Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 8 computations (27.3% saved)
| 766.0ms | 7972× | body | 256 | valid |
| 19.0ms | 127× | body | 1024 | valid |
| 16.0ms | 84× | body | 2048 | valid |
| 8.0ms | 72× | body | 512 | valid |
| 0.0ms | 1× | body | 256 | infinite |
| 1× | egg-herbie |
| 506× | fma-def |
| 98× | sub-neg |
| 88× | cancel-sign-sub-inv |
| 78× | distribute-lft-neg-in |
| 78× | fma-neg |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 104 |
| 1 | 45 | 92 |
| 2 | 91 | 92 |
| 3 | 201 | 92 |
| 4 | 342 | 92 |
| 5 | 492 | 88 |
| 6 | 620 | 80 |
| 7 | 745 | 80 |
| 8 | 823 | 80 |
| 9 | 851 | 80 |
| 10 | 857 | 80 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) 2)) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) 2)) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) 2)) |
(-.f64 (/.f64 (fabs.f64 (+.f64 x y)) 2) x) |
(-.f64 (*.f64 1/2 (fabs.f64 (+.f64 x y))) x) |
(-.f64 (*.f64 (fabs.f64 (+.f64 x y)) 1/2) x) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) 2)) |
(+.f64 x (/.f64 (fabs.f64 (+.f64 x y)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 x y)))) |
(fma.f64 1/2 (fabs.f64 (+.f64 x y)) x) |
(fma.f64 (fabs.f64 (+.f64 x y)) 1/2 x) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 y (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) y) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 y) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 228× | fma-def |
| 52× | sub-neg |
| 46× | cancel-sign-sub-inv |
| 36× | associate--r+ |
| 34× | distribute-lft-neg-in |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 15 | 23 |
| 2 | 22 | 23 |
| 3 | 32 | 23 |
| 4 | 53 | 23 |
| 5 | 108 | 23 |
| 6 | 178 | 23 |
| 7 | 223 | 23 |
| 8 | 289 | 19 |
| 9 | 331 | 19 |
| 10 | 389 | 19 |
| 11 | 433 | 19 |
| 12 | 455 | 19 |
| 13 | 464 | 19 |
| 14 | 470 | 19 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
Compiled 32 to 14 computations (56.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 1 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 2 | 5 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ▶ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 27 to 11 computations (59.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 0.0ms | x | @ | inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 0.0ms | x | @ | -inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 0.0ms | y | @ | inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1× | batch-egg-rewrite |
| 966× | log-prod |
| 856× | fma-def |
| 674× | pow-prod-down |
| 470× | pow-exp |
| 460× | pow-prod-up |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 229 | 15 |
| 2 | 3313 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 y x)) 1/2)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x))) |
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))))) |
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (-.f64 y x) 1/2 x) |
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x) |
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x) |
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x) |
(fma.f64 1/2 (-.f64 y x) x) |
| 1× | egg-herbie |
| 1056× | fma-neg |
| 1020× | associate-*r* |
| 958× | associate-*l* |
| 846× | div-sub |
| 540× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 2193 |
| 1 | 385 | 2129 |
| 2 | 1001 | 1821 |
| 3 | 5878 | 1821 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 y x)) 1/2)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x))) |
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))))) |
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (-.f64 y x) 1/2 x) |
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x) |
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x) |
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x) |
(fma.f64 1/2 (-.f64 y x) x) |
| Outputs |
|---|
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(*.f64 1/2 (-.f64 y x)) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (-.f64 (*.f64 1/2 (-.f64 y x)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 1/2 (-.f64 x y) x) (*.f64 1/2 (-.f64 x y))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (-.f64 (*.f64 1/2 (-.f64 y x)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 1/2 (-.f64 x y) x) (*.f64 1/2 (-.f64 x y))))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (-.f64 (*.f64 1/2 (-.f64 y x)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 1/2 (-.f64 x y) x) (*.f64 1/2 (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 y x)) 1/2)))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (-.f64 (*.f64 1/2 (-.f64 y x)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 1/2 (-.f64 x y) x) (*.f64 1/2 (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (-.f64 (*.f64 1/2 (-.f64 y x)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 1/2 (-.f64 x y) x) (*.f64 1/2 (-.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (-.f64 (*.f64 1/2 (-.f64 y x)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 1/2 (-.f64 x y) x) (*.f64 1/2 (-.f64 x y))))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 (-.f64 y x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (*.f64 x x)) (fma.f64 1/2 (-.f64 x y) x)) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x))))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (-.f64 y x) 1/2 x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x) |
