Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 175 to 47 computations (73.1% saved)
| 2.7s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 755× | unswap-sqr_binary64 |
| 705× | fma-def_binary64 |
| 691× | distribute-rgt-out_binary64 |
| 546× | +-commutative_binary64 |
| 445× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 600 | 101 |
| 3 | 3272 | 90 |
| 4 | 5278 | 84 |
| 5 | 6135 | 84 |
| 6 | 6663 | 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 x (/.f64 (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 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) |
(*.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) |
Compiled 175 to 47 computations (73.1% saved)
| 1× | egg-herbie |
| 755× | unswap-sqr_binary64 |
| 705× | fma-def_binary64 |
| 691× | distribute-rgt-out_binary64 |
| 546× | +-commutative_binary64 |
| 445× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 150 |
| 2 | 600 | 101 |
| 3 | 3272 | 90 |
| 4 | 5278 | 84 |
| 5 | 6135 | 84 |
| 6 | 6663 | 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 x (/.f64 (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 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) |
(*.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) |
Compiled 234 to 91 computations (61.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.0b | (*.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 174 to 46 computations (73.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| ✓ | 15.0b | (*.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) |
| ✓ | 28.5b | (/.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))))) |
Compiled 1045 to 244 computations (76.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | inf | (*.f64 1049934947/10000000000 (*.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 | 367 |
| 1 | 1071 | 367 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 1049934947/10000000000 (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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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(*.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 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 1049934947/10000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1049934947/10000000000 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x x) 2))))))) |
| 1× | egg-herbie |
| 762× | distribute-lft-out_binary64 |
| 612× | fma-def_binary64 |
| 490× | associate-*l/_binary64 |
| 481× | associate-*l*_binary64 |
| 445× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 534 |
| 1 | 177 | 532 |
| 2 | 415 | 528 |
| 3 | 1084 | 528 |
| 4 | 4326 | 528 |
| 5 | 7158 | 528 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(*.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)) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.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 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.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 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.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 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.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 -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 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 (/.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 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 (/.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 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)) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
Compiled 17192 to 5514 computations (67.9% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 10 | 126 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 11 | 127 |
| Status | Error | Program |
|---|---|---|
| 48.3b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) | |
| ✓ | 29.0b | (*.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) |
| 47.9b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) | |
| ▶ | 49.1b | (exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| ▶ | 33.1b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 30.4b | (*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) | |
| ▶ | 30.1b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| 29.7b | x | |
| ▶ | 32.3b | (/.f64 1/2 x) |
| 47.7b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) | |
| ▶ | 30.4b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
Compiled 1276 to 699 computations (45.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x 3) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| ✓ | 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| ✓ | 19.2b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
Compiled 42 to 32 computations (23.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 x 3) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| 1.0ms | x | @ | inf | (pow.f64 x 3) |
| 1.0ms | x | @ | 0 | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 1.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 556× | log-prod_binary64 |
| 547× | fma-def_binary64 |
| 332× | pow2_binary64 |
| 315× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 279 | 33 |
| 2 | 3516 | 33 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(pow.f64 x 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (/.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 2) (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (-.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000) (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) (/.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (-.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -9178628745048112829/12500000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -9178628745048112829/12500000000000000000)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 x 6) 694208923861456081/1562500000000000000) 1/2)))) (#(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 x 9) -578409327937854629793656729/1953125000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -578409327937854629793656729/1953125000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 710× | cube-prod_binary64 |
