Time bar (total: 6.7s)
| 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)
| 2.0s | 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 |
|---|---|---|
| ▶ | 29.2b | (*.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 |
|---|---|---|
| ✓ | 0.3b | (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| ✓ | 0.4b | (*.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) |
| ✓ | 28.7b | (/.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 | |
|---|---|---|---|---|
| 3.0ms | 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))))) |
| 2.0ms | 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))))) |
| 2.0ms | 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 | @ | 0 | (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.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 | 376 |
| 1 | 1071 | 376 |
| 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 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.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 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.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 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(*.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 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))))))))) |
| 1× | egg-herbie |
| 766× | distribute-lft-out_binary64 |
| 612× | fma-def_binary64 |
| 607× | associate-*l*_binary64 |
| 500× | associate-*r*_binary64 |
| 490× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 180 | 568 |
| 2 | 422 | 564 |
| 3 | 1128 | 564 |
| 4 | 4808 | 564 |
| 5 | 7628 | 564 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(*.f64 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)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 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 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -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 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.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 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)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 (pow.f64 x 8) 2532017/5000000000) |
Compiled 6068 to 2655 computations (56.2% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 6 | 62 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 56 | 7 | 63 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.3b | (/.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)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| ▶ | 32.0b | (/.f64 1/2 x) |
| ▶ | 32.7b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ▶ | 30.7b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ✓ | 29.2b | (*.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) |
| ▶ | 48.0b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 30.0b | x |
Compiled 476 to 229 computations (51.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (pow.f64 (*.f64 x x) 3) |
| ✓ | 0.3b | (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) |
| 0.4b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 28.8b | (/.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)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
Compiled 646 to 356 computations (44.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 x x) 3) |
| 0.0ms | x | @ | -inf | (/.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)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 x x) 3) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 516× | add-log-exp_binary64 |
| 516× | log1p-expm1-u_binary64 |
| 516× | expm1-log1p-u_binary64 |
| 515× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 166 |
| 1 | 1093 | 166 |
| 1× | node limit |
| Inputs |
|---|
(/.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)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3))) |
(pow.f64 (*.f64 x x) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)) (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (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 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x x) 3)) (sqrt.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 3)))))) |
| 1× | egg-herbie |
| 638× | times-frac_binary64 |
| 589× | fma-def_binary64 |
| 560× | sqr-pow_binary64 |
| 419× | associate-/l*_binary64 |
| 379× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 318 |
| 1 | 109 | 318 |
| 2 | 258 | 318 |
| 3 | 564 | 318 |
| 4 | 1323 | 318 |
| 5 | 2693 | 318 |
| 6 | 5588 | 318 |
| 7 | 5856 | 318 |
| 8 | 6144 | 318 |
| 9 | 6471 | 318 |
| 10 | 6899 | 318 |
| 11 | 7509 | 318 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.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 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 1/2 (*.f64 x x)) |
| ✓ | 31.4b | (*.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 505× | pow1_binary64 |
| 499× | add-sqr-sqrt_binary64 |
| 477× | add-log-exp_binary64 |
| 477× | log1p-expm1-u_binary64 |
| 477× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1325 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 0.2b | (/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 25 to 19 computations (24% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | x | @ | inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 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)))))) |
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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))) |
Compiled 15953 to 9481 computations (40.6% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 287 | 2 | 289 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 288 | 8 | 296 |
| Status | Error | Program |
|---|---|---|
| ▶ | 56.2b | (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| ✓ | 32.0b | (/.f64 1/2 x) |
