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (+.f64 (*.f64 85409195760635256467/1911686749272048537 (/.f64 1 (pow.f64 x 4))) (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (+.f64 (/.f64 113464366360/1067998726947 (*.f64 x x)) (/.f64 85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (-.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 (/.f64 -113464366360/1067998726947 x) x) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (/.f64 113464366360/1067998726947 (*.f64 x x))) |
(+.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x))) |
(fma.f64 x (*.f64 x 2) (+.f64 -600041/596657 (/.f64 (/.f64 -113464366360/1067998726947 x) x))) |
(+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x))) |
(-.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 600041/596657 (+.f64 (*.f64 85409195760635256467/1911686749272048537 (/.f64 1 (pow.f64 x 4))) (*.f64 113464366360/1067998726947 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (+.f64 (/.f64 113464366360/1067998726947 (*.f64 x x)) (/.f64 85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) -600041/596657) (-.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 (/.f64 -113464366360/1067998726947 x) x) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
(+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
1 |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(*.f64 2909738639/10000000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 2909738639/10000000000) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(*.f64 2909738639/10000000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 2909738639/10000000000) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
(+.f64 1 (*.f64 2909738639/10000000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 2909738639/10000000000)) |
(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1) |
Compiled 37202 to 15010 computations (59.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 10 | 329 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 320 | 11 | 331 |
| Status | Error | Program |
|---|---|---|
| 29.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) | |
| ▶ | 43.8b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 29.7b | (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) | |
| 29.5b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) | |
| ▶ | 33.8b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ▶ | 29.5b | (/.f64 1/2 x) |
| 43.9b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) | |
| 32.7b | x | |
| ✓ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ▶ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ▶ | 44.3b | (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
Compiled 1270 to 497 computations (60.9% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 1× | batch-egg-rewrite |
| 744× | pow1-binary64 |
| 702× | add-exp-log-binary64 |
| 702× | expm1-log1p-u-binary64 |
| 702× | log1p-expm1-u-binary64 |
| 689× | add-log-exp-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 159 | 15 |
| 2 | 1910 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -833192009/1250000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -833192009/1250000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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694208923861456081/1562500000000000000) (*.f64 -833192009/1250000000 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000)) (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -833192009/1250000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -833192009/1250000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 1756× | sqr-pow |
| 713× | pow-sqr |
| 578× | cube-prod |
| 381× | associate-*r* |
| 371× | fabs-mul |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 15 | 15 |
| 2 | 32 | 15 |
| 3 | 58 | 15 |
| 4 | 104 | 15 |
| 5 | 253 | 15 |
| 6 | 791 | 15 |
| 7 | 1174 | 15 |
| 8 | 1254 | 15 |
| 9 | 1391 | 15 |
| 10 | 1553 | 15 |
| 11 | 1792 | 15 |
| 12 | 2105 | 15 |
| 13 | 2500 | 15 |
| 14 | 2973 | 15 |
| 15 | 3512 | 15 |
| 16 | 4152 | 15 |
| 17 | 4373 | 15 |
| 18 | 4569 | 15 |
| 19 | 4709 | 15 |
| 20 | 4795 | 15 |
| 21 | 4853 | 15 |
| 22 | 5743 | 15 |
| 23 | 6793 | 15 |
| 24 | 7095 | 15 |
| 25 | 7389 | 15 |
| 26 | 7521 | 15 |
| 27 | 7531 | 15 |
| 28 | 7531 | 15 |
| 29 | 7531 | 15 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| Outputs |
|---|
x |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (*.f64 x 2) -600041/596657) |
| ✓ | 15.1b | (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
| 1.0ms | x | @ | inf | (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
| 0.0ms | x | @ | -inf | (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
| 0.0ms | x | @ | -inf | (fma.f64 x (*.f64 x 2) -600041/596657) |
| 0.0ms | x | @ | inf | (fma.f64 x (*.f64 x 2) -600041/596657) |
| 1× | batch-egg-rewrite |
| 730× | pow1-binary64 |
| 681× | add-exp-log-binary64 |
| 681× | expm1-log1p-u-binary64 |
| 681× | log1p-expm1-u-binary64 |
| 667× | add-log-exp-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 148 | 19 |
| 2 | 1799 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 x (*.f64 x 2) -600041/596657))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657))) (sqrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 x (*.f64 x 2) -600041/596657) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x 2) -600041/596657) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -600041/596657 (*.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 2) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 2) 1) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 2) -600041/596657)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 2) -600041/596657) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 2) -600041/596657))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) (sqrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 2) 3) -216044283025868921/212409638808005393) (+.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) (-.f64 360049201681/355999575649 (*.f64 (*.f64 (*.f64 x x) 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 2) -600041/596657) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 2) -600041/596657) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 2) -600041/596657) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 2) -600041/596657) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 2) -600041/596657))))) |
| 1× | egg-herbie |
| 853× | associate-*r/ |
| 572× | associate-*r* |
| 528× | fma-def |
| 453× | associate-/r/ |
| 381× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 285 |
| 1 | 113 | 285 |
| 2 | 259 | 285 |
| 3 | 544 | 285 |
| 4 | 1220 | 285 |
| 5 | 3803 | 285 |
| 6 | 5974 | 285 |
| 7 | 6353 | 285 |
| 8 | 7042 | 285 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -596657/600041 x) |
(+.f64 (*.f64 -711999151298/360049201681 (pow.f64 x 3)) (*.f64 -596657/600041 x)) |
(+.f64 (*.f64 -711999151298/360049201681 (pow.f64 x 3)) (+.f64 (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5)) (*.f64 -596657/600041 x))) |
(+.f64 (*.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7)) (+.f64 (*.f64 -711999151298/360049201681 (pow.f64 x 3)) (+.f64 (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5)) (*.f64 -596657/600041 x)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))) (*.f64 216044283025868921/3398554220928086288 (/.f64 1 (pow.f64 x 7)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))) (*.f64 216044283025868921/3398554220928086288 (/.f64 1 (pow.f64 x 7)))))) |
