Time bar (total: 6.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 75% | 25% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
Compiled 175 to 47 computations (73.1% saved)
| 2.5s | 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)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.8b | (*.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)))))))) |
| ▶ | 28.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 235 to 93 computations (60.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
| ✓ | 0.2b | (*.f64 x 7715471019/10000000000) |
| ✓ | 14.5b | (*.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)))))))) |
| ✓ | 28.3b | (/.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 349 to 260 computations (25.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) |
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) |
| 1.0ms | x | @ | inf | (*.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)))))))) |
| 1.0ms | x | @ | -inf | (*.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)))))))) |
| 1× | batch-egg-rewrite |
| 381× | add-sqr-sqrt_binary64 |
| 366× | add-log-exp_binary64 |
| 366× | log1p-expm1-u_binary64 |
| 366× | expm1-log1p-u_binary64 |
| 361× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 177 |
| 1 | 825 | 177 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 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))))))) |
(*.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)))))))) |
(*.f64 x 7715471019/10000000000) |
(fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (/.f64 1 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 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)))))))) 2) (cbrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) (sqrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.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)))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.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)))))) 1) (/.f64 (sqrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 2)) (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.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)))))) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 2)) (cbrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.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)))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 2)) (/.f64 (sqrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.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)))))) 2) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) (/.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 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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)))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.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))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.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))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.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))))))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 7715471019/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 7715471019/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 7715471019/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 7715471019/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 59528493045028898361/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7715471019/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 7715471019/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 7715471019/10000000000)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 1049934947/10000000000 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 1049934947/10000000000 (*.f64 x x))) 1) (-.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)) 1)))))) |
| 1× | egg-herbie |
| 768× | distribute-lft-out_binary64 |
| 618× | fma-def_binary64 |
| 492× | associate-*l*_binary64 |
| 489× | associate-*l/_binary64 |
| 441× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 555 |
| 1 | 182 | 535 |
| 2 | 422 | 531 |
| 3 | 1101 | 531 |
| 4 | 4369 | 531 |
| 5 | 7194 | 531 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
1 |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
(*.f64 7715471019/10000000000 x) |
(*.f64 x 7715471019/10000000000) |
1 |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(*.f64 1049934947/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1049934947/10000000000) |
(*.f64 x (*.f64 x 1049934947/10000000000)) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1049934947/10000000000)) |
(fma.f64 (*.f64 x x) 1049934947/10000000000 1) |
(fma.f64 x (*.f64 x 1049934947/10000000000) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 7715471019/10000000000 (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| ✓ | 14.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 28.3b | (/.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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1.0ms | x | @ | -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))))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 512× | pow1_binary64 |
| 508× | add-cbrt-cube_binary64 |
| 506× | add-cube-cbrt_binary64 |
| 506× | add-exp-log_binary64 |
| 506× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 367 |
| 1 | 1071 | 367 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 1049934947/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 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((#(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 (*.f64 x x) 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (*.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 7715471019/10000000000))))))) |
| 1× | egg-herbie |
| 758× | distribute-lft-out_binary64 |
| 612× | fma-def_binary64 |
| 497× | associate-*l*_binary64 |
| 480× | associate-*l/_binary64 |
