Time bar (total: 9.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 75% | 25% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
Compiled 175 to 47 computations (73.1% saved)
| 1.9s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 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 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
Compiled 175 to 47 computations (73.1% saved)
| 1× | egg-herbie |
| 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 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
Compiled 262 to 100 computations (61.8% 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 |
|---|---|---|
| ▶ | 29.3b | (*.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) |
| ▶ | 29.3b | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
Compiled 263 to 102 computations (61.2% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))) | |
| 0.0b | (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) | |
| 0.0b | (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x))) | |
| 0.0b | (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))) | |
| ✓ | 0.2b | (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))) |
| ✓ | 0.2b | (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x))))))) |
| ✓ | 0.3b | (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))) |
| ✓ | 28.8b | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
Compiled 477 to 283 computations (40.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
| 1.0ms | x | @ | inf | (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))) |
| 1× | batch-egg-rewrite |
| 41× | egg-rr |
| 30× | egg-rr |
| 30× | egg-rr |
| 24× | egg-rr |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))) |
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x))))))) |
(fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 1789971/10000000000 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) x) (-.f64 (*.f64 -1789971/5000000000 (pow.f64 (*.f64 x x) 6)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 (*.f64 -1789971/5000000000 (pow.f64 (*.f64 x x) 6)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))) (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)) (*.f64 (pow.f64 x 6) 694555761/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (+.f64 (*.f64 (pow.f64 x 6) 694555761/10000000000) 1)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))) (*.f64 (pow.f64 x 8) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 8) 70002721/5000000000) (+.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)) (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)) (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (*.f64 (pow.f64 x 6) 694555761/10000000000)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (+.f64 (*.f64 (pow.f64 x 6) 694555761/10000000000) (*.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (+.f64 (*.f64 (pow.f64 x 8) 70002721/5000000000) (*.f64 (pow.f64 x 6) 694555761/10000000000))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 8) 70002721/5000000000) (*.f64 (pow.f64 x 6) 694555761/10000000000)) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1) (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (cbrt.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 2)) (cbrt.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))))) |
| 1× | egg-herbie |
| 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))))) |
1 |
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6))))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4))))) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6))))) |
(*.f64 1665589/2000000000 (pow.f64 x 10)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))) |
(*.f64 1665589/2000000000 (pow.f64 x 10)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))) |
| 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 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.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))) |
(fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.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))) |
(fma.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)))) |
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.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 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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)))) |
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.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 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x)))) |
1 |
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2))) |
(fma.f64 7715471019/10000000000 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 7715471019/10000000000 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x))))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6))) |
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 694555761/10000000000 (pow.f64 x 6))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6)))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 694555761/10000000000 (pow.f64 x 6)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x))))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6))) |
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 694555761/10000000000 (pow.f64 x 6))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6)))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 694555761/10000000000 (pow.f64 x 6)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x))))) |
1 |
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2))) |
(fma.f64 1049934947/10000000000 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 1049934947/10000000000 (*.f64 x x)))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4))))) |
(+.f64 (fma.f64 36322091/5000000000 (pow.f64 x 6) 1) (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 1049934947/10000000000 (*.f64 x x)))) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8))) |
(fma.f64 36322091/5000000000 (pow.f64 x 6) (*.f64 2532017/5000000000 (pow.f64 x 8))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))) |
(fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8)))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))) |
(fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) 1049934947/10000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8))))) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8))) |
(fma.f64 36322091/5000000000 (pow.f64 x 6) (*.f64 2532017/5000000000 (pow.f64 x 8))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))) |
(fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8)))) |
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))) |
(fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) 1049934947/10000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2))) |
(fma.f64 7715471019/10000000000 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 7715471019/10000000000 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x))))) |
(*.f64 1665589/2000000000 (pow.f64 x 10)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10))) |
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 1665589/2000000000 (pow.f64 x 10))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10))))) |
(*.f64 1665589/2000000000 (pow.f64 x 10)) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10))) |
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 1665589/2000000000 (pow.f64 x 10))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10)))) |
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))) |
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) | |
| 0.0b | (+.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)))) | |
| 0.0b | (+.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)))) | |
| 0.0b | (+.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)))) | |
| ✓ | 0.3b | (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| ✓ | 0.3b | (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| ✓ | 14.3b | (*.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) |
