Time bar (total: 7.6s)
| 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)
| 1.2s | 8256× | body | 256 | valid |
| 263.0ms | 1668× | 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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 4 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 5 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.02% | (fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| ▶ | 0.03% | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| ▶ | 0.29% | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
| ▶ | 0.35% | (*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
Compiled 53 to 38 computations (28.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.35% | (*.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 | x | @ | 0 | (*.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))) |
| 0.0ms | x | @ | inf | (*.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) x) (+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (+.f64 (*.f64 z -1/2) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (+.f64 y (*.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 z)) (+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1) (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1) (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 (/.f64 4 z) x)) (*.f64 (/.f64 4 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) (*.f64 x (/.f64 4 z))) (*.f64 (neg.f64 y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) (+.f64 x (*.f64 z -1/2))) (*.f64 (/.f64 4 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 1)) (*.f64 1 (*.f64 (*.f64 z (*.f64 -1/2 (/.f64 4 z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (fma.f64 z -1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 z) (/.f64 1 (fma.f64 z -1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z -1/2 (-.f64 x y)) (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 z) (fma.f64 z -1/2 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule 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((x fma.f64 (-.f64 x y) (/.f64 4 z) (*.f64 z (*.f64 -1/2 (/.f64 4 z)))))))) |
| 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))))) |
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(/.f64 (/.f64 (*.f64 -4 (fma.f64 z -1/2 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 -4 (fma.f64 z -1/2 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 -4 (fma.f64 z -1/2 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.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 (*.f64 -4 (fma.f64 z -1/2 (-.f64 x y))) -1) z) |
(/.f64 (/.f64 (*.f64 -4 (fma.f64 z -1/2 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 -4 (fma.f64 z -1/2 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 4 z)) 1) (+.f64 (-.f64 x y) (*.f64 1/2 z))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 4 z)) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 4 z)) (*.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z))))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 1/2 z)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))) (/.f64 4 z)) (+.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 z -1/2)))) (-.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 z -1/2)))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 4 z)) 1) (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 4 z)) (sqrt.f64 (+.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) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3))) (/.f64 4 z)) (*.f64 (cbrt.f64 (+.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) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (+.f64 (-.f64 (*.f64 z -1/2) x) y))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (sqrt.f64 z) 4)) 1) (sqrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (sqrt.f64 z) 4)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.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 (/.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 (/.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)) (/.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)) (/.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (neg.f64 (*.f64 4 (fma.f64 z -1/2 (-.f64 x y)))) 1) (neg.f64 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 (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 (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)))) |
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(*.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.03% | (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))) |
| ✓ | 0.28% | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
Compiled 41 to 21 computations (48.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
| 1.0ms | x | @ | inf | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
| 0.0ms | x | @ | 0 | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
| 0.0ms | x | @ | 0 | (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))) |
| 0.0ms | y | @ | 0 | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
| 1× | batch-egg-rewrite |
| 1726× | associate-/r* |
| 1142× | associate-/l* |
| 898× | associate-/r/ |
| 326× | associate-+l+ |
| 294× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 1 | 282 | 56 |
| 2 | 4003 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2) (cbrt.f64 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))))) |
| 1× | egg-herbie |
| 818× | +-commutative |
| 716× | associate-*r* |
| 658× | *-commutative |
| 646× | associate-+r+ |
| 614× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 458 | 9107 |
| 1 | 1474 | 8149 |
| 2 | 6681 | 8149 |
| 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 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 z (-.f64 x y)) |
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2)))) |
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))))) |
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4)))))) |
-2 |
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2) |
-2 |
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2) |
(*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))))) |
(/.f64 z x) |
(+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 3) z) (pow.f64 x 4))))) |
(/.f64 z x) |
(+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 3) z) (pow.f64 x 4))))) |
(/.f64 z (-.f64 x (*.f64 1/2 z))) |
(+.f64 (/.f64 (*.f64 y z) (pow.f64 (-.f64 x (*.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (*.f64 1/2 z)) 3)) (+.f64 (/.f64 (*.f64 y z) (pow.f64 (-.f64 x (*.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (*.f64 1/2 z)) 3)) (+.f64 (/.f64 (*.f64 y z) (pow.f64 (-.f64 x (*.f64 1/2 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 (-.f64 x (*.f64 1/2 z)) 4)) (/.f64 z (-.f64 x (*.f64 1/2 z)))))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 z)) z) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y)))) |
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(*.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))) |
(pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 3) |
(pow.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) -1) |
(neg.f64 (/.f64 z (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2)) |
(log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) |
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(-.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 y (*.f64 1/2 z)) z)) |
(*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z)) |
(/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) 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 z 1/2)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) 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 z 1/2)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) 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 z 1/2)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) 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 z 1/2)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) 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 z 1/2)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) 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 z 1/2)) z))) |
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 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 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)) |
(*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z))) |
(fma.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z) (/.f64 (*.f64 y -4) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z))) |
(fma.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z) (/.f64 (*.f64 y -4) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z))) |
(fma.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z) (/.f64 (*.f64 y -4) 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 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) 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 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2)) |
(/.f64 z (-.f64 x y)) |
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2)))) |
(+.f64 (/.f64 z (-.f64 x y)) (/.f64 (*.f64 1/2 (*.f64 z z)) (pow.f64 (-.f64 x y) 2))) |
(fma.f64 1/2 (/.f64 z (/.f64 (pow.f64 (-.f64 x y) 2) z)) (/.f64 z (-.f64 x y))) |
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))))) |
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 (*.f64 z z) (pow.f64 (-.f64 x y) 2)) (/.f64 (*.f64 1/4 (pow.f64 z 3)) (pow.f64 (-.f64 x y) 3)))) |
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)) (/.f64 1/2 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z))))) |
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4)))))) |
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 (*.f64 z z) (pow.f64 (-.f64 x y) 2)) (fma.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)) (/.f64 (*.f64 1/8 (pow.f64 z 4)) (pow.f64 (-.f64 x y) 4))))) |
