Time bar (total: 6.8s)
| 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)
| 2.2s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 755× | unswap-sqr_binary64 |
| 705× | fma-def_binary64 |
| 691× | distribute-rgt-out_binary64 |
| 550× | +-commutative_binary64 |
| 437× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 590 | 101 |
| 3 | 3277 | 90 |
| 4 | 5280 | 84 |
| 5 | 6137 | 84 |
| 6 | 6665 | 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 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))))) (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2909738639/10000000000))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) 694555761/10000000000)) (*.f64 (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x x))) (+.f64 (*.f64 (*.f64 1665589/2000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x x)) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x (*.f64 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 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) (fma.f64 36322091/5000000000 (pow.f64 x 6) (*.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 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (/.f64 x (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 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) |
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) |
Compiled 175 to 47 computations (73.1% saved)
| 1× | egg-herbie |
| 755× | unswap-sqr_binary64 |
| 705× | fma-def_binary64 |
| 691× | distribute-rgt-out_binary64 |
| 550× | +-commutative_binary64 |
| 437× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 590 | 101 |
| 3 | 3277 | 90 |
| 4 | 5280 | 84 |
| 5 | 6137 | 84 |
| 6 | 6665 | 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 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))))) (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2909738639/10000000000))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) 694555761/10000000000)) (*.f64 (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x x))) (+.f64 (*.f64 (*.f64 1665589/2000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x x)) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x (*.f64 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 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) (fma.f64 36322091/5000000000 (pow.f64 x 6) (*.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 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (/.f64 x (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 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) |
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) |
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 |
|---|---|---|
| ▶ | 27.0b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) |
| ▶ | 27.0b | (*.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 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.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)))) | |
| 0.0b | (+.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)))) | |
| 0.0b | (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 0.0b | (+.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)))) | |
| ✓ | 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| ✓ | 0.3b | (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 12.8b | (*.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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 26.5b | (/.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))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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 106015151/2500000000 (*.f64 (*.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 | @ | -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× | batch-egg-rewrite |
| 512× | pow1_binary64 |
| 508× | add-cbrt-cube_binary64 |
| 506× | add-cube-cbrt_binary64 |
| 506× | add-exp-log_binary64 |
| 506× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 370 |
| 1 | 1071 | 370 |
| 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 106015151/2500000000 (*.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 (*.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 (+.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 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 (*.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))))))) (cbrt.f64 (/.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 1 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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 (+.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 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 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 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 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 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 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 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 pow.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))))))) |
((#(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 log1p.f64 (expm1.f64 (*.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)))))))) |
| 1× | egg-herbie |
| 744× | distribute-lft-out_binary64 |
| 612× | fma-def_binary64 |
| 518× | associate-*l*_binary64 |
| 497× | associate-*l/_binary64 |
| 444× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 180 | 568 |
| 2 | 422 | 564 |
| 3 | 1107 | 564 |
| 4 | 4179 | 564 |
| 5 | 6991 | 564 |
| 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))))) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (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 1 (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)))) |
(fma.f64 x (*.f64 -833192009/1250000000 x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 x (*.f64 -833192009/1250000000 x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) 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 1/2 (*.f64 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 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 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 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.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 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(/.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 1/2 (*.f64 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 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 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 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.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 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
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 (/.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 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.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 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 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(*.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 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))) | |
| 0.0b | (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)))))) | |
| 0.0b | (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)))) | |
| 0.0b | (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) | |
| ✓ | 0.2b | (*.f64 x 7715471019/10000000000) |
| ✓ | 0.2b | (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) |
| ✓ | 12.8b | (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) |
| ✓ | 26.5b | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))) |
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))) |
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))) |
| 1.0ms | x | @ | -inf | (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) |
| 1.0ms | x | @ | inf | (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) |
| 1× | batch-egg-rewrite |