| ✓ | 28.7b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
Compiled 1045 to 244 computations (76.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))))) |
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| 1.0ms | x | @ | 0 | (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 23× | egg-rr |
| 23× | egg-rr |
| 21× | egg-rr |
| 21× | egg-rr |
| Inputs |
|---|
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(*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.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))) |
| Outputs |
|---|
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7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) 3) (/.f64 1 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 70002721/5000000000) (*.f64 (cbrt.f64 (*.f64 70002721/5000000000 70002721/5000000000)) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 2)) (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 70002721/5000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 70002721/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) (pow.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2) (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) 2) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 3) x) (*.f64 x 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 70002721/5000000000) (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2532017/5000000000) (*.f64 (cbrt.f64 (*.f64 2532017/5000000000 2532017/5000000000)) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2532017/5000000000) (pow.f64 (*.f64 x x) 2)) (*.f64 (sqrt.f64 2532017/5000000000) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 2532017/5000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 2532017/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) (pow.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2) (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) 2) 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 3) x) (*.f64 x 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2532017/5000000000) (*.f64 (sqrt.f64 2532017/5000000000) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3)))))) |
| 1× | egg-herbie |
| 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 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(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 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 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))))) |
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x))) |
(+.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)))))) |
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 1/2 (pow.f64 x -2) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -8) (*.f64 600041/2386628 (pow.f64 x -4))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 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))))) |
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x))) |
(+.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)))))) |
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 1/2 (pow.f64 x -2) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -8) (*.f64 600041/2386628 (pow.f64 x -4))))) |
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)) |
(+.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 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.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))) |
(fma.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)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.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 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.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 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x))))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x)))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
(*.f64 2532017/5000000000 (pow.f64 x 8)) |
Compiled 26001 to 14027 computations (46.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 284 | 8 | 292 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 285 | 9 | 294 |
| Status | Error | Program |
|---|---|---|
| 31.7b | (+.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))) | |
| ✓ | 29.3b | (*.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) |
| ▶ | 31.8b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 31.5b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) | |
| ▶ | 31.8b | (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
| 30.9b | x | |
| ▶ | 30.5b | (*.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ▶ | 32.2b | (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| ▶ | 31.6b | (/.f64 1/2 x) |
Compiled 658 to 267 computations (59.4% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 0.0b | (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) | |
| 0.0b | (+.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)))) | |
| 0.0b | (+.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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)))) | |
| ✓ | 0.3b | (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) |
| ✓ | 5.3b | (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3)) |
| ✓ | 14.3b | (*.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 28.7b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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 1067 to 329 computations (69.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3)) |
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3)) |
| 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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 23× | egg-rr |
| 23× | egg-rr |
| 20× | egg-rr |
| 20× | egg-rr |
| 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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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) |
(pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3)) |
(*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 2) (/.f64 1 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 2) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (/.f64 1 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))) 2) (cbrt.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (/.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 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(*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))) (#(struct:change 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| 1× | egg-herbie |
| 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 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))))) |
(/.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 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))))) |
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 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))))) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))) |
(+.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (/.f64 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))))) |
(-.f64 (fma.f64 1/2 (pow.f64 x -2) (fma.f64 (pow.f64 x -8) 153565447/7159884 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6))))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -6)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))) |
(+.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (/.f64 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6)))))) |
(-.f64 (fma.f64 1/2 (pow.f64 x -2) (fma.f64 (pow.f64 x -8) 153565447/7159884 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6))))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (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)) |
(+.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 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))) |