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 z (/.f64 (pow.f64 (-.f64 x y) 2) z)) (fma.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4)) (/.f64 (*.f64 1/4 (pow.f64 z 3)) (pow.f64 (-.f64 x y) 3))))) |
-2 |
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 -4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 (-.f64 x y) z) -4 -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2) |
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)))) -2) |
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) -2)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2) |
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (fma.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z))))) -2) |
(+.f64 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))) (fma.f64 (/.f64 (-.f64 x y) z) -4 -2)) |
(+.f64 (fma.f64 (/.f64 (-.f64 x y) z) -4 -2) (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))))) |
-2 |
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 -4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 (-.f64 x y) z) -4 -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2) |
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)))) -2) |
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) -2)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2) |
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (fma.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z))))) -2) |
(+.f64 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))) (fma.f64 (/.f64 (-.f64 x y) z) -4 -2)) |
(+.f64 (fma.f64 (/.f64 (-.f64 x y) z) -4 -2) (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (*.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))))) |
(*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))) |
(/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2))) |
(/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))) |
(fma.f64 -1 (/.f64 (*.f64 x z) (pow.f64 (+.f64 y (*.f64 z 1/2)) 2)) (/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2)))) |
(-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))) |
(fma.f64 -1 (/.f64 (*.f64 x z) (pow.f64 (+.f64 y (*.f64 z 1/2)) 2)) (fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 3) (*.f64 x x))) (/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 (+.f64 y (*.f64 1/2 z)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (*.f64 1/2 z)) 3))) (*.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z))))))) |
(fma.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (*.f64 z 1/2)) 4)) (fma.f64 -1 (/.f64 (*.f64 x z) (pow.f64 (+.f64 y (*.f64 z 1/2)) 2)) (fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 3) (*.f64 x x))) (/.f64 (neg.f64 z) (+.f64 y (*.f64 z 1/2)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 4)) (pow.f64 x 3))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) x)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 x x))) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 4)) (pow.f64 x 3))) |
(/.f64 z x) |
(+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)) |
(+.f64 (/.f64 z x) (/.f64 (+.f64 y (*.f64 z 1/2)) (/.f64 (*.f64 x x) z))) |
(+.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) (/.f64 (*.f64 x x) z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))) |
(+.f64 (+.f64 (/.f64 z x) (/.f64 (+.f64 y (*.f64 z 1/2)) (/.f64 (*.f64 x x) z))) (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 2) (/.f64 (pow.f64 x 3) z))) |
(+.f64 (/.f64 z x) (+.f64 (/.f64 (fma.f64 z 1/2 y) (/.f64 (*.f64 x x) z)) (*.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (pow.f64 x 3)) z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (+.f64 y (*.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 (+.f64 y (*.f64 1/2 z)) 3) z) (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 2) (/.f64 (pow.f64 x 3) z)) (+.f64 (+.f64 (/.f64 z x) (/.f64 (+.f64 y (*.f64 z 1/2)) (/.f64 (*.f64 x x) z))) (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 3) (/.f64 (pow.f64 x 4) z)))) |
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(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(pow.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) -1) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(neg.f64 (/.f64 z (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2)) |
(fabs.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))) |
(log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3)) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 1)) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.03% | (/.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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | 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) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0ms | y | @ | -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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))))) |
| 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))) |
(+.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 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)) |
(*.f64 4 (/.f64 (+.f64 x (*.f64 z -1/2)) z)) |
(/.f64 4 (/.f64 z (-.f64 x (*.f64 1/2 z)))) |
(fma.f64 4 (/.f64 x z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 -4 z) y) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2))) |
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 4 (+.f64 (/.f64 x z) -1/2) (/.f64 -4 (/.f64 z y))) |
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(-.f64 (exp.f64 (log1p.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) |
(*.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.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) |
(*.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.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) |
(*.f64 1 (*.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) |
(*.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))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 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)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.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))) |
(*.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 (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)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.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)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 1 z) (*.f64 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 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 4 (sqrt.f64 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (-.f64 x (fma.f64 1/2 z y)) (/.f64 4 (*.f64 (sqrt.f64 z) (sqrt.f64 z)))) |
(*.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 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4)) |
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z))) |
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 4 (sqrt.f64 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (-.f64 x (fma.f64 1/2 z y)) (/.f64 4 (*.f64 (sqrt.f64 z) (sqrt.f64 z)))) |
(*.f64 (/.f64 4 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) |
(*.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 4 (sqrt.f64 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (-.f64 x (fma.f64 1/2 z y)) (/.f64 4 (*.f64 (sqrt.f64 z) (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 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4)) |
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z))) |
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (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))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4)) |
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z))) |
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (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)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 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))))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -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 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)) 4)) |
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z))) |
(*.f64 4 (/.f64 (/.f64 (-.f64 x (fma.f64 1/2 z y)) (cbrt.f64 z)) (pow.f64 (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)) |
(*.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 (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))) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) (sqrt.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (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 (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) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| ✓ | 0.02% | (/.f64 (-.f64 x y) z) |
Compiled 24 to 10 computations (58.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 x y) z) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x y) z) |
| 0.0ms | z | @ | inf | (/.f64 (-.f64 x y) z) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 x y) z) |
| 0.0ms | z | @ | -inf | (/.f64 (-.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 1398× | associate-*r/ |
| 1264× | associate-/r* |
| 1096× | *-commutative |
| 1088× | associate-/l* |
| 972× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 240 | 34 |
| 2 | 3170 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) z) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (/.f64 (-.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4)) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4) 1) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3)) 1) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))))))) |
| 1× | egg-herbie |
| 1174× | associate-*r/ |
| 988× | distribute-lft-in |
| 976× | associate-*l/ |
| 966× | distribute-rgt-in |
| 722× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 3193 |
| 1 | 387 | 2925 |