| 681× | fabs-mul_binary64 |
| 660× | pow-sqr_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 30 | 51 |
| 2 | 60 | 51 |
| 3 | 131 | 51 |
| 4 | 260 | 51 |
| 5 | 713 | 51 |
| 6 | 1077 | 51 |
| 7 | 1719 | 51 |
| 8 | 1827 | 51 |
| 9 | 1989 | 51 |
| 10 | 2202 | 51 |
| 11 | 2532 | 51 |
| 12 | 2988 | 51 |
| 13 | 3586 | 51 |
| 14 | 4338 | 51 |
| 15 | 5270 | 51 |
| 16 | 5780 | 51 |
| 17 | 6272 | 51 |
| 18 | 6670 | 51 |
| 19 | 6990 | 51 |
| 20 | 7152 | 51 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 x 3) | |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 0.0b | (pow.f64 x 3) | |
| ✓ | 0.6b | (/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 25 to 19 computations (24% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 1.0ms | x | @ | 0 | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 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 600041/2386628 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 914× | prod-diff_binary64 |
| 437× | 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 | 2956 | 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) (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2) (/.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 (*.f64 216044283025868921/13594216883712345152 (pow.f64 (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 (*.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 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 log1p.f64 (expm1.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))) (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 |
| 1024× | associate-/l*_binary64 |
| 861× | associate-*l/_binary64 |
| 569× | associate-/r/_binary64 |
| 451× | 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 | 482 | 132 |
| 6 | 2051 | 132 |
| 7 | 2827 | 132 |
| 8 | 2924 | 132 |
| 9 | 3057 | 132 |
| 10 | 3215 | 132 |
| 11 | 3463 | 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 |
|---|---|---|
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 2.8b | (exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| ✓ | 15.0b | (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) |
| ✓ | 28.5b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))) |
Compiled 953 to 530 computations (44.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) |
| 1.0ms | x | @ | -inf | (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) |
| 1× | batch-egg-rewrite |
| 528× | pow1_binary64 |
| 525× | add-log-exp_binary64 |
| 524× | log1p-expm1-u_binary64 |
| 524× | expm1-log1p-u_binary64 |
| 522× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 426 |
| 1 | 1118 | 426 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))) |
(*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 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 *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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))))))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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)))))))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))) (*.f64 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(*.f64 x x) 5)))))))) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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))))))))) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (sqrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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)))))))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 x (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 |
| 488× | associate-*l/_binary64 |
| 465× | associate-*l*_binary64 |
| 441× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 588 |
| 1 | 174 | 586 |
| 2 | 408 | 582 |
| 3 | 1068 | 582 |
| 4 | 4286 | 582 |
| 5 | 7108 | 582 |
| 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))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(fma.f64 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 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 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 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 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 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
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 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.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 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.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))))) |
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 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.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 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
Compiled 9659 to 6623 computations (31.4% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 373 | 4 | 377 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 377 | 11 | 388 |
| Status | Error | Program |
|---|---|---|
| ▶ | 48.3b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| ▶ | 30.1b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| ✓ | 29.0b | (*.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) |
| ▶ | 47.9b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 30.4b | (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) | |
| 29.7b | x | |
| 49.8b | (exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) | |
| ✓ | 32.3b | (/.f64 1/2 x) |
| ▶ | 47.7b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| ▶ | 33.1b | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| 30.4b | (*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
Compiled 1072 to 580 computations (45.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 x x) x) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) |
| 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) | |
| ✓ | 19.2b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
