Time bar (total: 10.5s)
| 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)
| 3.1s | 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 |
|---|---|---|
| ▶ | 25.5b | (*.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)))))))) |
| ▶ | 25.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 235 to 93 computations (60.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x 7715471019/10000000000) |
| ✓ | 0.3b | (fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
| ✓ | 13.3b | (*.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)))))))) |
| ✓ | 25.1b | (/.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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (fma.f64 1049934947/10000000000 (*.f64 x x) 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 | @ | 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× | 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)))))))) |
(fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
(*.f64 x 7715471019/10000000000) |
| 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 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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(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 log.f64 (+.f64 1 (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 cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 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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 (*.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)))))) |
((#(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)))))) |
| 1× | egg-herbie |
| 748× | distribute-lft-out_binary64 |
| 618× | fma-def_binary64 |
| 487× | associate-*l*_binary64 |
| 487× | 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 | 4372 | 531 |
| 5 | 7195 | 531 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
1 |
(+.f64 1 (*.f64 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))) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
(*.f64 7715471019/10000000000 x) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 (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 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 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 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 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 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))))) |
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) |
(*.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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 7715471019/10000000000 (*.f64 x x)) |
| ✓ | 0.4b | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| ✓ | 13.3b | (*.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) |
| ✓ | 25.1b | (/.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) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.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 | @ | inf | (*.f64 1049934947/10000000000 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 512× | pow1_binary64 |
| 508× | add-cbrt-cube_binary64 |
| 506× | add-cube-cbrt_binary64 |
| 506× | add-exp-log_binary64 |
| 506× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 367 |
| 1 | 1071 | 367 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(*.f64 1049934947/10000000000 (*.f64 x x)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
| Outputs |
|---|
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2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.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 cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2)) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)))) (*.f64 1789971/10000000000 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2))))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1049934947/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1049934947/10000000000 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 8 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 170 | 9 | 179 |
| Status | Error | Program |
|---|---|---|
| 46.4b | (cbrt.f64 (pow.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)))))))) 3)) | |
| ▶ | 34.3b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ▶ | 48.0b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| ▶ | 33.8b | (/.f64 1/2 x) |
| ▶ | 29.6b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 28.8b | x | |
| ▶ | 25.6b | (/.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)))))) |
| 48.1b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) | |
| ✓ | 25.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 632 to 349 computations (44.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 x x) 3) |
| ✓ | 0.3b | (*.f64 (*.f64 x x) 7715471019/10000000000) |
| 0.4b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 25.1b | (/.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)))))) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 x x) 3) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 x x) 3) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 516× | add-log-exp_binary64 |
| 516× | 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) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5)))) (/.f64 1 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))) (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)) (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))) (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3))) (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 (*.f64 x x) 3)))))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))) (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 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) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x x) 3)) (sqrt.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 3)))))) |
| 1× | egg-herbie |
| 1048× | fma-def_binary64 |
| 597× | associate-/r/_binary64 |
| 506× | unswap-sqr_binary64 |
| 489× | associate-/r*_binary64 |