(+.f64 (fma.f64 168377530352551/8543989815576 (pow.f64 x -5) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 (*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x -5)) -2500000000/1789971)) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))))) |
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 153565447/7159884 (pow.f64 x -7) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -5)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))) |
(+.f64 (fma.f64 168377530352551/8543989815576 (pow.f64 x -5) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 (*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x -5)) -2500000000/1789971)) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5)))))) |
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 153565447/7159884 (pow.f64 x -7) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -5)))) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) | |
| ✓ | 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.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 -833192009/1250000000 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| 1× | batch-egg-rewrite |
| 45× | egg-rr |
| 28× | egg-rr |
| 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 0 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (pow.f64 x 3)) (cbrt.f64 -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (*.f64 (cbrt.f64 -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 (pow.f64 x 3) (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (/.f64 1 -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2/3) (*.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (-.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (+.f64 (pow.f64 x 2/3) (*.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (cbrt.f64 (neg.f64 x))))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2/3) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2) 2)))) (#(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 (neg.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 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.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 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 (*.f64 (cbrt.f64 -833192009/1250000000) x) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 2/3) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 2/3) (cbrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (*.f64 (cbrt.f64 -833192009/1250000000) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 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 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 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 x 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1 x))))) |
| 1× | egg-herbie |
| 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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) | |
| 0.0b | (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) | |
| ✓ | 0.0b | (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
| ✓ | 0.1b | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
Compiled 21 to 11 computations (47.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
| 0.0ms | x | @ | 0 | (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
| 0.0ms | x | @ | 0 | (fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
| 0.0ms | x | @ | inf | (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
| 1× | batch-egg-rewrite |
| 72× | egg-rr |
| 38× | egg-rr |
| Inputs |
|---|
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (-.f64 1/2 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 9 (-.f64 9 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 3 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 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((x fma.f64 -833192009/1250000000 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2/3)) (pow.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -833192009/1250000000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (*.f64 -833192009/1250000000 (*.f64 x x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3) (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 2/3) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) (*.f64 (pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2/3) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 2/3) x) (cbrt.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 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-833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1)) (/.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000) (fma.f64 (*.f64 -833192009/1250000000 x) x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1))) (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (fma.f64 (*.f64 -833192009/1250000000 x) x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1)) (-.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000) (fma.f64 (*.f64 -833192009/1250000000 x) x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x))))) |
| 1× | egg-herbie |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 -833192009/1250000000 x) x) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 -833192009/1250000000 x) x) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (pow.f64 x 3)) | |
| 0.2b | (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) | |
| 0.0b | (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) | |
| ✓ | 0.0b | (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| ✓ | 0.2b | (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) |
| ✓ | 0.3b | (/.f64 1 (pow.f64 x 3)) |
Compiled 42 to 34 computations (19% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 3)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) |
| 1× | batch-egg-rewrite |
| 101× | egg-rr |
| 61× | egg-rr |
| 48× | egg-rr |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 3)) |
(*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(/.f64 1/2 x) |
Compiled 14472 to 8424 computations (41.8% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 7 | 501 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 499 | 11 | 510 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.7b | (+.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))) |
| ✓ | 29.3b | (*.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) |
| 31.8b | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) | |
| ▶ | 31.8b | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| 30.9b | x | |
| 31.8b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) | |
| 31.5b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) | |
| ✓ | 31.6b | (/.f64 1/2 x) |
| ▶ | 29.3b | (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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) |
| ▶ | 53.7b | (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| ▶ | 32.2b | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
Compiled 714 to 298 computations (58.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) | |
| 0.0b | (+.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) | |
| 0.0b | (+.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)))) | |
| 0.0b | (+.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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)))) | |
| ✓ | 0.3b | (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) |
| ✓ | 13.3b | (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) |
| ✓ | 14.3b | (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| ✓ | 28.7b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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 1025 to 287 computations (72% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) |
| 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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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 (+.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 1× | batch-egg-rewrite |
| 23× | egg-rr |
| 23× | egg-rr |
| 23× | egg-rr |
| 11× | egg-rr |