| 2 | 1638 | 2557 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(*.f64 -1 (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 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 (/.f64 x z) (neg.f64 (/.f64 y z))) |
(+.f64 (neg.f64 (/.f64 y z)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1) |
(*.f64 (-.f64 x y) (/.f64 1 z)) |
(*.f64 (/.f64 (-.f64 x y) z) 1) |
(*.f64 1 (/.f64 (-.f64 x y) z)) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) z)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (/.f64 1 z) (-.f64 x y)) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -1 z)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z))) |
(*.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 -1 z) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z))) |
(pow.f64 (/.f64 (-.f64 x y) z) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3) |
(pow.f64 (/.f64 z (-.f64 x y)) -1) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z))) |
(+.f64 -2 (*.f64 (/.f64 (-.f64 x y) z) 4)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) 1) |
(*.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(*.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) |
(*.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)) |
(/.f64 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4)) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)) |
(/.f64 (*.f64 1 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4) 1) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)) |
(/.f64 (*.f64 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3)) 1) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y)))))) |
(pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 3) |
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2)) |
(log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))) |
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 -1 (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(fma.f64 -4 (/.f64 y z) -2) |
(fma.f64 (/.f64 y z) -4 -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(*.f64 (/.f64 4 z) x) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 x z) 4) |
(*.f64 (/.f64 4 z) x) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 x z) 4 -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 (/.f64 y z) -4) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z))) |
(/.f64 (-.f64 x y) z) |
(+.f64 (neg.f64 (/.f64 y z)) (/.f64 x z)) |
(/.f64 (-.f64 x y) z) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1) |
(/.f64 (-.f64 x y) z) |
(*.f64 (-.f64 x y) (/.f64 1 z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (-.f64 x y) z) 1) |
(/.f64 (-.f64 x y) z) |
(*.f64 1 (/.f64 (-.f64 x y) z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 1 z) (-.f64 x y)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -1 z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (sqrt.f64 (-.f64 x y))) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) |
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) |
(*.f64 (/.f64 -1 z) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (-.f64 x y) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z)) |
(/.f64 (-.f64 x y) z) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2))) |
(pow.f64 (/.f64 (-.f64 x y) z) 1) |
(/.f64 (-.f64 x y) z) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2) |
(/.f64 (-.f64 x y) z) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3) |
(/.f64 (-.f64 x y) z) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3) |
(/.f64 (-.f64 x y) z) |
(pow.f64 (/.f64 z (-.f64 x y)) -1) |
(/.f64 (-.f64 x y) z) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z))) |
(/.f64 (-.f64 x y) z) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (-.f64 x y) z) |
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z)))) |
(/.f64 (-.f64 x y) z) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3)) |
(/.f64 (-.f64 x y) z) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
(+.f64 -2 (*.f64 (/.f64 (-.f64 x y) z) 4)) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) 1) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2)) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (fma.f64 (/.f64 (-.f64 x y) z) 4 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) -2) 16 -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y)))))) |
(/.f64 (+.f64 -8 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (-.f64 4 (*.f64 (/.f64 -8 z) (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (+.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 4) (/.f64 8 (/.f64 z (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (+.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) -2) 16 4) (*.f64 (-.f64 x y) (/.f64 8 z)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4)) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (fma.f64 (/.f64 (-.f64 x y) z) 4 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) -2) 16 -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (*.f64 1 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y)))))) |
(/.f64 (+.f64 -8 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (-.f64 4 (*.f64 (/.f64 -8 z) (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (+.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 4) (/.f64 8 (/.f64 z (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (+.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) -2) 16 4) (*.f64 (-.f64 x y) (/.f64 8 z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) 4) 1) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) -2)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (fma.f64 (/.f64 (-.f64 x y) z) 4 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) -2) 16 -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (*.f64 (+.f64 -8 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3)) 1) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) (*.f64 (/.f64 (-.f64 x y) z) 4)) (-.f64 4 (/.f64 -8 (/.f64 z (-.f64 x y)))))) |
(/.f64 (+.f64 -8 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (-.f64 4 (*.f64 (/.f64 -8 z) (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (+.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 4) (/.f64 8 (/.f64 z (-.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (+.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) -2) 16 4) (*.f64 (-.f64 x y) (/.f64 8 z)))) |
(pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 3) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3) 1/3) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2)) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3)) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4)) -2) |
(fma.f64 (/.f64 y z) -4 (fma.f64 (/.f64 x z) 4 -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
Compiled 15231 to 8796 computations (42.2% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 686 | 11 | 697 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 1 | 3 |
| Total | 689 | 12 | 701 |
| Status | Error | Program |
|---|---|---|
| ▶ | 72.28% | (/.f64 (*.f64 y -4) z) |
| ✓ | 0.03% | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 67.38% | (/.f64 4 (/.f64 z x)) | |
| 62.3% | (/.f64 4 (*.f64 (/.f64 z (-.f64 (*.f64 x x) (*.f64 (+.f64 y (*.f64 z 1/2)) (+.f64 y (*.f64 z 1/2))))) (+.f64 (+.f64 x y) (*.f64 z 1/2)))) | |
| ▶ | 0.02% | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| 27.1% | (-.f64 (*.f64 4 (/.f64 x z)) 2) | |
| ▶ | 30.89% | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ▶ | 67.25% | (*.f64 (/.f64 x z) 4) |
| 67.34% | (*.f64 (/.f64 4 z) x) | |
| ▶ | 72.38% | (*.f64 (/.f64 -4 z) y) |
| 41.93% | (*.f64 (-.f64 x y) (/.f64 4 z)) | |
| 57.03% | -2 |
Compiled 242 to 178 computations (26.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| 0.02% | (/.f64 (-.f64 x y) z) | |
| ✓ | 0.02% | (*.f64 4 (/.f64 (-.f64 x y) z)) |
Compiled 32 to 13 computations (59.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0ms | x | @ | -inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 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)) |
| 1× | batch-egg-rewrite |
| 1668× | associate-/r* |
| 1346× | associate-/l* |
| 714× | distribute-lft-in |
| 426× | associate-/r/ |
| 312× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 254 | 40 |
| 2 | 3524 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) 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z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 (-.f64 x y) z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) z) 4 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) -2))))) |
| 1× | egg-herbie |
| 1426× | associate-/r/ |
| 496× | +-commutative |
| 442× | associate-/l/ |
| 428× | associate-/l* |
| 396× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 392 | 8304 |
| 1 | 1098 | 6814 |
| 2 | 4413 | 6808 |
| 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 y z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
-2 |
-2 |
(+.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 z (*.f64 4 (-.f64 x y)))) |
(/.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 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 (-.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 4 (neg.f64 (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (-.f64 x y))) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z))) |
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(/.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 (cbrt.f64 (*.f64 z z)) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y))) |
