Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 8 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 9 |
| 22% | 21.1% | 74.5% | 0.1% | 4.3% | 0% | 0% | 10 |
| 26.6% | 25.4% | 69.8% | 0.1% | 4.7% | 0% | 0% | 11 |
| 32.3% | 30.6% | 64.2% | 0.1% | 5.1% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 1.1s | 8256× | body | 256 | valid |
| 228.0ms | 1654× | body | 256 | infinite |
| 2× | egg-herbie |
| 1536× | fma-def |
| 962× | distribute-lft-out |
| 936× | times-frac |
| 768× | associate--r+ |
| 694× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 124 |
| 1 | 71 | 124 |
| 2 | 210 | 108 |
| 3 | 674 | 108 |
| 4 | 1789 | 108 |
| 5 | 5362 | 108 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2))))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) |
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 y (+.f64 x (*.f64 z 1/2))))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (*.f64 z -1/2))) |
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z)) |
(*.f64 (-.f64 (fma.f64 z -1/2 y) x) (/.f64 4 z)) |
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x) |
(/.f64 4 (/.f64 x (-.f64 (-.f64 z y) (*.f64 x 1/2)))) |
(*.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (*.f64 x -1/2))) |
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x)) |
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x)) |
(*.f64 4 (/.f64 (-.f64 (fma.f64 x -1/2 z) y) x)) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y) |
(/.f64 4 (/.f64 y (-.f64 x (+.f64 z (*.f64 y 1/2))))) |
(*.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (*.f64 y -1/2))) |
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y)) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 1062× | associate-/l* |
| 916× | fma-def |
| 892× | associate-*l* |
| 866× | times-frac |
| 680× | associate-/r* |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 26 | 31 |
| 2 | 69 | 27 |
| 3 | 211 | 27 |
| 4 | 537 | 27 |
| 5 | 1515 | 21 |
| 6 | 6136 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
Compiled 64 to 38 computations (40.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 3 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 4 | 7 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| ▶ | 99.6% | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| ▶ | 99.7% | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
Compiled 39 to 28 computations (28.2% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
Compiled 35 to 19 computations (45.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
| 1× | batch-egg-rewrite |
| 1484× | distribute-lft-in |
| 1006× | associate-/r* |
| 604× | associate-/l* |
| 526× | associate-+l+ |
| 308× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 279 | 27 |
| 2 | 4022 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
| Outputs |
|---|
(((+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y))) (2)) ((+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) (2)) ((+.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) (2)) ((+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y)))) (2)) ((+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z))))) (2)) ((+.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) (2)) ((+.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)) (2)) ((+.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (2)) ((+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y))) (2)) ((+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z))) (2)) ((+.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y))) (2)) ((+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1) (2)) ((/.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 4 (/.f64 (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (2)) ((/.f64 4 (/.f64 (*.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (2)) ((/.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4)) (2)) ((/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) (2)) ((/.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) (2)) ((/.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (2)) ((/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (2)) ((/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((/.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))) z) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 1/2 z))))) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (/.f64 4 z))) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) z) 4)) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (*.f64 z 1/4)) 1)) (2)) ((/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (neg.f64 z)) -4)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))))) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 4 z))) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) z) 4)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (*.f64 z 1/4)) 1)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (neg.f64 z)) -4)) (2)) ((/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 -4 (/.f64 (neg.f64 z) (fma.f64 z -1/2 (-.f64 x y)))) (2)) ((/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (2)) ((/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (2)) ((/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))) (2)) ((/.f64 (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))) (2)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) (/.f64 z (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))) (2)) ((/.f64 (*.f64 4 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) (2)) 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(pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) -1) z) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 4 z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3)) (2)) ((cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3) (pow.f64 (/.f64 4 z) 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((exp.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) (2)) ((fma.f64 (/.f64 4 z) (-.f64 x y) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) (2)) ((fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) (2))) |
| 1× | egg-herbie |
| 864× | associate-/l* |
| 726× | times-frac |
| 684× | associate-*r* |
| 668× | associate-/l/ |
| 642× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10724 |
| 1 | 1528 | 9900 |
| 2 | 7140 | 9900 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y))) |
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) |