| 381× | add-sqr-sqrt_binary64 |
| 366× | add-log-exp_binary64 |
| 366× | log1p-expm1-u_binary64 |
| 366× | expm1-log1p-u_binary64 |
| 361× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 177 |
| 1 | 825 | 177 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) |
(fma.f64 106015151/2500000000 (pow.f64 x 4) 1) |
(*.f64 x 7715471019/10000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))) (/.f64 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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))) (fma.f64 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1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) (sqrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 1789971/10000000000 (pow.f64 x 10) (fma.f64 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(fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 exp.f64 (log.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 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 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))))))) (#(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)))))) (*.f64 x (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (*.f64 x (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 pow.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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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(fma.f64 106015151/2500000000 (pow.f64 x 4) 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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))))))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))) (fma.f64 (pow.f64 x 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(fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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 (*.f64 106015151/2500000000 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) 2) (cbrt.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) (sqrt.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) 3) 1) (+.f64 (*.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 106015151/2500000000 (pow.f64 x 4))) (-.f64 1 (*.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 106015151/2500000000 (pow.f64 x 4))) 1) (-.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 7715471019/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 7715471019/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 7715471019/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 7715471019/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 59528493045028898361/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7715471019/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 7715471019/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 7715471019/10000000000)))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 x 7715471019/10000000000)) 1)))))) |
| 1× | egg-herbie |
| 740× | distribute-lft-out_binary64 |
| 622× | fma-def_binary64 |
| 484× | associate-*l/_binary64 |
| 478× | associate-*l*_binary64 |
| 440× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 555 |
| 1 | 182 | 535 |
| 2 | 422 | 531 |
| 3 | 1096 | 531 |
| 4 | 4073 | 531 |
| 5 | 6861 | 531 |
| 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))))) |
1 |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(*.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) |
| 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 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 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(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 (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))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) 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 1/2 (*.f64 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 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 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 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(/.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 1/2 (*.f64 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 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 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 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
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))) |
(/.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 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 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))))) |
1 |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 (pow.f64 x 4) 106015151/2500000000) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(+.f64 1 (*.f64 106015151/2500000000 (pow.f64 x 4))) |
(+.f64 1 (*.f64 (pow.f64 x 4) 106015151/2500000000)) |
(fma.f64 (pow.f64 x 4) 106015151/2500000000 1) |
(*.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) |
Compiled 12383 to 7432 computations (40% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 8 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 170 | 9 | 179 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.2b | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
| ▶ | 30.2b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ✓ | 27.0b | (*.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) |
| 33.6b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) | |
| ▶ | 32.9b | (/.f64 1/2 x) |
| 29.5b | x | |
| ▶ | 27.0b | (/.f64 (*.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)))) 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)))))) |
| 27.0b | (*.f64 (*.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 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))))))) x) | |
| ▶ | 30.2b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
Compiled 742 to 389 computations (47.6% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.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)))) | |
| 0.0b | (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) | |
| 0.0b | (+.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))))) | |
| 0.0b | (+.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)))) | |
| ✓ | 0.2b | (*.f64 (*.f64 x x) 7715471019/10000000000) |
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 0.3b | (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) |
| ✓ | 26.6b | (/.f64 (*.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)))) 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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.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)))) 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 | @ | 0 | (/.f64 (*.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)))) 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 (*.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)))) 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 x x) 7715471019/10000000000) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 7715471019/10000000000) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 516× | add-log-exp_binary64 |
| 516× | log1p-expm1-u_binary64 |
| 516× | expm1-log1p-u_binary64 |
| 515× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 160 |