| 347× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 318 |
| 1 | 108 | 318 |
| 2 | 258 | 318 |
| 3 | 614 | 318 |
| 4 | 1725 | 318 |
| 5 | 4756 | 318 |
| 6 | 6351 | 318 |
| 7 | 6987 | 318 |
| 8 | 7548 | 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 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -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))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)) (/.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 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)) (/.f64 600041/2386628 (pow.f64 x 3)))) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(*.f64 7715471019/10000000000 (pow.f64 x 2)) |
(*.f64 7715471019/10000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x 7715471019/10000000000)) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
(pow.f64 x 6) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1/2 (*.f64 x x)) |
| ✓ | 28.5b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
Compiled 18 to 8 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 1/2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 1/2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| 1× | batch-egg-rewrite |
| 630× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 590× | log1p-expm1-u_binary64 |
| 590× | expm1-log1p-u_binary64 |
| 578× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 131 | 17 |
| 2 | 1649 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(/.f64 1/2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1137× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 12 | 132 |
| 2 | 19 | 132 |
| 3 | 34 | 132 |
| 4 | 74 | 132 |
| 5 | 225 | 132 |
| 6 | 827 | 132 |
| 7 | 2032 | 132 |
| 8 | 2198 | 132 |
| 9 | 2382 | 132 |
| 10 | 2590 | 132 |
| 11 | 2887 | 132 |
| 12 | 3282 | 132 |
| 13 | 3761 | 132 |
| 14 | 4327 | 132 |
| 15 | 5009 | 132 |
| 16 | 5848 | 132 |
| 17 | 6244 | 132 |
| 18 | 6530 | 132 |
| 19 | 6806 | 132 |
| 20 | 6878 | 132 |
| 21 | 6914 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 2.0ms | x | @ | 0 | (*.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) |
| 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 25 to 19 computations (24% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (/.f64 600041/2386628 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 559× | pow1_binary64 |
| 532× | add-log-exp_binary64 |
| 532× | log1p-expm1-u_binary64 |
| 532× | expm1-log1p-u_binary64 |
| 521× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 136 | 7 |
| 2 | 1480 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 3) 1/3)))) (#(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 (pow.f64 x 3) 2386628/600041) -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 cbrt.f64 (pow.f64 (*.f64 600041/2386628 (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)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 15190 to 8839 computations (41.8% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 9 | 239 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 233 | 15 | 248 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.8b | (/.f64 1/2 x) |
| 60.8b | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) | |
| ▶ | 60.2b | (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
| 47.5b | (*.f64 (*.f64 (pow.f64 x -2) 1/2) x) | |
| 25.6b | (/.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 (*.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2)) (pow.f64 (*.f64 x x) 2)))) x) (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 7715471019/10000000000) (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) | |
| ▶ | 29.7b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| ▶ | 34.4b | (+.f64 (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) (/.f64 1/2 x)) |
| 28.8b | x | |
| ✓ | 34.3b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 48.0b | (*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| ✓ | 25.5b | (*.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) |
| ▶ | 25.6b | (/.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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| ✓ | 29.6b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| ▶ | 47.6b | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
| 48.1b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
Compiled 858 to 477 computations (44.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (*.f64 x x) 3) | |
| 0.3b | (*.f64 (*.f64 x x) 7715471019/10000000000) | |
| 0.4b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 25.1b | (/.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 x 6) (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 651 to 364 computations (44.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 1× | batch-egg-rewrite |
| 529× | pow1_binary64 |
| 528× | add-log-exp_binary64 |
| 528× | log1p-expm1-u_binary64 |
| 528× | expm1-log1p-u_binary64 |
| 526× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 131 |
| 1 | 1162 | 131 |
| 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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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))) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6)))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 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× | egg-herbie |
| 1893× | fma-def_binary64 |
| 624× | unswap-sqr_binary64 |
| 533× | times-frac_binary64 |
| 348× | sqr-pow_binary64 |
| 336× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 186 |
| 1 | 96 | 186 |
| 2 | 221 | 186 |
| 3 | 477 | 186 |
| 4 | 970 | 186 |
| 5 | 2400 | 186 |
| 6 | 5298 | 186 |
| 7 | 6265 | 186 |
| 8 | 6432 | 186 |
| 9 | 6680 | 186 |
| 10 | 6995 | 186 |
| 11 | 7492 | 186 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.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 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 1/2 x) (/.f64 1 x)) |
| ✓ | 28.5b | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