(/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (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))) (cbrt.f64 (*.f64 z z))) (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 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (cbrt.f64 (*.f64 z z))) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) -1) z) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 (cbrt.f64 (*.f64 z z)))) (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 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (cbrt.f64 (*.f64 z z)))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (-.f64 x y))) 1) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (-.f64 x y))) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (-.f64 x y))) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (-.f64 x y))) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 z z)) (-.f64 x y))) (cbrt.f64 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 (cbrt.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))) (cbrt.f64 (*.f64 z z))) (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 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) |
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) 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 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2) |
(+.f64 -2 (*.f64 4 (/.f64 (-.f64 x y) z))) |
(*.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(*.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) |
(*.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (/.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) 2))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) |
(*.f64 (/.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)) |
(*.f64 (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)) (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (+.f64 8 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (-.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8)) (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8))))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) 3) (pow.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (-.f64 (*.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8)) (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8))) (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (+.f64 4 (*.f64 (/.f64 (-.f64 x y) z) 8)))))) |
(/.f64 1 (/.f64 1 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(/.f64 1 (/.f64 (-.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (-.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)) (/.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)) (/.f64 (-.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)) (/.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8))) (/.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8))) (/.f64 (-.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4))) (/.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) 64) (*.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))) (+.f64 8 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) 64) (*.f64 (-.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)) (+.f64 8 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) 16) (*.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) 3) 512) (*.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) (+.f64 64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) 8))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) 3) 512) (*.f64 (-.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) (*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64)) (+.f64 64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) 8))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) 3) 64) (*.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) 16) (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) 4)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4)) (neg.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8)) (neg.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) 1) (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2))) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) -4) (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2)) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2)))) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) 2))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) 1) (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64) -8) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)))))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) |
(pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 3) |
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2)) |
(log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))) |
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 (-.f64 x y) z) 4 -2) |
(fma.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z)) -2) |
(fma.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) -2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) -2) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(fma.f64 -4 (/.f64 y z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 64 -8) (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16 (fma.f64 (/.f64 (-.f64 x y) z) 8 4))) |
(pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 1) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 3) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3) 1/3) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2)) |
(fabs.f64 (fma.f64 (/.f64 4 z) (-.f64 x y) -2)) |
(log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 3)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(exp.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) 1)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 (/.f64 (-.f64 x y) z) 4 -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z)) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.39% | (*.f64 (/.f64 -4 z) y) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 -4 z) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 -4 z) y) |
| 1× | batch-egg-rewrite |
| 1450× | add-sqr-sqrt |
| 1426× | *-un-lft-identity |
| 1336× | add-cube-cbrt |
| 1320× | add-cbrt-cube |
| 1306× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 148 | 13 |
| 2 | 1800 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -4 z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 1852× | distribute-rgt-in |
| 1840× | distribute-lft-in |
| 1084× | associate-*r* |
| 980× | associate-*l* |
| 654× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 598 |
| 1 | 146 | 598 |
| 2 | 554 | 598 |
| 3 | 4237 | 598 |
| 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 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 y (*.f64 z -1/4)) |
(/.f64 1 (/.f64 z (*.f64 -4 y))) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 (*.f64 y 4) (neg.f64 z)) |
(/.f64 (*.f64 4 y) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 -4 y) 1) z) |
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 -4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z)) |
(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) |
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 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 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 y (*.f64 z -1/4)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 1 (/.f64 z (*.f64 -4 y))) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 -4 y) z) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 y 4) (neg.f64 z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 4 y) (neg.f64 z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 -4 y) 1) z) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 -4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z)) |
(*.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)) |
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2)) |
(*.f64 -4 (/.f64 y z)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.04% | (*.f64 (/.f64 x z) 4) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 x z) 4) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 x z) 4) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x z) 4) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x z) 4) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x z) 4) |
| 1× | batch-egg-rewrite |
| 1514× | add-sqr-sqrt |
| 1498× | *-un-lft-identity |
| 1402× | add-cube-cbrt |
| 1386× | add-cbrt-cube |
| 1372× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 148 | 13 |
| 2 | 1852 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) 4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x z) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) 4))))))) |
| 1× | egg-herbie |
| 928× | associate-*r* |
| 784× | associate-*l* |
| 752× | associate-+l+ |
| 720× | associate-+r+ |
| 390× | distribute-rgt-neg-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 598 |
| 1 | 151 | 598 |
| 2 | 569 | 598 |
| 3 | 3444 | 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 (/.f64 x z) 4)) 1) |
(/.f64 x (/.f64 z 4)) |
(/.f64 4 (/.f64 z x)) |
(/.f64 1 (/.f64 z (*.f64 x 4))) |
(/.f64 (*.f64 x 4) z) |
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 x 4) 1) z) |
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z)) |
(pow.f64 (*.f64 (/.f64 x z) 4) 1) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) 4)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) 4) 3) 1/3) |
(sqrt.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2))) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) 4) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) 4))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x z) 4))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) 4)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) 4))) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 x z) 4)) 1) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 x (/.f64 z 4)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 1 (/.f64 z (*.f64 x 4))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 x 4) z) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 (*.f64 x 4) 1) z) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(pow.f64 (*.f64 (/.f64 x z) 4) 1) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) 4)) 3) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) 4) 3) 1/3) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(sqrt.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) 4) 3)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) 4))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(exp.f64 (log.f64 (*.f64 (/.f64 x z) 4))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) 4)) 1)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) 4))) |