(fma.f64 (cbrt.f64 (*.f64 1/2 (-.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x) |
(fma.f64 (cbrt.f64 (*.f64 1/2 (-.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 1/2 (-.f64 y x) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
Compiled 991 to 512 computations (48.3% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 4 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 67 | 5 | 72 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.0% | (fma.f64 (-.f64 y x) 1/2 x) |
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ▶ | 25.1% | (*.f64 1/2 (-.f64 y x)) |
| ▶ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| 11.9% | x | |
| ▶ | 57.0% | (fma.f64 (-.f64 y x) 1/2 x) |
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ▶ | 25.1% | (*.f64 1/2 (-.f64 y x)) |
| ▶ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| 11.9% | x |
Compiled 72 to 50 computations (30.6% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 y x) 1/2 x) |
Compiled 42 to 14 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | y | @ | 0 | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | y | @ | inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | y | @ | -inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | x | @ | 0 | (fma.f64 (-.f64 y x) 1/2 x) |
| 1× | batch-egg-rewrite |
| 1798× | pow1 |
| 1662× | add-exp-log |
| 1662× | log1p-expm1-u |
| 1662× | expm1-log1p-u |
| 1628× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 171 | 15 |
| 2 | 2196 | 15 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) 1/2 x) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) 1/2)) |
(+.f64 (*.f64 (-.f64 y x) 1/2) x) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x) |
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1) |
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x)) |
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
| 1× | egg-herbie |
| 786× | times-frac |
| 742× | associate-+l+ |
| 740× | associate-+r+ |
| 714× | associate-*r* |
| 626× | associate-*l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 779 |
| 1 | 163 | 619 |
| 2 | 600 | 613 |
| 3 | 3506 | 609 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 x) x) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 x (*.f64 (-.f64 y x) 1/2)) |
(+.f64 (*.f64 (-.f64 y x) 1/2) x) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x) |
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1) |
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x)) |
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 x) x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 x (*.f64 (-.f64 y x) 1/2)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y x) 1/2) x) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (-.f64 y x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) 1/4) (*.f64 x (-.f64 x (*.f64 1/2 (-.f64 y x)))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 -1/2 (-.f64 y x))) (*.f64 (-.f64 y x) (*.f64 1/4 (-.f64 y x))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 y x) (+.f64 (*.f64 -1/2 x) (*.f64 (-.f64 y x) 1/4))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 x y) (fma.f64 x 1/2 (*.f64 (-.f64 y x) -1/4))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
Compiled 399 to 213 computations (46.6% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 3 | 33 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 1 | 1 |
| Total | 32 | 6 | 38 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ▶ | 32.8% | (*.f64 x 1/2) |
| ▶ | 57.0% | (*.f64 1/2 (+.f64 x y)) |
| ✓ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ▶ | 26.2% | (*.f64 1/2 y) |
| 11.9% | x | |
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ▶ | 32.8% | (*.f64 x 1/2) |
| ▶ | 57.0% | (*.f64 1/2 (+.f64 x y)) |
| ✓ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ▶ | 26.2% | (*.f64 1/2 y) |
| 11.9% | x |
Compiled 76 to 56 computations (26.3% saved)
Compiled 24 to 13 computations (45.8% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 0 | 6 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ✓ | 32.8% | (*.f64 x 1/2) |
| ✓ | 57.0% | (*.f64 1/2 (+.f64 x y)) |
| ✓ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ✓ | 26.2% | (*.f64 1/2 y) |
| 11.9% | x | |
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ✓ | 32.8% | (*.f64 x 1/2) |