Compiled 52 to 25 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) x) |
| 1× | batch-egg-rewrite |
| 660× | fma-def_binary64 |
| 583× | log-prod_binary64 |
| 359× | fma-neg_binary64 |
| 329× | pow2_binary64 |
| 225× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 270 | 26 |
| 2 | 3596 | 26 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
(*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000) (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000) (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) (exp.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000) (+.f64 1 (expm1.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 x 6) 694208923861456081/1562500000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -833192009/1250000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 710× | cube-prod_binary64 |
| 676× | fabs-mul_binary64 |
| 660× | pow-sqr_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 273 |
| 1 | 34 | 273 |
| 2 | 71 | 273 |
| 3 | 167 | 273 |
| 4 | 308 | 273 |
| 5 | 774 | 273 |
| 6 | 1163 | 273 |
| 7 | 1809 | 273 |
| 8 | 1917 | 273 |
| 9 | 2079 | 273 |
| 10 | 2292 | 273 |
| 11 | 2622 | 273 |
| 12 | 3078 | 273 |
| 13 | 3676 | 273 |
| 14 | 4429 | 273 |
| 15 | 5363 | 273 |
| 16 | 5869 | 273 |
| 17 | 6353 | 273 |
| 18 | 6749 | 273 |
| 19 | 7073 | 273 |
| 20 | 7235 | 273 |
| 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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.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 -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)) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
| 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 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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
(+.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 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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
(+.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 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 -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)) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
(pow.f64 x 3) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1/2 (*.f64 x x)) |
| ✓ | 28.8b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
Compiled 18 to 8 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 1/2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 1/2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 1× | batch-egg-rewrite |
| 630× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 590× | log1p-expm1-u_binary64 |
| 590× | expm1-log1p-u_binary64 |
| 578× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 131 | 17 |
| 2 | 1649 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(/.f64 1/2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1137× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 12 | 132 |
| 2 | 19 | 132 |
| 3 | 34 | 132 |
| 4 | 74 | 132 |
| 5 | 225 | 132 |
| 6 | 827 | 132 |
| 7 | 2032 | 132 |
| 8 | 2198 | 132 |
| 9 | 2382 | 132 |
| 10 | 2590 | 132 |
| 11 | 2887 | 132 |
| 12 | 3282 | 132 |
| 13 | 3761 | 132 |
| 14 | 4327 | 132 |
| 15 | 5009 | 132 |
| 16 | 5848 | 132 |
| 17 | 6244 | 132 |
| 18 | 6530 | 132 |
| 19 | 6806 | 132 |
| 20 | 6878 | 132 |
| 21 | 6914 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| 0.1b | (*.f64 (*.f64 x x) x) | |
| ✓ | 0.6b | (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) |
Compiled 33 to 14 computations (57.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | inf | (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 936× | prod-diff_binary64 |
| 443× | log-prod_binary64 |
| 320× | fma-def_binary64 |
| 258× | pow2_binary64 |
| 217× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 210 | 18 |
| 2 | 3058 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) |
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1024× | associate-/l*_binary64 |
| 861× | associate-*l/_binary64 |
| 569× | associate-/r/_binary64 |
| 451× | associate-*r/_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 216 |
| 1 | 31 | 216 |
| 2 | 51 | 216 |
| 3 | 83 | 216 |
| 4 | 164 | 216 |
| 5 | 482 | 216 |
| 6 | 2051 | 216 |
| 7 | 2827 | 216 |
| 8 | 2924 | 216 |
| 9 | 3057 | 216 |
| 10 | 3215 | 216 |
| 11 | 3463 | 216 |
| 12 | 7337 | 216 |
| 13 | 7869 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
(/.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 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)) |
(+.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 |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
| ✓ | 0.2b | (/.f64 600041/2386628 (pow.f64 x 4)) |
| 0.2b | (/.f64 1/2 (*.f64 x x)) | |
| ✓ | 16.9b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
Compiled 45 to 28 computations (37.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| 0.0ms | x | @ | 0 | (/.f64 600041/2386628 (pow.f64 x 4)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| 0.0ms | x | @ | inf | (/.f64 600041/2386628 (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 938× | prod-diff_binary64 |
| 526× | log-prod_binary64 |
| 328× | fma-def_binary64 |
| 218× | log-div_binary64 |
| 212× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 257 | 38 |
| 2 | 3496 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
