Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3
Time bar (total: 2.0s)
| 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)
| 780.0ms | 8256× | body | 256 | valid |
| 0.0ms | 3× | 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))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 1 (*.f64 x x)) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 9 computations (50% saved)
6 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))) |
| 0.0ms | x | @ | inf | (-.f64 1 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.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 | 30 |
| 1 | 164 | 30 |
| 2 | 1986 | 30 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(-.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))))) |
(+.f64 1 (*.f64 x (neg.f64 x))) |
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1)) |
(+.f64 (*.f64 x (neg.f64 x)) 1) |
(*.f64 1 (-.f64 1 (*.f64 x x))) |
(*.f64 (-.f64 1 (*.f64 x x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x)))) |
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x)))) |
| 1× | egg-herbie |
| 1068× | fma-def |
| 1012× | div-sub |
| 856× | fma-neg |
| 656× | cancel-sign-sub-inv |
| 466× | distribute-neg-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 2047 |
| 1 | 412 | 1811 |
| 2 | 1416 | 1673 |
| 3 | 4564 | 1673 |
| 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))))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.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))))) |
(+.f64 1 (*.f64 x (neg.f64 x))) |
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1)) |
(+.f64 (*.f64 x (neg.f64 x)) 1) |
(*.f64 1 (-.f64 1 (*.f64 x x))) |
(*.f64 (-.f64 1 (*.f64 x x)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x)))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x)))) |
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) |
(log1p.f64 (expm1.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)))) |
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 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 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))) |
(+.f64 (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 4) 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 (/.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 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 3))))) |
(+.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 1/16 (/.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 (/.f64 1/2 x) (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 3))))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(*.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)))) |
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(-.f64 (/.f64 (/.f64 -1/2 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)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) |
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 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 (*.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)) (neg.f64 (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 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 1 (*.f64 x x)) |
(-.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 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 (-.f64 1 (*.f64 x x))) (cbrt.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))) |
(*.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 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 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 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 (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))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) |
(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) |
(+.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)) 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)) |
(+.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))) |
(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))) |
(+.f64 1 (*.f64 x (neg.f64 x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1)) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 x (neg.f64 x)) 1) |
(-.f64 1 (*.f64 x x)) |
(*.f64 1 (-.f64 1 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (-.f64 1 (*.f64 x x)) 1) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) |
(-.f64 1 (*.f64 x x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(-.f64 1 (*.f64 x x)) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x)))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x))))) |
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) |
(pow.f64 (-.f64 1 (*.f64 x x)) 1) |
(-.f64 1 (*.f64 x x)) |
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2) |
(-.f64 1 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3) |
(-.f64 1 (*.f64 x x)) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2) |
(-.f64 1 (*.f64 x x)) |
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3) |
(-.f64 1 (*.f64 x x)) |
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) |
(-.f64 1 (*.f64 x x)) |
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x)))) |
(-.f64 1 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) |
(-.f64 1 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x)))) |
(-.f64 1 (*.f64 x x)) |
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x)))) |
(-.f64 1 (*.f64 x x)) |
Compiled 1522 to 1099 computations (27.8% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 2 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 109 | 3 | 112 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 99.4% | 1 |
Compiled 17 to 13 computations (23.5% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (*.f64 -1/2 (*.f64 x x)) |
Compiled 20 to 11 computations (45% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (*.f64 -1/2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1540× | pow1 |
| 1434× | add-exp-log |
| 1432× | log1p-expm1-u |
| 1432× | expm1-log1p-u |
| 1410× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 165 | 28 |
| 2 | 2006 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) 1) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))))) |
(*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)))) |
(/.f64 1 (/.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3) |
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 1) |
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1) |
(fma.f64 (*.f64 -1/2 x) x 1) |
| 1× | egg-herbie |
| 1510× | fma-neg |
| 928× | fma-def |
| 902× | div-sub |
| 724× | unswap-sqr |
| 610× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1400 |
| 1 | 238 | 1350 |
| 2 | 888 | 1252 |
| 3 | 4864 | 1252 |
| 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 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) 1) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) |
(*.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))))) |
(*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)))) |
(/.f64 1 (/.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3) |
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 1) |
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1) |
(fma.f64 (*.f64 -1/2 x) x 1) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(-.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1)) |
(*.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))))) |
(*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (*.f64 x x) 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1))) |
(*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1)) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)))) |
(*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (*.f64 x x) 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1))) |
(/.f64 1 (/.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1)) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x))))) |
(*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (*.f64 x x) 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (*.f64 x x) 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 1/2 (*.f64 x x)))))) |
(*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (*.f64 x x) 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1))) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 1 (*.f64 -1/2 (*.f64 x x))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1)) |
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) |
(exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(fma.f64 (*.f64 x x) -1/2 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(fma.f64 (*.f64 -1/2 x) x 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
Compiled 696 to 497 computations (28.6% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 0 | 58 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 58 | 3 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 99.4% | 1 |
Compiled 17 to 13 computations (23.5% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 99.4% | 1 |
Compiled 17 to 13 computations (23.5% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 99.4% | 1 |
Compiled 17 to 13 computations (23.5% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
4 calls:
| 3.0ms | x |
| 3.0ms | (-.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 34 to 22 computations (35.3% saved)
Total -0.2b remaining (-74.8%)
Threshold costs -0.2b (-74.8%)
| 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 |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (*.f64 x x) |
Compiled 15 to 10 computations (33.3% 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)
| 1068× | fma-def |
| 1012× | div-sub |
| 856× | fma-neg |
| 656× | cancel-sign-sub-inv |
| 466× | distribute-neg-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 2047 |
| 1 | 412 | 1811 |
| 2 | 1416 | 1673 |
| 3 | 4564 | 1673 |
| 1× | node limit |
Compiled 15 to 12 computations (20% saved)
Compiled 44 to 30 computations (31.8% saved)
Loading profile data...