| 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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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) |
(cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) |
(*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 36322091/5000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x))))))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 36322091/5000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x))))))))) 2) (/.f64 1 (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) (+.f64 4 2)) (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1665589/2000000000 (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))))))) 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694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 36322091/5000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x)) (neg.f64 (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) (+.f64 4 2)) (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1665589/2000000000 (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) 4) 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 70002721/5000000000) (*.f64 (cbrt.f64 (*.f64 70002721/5000000000 70002721/5000000000)) (pow.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 70002721/5000000000) (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 3) x) (*.f64 x 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 70002721/5000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 70002721/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 2)) (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) (cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 2)) (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))) 2) (cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 70002721/5000000000) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 4)) (cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 3) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 4)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 4)) 2) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)) 3)))))) |
| 1× | egg-herbie |
| 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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8)))) |
(/.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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8)))) |
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 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (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 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7)))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))) |
(/.f64 1/2 (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)))) |
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) |
(fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8)))) |
(-.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (*.f64 746208004415687336459/30586987988352776592 (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)))) |
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) |
(fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8)))) |
(-.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (*.f64 746208004415687336459/30586987988352776592 (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 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.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))) |
(fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 746208004415687336459/30586987988352776592 (pow.f64 x -7))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) |
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 746208004415687336459/30586987988352776592 (pow.f64 x -7))) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
(*.f64 70002721/5000000000 (pow.f64 x 8)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (/.f64 600041/2386628 (*.f64 x x)) | |
| 0.0b | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) | |
| ✓ | 0.0b | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
| ✓ | 0.6b | (/.f64 600041/2386628 (*.f64 x x)) |
Compiled 28 to 15 computations (46.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 600041/2386628 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
| 0.0ms | x | @ | inf | (/.f64 600041/2386628 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 100× | egg-rr |
| 64× | egg-rr |
| Inputs |
|---|
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 600041/2386628 (*.f64 x x)) 0) (/.f64 600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 600041/2386628 (*.f64 x x)) (*.f64 (/.f64 600041/2386628 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 600041/2386628 (*.f64 x x))) (/.f64 600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 600041/2386628 (*.f64 x x)) (*.f64 0 (/.f64 600041/2386628 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 x x))) (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 (*.f64 x x) 600041/2386628)) (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 600041/2386628 (*.f64 x x)) (/.f64 0 (/.f64 (*.f64 x x) 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 600041/2386628 (*.f64 x x))) (/.f64 (cbrt.f64 (/.f64 360049201681/5695993210384 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 360049201681/5695993210384 x)) x) (cbrt.f64 (/.f64 600041/2386628 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -600041/2386628 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) x) (/.f64 (sqrt.f64 600041/2386628) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 600041/2386628) (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 600041/2386628) x) (/.f64 (cbrt.f64 360049201681/5695993210384) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 600041/2386628 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 600041/2386628 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) -600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x 4))) (*.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 360049201681/5695993210384) x) (/.f64 (cbrt.f64 600041/2386628) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -600041/2386628 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -2)) (sqrt.f64 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) -1) (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) 1) (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 600041/2386628)) (*.f64 (/.f64 -1 x) (sqrt.f64 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 600041/2386628)) (*.f64 (/.f64 1 x) (sqrt.f64 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 600041/2386628))) (*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 600041/2386628))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 600041/2386628))) (*.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 600041/2386628))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 600041/2386628) (/.f64 -1 x)) (*.f64 (sqrt.f64 600041/2386628) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 -1 x)) (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (sqrt.f64 600041/2386628) x)) (*.f64 -1 (/.f64 (sqrt.f64 600041/2386628) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 600041/2386628 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 600041/2386628) (*.f64 (cbrt.f64 360049201681/5695993210384) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 360049201681/5695993210384) (pow.f64 x -2)) (cbrt.f64 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -600041/2386628 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 600041/2386628 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -600041/2386628 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 600041/2386628 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -600041/2386628 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 600041/2386628 (*.f64 x x))))) 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(neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 -600041/2386628 (*.f64 x x)) -1/2) (cbrt.f64 x)) (cbrt.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 600041/2386628 (*.f64 x x)) 3) 1/8) (/.f64 (*.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 4)) (+.f64 1/4 (/.f64 -600041/4773256 (*.f64 x x)))) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 600041/2386628 (*.f64 x x)) 3) 1/8) x)) (+.f64 (neg.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 4))) (-.f64 (/.f64 600041/4773256 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) (cbrt.f64 x))) (cbrt.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x) 3)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 2)) |