Compiled 26 to 18 computations (30.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1/2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/2 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 682× | pow1_binary64 |
| 636× | add-log-exp_binary64 |
| 636× | log1p-expm1-u_binary64 |
| 636× | expm1-log1p-u_binary64 |
| 624× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 171 | 11 |
| 2 | 2127 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
(*.f64 (/.f64 1/2 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 (pow.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 x (sqrt.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1137× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 12 | 132 |
| 2 | 19 | 132 |
| 3 | 34 | 132 |
| 4 | 74 | 132 |
| 5 | 225 | 132 |
| 6 | 827 | 132 |
| 7 | 2032 | 132 |
| 8 | 2198 | 132 |
| 9 | 2382 | 132 |
| 10 | 2590 | 132 |
| 11 | 2887 | 132 |
| 12 | 3282 | 132 |
| 13 | 3761 | 132 |
| 14 | 4327 | 132 |
| 15 | 5009 | 132 |
| 16 | 5848 | 132 |
| 17 | 6244 | 132 |
| 18 | 6530 | 132 |
| 19 | 6806 | 132 |
| 20 | 6878 | 132 |
| 21 | 6914 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.6b | (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
| ✓ | 28.8b | (/.f64 x (*.f64 x x)) |
Compiled 39 to 17 computations (56.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
| 0.0ms | x | @ | inf | (/.f64 x (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
| 1× | batch-egg-rewrite |
| 986× | pow1_binary64 |
| 927× | add-log-exp_binary64 |
| 926× | log1p-expm1-u_binary64 |
| 926× | expm1-log1p-u_binary64 |
| 105× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 206 | 8 |
| 2 | 2924 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (sqrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1/2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (-.f64 (+.f64 1 (/.f64 1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))) (neg.f64 (+.f64 (/.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) -1))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 96 |
| 1 | 8 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
| Outputs |
|---|
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| ✓ | 1.4b | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
Compiled 40 to 33 computations (17.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| 1× | batch-egg-rewrite |
| 690× | fma-def_binary64 |
| 412× | log-prod_binary64 |
| 352× | fma-neg_binary64 |
| 281× | pow-prod-down_binary64 |
| 254× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 235 | 17 |
| 2 | 3234 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (-.f64 1 (-.f64 1 x))))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 531× | cube-prod_binary64 |
| 473× | fabs-mul_binary64 |
| 444× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 171 |
| 1 | 18 | 171 |
| 2 | 36 | 171 |
| 3 | 74 | 171 |
| 4 | 142 | 171 |
| 5 | 373 | 171 |
| 6 | 1282 | 171 |
| 7 | 1990 | 171 |
| 8 | 2077 | 171 |
| 9 | 2210 | 171 |
| 10 | 2368 | 171 |
| 11 | 2609 | 171 |
| 12 | 2931 | 171 |
| 13 | 3354 | 171 |
| 14 | 3857 | 171 |
| 15 | 4459 | 171 |
| 16 | 5179 | 171 |
| 17 | 5502 | 171 |
| 18 | 5786 | 171 |
| 19 | 6008 | 171 |
| 20 | 6190 | 171 |
| 21 | 6272 | 171 |
| 22 | 7212 | 171 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 600041/2386628 (pow.f64 x -3)) |
| ✓ | 1.5b | (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) |
Compiled 46 to 38 computations (17.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 600041/2386628 (pow.f64 x -3)) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) |
| 0.0ms | x | @ | 0 | (*.f64 600041/2386628 (pow.f64 x -3)) |
| 1× | batch-egg-rewrite |
| 907× | pow1_binary64 |
| 859× | add-log-exp_binary64 |
| 858× | log1p-expm1-u_binary64 |
| 858× | expm1-log1p-u_binary64 |
| 845× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 203 | 14 |
| 2 | 2600 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 600041/2386628 (pow.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) 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 600041/2386628 (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 *.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -6)) (*.f64 (cbrt.f64 (pow.f64 x -3)) 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -3))) (cbrt.f64 (*.f64 (pow.f64 x -6) 360049201681/5695993210384)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -6) 360049201681/5695993210384)) (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(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 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (*.f64 (pow.f64 x -3/2) 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -6))) (cbrt.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (pow.f64 x -3/2)) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (-.f64 1 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1) (-.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) (fma.f64 600041/2386628 (pow.f64 x -3) -1)) (fma.f64 600041/2386628 (pow.f64 x -3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) (fma.f64 600041/2386628 (pow.f64 x -3) -1))) (-.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) -1)))))) (#(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 (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3) 216044283025868921/13594216883712345152) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -6) 360049201681/5695993210384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -3)) 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3) 216044283025868921/13594216883712345152))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) 2) (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 600041/2386628 (pow.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)) (/.f64 1 (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (-.f64 1 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1) (-.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) (fma.f64 600041/2386628 (pow.f64 x -3) -1)) (fma.f64 600041/2386628 (pow.f64 x -3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 600041/2386628 (pow.f64 x -3) -1) (fma.f64 600041/2386628 (pow.f64 x -3) -1))) (-.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) -1)))))) (#(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 (cbrt.f64 (*.f64 600041/2386628 (pow.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3) 216044283025868921/13594216883712345152) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -6) 360049201681/5695993210384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -3)) 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3) 216044283025868921/13594216883712345152))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) 2) (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) 1)) -1))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 469× | fabs-mul_binary64 |