-600041/596657 |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
| Outputs |
|---|
(*.f64 -596657/600041 x) |
(+.f64 (*.f64 -711999151298/360049201681 (pow.f64 x 3)) (*.f64 -596657/600041 x)) |
(fma.f64 -711999151298/360049201681 (pow.f64 x 3) (*.f64 -596657/600041 x)) |
(fma.f64 -596657/600041 x (*.f64 -711999151298/360049201681 (pow.f64 x 3))) |
(*.f64 x (fma.f64 -711999151298/360049201681 (*.f64 x x) -596657/600041)) |
(*.f64 x (fma.f64 x (*.f64 x -711999151298/360049201681) -596657/600041)) |
(+.f64 (*.f64 -711999151298/360049201681 (pow.f64 x 3)) (+.f64 (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5)) (*.f64 -596657/600041 x))) |
(fma.f64 -711999151298/360049201681 (pow.f64 x 3) (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (*.f64 -596657/600041 x))) |
(fma.f64 -711999151298/360049201681 (pow.f64 x 3) (fma.f64 -596657/600041 x (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5)))) |
(fma.f64 -596657/600041 x (fma.f64 -711999151298/360049201681 (pow.f64 x 3) (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5)))) |
(fma.f64 -596657/600041 x (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (*.f64 -711999151298/360049201681 (pow.f64 x 3)))) |
(fma.f64 x (fma.f64 x (*.f64 x -711999151298/360049201681) -596657/600041) (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5))) |
(+.f64 (*.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7)) (+.f64 (*.f64 -711999151298/360049201681 (pow.f64 x 3)) (+.f64 (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5)) (*.f64 -596657/600041 x)))) |
(fma.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7) (fma.f64 -711999151298/360049201681 (pow.f64 x 3) (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (*.f64 -596657/600041 x)))) |
(fma.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7) (fma.f64 -711999151298/360049201681 (pow.f64 x 3) (fma.f64 -596657/600041 x (*.f64 -849638555232021572/216044283025868921 (pow.f64 x 5))))) |
(fma.f64 -711999151298/360049201681 (pow.f64 x 3) (fma.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7) (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (*.f64 -596657/600041 x)))) |
(fma.f64 x (fma.f64 -711999151298/360049201681 (*.f64 x x) -596657/600041) (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (*.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7)))) |
(fma.f64 -596657/600041 x (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (fma.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7) (*.f64 -711999151298/360049201681 (pow.f64 x 3))))) |
(fma.f64 x (fma.f64 x (*.f64 x -711999151298/360049201681) -596657/600041) (fma.f64 -849638555232021572/216044283025868921 (pow.f64 x 5) (*.f64 -1013885582898144590169608/129635427631125413225761 (pow.f64 x 7)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 360049201681/2847996605192 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))) (*.f64 216044283025868921/3398554220928086288 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (+.f64 (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7)) (/.f64 1/2 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 360049201681/2847996605192 (pow.f64 x 5))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 360049201681/2847996605192 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 360049201681/2847996605192 (/.f64 1 (pow.f64 x 5))) (*.f64 216044283025868921/3398554220928086288 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (+.f64 (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7)) (/.f64 1/2 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 360049201681/2847996605192 (pow.f64 x 5))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 360049201681/2847996605192 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 216044283025868921/3398554220928086288 (pow.f64 x 7))))) |
-600041/596657 |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x (*.f64 x 2) -600041/596657) | |
| ✓ | 0.4b | (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)) |
| ✓ | 0.6b | (/.f64 -113464366360/1067998726947 (*.f64 x x)) |
| ✓ | 14.8b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
Compiled 81 to 53 computations (34.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 1.0ms | x | @ | 0 | (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)) |
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 1.0ms | x | @ | 0 | (/.f64 -113464366360/1067998726947 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 1× | batch-egg-rewrite |
| 633× | associate-/l* |
| 441× | associate-/r/ |
| 193× | associate-+l+ |
| 186× | add-sqr-sqrt-binary64 |
| 178× | add-log-exp-binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 376 | 41 |
| 2 | 5278 | 41 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))) (cbrt.f64 (/.f64 7294730720478515465496021510618865322089/3654546227342332167609482832483840369 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7294730720478515465496021510618865322089/3654546227342332167609482832483840369 (pow.f64 x 8))) (cbrt.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -85409195760635256467/1911686749272048537) (*.f64 x x)) (/.f64 (sqrt.f64 -85409195760635256467/1911686749272048537) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) -85409195760635256467/1911686749272048537)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 85409195760635256467/1911686749272048537 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))) (/.f64 -85409195760635256467/1911686749272048537 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 x 4))) 85409195760635256467/1911686749272048537)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -85409195760635256467/1911686749272048537 (neg.f64 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 x 4) -1911686749272048537/85409195760635256467))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 85409195760635256467/1911686749272048537 (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -85409195760635256467/1911686749272048537 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (pow.f64 x 4) -1911686749272048537/85409195760635256467)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -85409195760635256467/1911686749272048537) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1911686749272048537/85409195760635256467) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -623037084126469393131944772985633450070766596510699075199563/6986347597412491846122846201968542981952415229527990153 (pow.f64 (pow.f64 x -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 7294730720478515465496021510618865322089/3654546227342332167609482832483840369 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -85409195760635256467/1911686749272048537) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (expm1.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -623037084126469393131944772985633450070766596510699075199563/6986347597412491846122846201968542981952415229527990153 (pow.f64 (pow.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4)))))))) |
| 1× | egg-herbie |
| 948× | fma-def |
| 838× | associate-*r/ |
| 457× | associate-*r* |
| 453× | associate-/r/ |
| 425× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 294 |
| 1 | 118 | 294 |
| 2 | 262 | 294 |
| 3 | 541 | 294 |
| 4 | 1151 | 294 |
| 5 | 3448 | 294 |
| 6 | 6067 | 294 |
| 7 | 6501 | 294 |
| 8 | 7268 | 294 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)) |
(+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))) |
(+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)))) |