(/.f64 600041/2386628 (*.f64 x x)) |
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (*.f64 x x)) | |
| 0.0b | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) | |
| 0.0b | (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) | |
| 0.0b | (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) | |
| ✓ | 0.0b | (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) |
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) |
| ✓ | 0.0b | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 (*.f64 x x)) |
Compiled 40 to 24 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| 0.0ms | x | @ | inf | (*.f64 -833192009/1250000000 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| 0.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| 1× | batch-egg-rewrite |
| 105× | egg-rr |
| 82× | egg-rr |
| 58× | egg-rr |
| 53× | egg-rr |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
(+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) |
(-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x x) -2499576027/1250000000)) (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0) (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x x) -2499576027/1250000000)) (*.f64 4 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -833192009/1250000000 (*.f64 x x))) (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) (*.f64 0 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -833192009/1250000000 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (cbrt.f64 -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) -833192009/1250000000) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 (*.f64 x x) (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 -833192009/1250000000 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (+.f64 0 (*.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) 0))) (-.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -37 (*.f64 833192009/1250000000 (*.f64 x x))) 37)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (cbrt.f64 (*.f64 -833192009/1250000000 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| 1× | egg-herbie |
| Inputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
-3 |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
| Outputs |
|---|
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 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) |
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 -833192009/1250000000 (*.f64 x x) 1) |
-3 |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 -833192009/1250000000 (*.f64 x x)) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3) |
(fma.f64 -833192009/1250000000 (*.f64 x x) -3) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (/.f64 600041/2386628 x) | |
| 0.4b | (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x)) | |
| 0.1b | (*.f64 (*.f64 x 2) (*.f64 x x)) | |
| 0.0b | (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) | |
| ✓ | 0.1b | (*.f64 (*.f64 x 2) (*.f64 x x)) |
| ✓ | 0.4b | (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x)) |
| ✓ | 0.6b | (/.f64 600041/2386628 x) |
| ✓ | 21.4b | (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
Compiled 57 to 32 computations (43.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (*.f64 x 2) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 2) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x)) |
| 1× | batch-egg-rewrite |
| 100× | egg-rr |
| 58× | egg-rr |
| 53× | egg-rr |
| 38× | egg-rr |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(/.f64 600041/2386628 x) |
(*.f64 (*.f64 x 2) (/.f64 600041/2386628 x)) |
(*.f64 (*.f64 x 2) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (/.f64 (*.f64 x 600041/1193314) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (/.f64 (*.f64 x 600041/1193314) x)) (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) 0) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) (*.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (cbrt.f64 2)) -3)) (*.f64 (/.f64 (*.f64 x 600041/1193314) x) (pow.f64 (*.f64 x (cbrt.f64 2)) -3)))))) (#(struct:change 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(2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (+.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 8 (pow.f64 x 6)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 x 6))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 (*.f64 x (cbrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 x 600041/2386628)) 1) (*.f64 (/.f64 x (/.f64 x 600041/2386628)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 600041/1193314) x) 0) (/.f64 (*.f64 x 600041/1193314) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 600041/1193314) x) (*.f64 (/.f64 (*.f64 x 600041/1193314) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x (/.f64 x 600041/2386628))) (*.f64 1 (/.f64 x (/.f64 x 600041/2386628))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 x 600041/1193314) x)) (/.f64 (*.f64 x 600041/1193314) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 600041/1193314) x) (*.f64 0 (/.f64 (*.f64 x 600041/1193314) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 600041/1193314 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 x 600041/2386628)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (/.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 600041/2386628 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 600041/1193314 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/1193314 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 600041/1193314) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (/.f64 x 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x -600041/1193314) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) x) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -600041/1193314) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 600041/1193314) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -600041/1193314) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 x 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (/.f64 600041/2386628 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 600041/1193314) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) 600041/2386628) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 600041/1193314) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 2)) (cbrt.f64 (*.f64 x 600041/1193314))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 600041/2386628 (cbrt.f64 x)) (+.f64 x x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 600041/2386628) (*.f64 (cbrt.f64 (pow.f64 (/.f64 600041/2386628 x) 2)) (+.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -600041/2386628) (*.f64 (cbrt.f64 (pow.f64 (/.f64 600041/2386628 x) 2)) (+.f64 x x))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 600041/1193314 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -600041/1193314 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -600041/1193314) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x 600041/1193314)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 x 600041/2386628) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 x 600041/2386628) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x))) (neg.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) (neg.f64 (/.f64 x 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 600041/1193314) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 600041/1193314) x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 600041/1193314) x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x -600041/1193314) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) 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 (*.f64 (*.f64 (pow.f64 x 3) 2) 0) (*.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 (*.f64 (pow.f64 x 3) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 3) 2)) (*.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 0 (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x x)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x (cbrt.f64 2))) (neg.f64 (*.f64 (cbrt.f64 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4) (*.f64 x x)) (*.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 x x) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