(/.f64 600041/2386628 (pow.f64 x 4)) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 600041/2386628 (pow.f64 x -4)) x) (*.f64 (*.f64 1/2 (pow.f64 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (pow.f64 x -2)) x) (*.f64 (*.f64 600041/2386628 (pow.f64 x -4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 600041/2386628 (pow.f64 x -4))) (*.f64 x (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/2 (pow.f64 x -2))) (*.f64 x (*.f64 600041/2386628 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/2 (*.f64 600041/2386628 (*.f64 x x))) x) (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -4) 3) (/.f64 1/8 (pow.f64 x 6))) x) (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 600041/4773256 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8)) (/.f64 1/4 (pow.f64 x 4))) x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 1/2 (*.f64 600041/2386628 (*.f64 x x)))) (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -4) 3) (/.f64 1/8 (pow.f64 x 6)))) (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 600041/4773256 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8)) (/.f64 1/4 (pow.f64 x 4)))) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 600041/2386628 (pow.f64 x -4)) (*.f64 x (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/2 (pow.f64 x -2)) (*.f64 x (*.f64 600041/2386628 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/2386628 (pow.f64 x -4)) x (*.f64 (*.f64 1/2 (pow.f64 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 x -2)) x (*.f64 (*.f64 600041/2386628 (pow.f64 x -4)) x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 600041/2386628 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -4))) (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 600041/2386628 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -4))) (cbrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8))) (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) (*.f64 x x)) (/.f64 (sqrt.f64 600041/2386628) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -600041/2386628 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 600041/2386628 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 600041/2386628) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 2386628/600041) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 600041/2386628 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 600041/2386628 (pow.f64 x -4))) 1)))))) |
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(pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) (/.f64 1 x) (*.f64 600041/2386628 (pow.f64 x -4))))))) |
| 1× | egg-herbie |
| 930× | associate-/r/_binary64 |
| 624× | sqr-pow_binary64 |
| 488× | associate-/r*_binary64 |
| 324× | *-commutative_binary64 |
| 317× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 297 |
| 1 | 51 | 297 |
| 2 | 85 | 297 |
| 3 | 173 | 297 |
| 4 | 602 | 297 |
| 5 | 3423 | 297 |
| 6 | 3668 | 297 |
| 7 | 3923 | 297 |
| 8 | 4220 | 297 |
| 9 | 4568 | 297 |
| 10 | 5027 | 297 |
| 11 | 7077 | 297 |
| 12 | 7962 | 297 |
| 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))) |
(/.f64 600041/2386628 (pow.f64 x 4)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (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 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (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 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (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 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
| 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))) |
(/.f64 600041/2386628 (pow.f64 x 4)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 600041/2386628 (/.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 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 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 600041/2386628 (/.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 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 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 600041/2386628 (/.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))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| 15.0b | (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) | |
| 28.5b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))) | |
| ✓ | 38.2b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
Compiled 1670 to 935 computations (44% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| 1× | batch-egg-rewrite |
| 539× | pow1_binary64 |
| 535× | add-cbrt-cube_binary64 |
| 535× | add-log-exp_binary64 |
| 535× | log1p-expm1-u_binary64 |
| 535× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 143 |
| 1 | 1152 | 143 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 1 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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)))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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))))))) 2)) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (cbrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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)))))))) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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))))))))) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (sqrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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)))))))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 x (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.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 |
| 471× | cancel-sign-sub-inv_binary64 |
| 429× | times-frac_binary64 |
| 413× | fma-neg_binary64 |
| 388× | associate-/l*_binary64 |
| 370× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 317 |
| 1 | 210 | 277 |
| 2 | 654 | 232 |
| 3 | 2334 | 225 |
| 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 (/.f64 (cbrt.f64 -1) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1911689/94209 (cbrt.f64 -1)) (+.f64 (*.f64 70002721/3579942 (cbrt.f64 -1)) (*.f64 8327945/3579942 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1)))))) (pow.f64 x 5))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 212030302/1789971 (cbrt.f64 -1)) (+.f64 (*.f64 231518587/2386628 (cbrt.f64 -1)) (+.f64 (*.f64 8327945/3579942 (-.f64 (*.f64 1911689/94209 (cbrt.f64 -1)) (+.f64 (*.f64 70002721/3579942 (cbrt.f64 -1)) (*.f64 8327945/3579942 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))))))) (*.f64 70002721/1789971 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))))))) (pow.f64 x 7))) (+.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1911689/94209 (cbrt.f64 -1)) (+.f64 (*.f64 70002721/3579942 (cbrt.f64 -1)) (*.f64 8327945/3579942 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1)))))) (pow.f64 x 5)))))) |