| 1 | 1093 | 160 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.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)))) 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 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 (pow.f64 (*.f64 x x) 5))))) (+.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 x (+.f64 (+.f64 1 (+.f64 (fma.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 (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 x (+.f64 (+.f64 1 (+.f64 (fma.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 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 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5))))))))) (cbrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 (pow.f64 (*.f64 x x) 5))))) (+.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 (sqrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 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3)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.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))))))) (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 (pow.f64 (*.f64 x x) 5))))) (+.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)))))))) (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 (pow.f64 (*.f64 x x) 5))))) (+.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 log1p.f64 (expm1.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 (pow.f64 (*.f64 x x) 5))))) (+.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 expm1.f64 (log1p.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (fma.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 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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 pow.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))) (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 7715471019/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 7715471019/10000000000)) (*.f64 x (*.f64 x 7715471019/10000000000))) (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 7715471019/10000000000)))))))) |
| 1× | egg-herbie |
| 1200× | fma-def_binary64 |
| 595× | associate-/r/_binary64 |
| 492× | sqr-pow_binary64 |
| 455× | associate-/r*_binary64 |
| 345× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 354 |
| 1 | 111 | 354 |
| 2 | 252 | 354 |
| 3 | 590 | 354 |
| 4 | 1504 | 354 |
| 5 | 3875 | 354 |
| 6 | 5445 | 354 |
| 7 | 5872 | 354 |
| 8 | 6249 | 354 |
| 9 | 6616 | 354 |
| 10 | 7197 | 354 |
| 11 | 7958 | 354 |
| 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))))) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (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 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))) |
(/.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 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.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 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 106015151/2500000000 (pow.f64 x 4)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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× | batch-egg-rewrite |
| 505× | pow1_binary64 |
| 499× | add-sqr-sqrt_binary64 |
| 477× | add-log-exp_binary64 |
| 477× | log1p-expm1-u_binary64 |
| 477× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1325 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 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 pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(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 pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) 2)))) (#(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 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 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 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)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) | |
| 0.0b | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) | |
| ✓ | 0.0b | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
| ✓ | 0.1b | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
| 0.0ms | x | @ | inf | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
| 0.0ms | x | @ | 0 | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
| 0.0ms | x | @ | inf | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
| 0.0ms | x | @ | -inf | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 560× | pow1_binary64 |
| 520× | add-log-exp_binary64 |
| 519× | log1p-expm1-u_binary64 |
| 519× | expm1-log1p-u_binary64 |
| 509× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 134 | 19 |
| 2 | 1450 | 19 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
| Outputs |
|---|
((#(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)) (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 (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 (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 /.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 pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)))) (#(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 (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 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 log1p.f64 (expm1.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(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 +.f64 (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(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 pow.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 1)))) (#(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 (cbrt.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 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 sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))))))) (#(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)))))))) |
| 1× | egg-herbie |
| 969× | sqr-pow_binary64 |
| 573× | cube-prod_binary64 |
| 536× | unswap-sqr_binary64 |
| 518× | fma-def_binary64 |
| 459× | fabs-mul_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 192 |
| 1 | 30 | 174 |
| 2 | 56 | 174 |
| 3 | 127 | 174 |
| 4 | 318 | 174 |
| 5 | 1252 | 174 |
| 6 | 2712 | 174 |
| 7 | 3088 | 174 |
| 8 | 3349 | 174 |
| 9 | 3648 | 174 |
| 10 | 4037 | 174 |
| 11 | 4544 | 174 |
| 12 | 5173 | 174 |
| 13 | 5886 | 174 |
| 14 | 6365 | 174 |
| 15 | 6686 | 174 |
| 16 | 6958 | 174 |
| 17 | 7128 | 174 |
| 18 | 7220 | 174 |
| 19 | 7897 | 174 |
| 1× | node limit |
| Inputs |
|---|
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))) |
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 |
|---|
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 -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 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(+.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 -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 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(+.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 -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 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -833192009/1250000000 (pow.f64 x 2)) | |
| 0.0b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) | |
| ✓ | 0.0b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
| ✓ | 0.2b | (*.f64 -833192009/1250000000 (pow.f64 x 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
| 0.0ms | x | @ | inf | (*.f64 -833192009/1250000000 (pow.f64 x 2)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
| 0.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
| 1× | batch-egg-rewrite |
| 814× | pow1_binary64 |
| 761× | add-log-exp_binary64 |
| 760× | log1p-expm1-u_binary64 |
| 760× | expm1-log1p-u_binary64 |
| 747× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 187 | 18 |
| 2 | 2139 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)))) (#(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 (pow.f64 (*.f64 x x) 3) -578409327937854629793656729/1953125000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000))))) (#(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 (pow.f64 (*.f64 x x) 3) -578409327937854629793656729/1953125000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(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 +.f64 x (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(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 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -578409327937854629793656729/1953125000000000000000000000)) x) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) x) (+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -578409327937854629793656729/1953125000000000000000000000))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000))) (+.f64 1 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(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 (pow.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 2)))) (#(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 (pow.f64 (exp.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 cbrt.f64 (*.f64 (pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 3) (pow.f64 x 3)))))) (#(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 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)))))))) |