(+.f64 (*.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11)) (+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)) |
(+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))) |
(fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))) |
(fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7))) |
(+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)))) |
(fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)))) |
(fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)))) |
(fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)))) |
(+.f64 (*.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11)) (+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))))) |
(fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))))) |
(fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7))))) |
(fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7))))) |
(fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9))))) |
(fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (*.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
(/.f64 -113464366360/1067998726947 (pow.f64 x 2)) |
(/.f64 -113464366360/1067998726947 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) |
| ✓ | 14.1b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 29.0b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| ✓ | 30.7b | (cbrt.f64 (pow.f64 (*.f64 x x) 2)) |
Compiled 1193 to 355 computations (70.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (*.f64 x x) 2)) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 528× | pow1-binary64 |
| 524× | add-cube-cbrt-binary64 |
| 523× | add-cbrt-cube-binary64 |
| 521× | add-log-exp-binary64 |
| 521× | add-exp-log-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 374 |
| 1 | 1153 | 374 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 x x) 2)) |
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 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(*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))) (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 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(+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1049934947/10000000000) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2))))))) |
| 1× | egg-herbie |
| 555× | fma-def |
| 494× | associate-*r/ |
| 475× | distribute-lft-out |
| 433× | associate-/r* |
| 427× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 402 |
| 1 | 174 | 400 |
| 2 | 425 | 396 |
| 3 | 1011 | 396 |
| 4 | 3723 | 396 |
| 5 | 6565 | 396 |
| 6 | 7877 | 396 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 3321371254951887171/12500000000000000000 -833192009/1250000000) 1) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
Compiled 19726 to 10238 computations (48.1% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 7 | 438 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 435 | 14 | 449 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 43.8b | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) | |
| 32.7b | x | |
| ▶ | 52.3b | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 29.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) | |
| ▶ | 29.7b | (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 29.5b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) | |
| ✓ | 29.5b | (/.f64 1/2 x) |
| ▶ | 43.9b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| ✓ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 44.3b | (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
| 44.3b | (/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) | |
| ▶ | 33.8b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| 59.7b | (-.f64 (+.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 1) |
Compiled 1371 to 564 computations (58.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) |
| ✓ | 14.1b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 29.0b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 30.7b | (cbrt.f64 (pow.f64 (*.f64 x x) 2)) |
Compiled 1143 to 335 computations (70.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 0.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) |
| 1× | batch-egg-rewrite |
| 532× | pow1-binary64 |
| 526× | add-cube-cbrt-binary64 |
| 525× | add-cbrt-cube-binary64 |
| 525× | add-log-exp-binary64 |
| 525× | add-exp-log-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 365 |
| 1 | 1162 | 365 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) |
| Outputs |
|---|
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(*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2))))))) |
| 1× | egg-herbie |
| 555× | fma-def |
| 494× | associate-*r/ |
| 475× | distribute-lft-out |
| 433× | associate-/r* |
| 427× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 402 |
| 1 | 174 | 400 |
| 2 | 425 | 396 |
| 3 | 1011 | 396 |
| 4 | 3723 | 396 |
| 5 | 6565 | 396 |
| 6 | 7877 | 396 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 3321371254951887171/12500000000000000000 -833192009/1250000000) 1) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| ✓ | 0.1b | (*.f64 x -833192009/1250000000) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
Compiled 25 to 12 computations (52% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x -833192009/1250000000) |
| 0.0ms | x | @ | inf | (*.f64 x -833192009/1250000000) |
| 0.0ms | x | @ | -inf | (*.f64 x -833192009/1250000000) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
| 1× | batch-egg-rewrite |
| 793× | pow1-binary64 |
| 743× | add-exp-log-binary64 |
| 743× | expm1-log1p-u-binary64 |
| 743× | log1p-expm1-u-binary64 |
| 729× | add-log-exp-binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 1 | 155 | 19 |
| 2 | 2113 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
(*.f64 x -833192009/1250000000) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -833192009/1250000000) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 2) (*.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 x x) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x -833192009/1250000000))) (*.f64 x (sqrt.f64 (*.f64 x -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -833192009/1250000000)) (*.f64 (sqrt.f64 (*.f64 x -833192009/1250000000)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -833192009/1250000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 2)) (cbrt.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -833192009/1250000000))) (sqrt.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -833192009/1250000000) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -833192009/1250000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -833192009/1250000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) (pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 2) (cbrt.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -833192009/1250000000)) (sqrt.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -833192009/1250000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -833192009/1250000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -833192009/1250000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -833192009/1250000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x x)) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000)) (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -833192009/1250000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -833192009/1250000000) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -833192009/1250000000))) (*.f64 x (sqrt.f64 (*.f64 x -833192009/1250000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 1756× | sqr-pow |