| 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 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 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 (/.f64 (cbrt.f64 -1) x)) |
(*.f64 (/.f64 -1/2 x) (cbrt.f64 -1)) |
(/.f64 (cbrt.f64 -1) (/.f64 x -1/2)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) (pow.f64 x 3)) (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x))) |
(-.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 3) 600041/2386628))) |
(*.f64 (/.f64 (cbrt.f64 -1) x) (-.f64 -1/2 (/.f64 600041/2386628 (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 -1) x) (+.f64 -1/2 (/.f64 (/.f64 -600041/2386628 x) x))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1911689/94209 (cbrt.f64 -1)) (+.f64 (*.f64 70002721/3579942 (cbrt.f64 -1)) (*.f64 8327945/3579942 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1)))))) (pow.f64 x 5))))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (cbrt.f64 -1) x) (neg.f64 (/.f64 (-.f64 (*.f64 (cbrt.f64 -1) 1911689/94209) (fma.f64 70002721/3579942 (cbrt.f64 -1) (*.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) 8327945/3579942))) (pow.f64 x 5))))) |
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 3) 600041/2386628))) (/.f64 (-.f64 (*.f64 (cbrt.f64 -1) 880487/1193314) (*.f64 (cbrt.f64 -1) 4997108445745/8543989815576)) (pow.f64 x 5))) |
(-.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (-.f64 -1/2 (/.f64 600041/2386628 (*.f64 x x)))) (/.f64 (*.f64 (cbrt.f64 -1) 1307076337763/8543989815576) (pow.f64 x 5))) |
(fma.f64 (/.f64 (cbrt.f64 -1) x) (+.f64 -1/2 (/.f64 (/.f64 -600041/2386628 x) x)) (/.f64 (*.f64 (cbrt.f64 -1) -1307076337763/8543989815576) (pow.f64 x 5))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 212030302/1789971 (cbrt.f64 -1)) (+.f64 (*.f64 231518587/2386628 (cbrt.f64 -1)) (+.f64 (*.f64 8327945/3579942 (-.f64 (*.f64 1911689/94209 (cbrt.f64 -1)) (+.f64 (*.f64 70002721/3579942 (cbrt.f64 -1)) (*.f64 8327945/3579942 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))))))) (*.f64 70002721/1789971 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1))))))) (pow.f64 x 7))) (+.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1911689/94209 (cbrt.f64 -1)) (+.f64 (*.f64 70002721/3579942 (cbrt.f64 -1)) (*.f64 8327945/3579942 (-.f64 (*.f64 2532017/1789971 (cbrt.f64 -1)) (*.f64 8327945/7159884 (cbrt.f64 -1)))))) (pow.f64 x 5)))))) |
(fma.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (cbrt.f64 -1) 212030302/1789971) (fma.f64 231518587/2386628 (cbrt.f64 -1) (fma.f64 8327945/3579942 (-.f64 (*.f64 (cbrt.f64 -1) 1911689/94209) (fma.f64 70002721/3579942 (cbrt.f64 -1) (*.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) 8327945/3579942))) (*.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) 70002721/1789971)))) (pow.f64 x 7)) (fma.f64 -1/2 (/.f64 (cbrt.f64 -1) x) (neg.f64 (/.f64 (-.f64 (*.f64 (cbrt.f64 -1) 1911689/94209) (fma.f64 70002721/3579942 (cbrt.f64 -1) (*.f64 (*.f64 (cbrt.f64 -1) 600041/2386628) 8327945/3579942))) (pow.f64 x 5)))))) |
(-.f64 (-.f64 (-.f64 (*.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (/.f64 (-.f64 (*.f64 (cbrt.f64 -1) 880487/1193314) (*.f64 (cbrt.f64 -1) 4997108445745/8543989815576)) (pow.f64 x 5))) (/.f64 (-.f64 (*.f64 (cbrt.f64 -1) 153565447/7159884) (fma.f64 8327945/3579942 (-.f64 (*.f64 (cbrt.f64 -1) 880487/1193314) (*.f64 (cbrt.f64 -1) 4997108445745/8543989815576)) (*.f64 (cbrt.f64 -1) 42004502711561/4271994907788))) (pow.f64 x 7))) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 3) 600041/2386628))) |
(-.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (-.f64 -1/2 (/.f64 600041/2386628 (*.f64 x x)))) (/.f64 (*.f64 (cbrt.f64 -1) 1307076337763/8543989815576) (pow.f64 x 5))) (/.f64 (+.f64 (*.f64 (cbrt.f64 -1) 8270232699853/711999151298) (*.f64 -8327945/3579942 (*.f64 (cbrt.f64 -1) 1307076337763/8543989815576))) (pow.f64 x 7))) |
(-.f64 (fma.f64 (/.f64 (cbrt.f64 -1) x) (+.f64 -1/2 (/.f64 (/.f64 -600041/2386628 x) x)) (/.f64 (*.f64 (cbrt.f64 -1) -1307076337763/8543989815576) (pow.f64 x 5))) (/.f64 (+.f64 (*.f64 (cbrt.f64 -1) -114028140917159/3203996180841) (*.f64 (cbrt.f64 -1) 477656398818461164895/10195662662784258864)) (pow.f64 x 7))) |
Compiled 60643 to 36311 computations (40.1% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 702 | 0 | 702 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 702 | 11 | 713 |
| Status | Error | Program |
|---|---|---|
| ✓ | 48.3b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| ✓ | 30.1b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| ✓ | 29.0b | (*.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) |
| ✓ | 47.9b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| ▶ | 30.4b | (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
| 29.7b | x | |
| ▶ | 49.8b | (exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
| ✓ | 32.3b | (/.f64 1/2 x) |
| ✓ | 47.7b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| ✓ | 33.1b | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| ▶ | 30.4b | (*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
Compiled 626 to 315 computations (49.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) | |
| ✓ | 1.6b | (exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
| ✓ | 12.1b | (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
| 19.2b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
Compiled 71 to 55 computations (22.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
| 1× | batch-egg-rewrite |
| 594× | log-prod_binary64 |
| 552× | fma-def_binary64 |
| 352× | pow2_binary64 |
| 322× | fma-neg_binary64 |
| 242× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 303 | 32 |
| 2 | 3702 | 32 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
| Outputs |
|---|