| 1× | egg-herbie |
| 1329× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 532× | cube-prod_binary64 |
| 470× | fabs-mul_binary64 |
| 435× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 87 |
| 1 | 18 | 87 |
| 2 | 36 | 87 |
| 3 | 75 | 87 |
| 4 | 144 | 87 |
| 5 | 357 | 87 |
| 6 | 1218 | 87 |
| 7 | 1929 | 87 |
| 8 | 2016 | 87 |
| 9 | 2149 | 87 |
| 10 | 2307 | 87 |
| 11 | 2537 | 87 |
| 12 | 2859 | 87 |
| 13 | 3280 | 87 |
| 14 | 3780 | 87 |
| 15 | 4375 | 87 |
| 16 | 5095 | 87 |
| 17 | 5416 | 87 |
| 18 | 5700 | 87 |
| 19 | 5922 | 87 |
| 20 | 6102 | 87 |
| 21 | 6184 | 87 |
| 22 | 7124 | 87 |
| 1× | node limit |
| Inputs |
|---|
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 |
|---|
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) |
Compiled 5450 to 3222 computations (40.9% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 5 | 137 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 137 | 9 | 146 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.0b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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 | x | |
| ✓ | 27.0b | (*.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) |
| ▶ | 33.6b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 32.9b | (/.f64 1/2 x) |
| 27.0b | (*.f64 (*.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 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))))))) x) | |
| ▶ | 30.2b | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| ▶ | 60.8b | (-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
| ▶ | 30.3b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
Compiled 750 to 400 computations (46.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) | |
| 0.0b | (+.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))))) | |
| 0.0b | (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) | |
| 0.0b | (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) | |
| 0.2b | (*.f64 (*.f64 x x) 7715471019/10000000000) | |
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 0.3b | (*.f64 106015151/2500000000 (pow.f64 x 4)) |
| ✓ | 26.6b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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 | @ | 0 | (*.f64 106015151/2500000000 (pow.f64 x 4)) |
| 0.0ms | x | @ | -inf | (*.f64 106015151/2500000000 (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 527× | pow1_binary64 |
| 525× | add-log-exp_binary64 |
| 525× | log1p-expm1-u_binary64 |
| 525× | expm1-log1p-u_binary64 |
| 523× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 144 |
| 1 | 1137 | 144 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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 106015151/2500000000 (pow.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5))))) (/.f64 1 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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))) (sqrt.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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)) (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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))) (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.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 (pow.f64 (*.f64 x x) 5)))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 x 4) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (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 pow.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 106015151/2500000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 106015151/2500000000 (pow.f64 x 4))) (*.f64 106015151/2500000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 106015151/2500000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 106015151/2500000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)))))))) |
| 1× | egg-herbie |
| 1893× | fma-def_binary64 |
| 624× | unswap-sqr_binary64 |
| 533× | times-frac_binary64 |
| 357× | sqr-pow_binary64 |
| 338× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 186 |
| 1 | 96 | 186 |
| 2 | 221 | 186 |
| 3 | 479 | 186 |
| 4 | 968 | 186 |
| 5 | 2327 | 186 |
| 6 | 5252 | 186 |
| 7 | 6219 | 186 |
| 8 | 6387 | 186 |
| 9 | 6633 | 186 |
| 10 | 6950 | 186 |
| 11 | 7447 | 186 |
| 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))))) |
| 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))) |
(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))) |
(/.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 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 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 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -833192009/1250000000 (*.f64 x x)) | |
| 0.0b | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) | |
| ✓ | 0.0b | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| ✓ | 0.2b | (*.f64 -833192009/1250000000 (*.f64 x x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| 0.0ms | x | @ | 0 | (*.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 -833192009/1250000000 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| 1× | batch-egg-rewrite |
| 800× | pow1_binary64 |
| 749× | add-log-exp_binary64 |
| 749× | log1p-expm1-u_binary64 |
| 749× | expm1-log1p-u_binary64 |
| 733× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 172 | 17 |
| 2 | 2159 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)))) (#(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 log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(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 +.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 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) (-.f64 (*.f64 x x) (*.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) (*.f64 x x)) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 -578409327937854629793656729/1953125000000000000000000000 (pow.f64 (*.f64 x x) 3))) x) (-.f64 (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4)) 1) (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4)) -1) x) (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 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 4)) 1) (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(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 pow.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))) 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 cbrt.f64 (*.f64 (pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))))) |
| 1× | egg-herbie |
| 969× | sqr-pow_binary64 |
| 573× | cube-prod_binary64 |
| 536× | unswap-sqr_binary64 |
| 518× | fma-def_binary64 |
| 461× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 171 |
| 1 | 26 | 171 |
| 2 | 52 | 171 |
| 3 | 120 | 171 |
| 4 | 316 | 171 |
| 5 | 1274 | 171 |
| 6 | 2733 | 171 |
| 7 | 3109 | 171 |
| 8 | 3369 | 171 |
| 9 | 3668 | 171 |
| 10 | 4057 | 171 |
| 11 | 4565 | 171 |
| 12 | 5194 | 171 |
| 13 | 5907 | 171 |
| 14 | 6386 | 171 |
| 15 | 6709 | 171 |
| 16 | 6983 | 171 |
| 17 | 7153 | 171 |
| 18 | 7245 | 171 |
| 19 | 7922 | 171 |
| 1× | node limit |
| Inputs |
|---|
(*.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)) |
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 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 x (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (/.f64 600041/2386628 (pow.f64 x 3)) | |
| 0.0b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) | |