| 713× | pow-sqr |
| 580× | cube-prod |
| 380× | associate-*r* |
| 371× | fabs-mul |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 219 |
| 1 | 20 | 219 |
| 2 | 36 | 219 |
| 3 | 66 | 219 |
| 4 | 124 | 219 |
| 5 | 279 | 219 |
| 6 | 827 | 219 |
| 7 | 1229 | 219 |
| 8 | 1309 | 219 |
| 9 | 1446 | 219 |
| 10 | 1608 | 219 |
| 11 | 1849 | 219 |
| 12 | 2162 | 219 |
| 13 | 2557 | 219 |
| 14 | 3030 | 219 |
| 15 | 3569 | 219 |
| 16 | 4209 | 219 |
| 17 | 4430 | 219 |
| 18 | 4626 | 219 |
| 19 | 4766 | 219 |
| 20 | 4854 | 219 |
| 21 | 4912 | 219 |
| 22 | 5802 | 219 |
| 23 | 6852 | 219 |
| 24 | 7154 | 219 |
| 25 | 7448 | 219 |
| 26 | 7580 | 219 |
| 27 | 7590 | 219 |
| 28 | 7590 | 219 |
| 29 | 7590 | 219 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 833192009/1250000000 (*.f64 x x) 1) |
| ✓ | 14.8b | (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
Compiled 21 to 11 computations (47.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 833192009/1250000000 (*.f64 x x) 1) |
| 1.0ms | x | @ | inf | (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 0.0ms | x | @ | 0 | (fma.f64 833192009/1250000000 (*.f64 x x) 1) |
| 1× | batch-egg-rewrite |
| 652× | pow1-binary64 |
| 608× | add-exp-log-binary64 |
| 607× | expm1-log1p-u-binary64 |
| 607× | log1p-expm1-u-binary64 |
| 595× | add-log-exp-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 140 | 19 |
| 2 | 1682 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2))) (/.f64 x (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 x (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2))) (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2))) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) (*.f64 833192009/1250000000 (*.f64 x x))) 1) (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) (*.f64 833192009/1250000000 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 833192009/1250000000 (*.f64 x x) 1))))) |
| 1× | egg-herbie |
| 689× | fma-def |
| 650× | associate-/r* |
| 595× | associate-*r* |
| 418× | distribute-lft-neg-in |
| 333× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 291 |
| 1 | 116 | 273 |
| 2 | 292 | 273 |
| 3 | 733 | 273 |
| 4 | 1849 | 273 |
| 5 | 6824 | 273 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) (fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (+.f64 (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (+.f64 (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))))) |
1 |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x (*.f64 x 2) -600041/596657) | |
| 0.6b | (/.f64 -113464366360/1067998726947 (*.f64 x x)) | |
| ✓ | 14.8b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
Compiled 48 to 28 computations (41.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 759× | associate-*l/ |
| 649× | associate-/r* |
| 554× | *-commutative |
| 409× | associate-/l* |
| 311× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 248 | 18 |
| 2 | 3321 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1168× | associate-/r/ |
| 777× | fma-def |
| 712× | unswap-sqr |
| 484× | sqr-pow |
| 473× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 210 |
| 1 | 107 | 210 |
| 2 | 238 | 210 |
| 3 | 506 | 210 |
| 4 | 953 | 210 |
| 5 | 2202 | 210 |
| 6 | 4753 | 210 |
| 7 | 6039 | 210 |
| 8 | 6282 | 210 |
| 9 | 6639 | 210 |
| 10 | 7075 | 210 |
| 11 | 7718 | 210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1067998726947/113464366360 (pow.f64 x 3)) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3)))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (+.f64 (*.f64 -1067998726947/113464366360 (pow.f64 x 3)) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
(*.f64 -1067998726947/113464366360 (pow.f64 x 3)) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 -1067998726947/113464366360 (pow.f64 x 3))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3)))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 -1067998726947/113464366360 (pow.f64 x 3)))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (+.f64 (*.f64 -1067998726947/113464366360 (pow.f64 x 3)) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(fma.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7))))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4)) | |
| 0.6b | (/.f64 -113464366360/1067998726947 (*.f64 x x)) | |
| ✓ | 14.8b | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| ✓ | 20.3b | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
Compiled 160 to 94 computations (41.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| 1× | batch-egg-rewrite |
| 250× | +-commutative |
| 244× | add-sqr-sqrt-binary64 |
| 234× | add-log-exp-binary64 |
| 234× | add-exp-log-binary64 |
| 234× | expm1-log1p-u-binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 61 |
| 1 | 496 | 35 |
| 2 | 7479 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 2)) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -600041/596657 (*.f64 x (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 x (*.f64 x 2) 600041/596657)) (neg.f64 (/.f64 360049201681/355999575649 (fma.f64 x (*.f64 x 2) 600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 360049201681/355999575649 (fma.f64 x (*.f64 x 2) 600041/596657))) (/.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 x (*.f64 x 2) 600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 x (*.f64 x 2) 600041/596657)) (/.f64 360049201681/355999575649 (fma.f64 x (*.f64 x 2) 600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 2) -600041/596657))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) 4 -360049201681/355999575649) (/.f64 1 (fma.f64 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-113464366360/1067998726947 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (fma.f64 -85409195760635256467/1911686749272048537 (pow.f64 x -4) (*.f64 -113464366360/1067998726947 (pow.f64 x -2))))))))))) |
| 1× | egg-herbie |
| 973× | fma-def |
| 845× | associate-*r/ |
| 519× | associate-*r* |
| 453× | associate-/r/ |
| 422× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 297 |
| 1 | 124 | 297 |
| 2 | 275 | 297 |
| 3 | 560 | 297 |
| 4 | 1183 | 297 |
| 5 | 3539 | 297 |
| 6 | 6185 | 297 |
| 7 | 6618 | 297 |
| 8 | 7381 | 297 |
| 1× | node limit |
| Inputs |
|---|
-600041/596657 |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)) |
(+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))) |
(+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)))) |
(+.f64 (*.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11)) (+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
-600041/596657 |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(*.f64 x (*.f64 2 x)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(*.f64 x (*.f64 2 x)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 2 x) -600041/596657) |
(*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)) |
(+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))) |
(fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))) |
(fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7))) |
(+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)))) |
(fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5)))) |
(fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)))) |
(fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)))) |
(fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)))) |