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-833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -833192009/1250000000) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -833192009/1250000000 (pow.f64 x 3) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -833192009/1250000000 (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1 (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000)) (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(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)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000 (neg.f64 (*.f64 x x))) (/.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) (neg.f64 x))) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3321371254951887171/12500000000000000000) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -833192009/1250000000) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3321371254951887171/12500000000000000000 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))))) |
| 1× | egg-herbie |
| 757× | fma-def_binary64 |
| 602× | fma-neg_binary64 |
| 492× | unswap-sqr_binary64 |
| 390× | times-frac_binary64 |
| 370× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 403 |
| 1 | 180 | 395 |
| 2 | 442 | 395 |
| 3 | 1297 | 387 |
| 4 | 4594 | 387 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) (log.f64 x)) |
(+.f64 (*.f64 544535559506062847/12500000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) (log.f64 x))) |
(+.f64 (*.f64 734949068428361034538239157/9375000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 544535559506062847/12500000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) (log.f64 x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (*.f64 -5 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (*.f64 -5 (log.f64 (/.f64 1 x)))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))) (*.f64 -5 (log.f64 (/.f64 1 x))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (/.f64 1 (pow.f64 x 6))) (*.f64 -5 (log.f64 (/.f64 1 x)))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -5 (log.f64 (/.f64 -1 x))) (log.f64 -3321371254951887171/12500000000000000000)) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (*.f64 -5 (log.f64 (/.f64 -1 x)))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (+.f64 (*.f64 -5 (log.f64 (/.f64 -1 x))) (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (+.f64 (*.f64 -5 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))) (*.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (/.f64 1 (pow.f64 x 6)))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.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)) |
| Outputs |
|---|
(log.f64 x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) (log.f64 x)) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (log.f64 x)) |
(+.f64 (*.f64 544535559506062847/12500000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) (log.f64 x))) |
(fma.f64 544535559506062847/12500000000000000000 (pow.f64 x 4) (fma.f64 -833192009/1250000000 (*.f64 x x) (log.f64 x))) |
(fma.f64 x (*.f64 x -833192009/1250000000) (fma.f64 544535559506062847/12500000000000000000 (pow.f64 x 4) (log.f64 x))) |
(+.f64 (*.f64 734949068428361034538239157/9375000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 544535559506062847/12500000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) (log.f64 x)))) |
(fma.f64 734949068428361034538239157/9375000000000000000000000000 (pow.f64 x 6) (fma.f64 544535559506062847/12500000000000000000 (pow.f64 x 4) (fma.f64 -833192009/1250000000 (*.f64 x x) (log.f64 x)))) |
(fma.f64 544535559506062847/12500000000000000000 (pow.f64 x 4) (fma.f64 734949068428361034538239157/9375000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (log.f64 x)))) |
(fma.f64 544535559506062847/12500000000000000000 (pow.f64 x 4) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 734949068428361034538239157/9375000000000000000000000000 (pow.f64 x 6) (log.f64 x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (*.f64 -5 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (*.f64 -5 (neg.f64 (log.f64 x)))) |
(fma.f64 -5 (neg.f64 (log.f64 x)) (log.f64 3321371254951887171/12500000000000000000)) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (*.f64 (log.f64 x) 5)) |
(fma.f64 (log.f64 x) 5 (log.f64 3321371254951887171/12500000000000000000)) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (*.f64 -5 (log.f64 (/.f64 1 x)))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (-.f64 (*.f64 -5 (neg.f64 (log.f64 x))) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (fma.f64 -5 (neg.f64 (log.f64 x)) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 (log.f64 x) 5) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (fma.f64 (log.f64 x) 5 (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))) (*.f64 -5 (log.f64 (/.f64 1 x))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 -5 (neg.f64 (log.f64 x))) (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)))) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x))) |
(+.f64 (fma.f64 -5 (neg.f64 (log.f64 x)) (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4))) (-.f64 (log.f64 3321371254951887171/12500000000000000000) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 (log.f64 x) 5) (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x))))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (fma.f64 (log.f64 x) 5 (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x))))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (/.f64 1 (pow.f64 x 6))) (*.f64 -5 (log.f64 (/.f64 1 x)))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (+.f64 (*.f64 -5 (neg.f64 (log.f64 x))) (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6))))) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (fma.f64 -5 (neg.f64 (log.f64 x)) (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6))) (-.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x))))) |
(+.f64 (log.f64 3321371254951887171/12500000000000000000) (+.f64 (*.f64 (log.f64 x) 5) (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (+.f64 (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6)) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))))) |