(+.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y)))) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z))))) |
(+.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) |
(+.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)) |
(+.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) |
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z))) |
(+.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1) |
(/.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y)))) |
(/.f64 4 (/.f64 (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) |
(/.f64 4 (/.f64 (*.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) |
(/.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y)))) |
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4)) |
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
(/.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) |
(/.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) |
(/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))) |
(/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) |
(/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) |
(/.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))) z) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 1/2 z))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (/.f64 4 z))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) z) 4)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (*.f64 z 1/4)) 1)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)) (neg.f64 z)) -4)) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 4 z))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) z) 4)) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (*.f64 z 1/4)) 1)) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (neg.f64 z)) -4)) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (fma.f64 z -1/2 (-.f64 x y)))) |
(/.f64 -4 (/.f64 (neg.f64 z) (fma.f64 z -1/2 (-.f64 x y)))) |
(/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) |
(/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))) |
(/.f64 (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) (/.f64 z (cbrt.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))))) |
(/.f64 (*.f64 4 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))) (/.f64 z (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2)) (/.f64 z (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (+.f64 (-.f64 x y) (*.f64 1/2 z))) |
(/.f64 (*.f64 (/.f64 4 z) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) |
(/.f64 (*.f64 (fma.f64 z -1/2 (-.f64 x y)) -4) (neg.f64 z)) |
(/.f64 (*.f64 4 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
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(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) -1) z) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 4 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3) (pow.f64 (/.f64 4 z) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) |
(fma.f64 (/.f64 4 z) (-.f64 x y) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z)) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (neg.f64 y)) z)) |
(/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 z) y) z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z)) |
(*.f64 4 (/.f64 (fma.f64 -1/2 z x) z)) |
(*.f64 (/.f64 4 z) (fma.f64 z -1/2 x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 z) x) z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 y -4) z) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 y -4) z) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 4 (/.f64 (*.f64 z (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 4 (/.f64 (*.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) |
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x))))))) |
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z) |
(/.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))))) |
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x))))))) |
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z) |
(/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)) (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y)))) |
(*.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (sqrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4))) |
(/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (*.f64 z 1/4))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (*.f64 z 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/2 (-.f64 x y))) 2) (*.f64 z 1/4))) |
(/.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y))) z) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (*.f64 (*.f64 z 1/4) (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 1/2 z))))) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
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(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) 4) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) 1) (cbrt.f64 z)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 4) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (cbrt.f64 z))) (/.f64 4 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 4) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (/.f64 4 (cbrt.f64 (sqrt.f64 z)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (*.f64 -4 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (neg.f64 z)) (+.f64 (-.f64 x y) (*.f64 1/2 z))) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 (/.f64 (*.f64 -4 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (neg.f64 z)) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) |
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x))))))) |
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) 4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) z) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) 1) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (*.f64 z 1/4)) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) -4) (+.f64 (-.f64 x y) (*.f64 1/2 z))) (neg.f64 z)) |
(*.f64 (/.f64 4 (*.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 -1/4 (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 z 1/4))) (*.f64 z (/.f64 (fma.f64 z 1/2 (-.f64 x y)) 4))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) 4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) z) |
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x))))))) |
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) 1) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (*.f64 z 1/4)) |