600041/1193314 |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
(*.f64 2 (pow.f64 x 3)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) | |
| 0.0b | (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) | |
| 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) | |
| ✓ | 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| ✓ | 20.0b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| ✓ | 23.2b | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
Compiled 71 to 55 computations (22.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
| 1.0ms | x | @ | 0 | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 0.0ms | x | @ | -inf | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 0.0ms | x | @ | inf | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
| 1× | batch-egg-rewrite |
| 47× | egg-rr |
| 33× | egg-rr |
| 23× | egg-rr |
| Inputs |
|---|
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
| Outputs |
|---|
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(pow.f64 x 3) x) 2)) (cbrt.f64 (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (+.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (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 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 0) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 0 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3321371254951887171/12500000000000000000) (*.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 3321371254951887171/12500000000000000000)) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3321371254951887171/12500000000000000000 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (*.f64 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) 3321371254951887171/12500000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 5) (cbrt.f64 3321371254951887171/12500000000000000000)) (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 3321371254951887171/12500000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 3)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
Compiled 28188 to 16344 computations (42% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 983 | 4 | 987 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 987 | 11 | 998 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.3b | (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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) |
| ▶ | 31.7b | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))) |
| ▶ | 31.8b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| ▶ | 31.8b | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
| ✓ | 31.8b | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| ▶ | 53.7b | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| ✓ | 31.6b | (/.f64 1/2 x) |
| ✓ | 29.3b | (*.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) |
| 30.9b | x | |
| ✓ | 32.2b | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
| ▶ | 31.5b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
Compiled 517 to 223 computations (56.9% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 20.0b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) | |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) | |
| 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) | |
| 0.0b | (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) | |
| 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) | |
| 0.1b | (*.f64 -833192009/1250000000 (pow.f64 x 3)) | |
| 20.0b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
Compiled 42 to 32 computations (23.8% saved)
| 1× | egg-herbie |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 (*.f64 x x)) | |
| 0.0b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) | |
| ✓ | 0.0b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| 0.1b | (*.f64 -833192009/1250000000 (*.f64 x x)) |
Compiled 28 to 15 computations (46.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| 1× | batch-egg-rewrite |
| 49× | egg-rr |
| Inputs |
|---|
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) (*.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 0) (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) (*.f64 0 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1)) (*.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 (*.f64 -833192009/1250000000 x) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) (cbrt.f64 x)) (pow.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 2/3) (fma.f64 (*.f64 -833192009/1250000000 x) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) x) (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2/3) (fma.f64 (*.f64 -833192009/1250000000 x) x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2/3) (*.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))) (/.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1) 1) (/.f64 x (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1) (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3) (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1))) (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) (*.f64 x (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (/.f64 1 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1))) (neg.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) x) (neg.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) 1) (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (*.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) x)) (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) 1) (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1))) (neg.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 2/3) (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 2/3) (cbrt.f64 x) (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| Inputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 21.4b | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) | |
| 0.1b | (*.f64 (*.f64 x 2) (*.f64 x x)) | |
| 0.0b | (+.f64 (*.f64 x x) 600041/1193314) | |
| ✓ | 0.0b | (+.f64 (*.f64 x x) 600041/1193314) |
| 0.1b | (*.f64 (*.f64 x 2) (*.f64 x x)) | |
| ✓ | 21.4b | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
Compiled 35 to 17 computations (51.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x x) 600041/1193314) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x x) 600041/1193314) |
| 1× | batch-egg-rewrite |
| 145× | egg-rr |