| ✓ | 0.0b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 0.5b | (/.f64 600041/2386628 (pow.f64 x 3)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 0.0ms | x | @ | inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 914× | prod-diff_binary64 |
| 438× | log-prod_binary64 |
| 297× | fma-def_binary64 |
| 264× | pow2_binary64 |
| 184× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 219 | 18 |
| 2 | 2951 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 600041/2386628) x) (cbrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6))) (/.f64 (cbrt.f64 600041/2386628) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -600041/2386628 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 2386628/600041) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 2386628/600041) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 600041/2386628 (pow.f64 x -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (cbrt.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 2)) (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change 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| 1× | egg-herbie |
| 1028× | associate-/l*_binary64 |
| 911× | associate-*l/_binary64 |
| 585× | associate-/r/_binary64 |
| 449× | associate-*r/_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 132 |
| 1 | 31 | 132 |
| 2 | 51 | 132 |
| 3 | 83 | 132 |
| 4 | 164 | 132 |
| 5 | 464 | 132 |
| 6 | 2010 | 132 |
| 7 | 2785 | 132 |
| 8 | 2882 | 132 |
| 9 | 3015 | 132 |
| 10 | 3173 | 132 |
| 11 | 3415 | 132 |
| 12 | 7337 | 132 |
| 13 | 7869 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(/.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 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.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 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.3b | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) | |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| ✓ | 1.3b | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 1× | batch-egg-rewrite |
| 877× | pow1_binary64 |
| 829× | add-log-exp_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 815× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 204 | 7 |
| 2 | 2449 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) 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 -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 (*.f64 x x) (*.f64 x -833192009/1250000000))))) (#(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 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)))))) (#(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 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 1))))) (#(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 /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1)))))) (#(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 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) 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 (pow.f64 x 3)) -833192009/1250000000))))) (#(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 log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) -1)))) (#(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)))))))) |
| 1× | egg-herbie |
| 1328× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 530× | cube-prod_binary64 |
| 470× | fabs-mul_binary64 |
| 438× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 15 | 84 |
| 2 | 32 | 84 |
| 3 | 57 | 84 |
| 4 | 116 | 84 |
| 5 | 315 | 84 |
| 6 | 1143 | 84 |
| 7 | 1828 | 84 |
| 8 | 1915 | 84 |
| 9 | 2048 | 84 |
| 10 | 2206 | 84 |
| 11 | 2436 | 84 |
| 12 | 2758 | 84 |
| 13 | 3179 | 84 |
| 14 | 3679 | 84 |
| 15 | 4274 | 84 |
| 16 | 4996 | 84 |
| 17 | 5315 | 84 |
| 18 | 5599 | 84 |
| 19 | 5821 | 84 |
| 20 | 6001 | 84 |
| 21 | 6083 | 84 |
| 22 | 7023 | 84 |
| 23 | 7997 | 84 |
| 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)) |
| 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)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.7b | (-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) | |
| 0.1b | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) | |
| 0.0b | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) | |
| 0.0b | (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) | |
| ✓ | 0.0b | (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) |
| 0.0b | (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) | |
| 0.1b | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) | |
| ✓ | 2.7b | (-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
| 0.0ms | x | @ | 0 | (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) |
| 1× | batch-egg-rewrite |
| 912× | pow1_binary64 |
| 856× | add-log-exp_binary64 |
| 855× | log1p-expm1-u_binary64 |
| 855× | expm1-log1p-u_binary64 |
| 841× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 197 | 23 |
| 2 | 2528 | 23 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
(+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(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 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) x)))) (#(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 (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) x))))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) 2) (-.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 -833192009/1250000000 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x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))))) |
| 1× | egg-herbie |
| 1331× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 532× | cube-prod_binary64 |
| 473× | fabs-mul_binary64 |
| 447× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 188 |
| 1 | 27 | 188 |
| 2 | 50 | 188 |
| 3 | 108 | 188 |
| 4 | 182 | 188 |
| 5 | 415 | 188 |
| 6 | 1371 | 188 |
| 7 | 2128 | 188 |
| 8 | 2217 | 188 |
| 9 | 2351 | 188 |
| 10 | 2509 | 188 |
| 11 | 2741 | 188 |
| 12 | 3063 | 188 |
| 13 | 3484 | 188 |
| 14 | 3984 | 188 |
| 15 | 4579 | 188 |
| 16 | 5299 | 188 |
| 17 | 5618 | 188 |
| 18 | 5904 | 188 |
| 19 | 6126 | 188 |
| 20 | 6308 | 188 |
| 21 | 6392 | 188 |
| 22 | 7332 | 188 |
| 1× | node limit |
| Inputs |
|---|
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) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 1 (+.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 1 (+.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| 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)) 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) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(*.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(*.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
Compiled 9524 to 6399 computations (32.8% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 5 | 387 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 385 | 11 | 396 |
| Status | Error | Program |
|---|---|---|
| ▶ | 60.0b | (-.f64 (+.f64 x 1) 1) |
| 29.5b | x | |
| ✓ | 27.0b | (*.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) |
| ✓ | 33.6b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 32.9b | (/.f64 1/2 x) |
| ▶ | 27.0b | (*.f64 (*.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 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))))))) x) |
| ✓ | 30.2b | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| ▶ | 47.1b | (/.f64 1 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) |
| ▶ | 60.8b | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
| ✓ | 27.0b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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)))))) |
| ▶ | 61.6b | (/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 662 to 356 computations (46.2% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.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)))) | |
| 0.0b | (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) | |
| 0.0b | (+.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))))) | |
| 0.0b | (+.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)))) | |