(+.f64 (*.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11)) (+.f64 (*.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9)) (+.f64 (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7)) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))))) |
(fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (*.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5))))) |
(fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7))))) |
(fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (fma.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (*.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7))))) |
(fma.f64 388259612634635645658490541192355720/7294730720478515465496021510618865322089 (pow.f64 x 7) (fma.f64 -1911686749272048537/85409195760635256467 (pow.f64 x 5) (fma.f64 313823286532617502404816814354687487327935636336086455499/623037084126469393131944772985633450070766596510699075199563 (pow.f64 x 9) (*.f64 -53445351000058704756965747915097529814492979319033911828092154239898424622562/53213096284293001332526833353303360306024260641900206336251438555664321711323921 (pow.f64 x 11))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
Compiled 24967 to 14515 computations (41.9% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 5 | 698 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 698 | 14 | 712 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 43.8b | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) | |
| ▶ | 29.7b | (/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
| 32.7b | x | |
| ✓ | 33.8b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| 52.3b | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) | |
| ▶ | 29.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ▶ | 29.5b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| ✓ | 29.5b | (/.f64 1/2 x) |
| ✓ | 43.9b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 44.3b | (/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) | |
| ▶ | 29.7b | (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
| ▶ | 43.9b | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| ✓ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 1197 to 507 computations (57.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 0.2b | (pow.f64 (*.f64 x x) 3) |
| ✓ | 0.2b | (pow.f64 (*.f64 x x) 2) |
| ✓ | 29.0b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
Compiled 636 to 349 computations (45.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 0.0ms | x | @ | inf | (pow.f64 (*.f64 x x) 3) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 x x) 3) |
| 1× | batch-egg-rewrite |
| 519× | pow1-binary64 |
| 516× | add-log-exp-binary64 |
| 516× | add-exp-log-binary64 |
| 516× | expm1-log1p-u-binary64 |
| 516× | log1p-expm1-u-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 157 |
| 1 | 1094 | 157 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(pow.f64 (*.f64 x x) 2) |
(pow.f64 (*.f64 x x) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))))) (/.f64 1 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (cbrt.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))) (cbrt.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))) (+.f64 (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)) (fma.f64 2532017/5000000000 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x x) 2)) (sqrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x x) 3)) (sqrt.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 3))))))) |
| 1× | egg-herbie |
| 692× | fma-def |
| 690× | sqr-pow |
| 530× | associate-/l* |
| 472× | associate-*r/ |
| 414× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 282 |
| 1 | 105 | 282 |
| 2 | 245 | 282 |
| 3 | 569 | 282 |
| 4 | 1170 | 282 |
| 5 | 2634 | 282 |
| 6 | 5383 | 282 |
| 7 | 5767 | 282 |
| 8 | 6120 | 282 |
| 9 | 6505 | 282 |
| 10 | 7021 | 282 |
| 11 | 7613 | 282 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 833192009/1250000000 (*.f64 x x)) |
| ✓ | 14.8b | (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
Compiled 28 to 15 computations (46.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
| 0.0ms | x | @ | inf | (*.f64 833192009/1250000000 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
| 0.0ms | x | @ | 0 | (*.f64 833192009/1250000000 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 855× | pow1-binary64 |
| 800× | add-exp-log-binary64 |
| 800× | expm1-log1p-u-binary64 |
| 800× | log1p-expm1-u-binary64 |
| 786× | add-log-exp-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 173 | 18 |
| 2 | 2251 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 833192009/1250000000)))) (/.f64 x (hypot.f64 1 (*.f64 x (sqrt.f64 833192009/1250000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4)) -1)) (fma.f64 833192009/1250000000 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (*.f64 578409327937854629793656729/1953125000000000000000000000 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4)) (-.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 833192009/1250000000)))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 x (sqrt.f64 833192009/1250000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (hypot.f64 1 (*.f64 x (sqrt.f64 833192009/1250000000)))) (hypot.f64 1 (*.f64 x (sqrt.f64 833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 833192009/1250000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 833192009/1250000000 (*.f64 x x))) (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 833192009/1250000000 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 833192009/1250000000)) (*.f64 x (sqrt.f64 833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 833192009/1250000000)) (*.f64 (*.f64 x (sqrt.f64 833192009/1250000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 833192009/1250000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 833192009/1250000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 833192009/1250000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 833192009/1250000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 833192009/1250000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 833192009/1250000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 578409327937854629793656729/1953125000000000000000000000 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 833192009/1250000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 578409327937854629793656729/1953125000000000000000000000 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 833192009/1250000000 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 679× | fma-def |
| 636× | associate-/r* |
| 601× | associate-*r* |
| 404× | distribute-lft-neg-in |
| 324× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 270 |
| 1 | 114 | 270 |
| 2 | 288 | 270 |
| 3 | 724 | 270 |
| 4 | 1839 | 270 |
| 5 | 6737 | 270 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) (fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (+.f64 (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1250000000/833192009 x) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))))) |
(-.f64 (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 -1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (+.f64 (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1250000000/833192009 x) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))))) |
(-.f64 (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 -1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) |
| 0.6b | (/.f64 -113464366360/1067998726947 (*.f64 x x)) | |
| ✓ | 14.8b | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