| 52× | egg-rr |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(+.f64 (*.f64 x x) 600041/1193314) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x 600041/1193314) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144))) (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 2)) (cbrt.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144))) (cbrt.f64 (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144)) 1) (+.f64 (neg.f64 (pow.f64 x 4)) (*.f64 600041/1193314 (fma.f64 x x -600041/1193314))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 216044283025868921/1699277110464043144 3)) (/.f64 1 (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4)))) (+.f64 (pow.f64 (pow.f64 x 6) 2) (*.f64 216044283025868921/1699277110464043144 (-.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144)) (cbrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 2))) (cbrt.f64 (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144)) 1) (*.f64 (+.f64 (neg.f64 (pow.f64 x 4)) (*.f64 600041/1193314 (fma.f64 x x -600041/1193314))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 216044283025868921/1699277110464043144 3)) 1) (*.f64 (+.f64 (pow.f64 (pow.f64 x 6) 2) (*.f64 216044283025868921/1699277110464043144 (-.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)))) (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -600041/1193314 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 600041/1193314) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 600041/1193314) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -600041/1193314 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 600041/1193314) (sqrt.f64 600041/1193314) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (neg.f64 x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (*.f64 x x)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -600041/1193314 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 600041/1193314)) (neg.f64 (sqrt.f64 600041/1193314)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 600041/1193314) (cbrt.f64 360049201681/1423998302596) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 600041/1193314 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 360049201681/1423998302596) (cbrt.f64 600041/1193314) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 600041/1193314 1 (*.f64 x x)))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
600041/1193314 |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 600041/2386628 (pow.f64 x 3)) |
(*.f64 600041/2386628 (pow.f64 x -3)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.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))) |
(fma.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))) |
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) |
600041/1193314 |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
(+.f64 600041/1193314 (pow.f64 x 2)) |
(fma.f64 x x 600041/1193314) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 833192009/1250000000 (*.f64 x x)) | |
| 0.0b | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) | |
| 0.0b | (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) | |
| 0.0b | (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)) | |
| ✓ | 0.0b | (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)) |
| ✓ | 0.0b | (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) |
| ✓ | 0.0b | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
| ✓ | 0.1b | (*.f64 833192009/1250000000 (*.f64 x x)) |
Compiled 53 to 34 computations (35.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 833192009/1250000000 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
| 0.0ms | x | @ | inf | (*.f64 833192009/1250000000 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
| 0.0ms | x | @ | 0 | (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)) |
| 1× | batch-egg-rewrite |
| 133× | egg-rr |
| 97× | egg-rr |
| 92× | egg-rr |
| 55× | egg-rr |
| Inputs |
|---|
(*.f64 833192009/1250000000 (*.f64 x x)) |
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
(-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) |
(+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (*.f64 833192009/1250000000 (*.f64 x x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 27) 27)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 0) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) (*.f64 0 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 833192009/1250000000 (*.f64 x x))) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (*.f64 x x) -833192009/1250000000)) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 833192009/1250000000 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 27) 27)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (*.f64 833192009/1250000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 x x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 833192009/1250000000)) (*.f64 x (sqrt.f64 833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 833192009/1250000000) x) (*.f64 (sqrt.f64 833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 833192009/1250000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 833192009/1250000000)) (sqrt.f64 833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 833192009/1250000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 3 (*.f64 833192009/1250000000 (*.f64 x x))) -1))))) |
| 1× | egg-herbie |
| Inputs |
|---|
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
2 |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 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) |
1 |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 -833192009/1250000000 x) x) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(*.f64 -833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 -833192009/1250000000 x) x) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 (*.f64 x x) -833192009/1250000000 1) |
2 |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(*.f64 833192009/1250000000 (pow.f64 x 2)) |
(*.f64 (*.f64 833192009/1250000000 x) x) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2))) |
(fma.f64 833192009/1250000000 (*.f64 x x) 2) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -833192009/1250000000 x) | |
| 0.1b | (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) | |
| 0.0b | (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) | |
| 0.0b | (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x) | |
| ✓ | 0.1b | (*.f64 -833192009/1250000000 x) |
| ✓ | 0.1b | (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) |
| ✓ | 20.0b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)) |
| ✓ | 23.2b | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))) |
Compiled 81 to 51 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -833192009/1250000000 x) |
| 0.0ms | x | @ | -inf | (*.f64 -833192009/1250000000 x) |
| 0.0ms | x | @ | inf | (*.f64 -833192009/1250000000 x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))) |
| 1× | batch-egg-rewrite |
| 48× | egg-rr |
| 34× | egg-rr |
| 30× | egg-rr |
| 26× | egg-rr |
| Inputs |
|---|
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)) |
(*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) |
(*.f64 -833192009/1250000000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (+.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) x) (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 x (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (+.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) x) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) x) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (+.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x)) 0) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 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(cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x) 2)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 0) (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 0 (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 6))) (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 -833192009/1250000000 x))) (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -833192009/1250000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -833192009/1250000000 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -833192009/1250000000 x) 0) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 x) (*.f64 (*.f64 -833192009/1250000000 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -833192009/1250000000 x)) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 x) (*.f64 0 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)) (cbrt.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (*.f64 -833192009/1250000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 -833192009/1250000000 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 x) 3)))))) |