(*.f64 4 (/.f64 x z)) |
(*.f64 x (/.f64 4 z)) |
Compiled 14 to 9 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.05% | (*.f64 -4 (/.f64 y z)) |
Compiled 22 to 12 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | y | @ | 0 | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | y | @ | -inf | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | z | @ | -inf | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | z | @ | inf | (*.f64 -4 (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 1520× | add-sqr-sqrt |
| 1500× | *-un-lft-identity |
| 1404× | add-cube-cbrt |
| 1388× | add-cbrt-cube |
| 1374× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 147 | 13 |
| 2 | 1851 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 1046× | associate-*r* |
| 990× | distribute-rgt-neg-out |
| 966× | distribute-lft-neg-out |
| 926× | associate-*l* |
| 652× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 531 |
| 1 | 146 | 417 |
| 2 | 546 | 297 |
| 3 | 3917 | 297 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1) |
(/.f64 -4 (/.f64 z y)) |
(/.f64 1 (/.f64 z (*.f64 -4 y))) |
(/.f64 (*.f64 -4 y) z) |
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 -4 y) 1) z) |
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z)) |
(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) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4)) |
(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 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 1 (/.f64 z (*.f64 -4 y))) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 -4 y) z) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 -4 y) 1) z) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) |
(/.f64 (*.f64 -4 y) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)))) |
(*.f64 (/.f64 -4 (cbrt.f64 z)) (/.f64 y (cbrt.f64 (*.f64 z z)))) |
(*.f64 (/.f64 -4 (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z))) |
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (*.f64 -4 (/.f64 y z)) 1) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16)) |
(fabs.f64 (*.f64 -4 (/.f64 y z))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z)))) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1)) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z)))) |
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1) |
(+.f64 (*.f64 -4 (/.f64 y z)) 0) |
(*.f64 -4 (/.f64 y z)) |
Compiled 6427 to 3262 computations (49.2% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 338 | 2 | 340 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 341 | 11 | 352 |
| Status | Error | Program |
|---|---|---|
| ✓ | 72.28% | (/.f64 (*.f64 y -4) z) |
| ▶ | 67.38% | (/.f64 4 (/.f64 z x)) |
| 0.28% | (-.f64 (/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) 2) | |
| ▶ | 0.22% | (-.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) |
| ▶ | 27.1% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 30.89% | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ✓ | 67.25% | (*.f64 (/.f64 x z) 4) |
| ▶ | 67.34% | (*.f64 (/.f64 4 z) x) |
| ✓ | 72.38% | (*.f64 (/.f64 -4 z) y) |
| ▶ | 41.93% | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 57.03% | -2 |
Compiled 162 to 124 computations (23.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (-.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) |
| ✓ | 0.39% | (*.f64 (-.f64 x y) (/.f64 4 z)) |
Compiled 30 to 16 computations (46.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 0.0ms | y | @ | -inf | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 1× | batch-egg-rewrite |
| 830× | distribute-rgt-in |
| 802× | associate-/r* |
| 786× | distribute-lft-in |
| 738× | swap-sqr |
| 508× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 252 | 40 |
| 2 | 3354 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) |
| Outputs |
|---|
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(fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 z) (-.f64 x y) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) -2))))) |
| 1× | egg-herbie |
| 808× | associate-/l* |
| 764× | +-commutative |
| 720× | times-frac |
| 714× | associate-/r* |
| 674× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 575 | 12856 |
| 1 | 1685 | 11146 |
| 2 | 7846 | 11146 |
| 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 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 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 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 4 z))) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 4 z))) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 4 z))) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 (/.f64 4 z) x)) |
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 y) (/.f64 4 z))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 x (/.f64 4 z))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 4 z) x)) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y)))) |
(+.f64 (*.f64 1 (*.f64 x (/.f64 4 z))) (*.f64 1 (*.f64 (neg.f64 y) (/.f64 4 z)))) |
(+.f64 (*.f64 (*.f64 (/.f64 4 z) x) 1) (*.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) 1)) |
(+.f64 (*.f64 (*.f64 x (/.f64 4 z)) 1) (*.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1) |
(/.f64 (-.f64 x y) (*.f64 z 1/4)) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(/.f64 4 (/.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 4 (/.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) |
(/.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(/.f64 1 (*.f64 (*.f64 z 1/4) (/.f64 1 (-.f64 x y)))) |
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (*.f64 z 1/4) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) 4))) |
(/.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (*.f64 z 1/4) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 z (*.f64 (cbrt.f64 (-.f64 x y)) 4))) |
(/.f64 (*.f64 (-.f64 x y) 4) z) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z 1/4) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z 1/4) (/.f64 1 (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) z) 4)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 x y) (/.f64 4 z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) 1)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) (neg.f64 z)) -4)) |
(/.f64 (+.f64 x y) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 x y)) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 z 1/4) (/.f64 1 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) z) 4)) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 4 z))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z 1/4)) 1)) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z)) -4)) |
(/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 x y))) |
(/.f64 -4 (/.f64 (neg.f64 z) (-.f64 x y))) |
(/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 -4 (/.f64 (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) 4)) (/.f64 z (sqrt.f64 (*.f64 (-.f64 x y) 4)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 x y)) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 x y) 4)) (cbrt.f64 (*.f64 (-.f64 x y) 4))) (/.f64 z (cbrt.f64 (*.f64 (-.f64 x y) 4)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 z 1/4) (+.f64 x y)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y 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 x y)))) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 3) 512) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) (+.f64 64 (*.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 8))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 3) 512) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (-.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) (+.f64 64 (*.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 8))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) 3) 64) (*.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) (*.f64 (-.f64 x y) (/.f64 4 z))) (+.f64 16 (*.f64 4 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)) 4) (neg.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) 8) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) -4) 1) (fma.f64 (-.f64 x y) (/.f64 4 z) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) -4) (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2))) (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) -4) (*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2)) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2)))) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) 1) (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))))) |
(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 3) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) -4) (neg.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) 2)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)))))) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(fma.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) -2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) -2) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(fma.f64 -4 (/.f64 y z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 x z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 -4 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
-2 |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
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(/.f64 (+.f64 8 (neg.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (+.f64 4 (*.f64 (-.f64 x y) (*.f64 (/.f64 4 z) 2)))))) |