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| 0.3b | (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) | |
| ✓ | 12.8b | (*.f64 (*.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 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))))))) x) |
| ✓ | 26.5b | (*.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 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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.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 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))))))) |
| 0.0ms | x | @ | inf | (*.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 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))))))) |
| 0.0ms | x | @ | -inf | (*.f64 (*.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 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))))))) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.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 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))))))) x) |
| 0.0ms | x | @ | 0 | (*.f64 (*.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 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))))))) x) |
| 1× | batch-egg-rewrite |
| 528× | pow1_binary64 |
| 525× | add-log-exp_binary64 |
| 525× | log1p-expm1-u_binary64 |
| 525× | expm1-log1p-u_binary64 |
| 524× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 283 |
| 1 | 1116 | 283 |
| 1× | node limit |
| Inputs |
|---|
(*.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 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))))))) |
(*.f64 (*.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 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))))))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) 1) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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)))))) (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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))))))) (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 pow.f64 (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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 log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 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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 exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 1 (+.f64 (fma.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 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000)) (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))))))))))))) |
| 1× | egg-herbie |
| 746× | distribute-lft-out_binary64 |
| 612× | fma-def_binary64 |
| 487× | associate-*l/_binary64 |
| 458× | associate-*l*_binary64 |
| 430× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 402 |
| 1 | 174 | 400 |
| 2 | 408 | 396 |
| 3 | 1063 | 396 |
| 4 | 4051 | 396 |
| 5 | 6835 | 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 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(fma.f64 x (*.f64 -833192009/1250000000 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) 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 x (*.f64 -833192009/1250000000 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 1/2 (*.f64 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 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 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.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 1/2 (*.f64 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 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 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.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 -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 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 1/2 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 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (/.f64 1/2 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.7b | (-.f64 (+.f64 x 1) 1) | |
| ✓ | 2.7b | (-.f64 (+.f64 x 1) 1) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 x 1) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 x 1) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 x 1) 1) |
| 1× | batch-egg-rewrite |
| 533× | pow1_binary64 |
| 502× | add-log-exp_binary64 |
| 502× | log1p-expm1-u_binary64 |
| 502× | expm1-log1p-u_binary64 |
| 494× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 1 | 116 | 1 |
| 2 | 1555 | 1 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x 1) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 12 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.7b | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) | |
| 0.2b | (*.f64 -833192009/1250000000 (*.f64 x x)) | |
| 0.0b | (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))) | |
| 0.0b | (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) | |
| ✓ | 0.0b | (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) |
| ✓ | 0.0b | (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))) |
| 0.2b | (*.f64 -833192009/1250000000 (*.f64 x x)) | |
| ✓ | 2.7b | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
| 0.0ms | x | @ | -inf | (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) |
| 1× | batch-egg-rewrite |
| 771× | fma-def_binary64 |
| 471× | log-prod_binary64 |
| 326× | pow-prod-down_binary64 |
| 301× | fma-neg_binary64 |
| 259× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 54 |
| 1 | 231 | 32 |
| 2 | 3249 | 27 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
(*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -833192009/1250000000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -833192009/1250000000) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -833192009/1250000000) 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -833192009/1250000000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -833192009/1250000000))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -833192009/1250000000))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) 2) (cbrt.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) (sqrt.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -833192009/1250000000) 1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -833192009/1250000000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (hypot.f64 1 (*.f64 x (sqrt.f64 -833192009/1250000000)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -833192009/1250000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x (*.f64 x -833192009/1250000000) 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x (*.f64 x -833192009/1250000000) 1) (sqrt.f64 x)) (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 1/3)))))) |
| 1× | egg-herbie |
| 1331× | sqr-pow_binary64 |
| 715× | pow-sqr_binary64 |
| 532× | cube-prod_binary64 |
| 473× | fabs-mul_binary64 |
| 447× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 275 |
| 1 | 27 | 275 |
| 2 | 50 | 275 |
| 3 | 108 | 275 |
| 4 | 182 | 275 |
| 5 | 415 | 275 |
| 6 | 1371 | 275 |
| 7 | 2128 | 275 |
| 8 | 2217 | 275 |
| 9 | 2351 | 275 |
| 10 | 2509 | 275 |
| 11 | 2741 | 275 |
| 12 | 3063 | 275 |
| 13 | 3484 | 275 |
| 14 | 3984 | 275 |
| 15 | 4579 | 275 |
| 16 | 5299 | 275 |
| 17 | 5618 | 275 |
| 18 | 5904 | 275 |
| 19 | 6126 | 275 |
| 20 | 6308 | 275 |
| 21 | 6392 | 275 |
| 22 | 7332 | 275 |
| 1× | node limit |
| Inputs |
|---|
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) |
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) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 1 (+.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 1 (+.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| 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)) 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) |