| ✓ | 32.7b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ▶ | 30.9b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| ✓ | 30.7b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ✓ | 29.2b | (*.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) |
| ✓ | 48.0b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 30.0b | x |
Compiled 236 to 93 computations (60.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| ✓ | 1.0b | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
Compiled 40 to 33 computations (17.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 2.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 1× | batch-egg-rewrite |
| 877× | pow1_binary64 |
| 829× | add-log-exp_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 815× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 204 | 7 |
| 2 | 2536 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1) (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) 1)) -1))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 471× | fabs-mul_binary64 |
| 438× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 15 | 84 |
| 2 | 32 | 84 |
| 3 | 56 | 84 |
| 4 | 114 | 84 |
| 5 | 326 | 84 |
| 6 | 1180 | 84 |
| 7 | 1869 | 84 |
| 8 | 1956 | 84 |
| 9 | 2089 | 84 |
| 10 | 2247 | 84 |
| 11 | 2486 | 84 |
| 12 | 2808 | 84 |
| 13 | 3231 | 84 |
| 14 | 3733 | 84 |
| 15 | 4335 | 84 |
| 16 | 5057 | 84 |
| 17 | 5378 | 84 |
| 18 | 5664 | 84 |
| 19 | 5886 | 84 |
| 20 | 6064 | 84 |
| 21 | 6144 | 84 |
| 22 | 7084 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) |
| ✓ | 0.1b | (*.f64 (*.f64 x 2) (pow.f64 x 3)) |
| ✓ | 0.6b | (*.f64 (*.f64 x 2) 600041/2386628) |
| ✓ | 24.3b | (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
Compiled 49 to 37 computations (24.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 2.0ms | x | @ | 0 | (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x 2) 600041/2386628) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x 2) (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 638× | log-prod_binary64 |
| 389× | pow-prod-down_binary64 |
| 352× | fma-def_binary64 |
| 300× | pow2_binary64 |
| 226× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 1 | 252 | 42 |
| 2 | 3406 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
(*.f64 (*.f64 x 2) 600041/2386628) |
(*.f64 (*.f64 x 2) (pow.f64 x 3)) |
(+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) |
| Outputs |
|---|
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(*.f64 x (fma.f64 x x -600041/1193314)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) 360049201681/1423998302596))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x 600041/1193314)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x 600041/1193314)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))) (pow.f64 (exp.f64 x) 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 x 600041/1193314)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 x 600041/1193314)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 600041/1193314))) (exp.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) 600041/1193314) (+.f64 1 (expm1.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 600041/1193314))) (+.f64 1 (expm1.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x 600041/1193314)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x 600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x 600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x 600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x 600041/1193314))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 600041/1193314 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1 (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x 600041/2386628) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 600041/2386628 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 600041/2386628 (+.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 600041/1193314) 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 600041/1193314) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 600041/1193314)) (cbrt.f64 (*.f64 (*.f64 x x) 360049201681/1423998302596)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 360049201681/1423998302596)) (cbrt.f64 (*.f64 x 600041/1193314)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 600041/1193314) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (cbrt.f64 (+.f64 x x)) 600041/2386628) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 600041/1193314)) (sqrt.f64 (*.f64 x 600041/1193314)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 600041/1193314) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) 600041/2386628) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 600041/1193314 x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/2386628 x) 2 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/2386628 (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/2386628 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 1) x (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 600041/1193314)))))) |
| 1× | egg-herbie |
| 663× | sqr-pow_binary64 |
| 497× | fma-def_binary64 |
| 492× | associate-/r*_binary64 |
| 472× | associate-/l/_binary64 |
| 443× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 348 |
| 1 | 44 | 348 |
| 2 | 81 | 348 |
| 3 | 135 | 348 |
| 4 | 324 | 348 |
| 5 | 1238 | 348 |
| 6 | 4636 | 348 |
| 7 | 4962 | 348 |
| 8 | 5180 | 348 |
| 9 | 5486 | 348 |
| 10 | 5863 | 348 |
| 11 | 6312 | 348 |
| 12 | 6889 | 348 |
| 13 | 7438 | 348 |
| 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 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 600041/1193314 x) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 600041/1193314 x) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