| ✓ | 57.0% | (*.f64 1/2 (+.f64 x y)) |
| ✓ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ✓ | 26.2% | (*.f64 1/2 y) |
| 11.9% | x |
Compiled 76 to 56 computations (26.3% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| ✓ | 32.8% | (*.f64 x 1/2) |
| ✓ | 57.0% | (*.f64 1/2 (+.f64 x y)) |
| ✓ | 51.1% | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ✓ | 26.2% | (*.f64 1/2 y) |
| 11.9% | x |
Compiled 77 to 48 computations (37.7% saved)
| Inputs |
|---|
x |
(*.f64 1/2 y) |
(*.f64 x 1/2) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (-.f64 y x)) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(fma.f64 (-.f64 y x) 1/2 x) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
3 calls:
| 6.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 6.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 55 to 31 computations (43.6% saved)
| Inputs |
|---|
x |
(*.f64 1/2 y) |
(*.f64 x 1/2) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (-.f64 y x)) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(fma.f64 (-.f64 y x) 1/2 x) |
| Outputs |
|---|
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(*.f64 1/2 (+.f64 x y)) |
2 calls:
| 18.0ms | y |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.2% | 2 | x |
| 72.8% | 2 | y |
Compiled 37 to 21 computations (43.2% saved)
| Inputs |
|---|
x |
(*.f64 1/2 y) |
(*.f64 x 1/2) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (-.f64 y x)) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 x y)) |
2 calls:
| 5.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | x |
| 57.0% | 1 | y |
Compiled 25 to 16 computations (36% saved)
| Inputs |
|---|
x |
(*.f64 1/2 y) |
(*.f64 x 1/2) |
| Outputs |
|---|
(*.f64 x 1/2) |
(*.f64 1/2 y) |
2 calls:
| 10.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 2 | x |
| 47.4% | 2 | y |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 1/2 y) |
| Outputs |
|---|
x |
(*.f64 1/2 y) |
2 calls:
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.0% | 2 | x |
| 32.2% | 2 | y |
Compiled 12 to 8 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 3.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.9% | 1 | x |
| 11.9% | 1 | y |
Compiled 9 to 6 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -2.43085261230944e-40 | -2.8057155188820542e-42 |
| 10.0ms | 104× | body | 256 | valid |
| 1.0ms | 4× | body | 1024 | valid |
| 0.0ms | 3× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 134 to 102 computations (23.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3093989560.932803 | 181590123291703.56 |
| 11.0ms | 122× | body | 256 | valid |
| 1.0ms | 6× | body | 1024 | valid |
Compiled 111 to 91 computations (18% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.2077204531492273e-246 | 1.6877608040882975e-240 |
| 15.0ms | 138× | body | 256 | valid |
| 1.0ms | 3× | body | 2048 | valid |
| 0.0ms | 3× | body | 1024 | valid |
Compiled 105 to 83 computations (21% saved)
| 1× | egg-herbie |
| 12× | +-commutative |
| 12× | *-commutative |
| 8× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 116 |
| 1 | 38 | 116 |
| 2 | 45 | 116 |
| 3 | 50 | 116 |
| 4 | 53 | 116 |
| 5 | 54 | 116 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(if (<=.f64 y -6277101735386681/392318858461667547739736838950479151006397215279002157056) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (*.f64 1/2 (+.f64 x y))) |
(*.f64 1/2 (+.f64 x y)) |
(if (<=.f64 y 3200000000) (*.f64 x 1/2) (*.f64 1/2 y)) |
(if (<=.f64 y 6002553999289047/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) x (*.f64 1/2 y)) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(if (<=.f64 y -6277101735386681/392318858461667547739736838950479151006397215279002157056) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (*.f64 1/2 (+.f64 x y))) |
(if (<=.f64 y -6277101735386681/392318858461667547739736838950479151006397215279002157056) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (*.f64 1/2 (+.f64 x y))) |
(*.f64 1/2 (+.f64 x y)) |
(if (<=.f64 y 3200000000) (*.f64 x 1/2) (*.f64 1/2 y)) |
(if (<=.f64 y 3200000000) (*.f64 x 1/2) (*.f64 y 1/2)) |
(if (<=.f64 y 6002553999289047/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) x (*.f64 1/2 y)) |
(if (<=.f64 y 6002553999289047/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) x (*.f64 y 1/2)) |
x |
Compiled 59 to 42 computations (28.8% saved)
| 966× | log-prod |
| 856× | fma-def |
| 786× | times-frac |
| 786× | times-frac |
| 742× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 229 | 15 |
| 2 | 3313 | 15 |
| 0 | 64 | 779 |
| 1 | 163 | 619 |
| 2 | 600 | 613 |
| 3 | 3506 | 609 |
| 0 | 64 | 779 |
| 1 | 163 | 619 |
| 2 | 600 | 613 |
| 3 | 3506 | 609 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 148 to 84 computations (43.2% saved)
Compiled 118 to 72 computations (39% saved)
Loading profile data...