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) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(*.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(*.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 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x 1)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (/.f64 600041/2386628 (pow.f64 x 3)) | |
| 0.5b | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 600041/2386628 (pow.f64 x -3)) | |
| 0.1b | (/.f64 360049201681/5695993210384 (pow.f64 x 6)) | |
| 0.0b | (/.f64 1 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) | |
| 0.0b | (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) | |
| ✓ | 0.2b | (*.f64 600041/2386628 (pow.f64 x -3)) |
| ✓ | 0.6b | (/.f64 1/4 (*.f64 x x)) |
| ✓ | 14.2b | (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
| ✓ | 40.4b | (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) |
| 0.0ms | x | @ | 0 | (/.f64 1/4 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 624× | fma-def_binary64 |
| 352× | fma-neg_binary64 |
| 339× | expm1-udef_binary64 |
| 339× | log1p-udef_binary64 |
| 213× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 61 |
| 1 | 431 | 42 |
| 2 | 6107 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(/.f64 1/4 (*.f64 x x)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
| Outputs |
|---|
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(*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 360049201681/5695993210384 (pow.f64 x -6) (*.f64 -1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 360049201681/5695993210384 (pow.f64 x -6) (*.f64 -1/4 (pow.f64 x -2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 600041/2386628 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (pow.f64 x 6) 5695993210384/360049201681)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -360049201681/5695993210384) (sqrt.f64 (neg.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 360049201681/5695993210384 (pow.f64 x -6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3) 216044283025868921/13594216883712345152) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 360049201681/5695993210384 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3) 216044283025868921/13594216883712345152))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -3 (log.f64 x) (log.f64 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -3 (log.f64 x) (log.f64 600041/2386628)) 1)))))) |
| 1× | egg-herbie |
| 645× | fma-def_binary64 |
| 549× | times-frac_binary64 |
| 517× | unswap-sqr_binary64 |
| 374× | associate-*r/_binary64 |
| 344× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 525 |
| 1 | 144 | 513 |
| 2 | 354 | 513 |
| 3 | 918 | 513 |
| 4 | 2804 | 513 |
| 5 | 7558 | 513 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2386628/600041 (pow.f64 x 3)) |
(+.f64 (*.f64 -2847996605192/360049201681 (pow.f64 x 5)) (*.f64 2386628/600041 (pow.f64 x 3))) |
(+.f64 (*.f64 -2847996605192/360049201681 (pow.f64 x 5)) (+.f64 (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7)) (*.f64 2386628/600041 (pow.f64 x 3)))) |
(+.f64 (*.f64 -2847996605192/360049201681 (pow.f64 x 5)) (+.f64 (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7)) (+.f64 (*.f64 -4055542331592578360678432/129635427631125413225761 (pow.f64 x 9)) (*.f64 2386628/600041 (pow.f64 x 3))))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (*.f64 600041/596657 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (+.f64 (*.f64 600041/596657 (/.f64 1 x)) (*.f64 216044283025868921/849638555232021572 (/.f64 1 (pow.f64 x 5))))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (*.f64 600041/596657 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (+.f64 (*.f64 600041/596657 (/.f64 1 x)) (*.f64 216044283025868921/849638555232021572 (/.f64 1 (pow.f64 x 5))))) |
(/.f64 360049201681/5695993210384 (pow.f64 x 6)) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 2386628/600041 (pow.f64 x 3)) |
(+.f64 (*.f64 -2847996605192/360049201681 (pow.f64 x 5)) (*.f64 2386628/600041 (pow.f64 x 3))) |
(fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (*.f64 2386628/600041 (pow.f64 x 3))) |
(fma.f64 2386628/600041 (pow.f64 x 3) (*.f64 -2847996605192/360049201681 (pow.f64 x 5))) |
(+.f64 (*.f64 -2847996605192/360049201681 (pow.f64 x 5)) (+.f64 (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7)) (*.f64 2386628/600041 (pow.f64 x 3)))) |
(fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (fma.f64 3398554220928086288/216044283025868921 (pow.f64 x 7) (*.f64 2386628/600041 (pow.f64 x 3)))) |
(fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (fma.f64 2386628/600041 (pow.f64 x 3) (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7)))) |
(fma.f64 2386628/600041 (pow.f64 x 3) (fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7)))) |
(+.f64 (*.f64 -2847996605192/360049201681 (pow.f64 x 5)) (+.f64 (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7)) (+.f64 (*.f64 -4055542331592578360678432/129635427631125413225761 (pow.f64 x 9)) (*.f64 2386628/600041 (pow.f64 x 3))))) |
(fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (fma.f64 3398554220928086288/216044283025868921 (pow.f64 x 7) (fma.f64 -4055542331592578360678432/129635427631125413225761 (pow.f64 x 9) (*.f64 2386628/600041 (pow.f64 x 3))))) |
(fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (fma.f64 3398554220928086288/216044283025868921 (pow.f64 x 7) (fma.f64 2386628/600041 (pow.f64 x 3) (*.f64 -4055542331592578360678432/129635427631125413225761 (pow.f64 x 9))))) |
(fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (fma.f64 2386628/600041 (pow.f64 x 3) (fma.f64 -4055542331592578360678432/129635427631125413225761 (pow.f64 x 9) (*.f64 3398554220928086288/216044283025868921 (pow.f64 x 7))))) |
(fma.f64 2386628/600041 (pow.f64 x 3) (fma.f64 -2847996605192/360049201681 (pow.f64 x 5) (fma.f64 3398554220928086288/216044283025868921 (pow.f64 x 7) (*.f64 -4055542331592578360678432/129635427631125413225761 (pow.f64 x 9))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 600041/596657 x)) |
(fma.f64 x 2 (/.f64 -600041/596657 x)) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (*.f64 600041/596657 (/.f64 1 x))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (-.f64 (*.f64 x 2) (/.f64 600041/596657 x))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -600041/596657 x))) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (+.f64 (*.f64 600041/596657 (/.f64 1 x)) (*.f64 216044283025868921/849638555232021572 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (*.f64 x 2) (/.f64 360049201681/711999151298 (pow.f64 x 3))) (+.f64 (/.f64 600041/596657 x) (/.f64 216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (-.f64 (fma.f64 x 2 (/.f64 -600041/596657 x)) (/.f64 216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(+.f64 (/.f64 -600041/596657 x) (+.f64 (fma.f64 x 2 (/.f64 360049201681/711999151298 (pow.f64 x 3))) (/.f64 -216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (+.f64 (fma.f64 x 2 (/.f64 -600041/596657 x)) (/.f64 -216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 600041/596657 x)) |
(fma.f64 x 2 (/.f64 -600041/596657 x)) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (*.f64 600041/596657 (/.f64 1 x))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (-.f64 (*.f64 x 2) (/.f64 600041/596657 x))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -600041/596657 x))) |
(-.f64 (+.f64 (*.f64 360049201681/711999151298 (/.f64 1 (pow.f64 x 3))) (*.f64 2 x)) (+.f64 (*.f64 600041/596657 (/.f64 1 x)) (*.f64 216044283025868921/849638555232021572 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (*.f64 x 2) (/.f64 360049201681/711999151298 (pow.f64 x 3))) (+.f64 (/.f64 600041/596657 x) (/.f64 216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (-.f64 (fma.f64 x 2 (/.f64 -600041/596657 x)) (/.f64 216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(+.f64 (/.f64 -600041/596657 x) (+.f64 (fma.f64 x 2 (/.f64 360049201681/711999151298 (pow.f64 x 3))) (/.f64 -216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(+.f64 (/.f64 360049201681/711999151298 (pow.f64 x 3)) (+.f64 (fma.f64 x 2 (/.f64 -600041/596657 x)) (/.f64 -216044283025868921/849638555232021572 (pow.f64 x 5)))) |