Compiled 53 to 28 computations (47.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) |
| 1× | batch-egg-rewrite |
| 851× | associate-/r* |
| 502× | associate-/l* |
| 487× | associate-/r/ |
| 283× | associate-/l/ |
| 149× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 262 | 26 |
| 2 | 3793 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))) 2) (cbrt.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))) (sqrt.f64 (/.f64 x (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657))) 2)) (/.f64 x (cbrt.f64 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))) (/.f64 x (sqrt.f64 (fma.f64 -113464366360/1067998726947 (pow.f64 x -2) (fma.f64 x (*.f64 x 2) -600041/596657)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 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-600041/596657) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (expm1.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 2) -600041/596657) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 2) -600041/596657)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 2) -600041/596657)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 2) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 2 -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x x) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 2)) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)) (cbrt.f64 (*.f64 x (*.f64 x 2))) -600041/596657)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)) -600041/596657))))) |
| 1× | egg-herbie |
| 839× | associate-*r/ |
| 638× | associate-*r* |
| 523× | fma-def |
| 453× | associate-/r/ |
| 389× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 297 |
| 1 | 120 | 297 |
| 2 | 274 | 297 |
| 3 | 585 | 297 |
| 4 | 1284 | 297 |
| 5 | 3913 | 297 |
| 6 | 6118 | 297 |
| 7 | 6509 | 297 |
| 8 | 7283 | 297 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1067998726947/113464366360 (pow.f64 x 3)) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3)))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (+.f64 (*.f64 -1067998726947/113464366360 (pow.f64 x 3)) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
-600041/596657 |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
| Outputs |
|---|
(*.f64 -1067998726947/113464366360 (pow.f64 x 3)) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 -1067998726947/113464366360 (pow.f64 x 3))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (*.f64 -1067998726947/113464366360 (pow.f64 x 3)))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 -1067998726947/113464366360 (pow.f64 x 3)))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)))) |
(+.f64 (*.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5)) (+.f64 (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7)) (+.f64 (*.f64 -1067998726947/113464366360 (pow.f64 x 3)) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(fma.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9) (fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7))))) |
(fma.f64 -1067998726947/113464366360 (pow.f64 x 3) (fma.f64 -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow.f64 x 7) (fma.f64 1147090428719949276190017/12874162433476299649600 (pow.f64 x 5) (*.f64 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow.f64 x 9))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 920465936497689803/10195662662784258864 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) (/.f64 920465936497689803/10195662662784258864 (pow.f64 x 7))) |
-600041/596657 |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 x (*.f64 x 2)) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
(-.f64 (*.f64 2 (pow.f64 x 2)) 600041/596657) |
(fma.f64 2 (*.f64 x x) -600041/596657) |
(fma.f64 x (*.f64 x 2) -600041/596657) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1) |
| ✓ | 0.0b | (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 0.1b | (fma.f64 833192009/1250000000 (*.f64 x x) 1) | |
| ✓ | 14.8b | (/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
Compiled 43 to 27 computations (37.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
| 0.0ms | x | @ | inf | (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 0.0ms | x | @ | 0 | (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 740× | associate-*r/ |
| 558× | associate-*l/ |
| 461× | associate-/r* |
| 388× | *-commutative |
| 366× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 203 | 29 |
| 2 | 2871 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
(+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
(-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (sqrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3) (/.f64 x (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3)) (/.f64 x (+.f64 -1 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 1 (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 x (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) -1)) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 3))) (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 3))) (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (-.f64 1 (*.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) -1)) (*.f64 x (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 3))) (*.f64 x (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (/.f64 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833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 3))) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) -1)) (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(*.f64 x 833192009/1250000000)) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2) (+.f64 (*.f64 x (*.f64 x 833192009/1250000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 833192009/1250000000 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000))) 2)) (cbrt.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000)))) (sqrt.f64 (+.f64 2 (*.f64 x (*.f64 x 833192009/1250000000)))) -1))))) |
| 1× | egg-herbie |
| 699× | fma-def |
| 643× | associate-/r* |
| 599× | associate-*r* |
| 408× | distribute-lft-neg-in |
| 326× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 396 |
| 1 | 118 | 360 |
| 2 | 296 | 360 |
| 3 | 734 | 360 |
| 4 | 1852 | 360 |
| 5 | 6804 | 360 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
2 |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
1 |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 5)) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 5) (fma.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (+.f64 (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 -1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)))) |
(/.f64 1250000000/833192009 x) |
(-.f64 (*.f64 1250000000/833192009 (/.f64 1 x)) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (/.f64 1250000000/833192009 x) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1953125000000000000000000000/578409327937854629793656729 (/.f64 1 (pow.f64 x 5))) (*.f64 1250000000/833192009 (/.f64 1 x))) (+.f64 (*.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/.f64 1 (pow.f64 x 7))) (*.f64 1562500000000000000/694208923861456081 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (+.f64 (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (-.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (/.f64 2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)))) (/.f64 -1562500000000000000/694208923861456081 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5))) (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (/.f64 1250000000/833192009 x) (+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))))) |
