Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 664.0ms | 8256× | body | 256 | valid |
| 0.0ms | 7× | body | 256 | invalid |
| 2× | egg-herbie |
| 1468× | fma-def |
| 1260× | distribute-lft-out |
| 1098× | unsub-neg |
| 944× | distribute-rgt-out-- |
| 798× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 15 | 17 |
| 2 | 22 | 17 |
| 3 | 34 | 17 |
| 4 | 51 | 17 |
| 5 | 79 | 17 |
| 6 | 126 | 17 |
| 7 | 348 | 17 |
| 8 | 734 | 17 |
| 9 | 1549 | 17 |
| 10 | 2918 | 17 |
| 11 | 4603 | 17 |
| 12 | 5570 | 17 |
| 13 | 5888 | 17 |
| 14 | 6174 | 17 |
| 15 | 6343 | 17 |
| 16 | 6420 | 17 |
| 17 | 6687 | 17 |
| 18 | 7685 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (neg.f64 (fma.f64 x x -1))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 1468× | fma-def |
| 1260× | distribute-lft-out |
| 1098× | unsub-neg |
| 944× | distribute-rgt-out-- |
| 798× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 15 | 17 |
| 2 | 22 | 17 |
| 3 | 34 | 17 |
| 4 | 51 | 17 |
| 5 | 79 | 17 |
| 6 | 126 | 17 |
| 7 | 348 | 17 |
| 8 | 734 | 17 |
| 9 | 1549 | 17 |
| 10 | 2918 | 17 |
| 11 | 4603 | 17 |
| 12 | 5570 | 17 |
| 13 | 5888 | 17 |
| 14 | 6174 | 17 |
| 15 | 6343 | 17 |
| 16 | 6420 | 17 |
| 17 | 6687 | 17 |
| 18 | 7685 | 17 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (neg.f64 (fma.f64 x x -1))) |
Compiled 13 to 9 computations (30.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ▶ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 14 to 10 computations (28.6% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 9 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1512× | pow1 |
| 1404× | add-exp-log |
| 1402× | log1p-expm1-u |
| 1402× | expm1-log1p-u |
| 1374× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 164 | 17 |
| 2 | 1986 | 17 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
| 1× | egg-herbie |
| 2014× | fma-def |
| 570× | associate-*r/ |
| 540× | *-commutative |
| 506× | unswap-sqr |
| 408× | sub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1256 |
| 1 | 270 | 1124 |
| 2 | 731 | 1014 |
| 3 | 2413 | 962 |
| 4 | 7145 | 962 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 -1) x) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/8) -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))) |
(fma.f64 -1/16 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/8) -1/2) 1)) |
(*.f64 (sqrt.f64 -1) x) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) |
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) x)) |
(neg.f64 (*.f64 x (sqrt.f64 -1))) |
(*.f64 x (neg.f64 (sqrt.f64 -1))) |
(*.f64 (sqrt.f64 -1) (neg.f64 x)) |
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))) |
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) |
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))) |
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (neg.f64 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))) |
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) |
(-.f64 (*.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))) |
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) |
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 1157 to 891 computations (23% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 3 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 76 | 4 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ▶ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 | |
| ▶ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ▶ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 |
Compiled 52 to 40 computations (23.1% saved)
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ✓ | 100.0% | (cbrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 100.0% | (*.f64 -1/2 (*.f64 x x)) |
Compiled 45 to 23 computations (48.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| 1.0ms | x | @ | inf | (*.f64 -1/2 (*.f64 x x)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| 0.0ms | x | @ | inf | (cbrt.f64 (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 978× | log-prod |
| 684× | prod-exp |
| 538× | pow-prod-down |
| 516× | pow-prod-up |
| 514× | pow-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 250 | 47 |
| 2 | 2925 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (*.f64 x x)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| Outputs |
|---|
(+.f64 0 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 -1/2 x)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 x)) (*.f64 (log.f64 x) 1))) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(*.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) 3/2) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/9) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) 3/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 3)) |
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 3/2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 3/2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) 2)) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (+.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3))) |
(exp.f64 (+.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))) |
(exp.f64 (+.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
| 1× | egg-herbie |
| 846× | fma-def |
| 730× | exp-prod |
| 726× | associate-*r* |
| 650× | associate-*l* |
| 620× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 2161 |
| 1 | 557 | 2055 |
| 2 | 1295 | 2047 |
| 3 | 4223 | 2047 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
1 |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/9 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 4)) (*.f64 -5/81 (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 0 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 -1/2 x)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 x)) (*.f64 (log.f64 x) 1))) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(*.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) 3/2) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/9) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) 3/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 3)) |