| 455× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 14 | 168 |
| 2 | 25 | 168 |
| 3 | 39 | 168 |
| 4 | 74 | 168 |
| 5 | 216 | 168 |
| 6 | 779 | 168 |
| 7 | 2257 | 168 |
| 8 | 2345 | 168 |
| 9 | 2478 | 168 |
| 10 | 2636 | 168 |
| 11 | 2895 | 168 |
| 12 | 3223 | 168 |
| 13 | 3645 | 168 |
| 14 | 4148 | 168 |
| 15 | 4749 | 168 |
| 16 | 5467 | 168 |
| 17 | 5790 | 168 |
| 18 | 6072 | 168 |
| 19 | 6296 | 168 |
| 20 | 6472 | 168 |
| 21 | 6554 | 168 |
| 22 | 7494 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
Compiled 17562 to 11379 computations (35.2% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 505 | 7 | 512 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 5 | 9 |
| Total | 510 | 17 | 527 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.8b | (/.f64 1/2 x) |
| ▶ | 60.8b | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
| ▶ | 60.2b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
| ▶ | 25.6b | (/.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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (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)))))) |
| 25.6b | (/.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 (*.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2)) (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 x 6) (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)))))) | |
| 47.5b | (*.f64 (*.f64 (pow.f64 x -2) 1/2) x) | |
| 34.2b | (*.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1/2 x) 2))) | |
| ▶ | 60.9b | (fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
| ✓ | 34.4b | (+.f64 (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) (/.f64 1/2 x)) |
| 28.8b | x | |
| 29.6b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) | |
| ▶ | 59.8b | (+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
| ✓ | 47.6b | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
| ✓ | 29.7b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| 48.1b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) | |
| ✓ | 34.3b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| ✓ | 25.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 916 to 531 computations (42% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (*.f64 x x) 3) | |
| 0.3b | (*.f64 (*.f64 x x) 7715471019/10000000000) | |
| 0.4b | (*.f64 1049934947/10000000000 (*.f64 x x)) | |
| ✓ | 25.1b | (/.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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (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 648 to 367 computations (43.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | 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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (+.f64 (*.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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| 1× | batch-egg-rewrite |
| 530× | pow1_binary64 |
| 529× | add-log-exp_binary64 |
| 529× | log1p-expm1-u_binary64 |
| 529× | expm1-log1p-u_binary64 |
| 527× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 131 |
| 1 | 1185 | 131 |
| 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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.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 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))) (cbrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))) (cbrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))) (sqrt.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))) (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))) (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x (+.f64 (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (*.f64 x x)) (fma.f64 106015151/2500000000 (pow.f64 (*.f64 x x) 2) (*.f64 36322091/5000000000 (pow.f64 x 6))))) (+.f64 (*.f64 2532017/5000000000 (*.f64 x (*.f64 x (pow.f64 x 6)))) (*.f64 1789971/10000000000 (pow.f64 (*.f64 x x) 5))))) (+.f64 (+.f64 1 (fma.f64 (*.f64 x x) 7715471019/10000000000 (*.f64 (pow.f64 (*.f64 x x) 2) 2909738639/10000000000))) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 70002721/5000000000))) (fma.f64 (pow.f64 (*.f64 x x) 5) 1665589/2000000000 (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 5))))))))))))) |
| 1× | egg-herbie |
| 1893× | fma-def_binary64 |
| 624× | unswap-sqr_binary64 |
| 533× | times-frac_binary64 |
| 348× | sqr-pow_binary64 |
| 336× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 186 |
| 1 | 96 | 186 |
| 2 | 221 | 186 |
| 3 | 477 | 186 |
| 4 | 970 | 186 |
| 5 | 2400 | 186 |
| 6 | 5298 | 186 |
| 7 | 6265 | 186 |
| 8 | 6432 | 186 |
| 9 | 6680 | 186 |
| 10 | 6995 | 186 |
| 11 | 7492 | 186 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.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 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.6b | (+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
| 1× | batch-egg-rewrite |
| 822× | pow1_binary64 |
| 772× | add-log-exp_binary64 |
| 772× | log1p-expm1-u_binary64 |
| 772× | expm1-log1p-u_binary64 |
| 761× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 7 |
| 1 | 178 | 4 |