| 437× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 180 | 568 |
| 2 | 422 | 564 |
| 3 | 1104 | 564 |
| 4 | 4406 | 564 |
| 5 | 7214 | 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 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -833192009/1250000000 x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(+.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 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 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 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 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (/.f64 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 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 7715471019/10000000000) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
Compiled 12399 to 7410 computations (40.2% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 6 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 172 | 7 | 179 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.8b | (/.f64 1/2 x) |
| ▶ | 31.2b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 28.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ▶ | 32.6b | (+.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))) |
| 31.7b | x | |
| ▶ | 32.6b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 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 500 to 251 computations (49.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 x x) 2) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) 7715471019/10000000000) |
| 0.2b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 28.3b | (/.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)))))) |
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 | (/.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 | @ | inf | (pow.f64 (*.f64 x x) 2) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 x x) 2) |
| 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 | 157 |
| 1 | 1093 | 157 |
| 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 (*.f64 x x) 7715471019/10000000000) |
(pow.f64 (*.f64 x x) 2) |
| 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 x (*.f64 x 7715471019/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 7715471019/10000000000)) (*.f64 x (*.f64 x 7715471019/10000000000))) (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 7715471019/10000000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x x) 2)) (sqrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 2)))))) |
| 1× | egg-herbie |
| 1200× | fma-def_binary64 |
| 595× | associate-/r/_binary64 |
| 483× | sqr-pow_binary64 |
| 462× | associate-/r*_binary64 |
| 301× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 318 |
| 1 | 108 | 318 |
| 2 | 245 | 318 |
| 3 | 564 | 318 |
| 4 | 1417 | 318 |
| 5 | 3803 | 318 |
| 6 | 5379 | 318 |
| 7 | 5808 | 318 |
| 8 | 6185 | 318 |
| 9 | 6552 | 318 |
| 10 | 7137 | 318 |
| 11 | 7912 | 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 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
(pow.f64 x 4) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 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)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 1× | batch-egg-rewrite |
| 744× | pow1_binary64 |
| 702× | add-log-exp_binary64 |
| 702× | log1p-expm1-u_binary64 |
| 702× | expm1-log1p-u_binary64 |
| 688× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 159 | 15 |
| 2 | 1913 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 -833192009/1250000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000)) (+.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 -833192009/1250000000 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x x)) (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -578409327937854629793656729/1953125000000000000000000000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000)) (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 2) (*.f64 x (cbrt.f64 -833192009/1250000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 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 | 15 |
| 1 | 15 | 15 |
| 2 | 32 | 15 |
| 3 | 56 | 15 |
| 4 | 114 | 15 |
| 5 | 326 | 15 |
| 6 | 1180 | 15 |
| 7 | 1869 | 15 |
| 8 | 1956 | 15 |
| 9 | 2089 | 15 |
| 10 | 2247 | 15 |
| 11 | 2486 | 15 |
| 12 | 2808 | 15 |
| 13 | 3231 | 15 |
| 14 | 3733 | 15 |
| 15 | 4335 | 15 |
| 16 | 5057 | 15 |
| 17 | 5378 | 15 |
| 18 | 5664 | 15 |
| 19 | 5886 | 15 |
| 20 | 6064 | 15 |
| 21 | 6144 | 15 |
| 22 | 7084 | 15 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| Outputs |
|---|
x |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 0.5b | (/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 25 to 19 computations (24% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 0.0ms | x | @ | -inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 0.0ms | x | @ | 0 | (+.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)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change 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360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4)))) (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 600041/4773256 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2))) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (neg.f64 (pow.f64 x 3)) (*.f64 x -600041/2386628)) (*.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 (*.f64 x 2) -600041/2386628)) (*.f64 (*.f64 x 2) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 x) -600041/2386628)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 360049201681/5695993210384 (pow.f64 x 6))) (-.f64 (/.f64 1/2 x) (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4)))) (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) (exp.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) 1 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 600041/2386628) x) (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2) (/.f64 (cbrt.f64 600041/2386628) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -600041/2386628 (/.f64 1 (neg.f64 (pow.f64 x 3))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 600041/2386628 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/2 (*.f64 600041/2386628 (pow.f64 x -3))))))) |