(+.f64 (+.f64 (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)) (+.f64 (log.f64 3321371254951887171/12500000000000000000) (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6)))) (fma.f64 (log.f64 x) 5 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)))) |
(+.f64 (*.f64 -5 (log.f64 (/.f64 -1 x))) (log.f64 -3321371254951887171/12500000000000000000)) |
(fma.f64 -5 (log.f64 (/.f64 -1 x)) (log.f64 -3321371254951887171/12500000000000000000)) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (*.f64 -5 (log.f64 (/.f64 -1 x)))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -5 (log.f64 (/.f64 -1 x)) (log.f64 -3321371254951887171/12500000000000000000)) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x))) |
(+.f64 (log.f64 -3321371254951887171/12500000000000000000) (fma.f64 -5 (log.f64 (/.f64 -1 x)) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (+.f64 (*.f64 -5 (log.f64 (/.f64 -1 x))) (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -3321371254951887171/12500000000000000000) (-.f64 (fma.f64 -5 (log.f64 (/.f64 -1 x)) (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4))) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(+.f64 (log.f64 -3321371254951887171/12500000000000000000) (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (fma.f64 -5 (log.f64 (/.f64 -1 x)) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x))))) |
(+.f64 (fma.f64 -5 (log.f64 (/.f64 -1 x)) (log.f64 -3321371254951887171/12500000000000000000)) (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (+.f64 (*.f64 -5 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (/.f64 1 (pow.f64 x 4))) (*.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (/.f64 1 (pow.f64 x 6)))))) (*.f64 8331920090000000000/3321371254951887171 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (+.f64 (fma.f64 -5 (log.f64 (/.f64 -1 x)) (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4))) (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6)))) (/.f64 8331920090000000000/3321371254951887171 (*.f64 x x))) |
(+.f64 (fma.f64 -5 (log.f64 (/.f64 -1 x)) (log.f64 -3321371254951887171/12500000000000000000)) (+.f64 (+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6))) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)))) |
(+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (+.f64 (fma.f64 -5 (log.f64 (/.f64 -1 x)) (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6))) (+.f64 (log.f64 -3321371254951887171/12500000000000000000) (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x))))) |
(+.f64 (/.f64 6806694493825785587500000000000000000/11031507013220673890527654054314383241 (pow.f64 x 4)) (+.f64 (/.f64 -8331920090000000000/3321371254951887171 (*.f64 x x)) (fma.f64 -5 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 459343167767725646586399473125000000000000000000000000000/109919190877533882663564539809272838471274258465655903633 (pow.f64 x 6)) (log.f64 -3321371254951887171/12500000000000000000))))) |
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 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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
(+.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 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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
(+.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 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)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
| ✓ | 0.1b | (fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 x) |
Compiled 21 to 14 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 x) |
| 0.0ms | x | @ | -inf | (*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
| 0.0ms | x | @ | inf | (*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 -833192009/1250000000 x) |
| 0.0ms | x | @ | inf | (*.f64 -833192009/1250000000 x) |
| 1× | batch-egg-rewrite |
| 591× | pow1_binary64 |
| 546× | add-log-exp_binary64 |
| 546× | log1p-expm1-u_binary64 |
| 546× | expm1-log1p-u_binary64 |
| 535× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 134 | 23 |
| 2 | 1474 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 x) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -833192009/1250000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 -833192009/1250000000 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) (sqrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 3) 1) (+.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) (*.f64 x (*.f64 -833192009/1250000000 x))) (-.f64 1 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) (*.f64 x (*.f64 -833192009/1250000000 x))) 1) (-.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 -833192009/1250000000 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1)))))))) |
| 1× | egg-herbie |
| 944× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 518× | fma-def_binary64 |
| 499× | cube-prod_binary64 |
| 461× | fabs-mul_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 192 |
| 1 | 30 | 174 |
| 2 | 56 | 174 |
| 3 | 127 | 174 |
| 4 | 316 | 174 |
| 5 | 1329 | 174 |
| 6 | 2810 | 174 |
| 7 | 3186 | 174 |
| 8 | 3446 | 174 |
| 9 | 3749 | 174 |
| 10 | 4138 | 174 |
| 11 | 4654 | 174 |
| 12 | 5274 | 174 |
| 13 | 5987 | 174 |
| 14 | 6466 | 174 |
| 15 | 6791 | 174 |
| 16 | 7065 | 174 |
| 17 | 7235 | 174 |
| 18 | 7325 | 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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) |
(fma.f64 x (*.f64 -833192009/1250000000 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (*.f64 x x) x) | |
| 0.1b | (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) |
Compiled 27 to 9 computations (66.7% saved)
Compiled 7182 to 5602 computations (22% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 2 | 383 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 382 | 12 | 394 |
| Status | Error | Program |
|---|---|---|
| ✓ | 48.3b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| ✓ | 30.1b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| ✓ | 29.0b | (*.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) |