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x))))))) |
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) -4) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) (neg.f64 z)) |
(*.f64 (/.f64 4 z) (/.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 -1/2 (+.f64 y (-.f64 (*.f64 z -1/2) x))))))) |
(/.f64 (/.f64 (fma.f64 4 (pow.f64 (-.f64 x y) 3) (*.f64 -1/2 (pow.f64 z 3))) (fma.f64 (*.f64 z -1/2) (-.f64 (*.f64 z -1/2) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))) z) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) 1) (neg.f64 z)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) 4) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) -1) z) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) 4) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 2) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 3) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3) 1/3) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 2)) |
(fabs.f64 (*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 z -1/2 (-.f64 x y))) (/.f64 4 z))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 3)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z -1/2 (-.f64 x y)) 3) (pow.f64 (/.f64 4 z) 3))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(exp.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y)))) 1)) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
(fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))) |
(*.f64 (/.f64 4 z) (+.f64 x (fma.f64 z -1/2 (neg.f64 y)))) |
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
Compiled 41 to 22 computations (46.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 1× | batch-egg-rewrite |
| 1594× | associate-/r* |
| 1344× | associate-/l* |
| 570× | associate-/r/ |
| 334× | associate-+l+ |
| 300× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 275 | 31 |
| 2 | 3892 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Outputs |
|---|
(((-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1) (2)) ((*.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z))) (2)) ((*.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)) (2)) ((*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z))) (2)) ((*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) (2)) ((*.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z)) (2)) ((*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) (2)) ((*.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (2)) ((*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z))) (2)) ((*.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z))) (2)) ((*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((*.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (2)) ((*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4))) (2)) ((*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4) (2)) ((*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) (2)) ((*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) (2)) ((*.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4)) (2)) ((*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z))) (2)) ((*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z))) (2)) ((*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z))) (2)) ((*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1/2) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z)) (2)) ((*.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z) (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (cbrt.f64 z))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z)) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (2)) ((*.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) (2)) ((*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (2)) ((*.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) (2)) ((*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (2)) ((*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3) (2)) ((pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1) (2)) ((neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (2)) ((sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2)) (2)) ((log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3)) (2)) ((cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) (2))) |
| 1× | egg-herbie |
| 1004× | distribute-lft-in |
| 966× | distribute-rgt-in |
| 926× | associate-*r/ |
| 784× | associate-/l* |
| 694× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 2646 |
| 1 | 450 | 2476 |
| 2 | 1685 | 2398 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1) |
(*.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z))) |
(*.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)) |
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z))) |
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) |
(*.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z)) |
(*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) |
(*.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) |
(*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(*.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z)) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4))) |
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4) |
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4)) |
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z))) |
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z))) |
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1/2) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z)) |
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z) (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (cbrt.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3) |
(pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1) |
(neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2)) |
(log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) |
(/.f64 -4 (/.f64 z (fma.f64 1/2 z y))) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y)))) |
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y)))) |
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y)))) |
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y)))) |
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z))) |
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(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 1/2 z y)) z))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (pow.f64 (cbrt.f64 z) 2))) |