| 2 | 2303 | 4 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (+.f64 (/.f64 1/2 x) -2)) (/.f64 1 (+.f64 (/.f64 1/2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 1 (+.f64 (/.f64 1/2 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) -1) (/.f64 1 (+.f64 (/.f64 1/2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) -2) (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (+.f64 (/.f64 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) -1) (+.f64 (/.f64 1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 1 (+.f64 (/.f64 1/2 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) -1)) (neg.f64 (+.f64 (/.f64 1/2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) 0) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 0 (*.f64 (/.f64 1/2 x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2)) (-.f64 1 (+.f64 (/.f64 1/2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) 0) (-.f64 (/.f64 1/2 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/2 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1/2 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1)) (sqrt.f64 (+.f64 (/.f64 1/2 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) 0))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1/2 (*.f64 x x)) | |
| ✓ | 1.4b | (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) |
| ✓ | 15.2b | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
Compiled 39 to 23 computations (41% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
| 1× | batch-egg-rewrite |
| 992× | pow1_binary64 |
| 933× | add-log-exp_binary64 |
| 932× | log1p-expm1-u_binary64 |
| 932× | expm1-log1p-u_binary64 |
| 104× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 205 | 17 |
| 2 | 2864 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 1/2 (pow.f64 x -2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (+.f64 (/.f64 (/.f64 1/2 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1) x) (+.f64 (/.f64 (/.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (+.f64 (/.f64 (/.f64 1/2 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1)) (+.f64 (/.f64 (/.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 1/2) x) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 1/2 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (/.f64 1/2 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1/2 x) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 1/2 x) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/2 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/2 (pow.f64 x -2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/2 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 x -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) x)) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (+.f64 (/.f64 (/.f64 1/2 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (/.f64 (/.f64 1/2 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (+.f64 (/.f64 (/.f64 1/2 x) x) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (+.f64 (/.f64 (/.f64 1/2 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1) (+.f64 (/.f64 (/.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (+.f64 (/.f64 (/.f64 1/2 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (pow.f64 x -2) -1) (fma.f64 1/2 (pow.f64 x -2) -1)) (fma.f64 1/2 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/2 (pow.f64 x -2) -1) (fma.f64 1/2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 1/2 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1/2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 1/2 (pow.f64 x -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) -1))))) |
| 1× | egg-herbie |
| 1137× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 12 | 132 |
| 2 | 19 | 132 |
| 3 | 34 | 132 |
| 4 | 74 | 132 |
| 5 | 225 | 132 |
| 6 | 827 | 132 |
| 7 | 2032 | 132 |
| 8 | 2198 | 132 |
| 9 | 2382 | 132 |
| 10 | 2590 | 132 |
| 11 | 2887 | 132 |
| 12 | 3282 | 132 |
| 13 | 3761 | 132 |
| 14 | 4327 | 132 |
| 15 | 5009 | 132 |
| 16 | 5848 | 132 |
| 17 | 6244 | 132 |
| 18 | 6530 | 132 |
| 19 | 6806 | 132 |
| 20 | 6878 | 132 |
| 21 | 6914 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (+.f64 (/.f64 1/2 x) -1)) |
| ✓ | 0.2b | (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) |
| ✓ | 3.6b | (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) |
| ✓ | 15.3b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
Compiled 65 to 54 computations (16.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) |
| 1× | batch-egg-rewrite |
| 806× | prod-diff_binary64 |
| 573× | log-prod_binary64 |
| 407× | fma-def_binary64 |
| 252× | log-div_binary64 |
| 238× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 58 |
| 1 | 262 | 37 |
| 2 | 3932 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) |
(-.f64 1 (+.f64 (/.f64 1/2 x) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 2 (/.f64 1/2 x))))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 2 (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (sqrt.f64 (-.f64 2 (/.f64 1/2 x))))) (/.f64 (+.f64 (/.f64 1/2 x) -1) (sqrt.f64 (-.f64 2 (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 2 (/.f64 1/2 x))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 2) (-.f64 2 (/.f64 1/2 x)))))))) 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| 1× | egg-herbie |
| 904× | fma-neg_binary64 |
| 660× | associate-/l/_binary64 |
| 528× | associate-*l/_binary64 |
| 503× | div-sub_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 381 |
| 1 | 50 | 381 |
| 2 | 91 | 381 |
| 3 | 180 | 381 |
| 4 | 427 | 381 |
| 5 | 1419 | 381 |
| 6 | 5709 | 369 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 -1/4 (pow.f64 x 2)) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/4 (pow.f64 x 2)) |
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(/.f64 -1/2 x) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
2 |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
2 |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) |
(/.f64 1/4 (pow.f64 x 2)) |
(/.f64 1/4 (*.f64 x x)) |