| 1× | egg-herbie |
| 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 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
x |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
(*.f64 -833192009/1250000000 (pow.f64 x 3)) |
| 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)) |
(+.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 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) |
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)) |
(+.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)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.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)) |
(+.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)) |
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) |
(+.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)) |
(+.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)) |
(*.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)) |
Compiled 19856 to 14094 computations (29% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1023 | 3 | 1026 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 1025 | 12 | 1037 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.3b | (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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) |
| 30.9b | x | |
| ✓ | 31.7b | (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))) |
| ✓ | 31.8b | (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| ✓ | 31.8b | (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
| ✓ | 31.8b | (*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
| ✓ | 53.7b | (/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| ✓ | 31.6b | (/.f64 1/2 x) |
| 31.5b | (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x)) | |
| ✓ | 29.3b | (*.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) |
| 31.8b | (*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x) | |
| ✓ | 32.2b | (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
Compiled 459 to 181 computations (60.6% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x) |
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.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 (*.f64 x x) (*.f64 -833192009/1250000000 x)) 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 (/.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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 (+.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)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.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 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) |
| 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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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 600041/2386628 (*.f64 x x)) 1/2) x) |
2 calls:
| 34.0ms | x |
| 18.0ms | (*.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 998 to 386 computations (61.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 434.0116910138749 | 3940715.072406967 |
| 57.0ms | -30540458040.676582 | -3.018783031278212 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x) |
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.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 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) |
(+.f64 (*.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 (*.f64 x x) (*.f64 -833192009/1250000000 x)) 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))) |
| 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 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
2 calls:
| 28.0ms | x |
| 18.0ms | (*.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 573 to 239 computations (58.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 434.0116910138749 | 3940715.072406967 |
| 47.0ms | -30540458040.676582 | -3.018783031278212 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x) |
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x)) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
1 calls:
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | x |
Compiled 147 to 90 computations (38.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 0.0029421815227809534 | 6.872454925652337 |
| 47.0ms | -3.018783031278212 | -0.0057880256772278186 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x) |
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x))) |
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) |
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x) |
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
1 calls:
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 132 to 81 computations (38.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 0.0029421815227809534 | 6.872454925652337 |
| 49.0ms | -3.018783031278212 | -0.0057880256772278186 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x) |
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x) |
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 72 to 42 computations (41.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 0.0029421815227809534 | 6.872454925652337 |
| 47.0ms | -3.018783031278212 | -0.0057880256772278186 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
| Outputs |
|---|
(/.f64 1/2 x) |
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) |
(/.f64 1/2 x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 26 to 15 computations (42.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 0.0029421815227809534 | 6.872454925652337 |
| 50.0ms | -3.018783031278212 | -0.0057880256772278186 |
Compiled 178 to 49 computations (72.5% saved)
| Inputs |
|---|
x |
x |
(/.f64 1/2 x) |
| Outputs |
|---|
(/.f64 1/2 x) |
x |
(/.f64 1/2 x) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 8 to 4 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 0.0029421815227809534 | 6.872454925652337 |
| 49.0ms | -3.018783031278212 | -0.0057880256772278186 |
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:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.9b | 1 | x |
Compiled 5 to 2 computations (60% saved)
| 1× | egg-herbie |
| 1× | fuel |
| Inputs |
|---|
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.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 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x)) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) x (/.f64 1/2 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.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)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.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 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 4) (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) (+.f64 4 2)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4) (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.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 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 4) (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) (+.f64 4 2)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4) (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x)) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (neg.f64 (fma.f64 833192009/1250000000 (*.f64 x x) -1)) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) (/.f64 1/2 x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (/.f64 1/2 x))) |
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) x (/.f64 1/2 x))) |
x |
Compiled 541 to 229 computations (57.7% saved)
Compiled 534 to 212 computations (60.3% saved)
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