(/.f64 360049201681/5695993210384 (pow.f64 x 6)) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 (/.f64 -1/4 x) x) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 (/.f64 -1/4 x) x) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(-.f64 (*.f64 360049201681/5695993210384 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) |
(+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -360049201681/5695993210384 (pow.f64 x 6))) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 16291 to 12188 computations (25.2% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 605 | 4 | 609 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 610 | 10 | 620 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.0b | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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)))))) |
| 32.7b | (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) | |
| ✓ | 32.9b | (/.f64 1/2 x) |
| ✓ | 27.0b | (*.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) |
| 60.0b | (+.f64 1 (+.f64 x -1)) | |
| ✓ | 60.8b | (-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
| 29.5b | x | |
| ✓ | 61.6b | (/.f64 600041/2386628 (pow.f64 x 3)) |
| ✓ | 30.2b | (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| 27.0b | (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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 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))))))) x) |
Compiled 466 to 228 computations (51.1% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(+.f64 1 (+.f64 x -1)) |
(-.f64 (+.f64 x 1) 1) |
(*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
(*.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 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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)))) 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 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) (*.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 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))))))) x) |
(/.f64 (*.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)))) 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 (*.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 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))))))) x) |
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 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)))))))) |
| Outputs |
|---|
(/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 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:
| 33.0ms | x |
| 20.0ms | (*.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 |
| 0.5b | 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 1020 to 504 computations (50.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 16.99442536665502 | 15191227462.457165 |
| 53.0ms | -5094272.860411846 | -0.0001918650792359043 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(+.f64 1 (+.f64 x -1)) |
(-.f64 (+.f64 x 1) 1) |
(*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))))) 1) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) x) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 -833192009/1250000000 (*.f64 x x) 1))) 1) |
| Outputs |
|---|
(/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) |
(*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) |
1 calls:
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | x |
Compiled 114 to 80 computations (29.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 0.7567715036497809 | 16.99442536665502 |
| 51.0ms | -5094272.860411846 | -0.0001918650792359043 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(+.f64 1 (+.f64 x -1)) |
(-.f64 (+.f64 x 1) 1) |
(*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) |
(/.f64 1/2 x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 29 to 18 computations (37.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 0.7567715036497809 | 16.99442536665502 |
| 49.0ms | -5094272.860411846 | -0.0001918650792359043 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
x |
x |
(/.f64 1/2 x) |
(+.f64 1 (+.f64 x -1)) |
(-.f64 (+.f64 x 1) 1) |
| Outputs |
|---|
(/.f64 1/2 x) |
x |
(/.f64 1/2 x) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 20 to 12 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 0.0025666030549457656 | 0.7567715036497809 |
| 49.0ms | -5094272.860411846 | -0.0001918650792359043 |
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 |
|---|---|---|
| 29.5b | 1 | x |
Compiled 7 to 2 computations (71.4% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 15× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | distribute-lft-neg-in_binary64 |
| 2× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 400 |
| 1 | 115 | 400 |
| 2 | 124 | 400 |
| 3 | 130 | 400 |
| 4 | 133 | 400 |
| 5 | 134 | 400 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -21879735332369252/4294967296) (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) (if (<=.f64 x 4783505484290203/281474976710656) (*.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 -21879735332369252/4294967296) (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) (if (<=.f64 x 13959970250103861248/18446744073709551616) (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))))) |
(if (<=.f64 x -21879735332369252/4294967296) (/.f64 1/2 x) (if (<=.f64 x 13959970250103861248/18446744073709551616) (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) (/.f64 1/2 x))) |
(if (<=.f64 x -21879735332369252/4294967296) (/.f64 1/2 x) (if (<=.f64 x 47345469693385632/18446744073709551616) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -21879735332369252/4294967296) (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) (if (<=.f64 x 4783505484290203/281474976710656) (*.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 -5469933833092313/1073741824) (/.f64 1 (-.f64 (*.f64 x 2) (*.f64 600041/596657 (/.f64 1 x)))) (if (<=.f64 x 4783505484290203/281474976710656) (*.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 (*.f64 (*.f64 x x) (*.f64 x x)) 2909738639/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) 694555761/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) 70002721/5000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) 1665589/2000000000)) (*.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 -21879735332369252/4294967296) (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))) (if (<=.f64 x 13959970250103861248/18446744073709551616) (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) (/.f64 1 (-.f64 (*.f64 2 x) (*.f64 600041/596657 (/.f64 1 x)))))) |
(if (<=.f64 x -5469933833092313/1073741824) (/.f64 1 (-.f64 (*.f64 x 2) (*.f64 600041/596657 (/.f64 1 x)))) (if (<=.f64 x 3408195861841763/4503599627370496) (*.f64 x (+.f64 1 (*.f64 (*.f64 x x) -833192009/1250000000))) (/.f64 1 (-.f64 (*.f64 x 2) (*.f64 600041/596657 (/.f64 1 x)))))) |
(if (<=.f64 x -21879735332369252/4294967296) (/.f64 1/2 x) (if (<=.f64 x 13959970250103861248/18446744073709551616) (*.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)) (/.f64 1/2 x))) |
(if (<=.f64 x -5469933833092313/1073741824) (/.f64 1/2 x) (if (<=.f64 x 3408195861841763/4503599627370496) (*.f64 x (+.f64 1 (*.f64 (*.f64 x x) -833192009/1250000000))) (/.f64 1/2 x))) |
(if (<=.f64 x -21879735332369252/4294967296) (/.f64 1/2 x) (if (<=.f64 x 47345469693385632/18446744073709551616) x (/.f64 1/2 x))) |
(if (<=.f64 x -5469933833092313/1073741824) (/.f64 1/2 x) (if (<=.f64 x 1479545927918301/576460752303423488) x (/.f64 1/2 x))) |
x |
| 1× | fuel |
Compiled 548 to 236 computations (56.9% saved)
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