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 3/2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 3/2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) 2)) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (+.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3))) |
(exp.f64 (+.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))) |
(exp.f64 (+.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
1 |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1) |
(fma.f64 -1/3 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -1/3 1) |
(fma.f64 x (*.f64 x -1/3) 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/9 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (*.f64 -1/9 (pow.f64 x 4))) |
(fma.f64 (*.f64 x x) -1/3 (fma.f64 -1/9 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x -1/3) (fma.f64 -1/9 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 4)) (*.f64 -5/81 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (fma.f64 -1/9 (pow.f64 x 4) (*.f64 -5/81 (pow.f64 x 6)))) |
(+.f64 (fma.f64 (*.f64 x x) -1/3 1) (fma.f64 -1/9 (pow.f64 x 4) (*.f64 -5/81 (pow.f64 x 6)))) |
(fma.f64 x (*.f64 x -1/3) (fma.f64 -1/9 (pow.f64 x 4) (fma.f64 -5/81 (pow.f64 x 6) 1))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 -1/2 (*.f64 x x)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 1)) |
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 -1/2 (*.f64 x x) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16)))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/16)) (fma.f64 (pow.f64 x 4) -1/8 1)) |
(+.f64 1 (fma.f64 (pow.f64 x 6) -1/16 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 -1/2 (*.f64 x x))))) |
(+.f64 0 (*.f64 -1/2 (*.f64 x x))) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) 3) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) |
(*.f64 -1/2 (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(*.f64 -1/2 (*.f64 x x)) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) 1/3) |
(*.f64 -1/2 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(*.f64 -1/2 (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) |
(*.f64 -1/2 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 -1/2 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)) |
(*.f64 -1/2 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1)) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1) 1)) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) 3)) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)) 1/3)) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 -1/2 x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 x)) (*.f64 (log.f64 x) 1))) |
(*.f64 -1/2 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 2) 3/2) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/9) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/18) (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/18)) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) 3/2)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 3)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2)) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(cbrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 3/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 3/2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) 2)) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(exp.f64 (+.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4) (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 1568 to 1059 computations (32.5% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 0 | 130 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 130 | 4 | 134 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ✓ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 | |
| ✓ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ✓ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 |
Compiled 52 to 40 computations (23.1% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ✓ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 | |
| ✓ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ✓ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 |
Compiled 52 to 40 computations (23.1% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| ✓ | 99.1% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 98.7% | 1 |
Compiled 49 to 35 computations (28.6% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
4 calls:
| 4.0ms | x |
| 2.0ms | (-.f64 1 (*.f64 x x)) |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 100.0% | 1 | (-.f64 1 (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 42 to 27 computations (35.7% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f64 x x) |
Compiled 15 to 10 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
1 |
| Outputs |
|---|
1 |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 6× | sub-neg |
| 6× | *-commutative |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 20 | 37 |
| 2 | 27 | 37 |
| 3 | 31 | 37 |
| 4 | 33 | 37 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
1 |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/2)) |
1 |
Compiled 17 to 13 computations (23.5% saved)
| 2014× | fma-def |
| 570× | associate-*r/ |
| 540× | *-commutative |
| 506× | unswap-sqr |
| 408× | sub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1256 |
| 1 | 270 | 1124 |
| 2 | 731 | 1014 |
| 3 | 2413 | 962 |
| 4 | 7145 | 962 |
| 1× | node limit |
Compiled 15 to 12 computations (20% saved)
Compiled 44 to 30 computations (31.8% saved)
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