(/.f64 (-.f64 8 (*.f64 64 (pow.f64 (/.f64 (-.f64 x y) z) 3))) (-.f64 (neg.f64 (fma.f64 (-.f64 x y) (/.f64 8 z) 4)) (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2) 2)) |
(fabs.f64 (fma.f64 4 (/.f64 (-.f64 x y) z) -2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (-.f64 x y) (/.f64 4 z) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (/.f64 4 z) (-.f64 x y) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) -2) |
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.34% | (*.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 | x | @ | -inf | (*.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 | 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))))))) |
| 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.96% | (/.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 | z | @ | -inf | (/.f64 4 (/.f64 z x)) |
| 0.0ms | x | @ | 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))))))) |
| 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.39% | (*.f64 (-.f64 x y) (/.f64 4 z)) |
Compiled 20 to 10 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 0.04% | (*.f64 4 (/.f64 x z)) |
Compiled 22 to 12 computations (45.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| 0.0ms | x | @ | -inf | (*.f64 4 (/.f64 x z)) |
| 0.0ms | x | @ | 0 | (*.f64 4 (/.f64 x z)) |
| 1× | batch-egg-rewrite |
| 1216× | associate-*r/ |
| 918× | associate-*l/ |
| 906× | associate-/r* |
| 884× | *-commutative |
| 638× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 201 | 28 |
| 2 | 2558 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 x z)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
| Outputs |
|---|
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z)))))))) |
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| 1× | egg-herbie |
| 1878× | distribute-lft-in |
| 1850× | distribute-rgt-in |
| 896× | associate-/l* |
| 500× | associate-/l/ |
| 446× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 7140 |
| 1 | 1194 | 6784 |
| 2 | 4886 | 6784 |
| 1× | node limit |
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 4 (/.f64 x z)) |
-2 |
-2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1) |
(/.f64 4 (/.f64 z x)) |
(/.f64 x (/.f64 z 4)) |
(/.f64 (*.f64 4 (/.f64 x z)) 1) |
(/.f64 1 (/.f64 (/.f64 z x) 4)) |
(/.f64 (*.f64 4 x) z) |
(/.f64 (*.f64 4 x) (/.f64 z 1)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) 4)) |
(/.f64 (sqrt.f64 (*.f64 4 x)) (/.f64 z (sqrt.f64 (*.f64 4 x)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 x)) (cbrt.f64 (*.f64 4 x))) (/.f64 z (cbrt.f64 (*.f64 4 x)))) |
(/.f64 (*.f64 4 (sqrt.f64 x)) (/.f64 z (sqrt.f64 x))) |
(/.f64 (*.f64 4 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x))) |
(/.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 z x))) |
(/.f64 (/.f64 4 z) (/.f64 1 x)) |
(/.f64 (*.f64 x -4) (neg.f64 z)) |
(/.f64 (/.f64 x 1/4) z) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 -4 (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 4 (/.f64 x 1)) z) |
(/.f64 (*.f64 4 (/.f64 x (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 4 (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (*.f64 1 (/.f64 x 1/4)) z) |
(/.f64 (*.f64 1 (/.f64 4 (/.f64 (sqrt.f64 z) x))) (sqrt.f64 z)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (*.f64 4 x))) (sqrt.f64 z)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (cbrt.f64 (*.f64 4 x))) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 x) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 x) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 x) -1) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) 1) (sqrt.f64 (/.f64 z x))) |
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)) (sqrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) 1) (cbrt.f64 (/.f64 z x))) |
(/.f64 (*.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 x)) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) x) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) x) (cbrt.f64 z)) |
(/.f64 (*.f64 (/.f64 x 1) 4) z) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 x -4) 1) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 x 1/4) 1) z) |
(/.f64 (*.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) 1) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (*.f64 1 (*.f64 4 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (/.f64 z x))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 4 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 4 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 4 x)) (*.f64 2 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 z)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 x)) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))) (cbrt.f64 z)) |
(/.f64 (*.f64 4 (/.f64 x (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (*.f64 4 x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (/.f64 z x)))) (cbrt.f64 (/.f64 z x))) |
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 x))) (/.f64 z (sqrt.f64 x))) |
(/.f64 (/.f64 4 (/.f64 1 (cbrt.f64 (*.f64 x x)))) (/.f64 z (cbrt.f64 x))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) x)) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 x))) (/.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 x x)))) (/.f64 (sqrt.f64 z) (cbrt.f64 x))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) x)) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 z) (sqrt.f64 x))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (*.f64 x x)))) (/.f64 (cbrt.f64 z) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 x -4) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 x -4) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 x -4) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 x -4) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 x -4) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 x -4) -1) z) |
(/.f64 (/.f64 (*.f64 x -4) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 x -4) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 x 1/4) 1) z) |
(/.f64 (/.f64 (/.f64 x 1/4) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) 1) (sqrt.f64 z)) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 x) (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 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(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 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 1/3) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 z)) 4)) |
(neg.f64 (*.f64 4 (/.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (*.f64 4 x) (neg.f64 z))) |
(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 (*.f64 (pow.f64 (/.f64 x z) 3) 64)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z)))) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
(+.f64 (*.f64 4 (/.f64 x z)) -2) |
(+.f64 -2 (*.f64 4 (/.f64 x z))) |
(*.f64 (fma.f64 4 (/.f64 x z) -2) 1) |
(*.f64 1 (fma.f64 4 (/.f64 x z) -2)) |
(*.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) |
(*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) |
(*.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (/.f64 1 (fma.f64 4 (/.f64 x z) 2))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(*.f64 (/.f64 1 (fma.f64 4 (/.f64 x z) 2)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) |
(*.f64 (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (fma.f64 4 (/.f64 x z) -2)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (+.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64))) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (/.f64 -8 (/.f64 z x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (-.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) (*.f64 (+.f64 4 (*.f64 (/.f64 x z) 8)) (+.f64 4 (*.f64 (/.f64 x z) 8))))) (-.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) 3) (pow.f64 (+.f64 4 (*.f64 (/.f64 x z) 8)) 3))) (+.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) (*.f64 (+.f64 4 (*.f64 (/.f64 x z) 8)) (-.f64 (+.f64 4 (*.f64 (/.f64 x z) 8)) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)))) (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))))) |
(/.f64 1 (/.f64 1 (fma.f64 4 (/.f64 x z) -2))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (/.f64 -8 (/.f64 z x)))) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8))) |
(/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (/.f64 -8 (/.f64 z x))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (/.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (/.f64 -8 (/.f64 z x)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (/.f64 (fma.f64 4 (/.f64 x z) 2) (sqrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8))) (/.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8))) (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (/.f64 -8 (/.f64 z x)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4))) (/.f64 (fma.f64 4 (/.f64 x z) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) 16) (*.f64 (fma.f64 4 (/.f64 x z) 2) (+.f64 4 (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) |
(/.f64 (-.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) 64) (*.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))) (+.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64)))) |