(/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (/.f64 1 z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) |
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z)) |
(*.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z)) |
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (/.f64 1 z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) |
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z)) |
(*.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z)) |
(pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
Compiled 24 to 10 computations (58.3% saved)
Compiled 7456 to 4334 computations (41.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 8 | 330 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 325 | 8 | 333 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.8% | (/.f64 (*.f64 y -4) z) |
| ▶ | 30.7% | (/.f64 -4 (/.f64 z y)) |
| ▶ | 100.0% | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| 62.7% | (*.f64 (-.f64 x y) (/.f64 4 z)) | |
| 62.9% | (*.f64 4 (/.f64 (-.f64 x y) z)) | |
| ▶ | 34.1% | (*.f64 4 (/.f64 x z)) |
| ▶ | 66.7% | (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
| 37.9% | -2 |
Compiled 136 to 102 computations (25% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 4 (/.f64 (-.f64 x y) z)) |
Compiled 32 to 13 computations (59.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0ms | z | @ | 0 | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0ms | x | @ | 0 | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0ms | x | @ | -inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0ms | y | @ | 0 | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 1× | batch-egg-rewrite |
| 1418× | associate-*l/ |
| 1414× | associate-/r* |
| 1160× | associate-/l* |
| 1016× | *-commutative |
| 492× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 202 | 19 |
| 2 | 2839 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
| Outputs |
|---|
(((+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1) (2)) ((/.f64 4 (/.f64 z (-.f64 x y))) (2)) ((/.f64 (-.f64 x y) (/.f64 z 4)) (2)) ((/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) (2)) ((/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4)) (2)) ((/.f64 (*.f64 4 (-.f64 x y)) z) (2)) ((/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4)) (2)) ((/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y))))) (2)) ((/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) (2)) ((/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z)) (2)) ((/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y))) (2)) ((/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) (2)) ((/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z)) (2)) ((/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y)) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y))) (2)) ((/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y)))) (2)) ((/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y)) (2)) ((/.f64 (*.f64 (*.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (2)) ((/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) (2)) ((/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z))) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 y z))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z)) (2)) ((/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z))) (2)) ((/.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) (2)) ((/.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x y))) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) (cbrt.f64 z)) (2)) ((/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y)) (2)) ((/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (2)) ((/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) (2)) ((/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (2)) ((/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) (2)) ((/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y))) (2)) ((/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y))) (2)) ((/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y)))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) (2)) ((pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) (2)) ((sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (2)) ((log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) (2))) |
| 1× | egg-herbie |
| 1344× | distribute-lft-in |
| 1318× | distribute-rgt-in |
| 748× | associate-/l* |
| 554× | distribute-lft-neg-in |
| 512× | distribute-lft-neg-out |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 4111 |
| 1 | 871 | 3473 |
| 2 | 3842 | 3469 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4)) |
(/.f64 (*.f64 4 (-.f64 x y)) z) |
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4)) |
(/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y))))) |
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y))) |
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) |
(/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 y z))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x y))) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) |
(/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
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(/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y)) |
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) |
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x)))) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x)))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) |
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) |
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x)))) |
(/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x)))) |
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) z) (sqrt.f64 (-.f64 x y))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z 4))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y))))) |
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) z) (cbrt.f64 (-.f64 x y))) |
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 z 4))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 z)) (sqrt.f64 (-.f64 x y))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 z))) (sqrt.f64 z))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 4 (/.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))) (sqrt.f64 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 (sqrt.f64 z))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 z)) (cbrt.f64 (-.f64 x y))) |