| 1× | egg-herbie |
| 1024× | associate-/l*_binary64 |
| 861× | associate-*l/_binary64 |
| 569× | associate-/r/_binary64 |
| 451× | associate-*r/_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 132 |
| 1 | 31 | 132 |
| 2 | 51 | 132 |
| 3 | 83 | 132 |
| 4 | 164 | 132 |
| 5 | 482 | 132 |
| 6 | 2051 | 132 |
| 7 | 2827 | 132 |
| 8 | 2924 | 132 |
| 9 | 3057 | 132 |
| 10 | 3215 | 132 |
| 11 | 3463 | 132 |
| 12 | 7337 | 132 |
| 13 | 7869 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| ✓ | 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| ✓ | 20.4b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| ✓ | 23.4b | (+.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))) |
Compiled 71 to 55 computations (22.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 1.0ms | x | @ | inf | (+.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))) |
| 1.0ms | x | @ | 0 | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 1.0ms | x | @ | 0 | (+.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))) |
| 1.0ms | x | @ | -inf | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 1× | batch-egg-rewrite |
| 889× | fma-def_binary64 |
| 501× | fma-neg_binary64 |
| 327× | expm1-udef_binary64 |
| 327× | log1p-udef_binary64 |
| 193× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 44 |
| 1 | 399 | 44 |
| 2 | 5137 | 44 |
| 1× | node limit |
| Inputs |
|---|
(+.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 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) 1)))))) |
| 1× | egg-herbie |
| 675× | sqr-pow_binary64 |
| 674× | cube-prod_binary64 |
| 624× | unswap-sqr_binary64 |
| 574× | fabs-mul_binary64 |
| 510× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 203 |
| 1 | 61 | 203 |
| 2 | 132 | 203 |
| 3 | 346 | 203 |
| 4 | 623 | 203 |
| 5 | 1367 | 203 |
| 6 | 2034 | 203 |
| 7 | 3001 | 203 |
| 8 | 3155 | 203 |
| 9 | 3402 | 203 |
| 10 | 3717 | 203 |
| 11 | 4198 | 203 |
| 12 | 4877 | 203 |
| 13 | 5771 | 203 |
| 14 | 6417 | 203 |
| 15 | 6926 | 203 |
| 16 | 7327 | 203 |
| 17 | 7700 | 203 |
| 18 | 7916 | 203 |
| 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 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.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 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) |
Compiled 17255 to 11463 computations (33.6% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 455 | 1 | 456 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 456 | 7 | 463 |
| Status | Error | Program |
|---|---|---|
| ✓ | 31.2b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ▶ | 55.9b | (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| ✓ | 30.8b | (/.f64 1/2 x) |
| ✓ | 28.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 32.6b | (+.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))) |
| 31.7b | x | |
| ✓ | 32.6b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
Compiled 236 to 94 computations (60.2% saved)
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) |
| ✓ | 25.6b | (/.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 | |
|---|---|---|---|---|
| 1.0ms | 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 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 2) (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 x 2) 600041/2386628) |
| 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 3192 to 2120 computations (33.6% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 1 | 160 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 160 | 7 | 167 |
| Status | Error | Program |
|---|---|---|
| ▶ | 55.9b | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| ✓ | 30.8b | (/.f64 1/2 x) |
| ✓ | 31.2b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 28.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 32.6b | (+.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))) |
| 31.7b | x | |
| ✓ | 32.6b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
Compiled 234 to 91 computations (61.1% saved)
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))) |
| ✓ | 25.6b | (/.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 |
|---|
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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 600041/1193314 (pow.f64 x 3))) 1))))) (#(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 x (*.f64 x x) (*.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 x x) x (*.f64 x 600041/1193314))))) (#(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 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 (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 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x 600041/1193314))))) (#(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 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x 600041/1193314))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 x 600041/1193314)) 2) (cbrt.f64 (*.f64 x 600041/1193314)) (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 (*.f64 600041/1193314 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/1193314 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (pow.f64 (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)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x 600041/1193314))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 360049201681/1423998302596 (-.f64 600041/1193314 (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 600041/1193314 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 600041/1193314) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) (pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) 2) (cbrt.f64 (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x 600041/1193314)) (sqrt.f64 (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x -600041/1193314) 360049201681/1423998302596)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 360049201681/1423998302596 (pow.f64 x 4)) (/.f64 1 (-.f64 600041/1193314 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -600041/1193314) 360049201681/1423998302596) (+.f64 216044283025868921/1699277110464043144 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 600041/1193314 (*.f64 x x)) (-.f64 360049201681/1423998302596 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (fma.f64 x x -600041/1193314) 360049201681/1423998302596))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 360049201681/1423998302596 (*.f64 600041/1193314 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 360049201681/1423998302596 (pow.f64 x 4)) (-.f64 600041/1193314 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216044283025868921/1699277110464043144 (pow.f64 x 6))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -600041/1193314) 360049201681/1423998302596)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 360049201681/1423998302596 (pow.f64 x 4))) (neg.f64 (-.f64 600041/1193314 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) 360049201681/1423998302596) (fma.f64 x x -600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 600041/1193314) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 600041/1193314) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x 600041/1193314)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -600041/1193314) 360049201681/1423998302596) (+.f64 216044283025868921/1699277110464043144 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 600041/1193314 (*.f64 x x)) (-.f64 360049201681/1423998302596 (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x 600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x 600041/1193314)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x 600041/1193314)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 600041/1193314))))) |
| 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 3498 to 2421 computations (30.8% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 1 | 188 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 187 | 8 | 195 |
| Status | Error | Program |
|---|---|---|
| ✓ | 55.9b | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 (*.f64 x 2) (pow.f64 x 3))) |
| ✓ | 30.8b | (/.f64 1/2 x) |
| ✓ | 31.2b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 55.9b | (/.f64 (*.f64 x (+.f64 600041/1193314 (*.f64 x x))) (*.f64 2 (pow.f64 x 4))) | |
| ✓ | 28.8b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 32.6b | (+.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))) |
| 31.7b | x | |
| ✓ | 32.6b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
Compiled 248 to 101 computations (59.3% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 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 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.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 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)))))))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(/.f64 1/2 x) |
2 calls:
| 22.0ms | x |
| 14.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.0b | 2 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 613 to 264 computations (56.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.8265114617728898e-8 | 375608480607.5155 |
| 54.0ms | -5255584938605.8125 | -221085.56259421536 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 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 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(/.f64 1/2 x) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 51 to 34 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.8265114617728898e-8 | 375608480607.5155 |
| 49.0ms | -53.47302426497777 | -0.26006494643813277 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(/.f64 1/2 x) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 14 to 9 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 1.8265114617728898e-8 | 375608480607.5155 |
| 50.0ms | -53.47302426497777 | -0.26006494643813277 |
Compiled 178 to 49 computations (72.5% saved)
Total -60.7b remaining (-7029.7%)
Threshold costs -60.7b (-7029.7%)
| Inputs |
|---|
x |
(/.f64 1/2 x) |
| Outputs |
|---|
(/.f64 1/2 x) |
x |
(/.f64 1/2 x) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 7 to 4 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.8265114617728898e-8 | 375608480607.5155 |
| 48.0ms | -53.47302426497777 | -0.26006494643813277 |
Compiled 178 to 49 computations (72.5% saved)
| 1× | egg-herbie |
| 17× | *-commutative_binary64 |
| 13× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 367 |
| 1 | 102 | 367 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -84089359017693/16) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (if (<=.f64 x 5520292164898263/302231454903657293676544) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -84089359017693/16) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -84089359017693/16) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2909738639/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) 694555761/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) 70002721/5000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) 1665589/2000000000)) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (if (<=.f64 x 5520292164898263/302231454903657293676544) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (if (<=.f64 x 5520292164898263/302231454903657293676544) (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) (/.f64 1/2 x))) |
(if (<=.f64 x -235176847806765/4398046511104) (/.f64 1/2 x) (if (<=.f64 x 5520292164898263/302231454903657293676544) x (/.f64 1/2 x))) |
x |
Compiled 254 to 103 computations (59.4% saved)
Compiled 250 to 99 computations (60.4% saved)
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