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1/4 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 x) -1) 1) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1/4 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 x) -1) 1) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1/4 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 x) -1) 1) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1/4 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 x) -1) 1) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1/4 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 x) -1) 1) |
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1/4 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1 x))) |
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1/4 x) -1) 1) |
(/.f64 -1/2 x) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
2 |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
2 |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
(-.f64 2 (*.f64 1/2 (/.f64 1 x))) |
(-.f64 2 (/.f64 1/2 x)) |
(+.f64 2 (/.f64 -1/2 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x -833192009/1250000000) |
| ✓ | 0.1b | (fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
| ✓ | 2.2b | (-.f64 1 (-.f64 1 x)) |
Compiled 30 to 19 computations (36.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (-.f64 1 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 x -833192009/1250000000) |
| 1× | batch-egg-rewrite |
| 925× | pow1_binary64 |
| 868× | add-log-exp_binary64 |
| 867× | log1p-expm1-u_binary64 |
| 867× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 196 | 15 |
| 2 | 2546 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (-.f64 1 x)) |
(fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
(*.f64 x -833192009/1250000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (-.f64 1 (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (log.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x))) (expm1.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 0 (-.f64 (*.f64 x x) (*.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x)))) (-.f64 1 (expm1.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1) (expm1.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))) 2) (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))) (sqrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -833192009/1250000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -833192009/1250000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -833192009/1250000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -833192009/1250000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -833192009/1250000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -833192009/1250000000))))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 531× | cube-prod_binary64 |
| 471× | fabs-mul_binary64 |
| 442× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 147 |
| 1 | 20 | 147 |
| 2 | 36 | 147 |
| 3 | 72 | 147 |
| 4 | 140 | 147 |
| 5 | 367 | 147 |
| 6 | 1291 | 147 |
| 7 | 2002 | 147 |
| 8 | 2089 | 147 |
| 9 | 2222 | 147 |
| 10 | 2380 | 147 |
| 11 | 2621 | 147 |
| 12 | 2943 | 147 |
| 13 | 3364 | 147 |
| 14 | 3865 | 147 |
| 15 | 4464 | 147 |
| 16 | 5182 | 147 |
| 17 | 5507 | 147 |
| 18 | 5791 | 147 |
| 19 | 6013 | 147 |
| 20 | 6193 | 147 |
| 21 | 6275 | 147 |
| 22 | 7215 | 147 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 -833192009/1250000000 x) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
(*.f64 -833192009/1250000000 x) |
(*.f64 x -833192009/1250000000) |
Compiled 26091 to 19306 computations (26% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 6 | 647 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 646 | 18 | 664 |
| Status | Error | Program |
|---|---|---|
| 34.2b | (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) | |
| ✓ | 33.8b | (/.f64 1/2 x) |
| ✓ | 60.8b | (*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
| ✓ | 59.8b | (+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
| 25.6b | (/.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 x 6) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (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)))))) | |
| 47.5b | (*.f64 (*.f64 (pow.f64 x -2) 1/2) x) | |
| ✓ | 29.7b | (+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
| ✓ | 60.9b | (fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
| ✓ | 34.4b | (+.f64 (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) (/.f64 1/2 x)) |
| 28.8b | x | |
| ✓ | 34.3b | (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
| 60.8b | (-.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1) (-.f64 1 x)) | |
| 29.6b | (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) | |
| 60.2b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (+.f64 2 (/.f64 -1/2 x))) | |
| ✓ | 47.6b | (*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
| 25.6b | (/.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 (*.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2)) (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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (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)))))) | |
| 48.1b | (*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) | |
| ✓ | 25.5b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 577 to 316 computations (45.2% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1/2 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (+.f64 2 (/.f64 -1/2 x))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -2) 1/2) x) |
(*.f64 (*.f64 (pow.f64 x -2) 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 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1) (-.f64 1 x)) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
(fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
(+.f64 (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) (/.f64 1/2 x)) |