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))) |
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 (*.f64 (cbrt.f64 z) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 4 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 4 (*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z))) (/.f64 (sqrt.f64 z) (-.f64 x y)))) |
(*.f64 (/.f64 4 (sqrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (fabs.f64 (cbrt.f64 z)))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(*.f64 (/.f64 4 (cbrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (cbrt.f64 z))) (/.f64 4 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))) |
(/.f64 4 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 (*.f64 -4 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 (-.f64 y x) z)) 2)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 4 (/.f64 x z)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 4 (/.f64 x z)) |
| 0.0ms | x | @ | 0 | (*.f64 4 (/.f64 x z)) |
| 0.0ms | z | @ | 0 | (*.f64 4 (/.f64 x z)) |
| 0.0ms | z | @ | inf | (*.f64 4 (/.f64 x z)) |
| 0.0ms | x | @ | -inf | (*.f64 4 (/.f64 x z)) |
| 1× | batch-egg-rewrite |
| 1510× | add-sqr-sqrt |
| 1494× | *-un-lft-identity |
| 1398× | add-cube-cbrt |
| 1382× | add-cbrt-cube |
| 1368× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 148 | 13 |
| 2 | 1849 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 x z)) |
| Outputs |
|---|
(((-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) (2)) ((/.f64 4 (/.f64 z x)) (2)) ((/.f64 1 (/.f64 z (*.f64 4 x))) (2)) ((/.f64 (*.f64 4 x) z) (2)) ((/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z)) (2)) ((/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) 1) z) (2)) ((/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) (2)) ((pow.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4)) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) (2))) |
| 1× | egg-herbie |
| 1336× | distribute-lft-neg-out |
| 1066× | associate-*r* |
| 964× | associate-*l* |
| 956× | associate-+r+ |
| 896× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 525 |
| 1 | 145 | 399 |
| 2 | 559 | 273 |
| 3 | 4042 | 273 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) |
(/.f64 4 (/.f64 z x)) |
(/.f64 1 (/.f64 z (*.f64 4 x))) |
(/.f64 (*.f64 4 x) z) |
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 4 x) 1) z) |
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) |
(pow.f64 (*.f64 4 (/.f64 x z)) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4)) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 1 (/.f64 z (*.f64 4 x))) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 4 x) 1) z) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (*.f64 4 (/.f64 x z)) 1) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1) |
(+.f64 (*.f64 4 (/.f64 x z)) 0) |
(*.f64 4 (/.f64 x z)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (/.f64 -4 (/.f64 z y)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (/.f64 -4 (/.f64 z y)) |
| 1.0ms | z | @ | -inf | (/.f64 -4 (/.f64 z y)) |
| 1.0ms | z | @ | 0 | (/.f64 -4 (/.f64 z y)) |
| 0.0ms | y | @ | inf | (/.f64 -4 (/.f64 z y)) |
| 0.0ms | y | @ | 0 | (/.f64 -4 (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 1614× | add-sqr-sqrt |
| 1590× | *-un-lft-identity |
| 1494× | add-cube-cbrt |
| 1478× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 154 | 13 |
| 2 | 2010 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (/.f64 z y)) |
| Outputs |
|---|
(((-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1) (2)) ((*.f64 -4 (/.f64 y z)) (2)) ((*.f64 y (/.f64 -4 z)) (2)) ((*.f64 (*.f64 -4 (/.f64 y z)) 1) (2)) ((*.f64 1 (*.f64 -4 (/.f64 y z))) (2)) ((*.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((*.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((*.f64 (/.f64 -4 z) y) (2)) ((*.f64 (/.f64 y z) -4) (2)) ((*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y))) (2)) ((*.f64 (*.f64 (/.f64 -4 z) 1) y) (2)) ((*.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y)) (2)) ((*.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) (2)) ((*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y)) (2)) ((pow.f64 (*.f64 -4 (/.f64 y z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3) (2)) ((pow.f64 (*.f64 (/.f64 z y) -1/4) -1) (2)) ((sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2))) (2)) ((log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))) (2))) |
| 1× | egg-herbie |
| 1260× | associate-/l* |
| 1096× | distribute-lft-in |
| 1016× | distribute-rgt-in |
| 880× | associate-+r+ |
| 830× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 706 |
| 1 | 165 | 706 |
| 2 | 651 | 706 |
| 3 | 2582 | 706 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 y (/.f64 -4 z)) |
(*.f64 (*.f64 -4 (/.f64 y z)) 1) |
(*.f64 1 (*.f64 -4 (/.f64 y z))) |
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 y z) -4) |
(*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y))) |
(*.f64 (*.f64 (/.f64 -4 z) 1) y) |
(*.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
(*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y)) |
(pow.f64 (*.f64 -4 (/.f64 y z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3) |
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 z y) -1/4) -1) |
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2))) |
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z))))) |
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) |
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 y (/.f64 -4 z)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (*.f64 -4 (/.f64 y z)) 1) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 1 (*.f64 -4 (/.f64 y z))) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 -4 z) y) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y))) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 -4 z) 1) y) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
(*.f64 (/.f64 -4 z) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y)) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (*.f64 -4 (/.f64 y z)) 1) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (*.f64 (/.f64 z y) -1/4) -1) |
(*.f64 -4 (/.f64 y z)) |
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2))) |
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) -1/4) -2)) |
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) |
(*.f64 -4 (/.f64 y z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z))))) |
(*.f64 -4 (/.f64 y z)) |