(/.f64 (-.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) 64) (*.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (/.f64 -8 (/.f64 z x)))) (+.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) 3) 64) (*.f64 (fma.f64 4 (/.f64 x z) 2) (+.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) (+.f64 16 (*.f64 (pow.f64 (/.f64 x z) 2) 64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 3) 512) (*.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))) (+.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) (+.f64 64 (*.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 3) 512) (*.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (/.f64 -8 (/.f64 z x)))) (+.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) (+.f64 64 (*.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) 4) (neg.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (neg.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4))) (sqrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4))) (cbrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) 4) 1) (neg.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) 1) (neg.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) 16) (/.f64 1 (fma.f64 4 (/.f64 x z) 2))) (+.f64 4 (pow.f64 (*.f64 4 (/.f64 x z)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) 3) 64) (/.f64 1 (fma.f64 4 (/.f64 x z) 2))) (+.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) (+.f64 16 (*.f64 (pow.f64 (/.f64 x z) 2) 64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) 64) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (+.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 3) 512) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (+.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) (+.f64 64 (*.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) 1) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (sqrt.f64 (fma.f64 4 (/.f64 x z) 2))) (sqrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) 2)))) (cbrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) 1) (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(pow.f64 (fma.f64 4 (/.f64 x z) -2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 3) |
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (neg.f64 (fma.f64 4 (/.f64 x z) 2)))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (neg.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))))) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 2)) |
(log.f64 (exp.f64 (fma.f64 4 (/.f64 x z) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 x z) -2)))) |
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) -2))) |
(exp.f64 (log.f64 (fma.f64 4 (/.f64 x z) -2))) |
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x z) -2))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 x z) 4 -2) |
(fma.f64 1 (*.f64 4 (/.f64 x z)) -2) |
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) -2) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (cbrt.f64 (*.f64 4 (/.f64 x z))) -2) |
| Outputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
-2 |
-2 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 x (/.f64 z 4)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 4 (/.f64 x z)) 1) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 1 (/.f64 (/.f64 z x) 4)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 4 x) z) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 4 x) (/.f64 z 1)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) 4)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (sqrt.f64 (*.f64 4 x)) (/.f64 z (sqrt.f64 (*.f64 4 x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 4 x)) z) (sqrt.f64 (*.f64 4 x))) |
(*.f64 (sqrt.f64 (*.f64 4 x)) (/.f64 (sqrt.f64 (*.f64 4 x)) z)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 x)) (cbrt.f64 (*.f64 4 x))) (/.f64 z (cbrt.f64 (*.f64 4 x)))) |
(/.f64 (cbrt.f64 (*.f64 4 x)) (/.f64 (/.f64 z (cbrt.f64 (*.f64 4 x))) (cbrt.f64 (*.f64 4 x)))) |
(/.f64 (*.f64 4 (sqrt.f64 x)) (/.f64 z (sqrt.f64 x))) |
(/.f64 4 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 4 (/.f64 z (sqrt.f64 x)))) |
(/.f64 (*.f64 4 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x))) |
(/.f64 4 (/.f64 (/.f64 z (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 z 4))) |
(/.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 z x))) |
(/.f64 4 (/.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))) |
(*.f64 (/.f64 4 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 x z))) |
(/.f64 (/.f64 4 z) (/.f64 1 x)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 x -4) (neg.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 x 1/4) z) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 -4 (/.f64 (neg.f64 z) x)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 4 (/.f64 x 1)) z) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 4 (/.f64 x (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (*.f64 4 (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 1 (/.f64 x 1/4)) z) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 1 (/.f64 4 (/.f64 (sqrt.f64 z) x))) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (*.f64 4 x))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 4 x)))) |
(/.f64 2 (/.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 4 x))) (sqrt.f64 (/.f64 x z)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (cbrt.f64 (*.f64 4 x))) (cbrt.f64 z)) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 4 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 x)) (cbrt.f64 z)) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2))) |
(/.f64 (*.f64 (*.f64 4 x) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 4 x) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (*.f64 4 x) -1) (neg.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) 1) (sqrt.f64 (/.f64 z x))) |
(/.f64 4 (/.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))) |
(*.f64 (/.f64 4 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 x z))) |
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)) (sqrt.f64 z)) |
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 z) (*.f64 4 (sqrt.f64 (/.f64 x z))))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 4 (sqrt.f64 (/.f64 x z)))) |
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) 1) (cbrt.f64 (/.f64 z x))) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 z x))) |
(/.f64 4 (/.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) |
(/.f64 (*.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 x)) (cbrt.f64 z)) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 x))) |
(/.f64 4 (/.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) |
(/.f64 (*.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 x)))) |
(/.f64 4 (/.f64 (/.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) |
(/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) x) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) x) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (/.f64 x 1) 4) z) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (*.f64 x -4) 1) (neg.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (/.f64 x 1/4) 1) z) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 (/.f64 4 (/.f64 (sqrt.f64 z) x)) 1) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (*.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (*.f64 1 (*.f64 4 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (/.f64 z x))) |
(/.f64 4 (/.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))) |
(*.f64 (/.f64 4 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 x z))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 4 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 z)) |
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 z) (*.f64 4 (sqrt.f64 (/.f64 x z))))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 4 (sqrt.f64 (/.f64 x z)))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 4 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 4 x)) (*.f64 2 (sqrt.f64 (/.f64 x z)))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 4 x)))) |
(/.f64 2 (/.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 4 x))) (sqrt.f64 (/.f64 x z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 x)) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))) (cbrt.f64 z)) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 4 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 x)) (cbrt.f64 z)) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2))) |
(/.f64 (*.f64 4 (/.f64 x (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 (*.f64 4 x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (/.f64 z x)))) (cbrt.f64 (/.f64 z x))) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 x))) (/.f64 z (sqrt.f64 x))) |
(/.f64 4 (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 4 (/.f64 z (sqrt.f64 x)))) |
(/.f64 (/.f64 4 (/.f64 1 (cbrt.f64 (*.f64 x x)))) (/.f64 z (cbrt.f64 x))) |
(/.f64 4 (/.f64 (/.f64 z (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 z 4))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) x)) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 x))) (/.f64 (sqrt.f64 z) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 z)) (sqrt.f64 x)) |
(/.f64 4 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 x x)))) (/.f64 (sqrt.f64 z) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 z) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 4 (sqrt.f64 z))) (sqrt.f64 z))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) x)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 z) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (/.f64 4 (*.f64 (cbrt.f64 z) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 x))))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (*.f64 x x)))) (/.f64 (cbrt.f64 z) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 z) (cbrt.f64 x))) |
(/.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 x -4) 1) (neg.f64 z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(/.f64 (/.f64 (*.f64 x -4) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z)) x) |
(*.f64 x (/.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 x -4) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
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(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2) |
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(pow.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 1/3) |