| 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 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 2 (pow.f64 x 4)) |
(*.f64 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
Compiled 4015 to 2791 computations (30.5% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 2 | 216 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 216 | 8 | 224 |
| Status | Error | Program |
|---|---|---|
| ▶ | 56.2b | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| ✓ | 32.0b | (/.f64 1/2 x) |
| ✓ | 32.7b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 30.9b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| ▶ | 30.7b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| ✓ | 29.2b | (*.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) |
| ✓ | 48.0b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 30.0b | x |
Compiled 236 to 90 computations (61.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x -833192009/1250000000) |
| ✓ | 0.1b | (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
Compiled 25 to 12 computations (52% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x -833192009/1250000000) |
| 0.0ms | x | @ | -inf | (*.f64 x -833192009/1250000000) |
| 0.0ms | x | @ | inf | (*.f64 x -833192009/1250000000) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
| 1× | batch-egg-rewrite |
| 540× | pow1_binary64 |
| 521× | add-sqr-sqrt_binary64 |
| 502× | add-log-exp_binary64 |
| 502× | log1p-expm1-u_binary64 |
| 502× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 123 | 11 |
| 2 | 1430 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) |
(*.f64 x -833192009/1250000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -833192009/1250000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 -.f64 (+.f64 1 (*.f64 x -833192009/1250000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -833192009/1250000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -833192009/1250000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -833192009/1250000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -833192009/1250000000))))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 478× | fabs-mul_binary64 |
| 444× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 17 | 132 |
| 2 | 32 | 132 |
| 3 | 55 | 132 |
| 4 | 113 | 132 |
| 5 | 320 | 132 |
| 6 | 1185 | 132 |
| 7 | 1871 | 132 |
| 8 | 1958 | 132 |
| 9 | 2091 | 132 |
| 10 | 2249 | 132 |
| 11 | 2488 | 132 |
| 12 | 2810 | 132 |
| 13 | 3233 | 132 |
| 14 | 3736 | 132 |
| 15 | 4338 | 132 |
| 16 | 5062 | 132 |
| 17 | 5385 | 132 |
| 18 | 5673 | 132 |
| 19 | 5895 | 132 |
| 20 | 6077 | 132 |
| 21 | 6161 | 132 |
| 22 | 7101 | 132 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
| Outputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 600041/1193314 (*.f64 x x)) |
| 0.1b | (*.f64 (*.f64 x 2) (pow.f64 x 3)) | |
| ✓ | 0.4b | (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) |
| ✓ | 24.3b | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
Compiled 48 to 28 computations (41.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 752× | log-prod_binary64 |
| 328× | pow2_binary64 |
| 244× | prod-diff_binary64 |
| 232× | pow1/3_binary64 |
| 225× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 277 | 30 |
| 2 | 3860 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
(*.f64 x (+.f64 600041/1193314 (*.f64 x x))) |
(+.f64 600041/1193314 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (*.f64 2 (pow.f64 x 4)) (fma.f64 x x 600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 x x 600041/1193314) (/.f64 1 (*.f64 2 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 600041/1193314) (*.f64 x (/.f64 1 (*.f64 2 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) (/.f64 1 (*.f64 2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) x))) x) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314)) 2)) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 2) (*.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (/.f64 1 (*.f64 2 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314))) (sqrt.f64 (*.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (*.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (/.f64 1 (*.f64 2 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 x x)) (/.f64 (fma.f64 x x 600041/1193314) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 600041/1193314) (pow.f64 x 3)) (*.f64 1/2 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (pow.f64 x 4))) (fma.f64 x 600041/1193314 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) x)) (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (fma.f64 x x 600041/1193314) (*.f64 2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (/.f64 (fma.f64 x x 600041/1193314) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 600041/1193314) x) (/.f64 x (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 2) x) (/.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) x) (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 600041/1193314) (+.f64 x x)) (/.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (fma.f64 x x 600041/1193314) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 2) (+.f64 x x)) (/.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (+.f64 x x)) (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (pow.f64 x 3)) (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 1/2 (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 2) (pow.f64 x 3)) (/.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 600041/1193314) 1) (/.f64 x (*.f64 2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 (pow.f64 x 4))) (fma.f64 x x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (*.f64 x (cbrt.f64 (+.f64 x x))) 2)) (/.f64 (fma.f64 x x 600041/1193314) (*.f64 x (cbrt.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 600041/1193314) (pow.f64 (*.f64 x (cbrt.f64 (+.f64 x x))) 2)) (/.f64 x (*.f64 x (cbrt.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 x (cbrt.f64 (+.f64 x x))) 2)) (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) (*.f64 x (cbrt.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 2) (pow.f64 (*.f64 x (cbrt.f64 (+.f64 x x))) 2)) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3)) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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| 1× | egg-herbie |