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3)) |
(*.f64 -4 (/.f64 y z)) |
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 -4 (/.f64 y z)) |
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 -4 (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1)) |
(*.f64 -4 (/.f64 y z)) |
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))) |
(*.f64 -4 (/.f64 y z)) |
Compiled 14 to 9 computations (35.7% saved)
Compiled 22 to 12 computations (45.5% saved)
Compiled 3351 to 1631 computations (51.3% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 2 | 220 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 219 | 9 | 228 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 30.8% | (/.f64 (*.f64 y -4) z) |
| ▶ | 33.9% | (/.f64 4 (/.f64 z x)) |
| ✓ | 30.7% | (/.f64 -4 (/.f64 z y)) |
| ✓ | 100.0% | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ▶ | 70.2% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ▶ | 62.9% | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ✓ | 34.1% | (*.f64 4 (/.f64 x z)) |
| ✓ | 66.7% | (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
| 37.9% | -2 |
Compiled 78 to 60 computations (23.1% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (*.f64 4 (/.f64 (-.f64 x y) z)) |
Compiled 22 to 8 computations (63.6% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (*.f64 4 (/.f64 x z)) |
Compiled 22 to 12 computations (45.5% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (/.f64 4 (/.f64 z x)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 4 (/.f64 z x)) |
| 0.0ms | x | @ | inf | (/.f64 4 (/.f64 z x)) |
| 0.0ms | z | @ | inf | (/.f64 4 (/.f64 z x)) |
| 0.0ms | x | @ | -inf | (/.f64 4 (/.f64 z x)) |
| 0.0ms | z | @ | -inf | (/.f64 4 (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 1608× | add-sqr-sqrt |
| 1586× | *-un-lft-identity |
| 1492× | add-cube-cbrt |
| 1476× | add-cbrt-cube |
| 150× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 155 | 13 |
| 2 | 2022 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (/.f64 z x)) |
| Outputs |
|---|
(((-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1) (2)) ((*.f64 4 (/.f64 x z)) (2)) ((*.f64 x (/.f64 4 z)) (2)) ((*.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((*.f64 1 (*.f64 4 (/.f64 x z))) (2)) ((*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z)))) (2)) ((*.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z)))) (2)) ((*.f64 (/.f64 4 z) x) (2)) ((*.f64 (/.f64 x z) 4) (2)) ((*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x))) (2)) ((*.f64 (*.f64 (/.f64 4 z) 1) x) (2)) ((*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x)) (2)) ((pow.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) (2)) ((pow.f64 (*.f64 (/.f64 z x) 1/4) -1) (2)) ((sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) (2))) |
| 1× | egg-herbie |
| 1080× | associate-/r* |
| 848× | fma-def |
| 738× | log-prod |
| 730× | associate-/r/ |
| 688× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 676 |
| 1 | 173 | 676 |
| 2 | 598 | 676 |
| 3 | 2735 | 676 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 (*.f64 4 (/.f64 x z)) 1) |
(*.f64 1 (*.f64 4 (/.f64 x z))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z)))) |
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x))) |
(*.f64 (*.f64 (/.f64 4 z) 1) x) |
(*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x)) |
(pow.f64 (*.f64 4 (/.f64 x z)) 1) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 z x) 1/4) -1) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z))))) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (*.f64 4 (/.f64 x z)) 1) |
(*.f64 4 (/.f64 x z)) |
(*.f64 1 (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(*.f64 4 (/.f64 x z)) |
(*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 4 z) 1) x) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x)) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (*.f64 4 (/.f64 x z)) 1) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (*.f64 (/.f64 z x) 1/4) -1) |
(*.f64 4 (/.f64 x z)) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) |
(*.f64 4 (/.f64 x z)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z))))) |
(*.f64 4 (/.f64 x z)) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) |
(*.f64 4 (/.f64 x z)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) |
(*.f64 4 (/.f64 x z)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
Compiled 3042 to 1333 computations (56.2% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 1 | 217 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 217 | 9 | 226 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 30.8% | (/.f64 (*.f64 y -4) z) |
| ✓ | 30.7% | (/.f64 -4 (/.f64 z y)) |
| ✓ | 100.0% | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ✓ | 70.2% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ▶ | 34.0% | (*.f64 (/.f64 4 z) x) |
| ✓ | 62.9% | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ✓ | 34.1% | (*.f64 4 (/.f64 x z)) |
| ✓ | 66.7% | (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
| 37.9% | -2 |
Compiled 78 to 60 computations (23.1% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (/.f64 4 z) x) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 4 z) x) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 4 z) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 4 z) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 4 z) x) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 4 z) x) |
| 1× | batch-egg-rewrite |
| 1444× | add-sqr-sqrt |
| 1422× | *-un-lft-identity |
| 1334× | add-cube-cbrt |
| 1318× | add-cbrt-cube |
| 1304× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 149 | 13 |
| 2 | 1800 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 4 z) x) |
| Outputs |
|---|
(((-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) (2)) ((/.f64 4 (/.f64 z x)) (2)) ((/.f64 x (*.f64 z 1/4)) (2)) ((/.f64 1 (/.f64 z (*.f64 4 x))) (2)) ((/.f64 (*.f64 4 x) z) (2)) ((/.f64 (*.f64 x -4) (neg.f64 z)) (2)) ((/.f64 (*.f64 -4 x) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) 1) z) (2)) ((/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) (2)) ((pow.f64 (*.f64 4 (/.f64 x z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) (2)) ((cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) (2))) |
| 1× | egg-herbie |
| 1852× | distribute-rgt-in |
| 1840× | distribute-lft-in |
| 1084× | associate-*r* |
| 980× | associate-*l* |