| ✓ | 47.9b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| ✓ | 30.4b | (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
| 29.7b | x | |
| ✓ | 49.8b | (exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
| 30.4b | (*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) | |
| ✓ | 32.3b | (/.f64 1/2 x) |
| ✓ | 47.7b | (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| ✓ | 33.1b | (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
| 60.6b | (-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 1) |
Compiled 640 to 326 computations (49.1% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) |
(+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 1) |
(*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(exp.f64 (log.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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))))))))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 1/2 x) |
2 calls:
| 30.0ms | x |
| 22.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 963 to 450 computations (53.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 88.0ms | 3607091.1122318436 | 2.6802188902583923e+23 |
| 80.0ms | -8235450175319699.0 | -67010090.218139134 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) |
(+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 1) |
(*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
| Outputs |
|---|
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) |
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
1 calls:
| 37.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 107 to 65 computations (39.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 96.0ms | 0.13137983386600421 | 3607091.1122318436 |
| 86.0ms | -67010090.218139134 | -5.203651412372695e-5 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) |
(+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 x (*.f64 -833192009/1250000000 x) 1) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 -833192009/1250000000 x) 1))) 1) |
(*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| Outputs |
|---|
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
(+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
(+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) |
1 calls:
| 32.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
Compiled 92 to 57 computations (38% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 87.0ms | 0.13137983386600421 | 3607091.1122318436 |
| 89.0ms | -67010090.218139134 | -5.203651412372695e-5 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) |
(+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) |
(/.f64 1/2 x) |
1 calls:
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 32 to 18 computations (43.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 87.0ms | 0.13137983386600421 | 3607091.1122318436 |
| 85.0ms | -67010090.218139134 | -5.203651412372695e-5 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) |
(/.f64 1/2 x) |
1 calls:
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 23 to 14 computations (39.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 0.13137983386600421 | 3607091.1122318436 |
| 85.0ms | -67010090.218139134 | -5.203651412372695e-5 |
Compiled 178 to 49 computations (72.5% saved)
Total -61.3b remaining (-10823.4%)
Threshold costs -61.3b (-10823.4%)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
x |
(/.f64 1/2 x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 14 to 8 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 0.13137983386600421 | 3607091.1122318436 |
| 89.0ms | -67010090.218139134 | -5.203651412372695e-5 |
Compiled 178 to 49 computations (72.5% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 15× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 487 |
| 1 | 124 | 487 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -8235450175319699) (/.f64 1/2 x) (if (<=.f64 x 7746169180364017/2147483648) (*.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 -8993942062153659/134217728) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)))) |
(if (<=.f64 x -8993942062153659/134217728) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) (*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) (/.f64 1/2 x))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -8235450175319699) (/.f64 1/2 x) (if (<=.f64 x 7746169180364017/2147483648) (*.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 -8235450175319699) (/.f64 1/2 x) (if (<=.f64 x 7746169180364017/2147483648) (*.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 -8993942062153659/134217728) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x)) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)))) |
(if (<=.f64 x -8993942062153659/134217728) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (*.f64 x (*.f64 x x)))) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) -833192009/1250000000))) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x -8993942062153659/134217728) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) (+.f64 (/.f64 600041/2386628 (*.f64 (*.f64 x x) x)) (/.f64 1/2 x)))) |
(if (<=.f64 x -8993942062153659/134217728) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (*.f64 x (*.f64 x x)))) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) -833192009/1250000000)) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 (*.f64 -833192009/1250000000 (*.f64 (*.f64 x x) x)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) -833192009/1250000000)) (/.f64 1/2 x))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) (*.f64 (+.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) 1) x) (/.f64 1/2 x))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) (*.f64 x (+.f64 1 (*.f64 x (*.f64 x -833192009/1250000000)))) (/.f64 1/2 x))) |
(if (<=.f64 x -8993942062153659/134217728) (/.f64 1/2 x) (if (<=.f64 x 2366728683371737/18014398509481984) x (/.f64 1/2 x))) |
x |
Compiled 338 to 148 computations (56.2% saved)
Compiled 332 to 137 computations (58.7% saved)
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