(+.f64 (/.f64 1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1250000000/833192009 x) (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7))) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 1250000000/833192009 x) (/.f64 1562500000000000000/694208923861456081 (pow.f64 x 3))) (-.f64 (/.f64 -2441406250000000000000000000000000000/481926029968880926147728105491878561 (pow.f64 x 7)) (/.f64 -1953125000000000000000000000/578409327937854629793656729 (pow.f64 x 5)))) |
2 |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(fma.f64 x (*.f64 x 833192009/1250000000) 2) |
1 |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 833192009/1250000000)) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
(+.f64 1 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 833192009/1250000000) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) |
| ✓ | 14.1b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 22.8b | (log1p.f64 (pow.f64 (*.f64 x x) 2)) |
| ✓ | 29.0b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
Compiled 1108 to 310 computations (72% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (log1p.f64 (pow.f64 (*.f64 x x) 2)) |
| 1.0ms | x | @ | inf | (log1p.f64 (pow.f64 (*.f64 x x) 2)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 526× | pow1-binary64 |
| 521× | log1p-expm1-u-binary64 |
| 520× | expm1-log1p-u-binary64 |
| 519× | add-cbrt-cube-binary64 |
| 519× | add-cube-cbrt-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 369 |
| 1 | 1199 | 369 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(log1p.f64 (pow.f64 (*.f64 x x) 2)) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) |
| Outputs |
|---|
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(*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x x) 2)) (sqrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 2))))))) |
| 1× | egg-herbie |
| 836× | fma-neg |
| 568× | associate-/l* |
| 454× | associate-+r- |
| 319× | fma-def |
| 296× | +-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 686 |
| 1 | 266 | 674 |
| 2 | 670 | 664 |
| 3 | 1794 | 660 |
| 4 | 3857 | 660 |
| 5 | 7946 | 660 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(pow.f64 x 4) |
(+.f64 (pow.f64 x 4) (*.f64 -1/2 (pow.f64 x 8))) |
(+.f64 (pow.f64 x 4) (+.f64 (*.f64 -1/2 (pow.f64 x 8)) (*.f64 1/3 (pow.f64 x 12)))) |
(+.f64 (*.f64 -1/4 (pow.f64 x 16)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 -1/2 (pow.f64 x 8)) (*.f64 1/3 (pow.f64 x 12))))) |
(*.f64 -4 (log.f64 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 12))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(*.f64 -4 (log.f64 (/.f64 -1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 -1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 12))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 1 (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 (/.f64 1/2 x) x)) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))) (/.f64 600041/2386628 (pow.f64 x 4))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 (/.f64 1/2 x) x)) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))) (/.f64 600041/2386628 (pow.f64 x 4))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) |
(pow.f64 x 4) |
(+.f64 (pow.f64 x 4) (*.f64 -1/2 (pow.f64 x 8))) |
(+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/2)) |
(fma.f64 (pow.f64 x 8) -1/2 (pow.f64 x 4)) |
(+.f64 (pow.f64 x 4) (+.f64 (*.f64 -1/2 (pow.f64 x 8)) (*.f64 1/3 (pow.f64 x 12)))) |
(+.f64 (pow.f64 x 4) (fma.f64 -1/2 (pow.f64 x 8) (*.f64 1/3 (pow.f64 x 12)))) |
(+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) -1/2 (*.f64 1/3 (pow.f64 x 12)))) |
(fma.f64 (pow.f64 x 8) -1/2 (fma.f64 1/3 (pow.f64 x 12) (pow.f64 x 4))) |
(+.f64 (*.f64 -1/4 (pow.f64 x 16)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 -1/2 (pow.f64 x 8)) (*.f64 1/3 (pow.f64 x 12))))) |
(fma.f64 -1/4 (pow.f64 x 16) (+.f64 (pow.f64 x 4) (fma.f64 -1/2 (pow.f64 x 8) (*.f64 1/3 (pow.f64 x 12))))) |
(+.f64 (fma.f64 (pow.f64 x 8) -1/2 (*.f64 1/3 (pow.f64 x 12))) (fma.f64 -1/4 (pow.f64 x 16) (pow.f64 x 4))) |
(fma.f64 -1/4 (pow.f64 x 16) (fma.f64 (pow.f64 x 8) -1/2 (fma.f64 1/3 (pow.f64 x 12) (pow.f64 x 4)))) |
(*.f64 -4 (log.f64 (/.f64 1 x))) |
(*.f64 -4 (neg.f64 (log.f64 x))) |
(*.f64 4 (log.f64 x)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (neg.f64 (log.f64 x)))) |
(fma.f64 -4 (neg.f64 (log.f64 x)) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 4 (log.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (neg.f64 (log.f64 x)))) (/.f64 1/2 (pow.f64 x 8))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (fma.f64 -4 (neg.f64 (log.f64 x)) (/.f64 -1/2 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (fma.f64 4 (log.f64 x) (/.f64 -1/2 (pow.f64 x 8)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 12))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (/.f64 1/3 (pow.f64 x 12))) (/.f64 1/2 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 12)) (fma.f64 -4 (neg.f64 (log.f64 x)) (/.f64 -1/2 (pow.f64 x 8))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 4 (log.f64 x)) (+.f64 (/.f64 1/3 (pow.f64 x 12)) (/.f64 -1/2 (pow.f64 x 8))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 12)) (fma.f64 4 (log.f64 x) (/.f64 -1/2 (pow.f64 x 8))))) |
(*.f64 -4 (log.f64 (/.f64 -1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 -1 x)))) |
(fma.f64 -4 (log.f64 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -4 (log.f64 (/.f64 -1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (/.f64 1/2 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (fma.f64 -4 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 8)))) |
(+.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 8))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 12))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 12))) (/.f64 1/2 (pow.f64 x 8)))) |
(+.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1/3 (pow.f64 x 12)) (/.f64 -1/2 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 12))) (/.f64 -1/2 (pow.f64 x 8)))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (/.f64 1/2 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (/.f64 1/2 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
Compiled 53806 to 30961 computations (42.5% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1053 | 4 | 1057 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 1056 | 15 | 1071 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 29.7b | (/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) 1)) | |
| 43.8b | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) | |
| 43.9b | (*.f64 (/.f64 (/.f64 1/2 x) x) x) | |
| 44.3b | (/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) | |
| ✓ | 33.8b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| 52.3b | (/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 29.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 29.5b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (*.f64 x x))))))) | |
| ✓ | 29.5b | (/.f64 1/2 x) |
| ✓ | 43.9b | (/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| 32.7b | x | |
| ✓ | 29.7b | (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
| ✓ | 43.9b | (/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
| ✓ | 29.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 803 to 319 computations (60.3% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 (/.f64 1/2 x) x) x) |
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) 1)) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