| 648× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 598 |
| 1 | 146 | 598 |
| 2 | 553 | 598 |
| 3 | 4236 | 598 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) |
(/.f64 4 (/.f64 z x)) |
(/.f64 x (*.f64 z 1/4)) |
(/.f64 1 (/.f64 z (*.f64 4 x))) |
(/.f64 (*.f64 4 x) z) |
(/.f64 (*.f64 x -4) (neg.f64 z)) |
(/.f64 (*.f64 -4 x) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 4 x) 1) z) |
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) |
(pow.f64 (*.f64 4 (/.f64 x z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 x (*.f64 z 1/4)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 1 (/.f64 z (*.f64 4 x))) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 4 x) z) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 x -4) (neg.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 -4 x) (neg.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 4 x) 1) z) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (*.f64 4 (/.f64 x z)) 1) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3) |
(*.f64 4 (/.f64 x z)) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3) |
(*.f64 4 (/.f64 x z)) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) |
(*.f64 4 (/.f64 x z)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) |
(*.f64 4 (/.f64 x z)) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3)) |
(*.f64 4 (/.f64 x z)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1)) |
(*.f64 4 (/.f64 x z)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
(*.f64 4 (/.f64 x z)) |
Compiled 170 to 107 computations (37.1% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 0 | 23 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 23 | 9 | 32 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 30.8% | (/.f64 (*.f64 y -4) z) |
| ✓ | 30.7% | (/.f64 -4 (/.f64 z y)) |
| ✓ | 100.0% | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ✓ | 70.2% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 34.0% | (*.f64 (/.f64 4 z) x) |
| ✓ | 62.9% | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| ✓ | 34.1% | (*.f64 4 (/.f64 x z)) |
| ✓ | 66.7% | (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
| 37.9% | -2 |
Compiled 78 to 60 computations (23.1% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
5 calls:
| 31.0ms | (-.f64 x y) |
| 9.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| 6.0ms | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 128 to 77 computations (39.8% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
4 calls:
| 35.0ms | (-.f64 x y) |
| 28.0ms | y |
| 18.0ms | z |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | x |
| 86.6% | 3 | y |
| 88.2% | 3 | z |
| 82.3% | 6 | (-.f64 x y) |
Compiled 75 to 48 computations (36% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.7651002711597102e-12 | 2.926143683876368e-10 |
| 15.0ms | -3.566711477746187e-7 | -2.7253928542984336e-11 |
| 24.0ms | 240× | body | 256 | valid |
Compiled 350 to 285 computations (18.6% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
4 calls:
| 150.0ms | y |
| 75.0ms | z |
| 22.0ms | (-.f64 x y) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | x |
| 77.7% | 9 | y |
| 85.6% | 5 | z |
| 80.1% | 3 | (-.f64 x y) |
Compiled 68 to 44 computations (35.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 4.225667108942379e-30 | 7.301480293633729e-30 |
| 15.0ms | -3.566711477746187e-7 | -2.7253928542984336e-11 |
| 38.0ms | 192× | body | 256 | valid |
Compiled 284 to 219 computations (22.9% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 x z)) |
3 calls:
| 70.0ms | z |
| 36.0ms | x |
| 25.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 5 | x |
| 71.9% | 5 | y |
| 70.9% | 5 | z |
Compiled 48 to 33 computations (31.3% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.7255350849185752e+108 | 4.6315077576977957e+108 |
| 56.0ms | 1.1401756434329445e+70 | 1.5019868502396925e+78 |
| 14.0ms | 1.7651002711597102e-12 | 2.926143683876368e-10 |
| 25.0ms | -5.309101672221475e+216 | -1.205271903927017e+208 |
| 86.0ms | 480× | body | 256 | valid |
| 11.0ms | 58× | body | 256 | infinite |
Compiled 620 to 495 computations (20.2% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
| Outputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
-2 |
3 calls:
| 81.0ms | y |
| 51.0ms | x |
| 33.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 5 | x |
| 59.6% | 9 | y |
| 60.4% | 7 | z |
Compiled 41 to 28 computations (31.7% saved)
| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.6431181324551185e+179 | 1.2134238037317091e+182 |
| 17.0ms | 1.518964249017229e+115 | 9.818281235711588e+123 |
| 10.0ms | 1.427028008219661e+25 | 3.211165849991394e+25 |
| 63.0ms | 2.8517518792232846e-163 | 7.435277246691753e-159 |
| 26.0ms | -7.350418483915882e-155 | -1.7652334897519492e-164 |
| 18.0ms | -4.420277354638767e+76 | -1.2441774648011512e+69 |
| 123.0ms | 768× | body | 256 | valid |
| 15.0ms | 156× | body | 256 | infinite |
Compiled 760 to 625 computations (17.8% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 4 (/.f64 z x)) |
| Outputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
-2 |
3 calls:
| 158.0ms | y |
| 32.0ms | z |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 5 | x |
| 59.6% | 9 | y |
| 60.4% | 7 | z |
Compiled 36 to 25 computations (30.6% saved)
| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.6431181324551185e+179 | 1.2134238037317091e+182 |
| 17.0ms | 1.518964249017229e+115 | 9.818281235711588e+123 |
| 9.0ms | 1.427028008219661e+25 | 3.211165849991394e+25 |
| 25.0ms | 2.8517518792232846e-163 | 7.435277246691753e-159 |
| 25.0ms | -7.350418483915882e-155 | -1.7652334897519492e-164 |
| 17.0ms | -4.420277354638767e+76 | -1.2441774648011512e+69 |
| 84.0ms | 768× | body | 256 | valid |
| 17.0ms | 171× | body | 256 | infinite |
Compiled 760 to 625 computations (17.8% saved)
Total -34.3b remaining (-123.9%)
Threshold costs -34.3b (-123.9%)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
3 calls:
| 27.0ms | y |
| 17.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 3 | x |
| 49.0% | 9 | y |
| 56.4% | 5 | z |
Compiled 26 to 19 computations (26.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 4.225667108942379e-30 | 7.301480293633729e-30 |
| 16.0ms | -4.2635757461817675e-59 | -4.983656550917499e-66 |
| 21.0ms | 208× | body | 256 | valid |
Compiled 202 to 171 computations (15.3% saved)
| 1× | egg-herbie |
| 20× | if-if-or-not |
| 12× | not-or |
| 10× | sub-neg |