(*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 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 (+.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 x 6) 694555761/10000000000) (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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 (+.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 (*.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2)) (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 x 6)) 70002721/5000000000))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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 (*.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2)) (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 x 6) (pow.f64 (*.f64 x x) 2)) 1665589/2000000000) (*.f64 1789971/5000000000 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 x x) 2)))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 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 (*.f64 (pow.f64 (*.f64 x x) 3/2) (pow.f64 (*.f64 x x) 3/2)) (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)))))))) |
(cbrt.f64 (pow.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)))))))) 3)) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
2 calls:
| 48.0ms | x |
| 29.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.5b | 2 | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
Compiled 1529 to 825 computations (46% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 0.011197212236638863 | 3830230.239227052 |
| 70.0ms | -18799354084.00513 | -2760079.6569678457 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1/2 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (+.f64 2 (/.f64 -1/2 x))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -2) 1/2) x) |
(*.f64 (*.f64 (pow.f64 x -2) 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 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1) (-.f64 1 x)) |
(+.f64 (-.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1) x) |
(fma.f64 (*.f64 x x) (*.f64 x -833192009/1250000000) (-.f64 1 (-.f64 1 x))) |
(+.f64 (-.f64 (+.f64 1 (*.f64 600041/2386628 (pow.f64 x -3))) 1) (/.f64 1/2 x)) |
(*.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) x) |
| Outputs |
|---|
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) |
1 calls:
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 226 to 164 computations (27.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 0.011197212236638863 | 3830230.239227052 |
| 52.0ms | -32.77757086058205 | -0.14079513150092346 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1/2 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (+.f64 2 (/.f64 -1/2 x))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
(*.f64 (*.f64 (pow.f64 x -2) 1/2) x) |
(*.f64 (*.f64 (pow.f64 x -2) 1/2) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))) |
1 calls:
| 34.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 157 to 113 computations (28% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 0.011197212236638863 | 3830230.239227052 |
| 73.0ms | -32.77757086058205 | -0.14079513150092346 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(*.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1) x) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x (*.f64 x x)))) 1) |
| Outputs |
|---|
(/.f64 1/2 x) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) |
(/.f64 1/2 x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 62 to 38 computations (38.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 95.0ms | 0.011197212236638863 | 3830230.239227052 |
| 68.0ms | -32.77757086058205 | -0.14079513150092346 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(+.f64 (+.f64 (/.f64 1/2 x) -1) 1) |
(*.f64 (/.f64 1/2 (*.f64 x x)) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
x |
(/.f64 1/2 x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
Compiled 22 to 14 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 0.011197212236638863 | 3830230.239227052 |
| 49.0ms | -32.77757086058205 | -0.14079513150092346 |
Compiled 178 to 49 computations (72.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.8b | 1 | x |
Compiled 5 to 2 computations (60% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | distribute-neg-in_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 445 |
| 1 | 119 | 445 |
| 2 | 126 | 445 |
| 3 | 134 | 445 |
| 4 | 137 | 445 |
| 5 | 138 | 445 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -4928137876997441/262144) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -4613032997307105/140737488355328) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -4928137876997441/262144) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -4928137876997441/262144) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (*.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 2532017/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 1789971/10000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 7715471019/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2909738639/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) 694555761/10000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) 70002721/5000000000)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) 1665589/2000000000)) (*.f64 1789971/5000000000 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))))) |
(if (<=.f64 x -4613032997307105/140737488355328) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)))) |
(if (<=.f64 x -4613032997307105/140737488355328) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1))))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (*.f64 x x))) (+.f64 1 (+.f64 1 (/.f64 -1/2 x)))))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000)) x) (/.f64 1/2 x))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -833192009/1250000000))) (/.f64 1/2 x))) |
(if (<=.f64 x -4613032997307105/140737488355328) (/.f64 1/2 x) (if (<=.f64 x 3227376694816969/288230376151711744) x (/.f64 1/2 x))) |
x |
Compiled 308 to 139 computations (54.9% saved)
| 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 |
Compiled 62 to 52 computations (16.1% saved)
Compiled 303 to 131 computations (56.8% saved)
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