(/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 1) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 1/2 x) |
2 calls:
| 56.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 40.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 1435 to 558 computations (61.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 370127.9740133331 | 60052103023513.6 |
| 55.0ms | -1295898356.0821414 | -8114956.239389586 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 (/.f64 1/2 x) x) x) |
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) 1)) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
(/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 1) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 1/2 x) |
2 calls:
| 41.0ms | x |
| 40.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 1135 to 381 computations (66.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 87.0ms | 370127.9740133331 | 60052103023513.6 |
| 52.0ms | -1295898356.0821414 | -8114956.239389586 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 (/.f64 1/2 x) x) x) |
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) 1)) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
(/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 1) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 1/2 x) |
2 calls:
| 72.0ms | x |
| 22.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 768 to 283 computations (63.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 370127.9740133331 | 60052103023513.6 |
| 101.0ms | -1295898356.0821414 | -8114956.239389586 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 (/.f64 1/2 x) x) x) |
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) 1)) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 (/.f64 -85409195760635256467/1911686749272048537 (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(/.f64 x (fma.f64 833192009/1250000000 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657)) |
(/.f64 x (-.f64 (+.f64 1 (fma.f64 833192009/1250000000 (*.f64 x x) 1)) 1)) |
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x (*.f64 x 2) -600041/596657))) 1) |
(/.f64 x (+.f64 (fma.f64 x (*.f64 x 2) -600041/596657) (/.f64 -113464366360/1067998726947 (*.f64 x x)))) |
(/.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
(/.f64 x (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 2) (*.f64 (*.f64 x x) 2)) 360049201681/355999575649) (-.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) (+.f64 (/.f64 -113464366360/1067998726947 (*.f64 x x)) (/.f64 -85409195760635256467/1911686749272048537 (pow.f64 x 4))))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 1/2 x) |
1 calls:
| 31.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 228 to 133 computations (41.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 0.4213765771501462 | 370127.9740133331 |
| 55.0ms | -1.8185978205647038 | -1.3780780901103235e-17 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 (/.f64 1/2 x) x) x) |
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 x (+.f64 (*.f64 (*.f64 x x) 2) -600041/596657)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 1/2 x) |
1 calls:
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 35 to 19 computations (45.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 0.4213765771501462 | 370127.9740133331 |
| 60.0ms | -1.8185978205647038 | -1.3780780901103235e-17 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 (/.f64 1/2 x) x) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
x |
(/.f64 1/2 x) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 17 to 8 computations (52.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 0.4213765771501462 | 370127.9740133331 |
| 50.0ms | -1.8185978205647038 | -1.3780780901103235e-17 |
Compiled 178 to 49 computations (72.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
x |
x |
x |
x |
| Outputs |
|---|
x |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.7b | 1 | x |
Compiled 7 to 2 computations (71.4% saved)
| 1× | egg-herbie |
| 35× | *-commutative |
| 28× | +-commutative |
| 1× | 1-exp-binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 854 |
| 1 | 183 | 854 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -5565841058312960000/4294967296) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (/.f64 1/2 x))) |
(if (<=.f64 x -5565841058312960000/4294967296) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -5565841058312960000/4294967296) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 7773025877344475136/18446744073709551616) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 7773025877344475136/18446744073709551616) (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 7773025877344475136/18446744073709551616) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -5565841058312960000/4294967296) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2))))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (/.f64 1/2 x))) |
(if (<=.f64 x -2717695829254375/2097152) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (/.f64 (*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (*.f64 x x) 3)))))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000) (*.f64 (*.f64 x x) 7715471019/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (*.f64 x x) 3)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (/.f64 1/2 x))) |
(if (<=.f64 x -5565841058312960000/4294967296) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2) (cbrt.f64 (pow.f64 (*.f64 x x) 2))))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -2717695829254375/2097152) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 2909738639/10000000000 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 2)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 70002721/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 1665589/2000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))) (/.f64 1/2 x))) |
(if (<=.f64 x -5565841058312960000/4294967296) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -2717695829254375/2097152) (/.f64 1/2 x) (if (<=.f64 x 3179375087444007/8589934592) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (*.f64 1665589/2000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 70002721/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))))))))) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 7773025877344475136/18446744073709551616) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3795422791672107/9007199254740992) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 7773025877344475136/18446744073709551616) (/.f64 x (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3795422791672107/9007199254740992) (/.f64 x (+.f64 1 (*.f64 (*.f64 x x) 833192009/1250000000))) (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 7773025877344475136/18446744073709551616) x (/.f64 1/2 x))) |
(if (<=.f64 x -2047559116757999/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3795422791672107/9007199254740992) x (/.f64 1/2 x))) |
x |
Compiled 582 to 240 computations (58.8% saved)
| 1× | egg-herbie |
| 967× | unswap-sqr |
| 647× | fma-def |
| 585× | +-commutative |
| 468× | *-commutative |
| 427× | distribute-lft-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 561 | 101 |
| 3 | 2584 | 90 |
| 4 | 4141 | 84 |
| 5 | 5141 | 84 |
| 6 | 6026 | 84 |
| 7 | 7627 | 84 |
| 1× | node limit |
Compiled 14349 to 5635 computations (60.7% saved)
Compiled 576 to 224 computations (61.1% saved)
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