| 10× | +-commutative |
| 10× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 516 |
| 1 | 119 | 504 |
| 2 | 136 | 498 |
| 3 | 149 | 486 |
| 4 | 156 | 486 |
| 5 | 161 | 486 |
| 6 | 162 | 486 |
| 7 | 163 | 486 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(if (<=.f64 x -7118155225890937/77371252455336267181195264) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 2630622583481433/38685626227668133590597632) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (*.f64 4 (/.f64 x z)) 2))) |
(if (<=.f64 x -4722366482869645/18889465931478580854784) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5415987671873539/19342813113834066795298816) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z)))))) |
(if (<=.f64 z -9199999999999999404512889036576543873379094196893234688926496751118974976) -2 (if (<=.f64 z -8864321588796067/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (/.f64 (*.f64 y -4) z) (if (<=.f64 z 16999999999999999177916416) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2)))))) |
(if (<=.f64 z -106000000000000000025854552112654631581052551670985409191234665562767360) -2 (if (<=.f64 z -1422149808470351/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4748743708283607/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 -4 (/.f64 z y)) (if (<=.f64 z 27000000000000000083886080) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2)))))) |
(if (<=.f64 x -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) -2 (*.f64 4 (/.f64 x z)))) |
-2 |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2) |
(if (<=.f64 x -7118155225890937/77371252455336267181195264) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 2630622583481433/38685626227668133590597632) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (*.f64 4 (/.f64 x z)) 2))) |
(if (or (<=.f64 x -7118155225890937/77371252455336267181195264) (not (<=.f64 x 2630622583481433/38685626227668133590597632))) (+.f64 (*.f64 4 (/.f64 x z)) -2) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (<=.f64 x -4722366482869645/18889465931478580854784) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(if (or (<=.f64 x -4722366482869645/18889465931478580854784) (not (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328))) (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5415987671873539/19342813113834066795298816) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z)))))) |
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5415987671873539/19342813113834066795298816) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))))) |
(if (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (*.f64 4 (/.f64 x z)) (if (or (<=.f64 x 5415987671873539/19342813113834066795298816) (not (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (*.f64 4 (/.f64 x z)))) |
(if (or (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (not (or (<=.f64 x 5415987671873539/19342813113834066795298816) (not (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (or (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (not (or (<=.f64 x 5415987671873539/19342813113834066795298816) (and (not (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664)) (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (or (<=.f64 x -12500000000000000913898527290685657138951994196302563375527970305513905277972410648442042626798217658345133599996220390666862848950655380583818363531605929880491322006784698091695307697231832347684735606063104) (and (not (<=.f64 x 5415987671873539/19342813113834066795298816)) (or (<=.f64 x 329999999999999980177207409951018902498300814954021559732731551430199857905664) (not (<=.f64 x 3500000000000000249366773480916995603484435577195345474290984696552483491744191675204998842186116256462012416))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (<=.f64 z -9199999999999999404512889036576543873379094196893234688926496751118974976) -2 (if (<=.f64 z -8864321588796067/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (/.f64 (*.f64 y -4) z) (if (<=.f64 z 16999999999999999177916416) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2)))))) |
(if (<=.f64 z -9199999999999999404512889036576543873379094196893234688926496751118974976) -2 (if (<=.f64 z -8864321588796067/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (/.f64 (*.f64 y -4) z) (if (or (<=.f64 z 16999999999999999177916416) (and (not (<=.f64 z 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944)) (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720))) (*.f64 4 (/.f64 x z)) -2)))) |
(if (<=.f64 z -106000000000000000025854552112654631581052551670985409191234665562767360) -2 (if (<=.f64 z -1422149808470351/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4748743708283607/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 -4 (/.f64 z y)) (if (<=.f64 z 27000000000000000083886080) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712) -2 (if (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720) (*.f64 4 (/.f64 x z)) -2)))))) |
(if (<=.f64 z -106000000000000000025854552112654631581052551670985409191234665562767360) -2 (if (<=.f64 z -1422149808470351/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (*.f64 4 (/.f64 x z)) (if (<=.f64 z 4748743708283607/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.f64 -4 (/.f64 z y)) (if (or (<=.f64 z 27000000000000000083886080) (and (not (<=.f64 z 9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712)) (<=.f64 z 164999999999999988857068847848472729358948268729770277047673943986314834630111841760960432755103021260034937643759609474532192340231150986387212272174855263347512170685271868702720))) (*.f64 4 (/.f64 x z)) -2)))) |
(if (<=.f64 x -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328) -2 (*.f64 4 (/.f64 x z)))) |
(if (or (<=.f64 x -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664) (not (<=.f64 x 1248841731117715/178405961588244985132285746181186892047843328))) (*.f64 4 (/.f64 x z)) -2) |
-2 |
Compiled 209 to 155 computations (25.8% saved)
| 1× | egg-herbie |
| 1062× | associate-/l* |
| 916× | fma-def |
| 892× | associate-*l* |
| 866× | times-frac |
| 680× | associate-/r* |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 26 | 31 |
| 2 | 69 | 27 |
| 3 | 211 | 27 |
| 4 | 537 | 27 |
| 5 | 1515 | 21 |
| 6 | 6136 | 21 |
| 1× | node limit |
Compiled 60 to 36 computations (40% saved)
Compiled 188 to 126 computations (33% saved)
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