| 942× | fma-def_binary64 |
| 651× | associate-/l*_binary64 |
| 581× | associate-*l/_binary64 |
| 536× | unswap-sqr_binary64 |
| 409× | associate-*r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 288 |
| 1 | 44 | 270 |
| 2 | 76 | 270 |
| 3 | 144 | 270 |
| 4 | 413 | 270 |
| 5 | 1648 | 270 |
| 6 | 5778 | 270 |
| 7 | 6388 | 270 |
| 8 | 6965 | 270 |
| 9 | 7881 | 270 |
| 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 600041/1193314 x) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
600041/1193314 |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (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 600041/1193314 x) |
(*.f64 x 600041/1193314) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
(+.f64 (*.f64 600041/1193314 x) (pow.f64 x 3)) |
(fma.f64 600041/1193314 x (pow.f64 x 3)) |
(*.f64 x (fma.f64 x x 600041/1193314)) |
(fma.f64 x 600041/1193314 (pow.f64 x 3)) |
600041/1193314 |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (*.f64 x x)) |
(fma.f64 x x 600041/1193314) |
Compiled 3748 to 2582 computations (31.1% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 1 | 212 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 212 | 8 | 220 |
| Status | Error | Program |
|---|---|---|
| 56.2b | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 2 (pow.f64 x 4))) | |
| ✓ | 32.0b | (/.f64 1/2 x) |
| ✓ | 32.7b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 30.9b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| ✓ | 30.7b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
| ✓ | 29.2b | (*.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) |
| ✓ | 48.0b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 30.0b | x |
Compiled 234 to 89 computations (62% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
(/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 2 (pow.f64 x 4))) |
(/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
(*.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 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
(/.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)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 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 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
2 calls:
| 50.0ms | (*.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) |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.0b | 4 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 561 to 220 computations (60.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 91.0ms | 5.387450871075017e-9 | 39761537.355418764 |
| 85.0ms | -796612264620780.1 | -0.019120744078643195 |
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 x) (*.f64 x -833192009/1250000000)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
(/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 2 (pow.f64 x 4))) |
(/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 78 to 50 computations (35.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 5.387450871075017e-9 | 39761537.355418764 |
| 115.0ms | -796612264620780.1 | -0.019120744078643195 |
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 x) (*.f64 x -833192009/1250000000)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 1/2 x) |
1 calls:
| 40.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 30 to 17 computations (43.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 5.387450871075017e-9 | 39761537.355418764 |
| 83.0ms | -796612264620780.1 | -0.019120744078643195 |
Compiled 178 to 49 computations (72.5% saved)
Total -61.7b remaining (-18680.6%)
Threshold costs -61.7b (-18680.6%)
| 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:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 14 to 8 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 78.0ms | 5.387450871075017e-9 | 39761537.355418764 |
| 58.0ms | -796612264620780.1 | -0.019120744078643195 |
Compiled 178 to 49 computations (72.5% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 13× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 382 |
| 1 | 103 | 382 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (*.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 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (*.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 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (*.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 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (/.f64 1/2 x))) |
(if (<=.f64 x -6372898116966241/8) (/.f64 1/2 x) (if (<=.f64 x 6513028459947913/1208925819614629174706176) x (/.f64 1/2 x))) |
x |
Compiled 264 to 108 computations (59.1% saved)
| 1× | egg-herbie |
| 766× | distribute-lft-out_binary64 |
| 612× | fma-def_binary64 |
| 607× | associate-*l*_binary64 |
| 500× | associate-*r*_binary64 |
| 490× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 180 | 568 |
| 2 | 422 | 564 |
| 3 | 1128 | 564 |
| 4 | 4808 | 564 |
| 5 | 7628 | 564 |
| 1× | node limit |
Compiled 62 to 52 computations (16.1% saved)
Compiled 260 to 102 computations (60.8% saved)
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