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z))))) |
(/.f64 4 (/.f64 z x)) |
(*.f64 x (/.f64 4 z)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64)) |
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(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z)))) |
(/.f64 4 (/.f64 z x)) |
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(+.f64 (*.f64 4 (/.f64 x z)) -2) |
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(fma.f64 (/.f64 4 z) x -2) |
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(fma.f64 (/.f64 4 z) x -2) |
(*.f64 (fma.f64 4 (/.f64 x z) -2) 1) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
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(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (+.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64))) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (/.f64 -8 (/.f64 z x))))) |
(*.f64 (/.f64 (+.f64 -4 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 8)) (+.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2) (+.f64 4 (/.f64 -8 (/.f64 z x))))) |
(*.f64 (/.f64 (+.f64 -4 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (fma.f64 (pow.f64 (/.f64 x z) 3) 64 8)) (+.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2) (fma.f64 (/.f64 -8 z) x 4))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (-.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) (*.f64 (+.f64 4 (*.f64 (/.f64 x z) 8)) (+.f64 4 (*.f64 (/.f64 x z) 8))))) (-.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (-.f64 (*.f64 (/.f64 x z) (*.f64 (pow.f64 (/.f64 x z) 3) 256)) (*.f64 (+.f64 4 (/.f64 (*.f64 x 8) z)) (+.f64 4 (/.f64 (*.f64 x 8) z))))) (-.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2) (+.f64 4 (/.f64 (*.f64 x 8) z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (-.f64 (*.f64 (pow.f64 (/.f64 x z) 4) 256) (*.f64 (fma.f64 (/.f64 x z) 8 4) (fma.f64 (/.f64 x z) 8 4)))) (-.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2) (fma.f64 (/.f64 x z) 8 4))) |
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(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 (pow.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2) 3) (pow.f64 (+.f64 4 (/.f64 (*.f64 x 8) z)) 3))) (fma.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256 (*.f64 (+.f64 4 (/.f64 (*.f64 x 8) z)) (+.f64 4 (-.f64 (/.f64 (*.f64 x 8) z) (pow.f64 (/.f64 4 (/.f64 z x)) 2)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2) 3) (pow.f64 (fma.f64 (/.f64 x z) 8 4) 3))) (fma.f64 (fma.f64 (/.f64 x z) 8 4) (-.f64 (fma.f64 (/.f64 x z) 8 4) (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (*.f64 (pow.f64 (/.f64 x z) 4) 256))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2))))) |
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(*.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)))) (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
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(fma.f64 (/.f64 4 z) x -2) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 4 (+.f64 (/.f64 8 (/.f64 z x)) (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 4 (+.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2) (/.f64 8 (/.f64 z x))))) |
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(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) 4) 256 -16) (fma.f64 4 (/.f64 x z) 2)) (+.f64 4 (pow.f64 (*.f64 x (/.f64 4 z)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) 3) 64) (/.f64 1 (fma.f64 4 (/.f64 x z) 2))) (+.f64 (*.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256) (+.f64 16 (*.f64 (pow.f64 (/.f64 x z) 2) 64)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2) 3) -64) (fma.f64 4 (/.f64 x z) 2)) (fma.f64 (*.f64 (/.f64 x z) (pow.f64 (/.f64 x z) 3)) 256 (+.f64 16 (*.f64 64 (pow.f64 (/.f64 x z) 2))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2) 3) -64) (fma.f64 4 (/.f64 x z) 2)) (fma.f64 (pow.f64 (/.f64 x z) 4) 256 (fma.f64 64 (pow.f64 (/.f64 x z) 2) 16))) |
(/.f64 (*.f64 (-.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) 64) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (+.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64))) |
(/.f64 (/.f64 (fma.f64 4096 (pow.f64 (/.f64 x z) 6) -64) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (/.f64 4 (/.f64 z x)) 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 8)) |
(/.f64 (/.f64 (fma.f64 4096 (pow.f64 (/.f64 x z) 6) -64) (fma.f64 (pow.f64 (/.f64 x z) 3) 64 8)) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 3) 512) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (+.f64 (*.f64 4096 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3))) (+.f64 64 (*.f64 8 (*.f64 (pow.f64 (/.f64 x z) 3) 64))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 3) -512) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (/.f64 4 (/.f64 z x)) 2)))) (fma.f64 4096 (pow.f64 (/.f64 x z) 6) (+.f64 64 (*.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) 8)))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x z) 3) 3) 262144 -512) (*.f64 (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 512) (fma.f64 4096 (pow.f64 (/.f64 x z) 6) 64)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) 1) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (*.f64 (+.f64 -4 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) 1) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (sqrt.f64 (fma.f64 4 (/.f64 x z) 2))) (sqrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (+.f64 -4 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) 1) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) 2)))) (cbrt.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (*.f64 (+.f64 -4 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) 1) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (fma.f64 4 (/.f64 x z) 2)) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) 1) (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) 1) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (/.f64 4 (/.f64 z x)) 2)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) 1) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (/.f64 4 (/.f64 z x)) 2)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) 1) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (/.f64 4 (/.f64 z x)) 2)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8) (+.f64 4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
(pow.f64 (fma.f64 4 (/.f64 x z) -2) 1) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 3) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3) 1/3) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (neg.f64 (fma.f64 4 (/.f64 x z) 2)))) |
(/.f64 (+.f64 4 (neg.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2))) (neg.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (-.f64 4 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (neg.f64 (fma.f64 4 (/.f64 x z) 2))) |
(/.f64 (-.f64 4 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (-.f64 -2 (*.f64 x (/.f64 4 z)))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (neg.f64 (+.f64 4 (+.f64 (*.f64 (/.f64 x z) 8) (pow.f64 (*.f64 4 (/.f64 x z)) 2)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8)) (+.f64 -4 (neg.f64 (fma.f64 (/.f64 x z) 8 (pow.f64 (/.f64 4 (/.f64 z x)) 2))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 -8)) (-.f64 -4 (fma.f64 (/.f64 x z) 8 (pow.f64 (*.f64 x (/.f64 4 z)) 2)))) |
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 2)) |
(fabs.f64 (fma.f64 (/.f64 4 z) x -2)) |
(log.f64 (exp.f64 (fma.f64 4 (/.f64 x z) -2))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 x z) -2)))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3)) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) -2))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(exp.f64 (log.f64 (fma.f64 4 (/.f64 x z) -2))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x z) -2))) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 (/.f64 x z) 4 -2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 1 (*.f64 4 (/.f64 x z)) -2) |
(fma.f64 4 (/.f64 x z) -2) |
(fma.f64 (/.f64 4 z) x -2) |
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) -2) |
(+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2) -2) |
(+.f64 -2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2)) (cbrt.f64 (*.f64 4 (/.f64 x z))) -2) |
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z x)) 2)) (cbrt.f64 (/.f64 4 (/.f64 z x))) -2) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2)) (cbrt.f64 (*.f64 x (/.f64 4 z))) -2) |
Compiled 16957 to 9290 computations (45.2% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 825 | 1 | 826 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 826 | 11 | 837 |
| Status | Error | Program |
|---|---|---|
| ▶ | 41.99% | (/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
| ✓ | 72.28% | (/.f64 (*.f64 y -4) z) |
| ✓ | 67.38% | (/.f64 4 (/.f64 z x)) |
| ✓ | 0.22% | (-.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) |
| ✓ | 27.1% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 30.89% | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ✓ | 67.25% | (*.f64 (/.f64 x z) 4) |
| ✓ | 67.34% | (*.f64 (/.f64 4 z) x) |
| ✓ | 72.38% | (*.f64 (/.f64 -4 z) y) |
| ✓ | 41.93% | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 57.03% | -2 |
Compiled 98 to 75 computations (23.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (/.f64 1 (-.f64 x y)) |
| ✓ | 0.49% | (/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
Compiled 28 to 15 computations (46.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 x y)) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 x y)) |
| 0.0ms | y | @ | 0 | (/.f64 1 (-.f64 x y)) |
| 0.0ms | y | @ | inf | (/.f64 1 (-.f64 x y)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1788× | associate-/r* |
| 1224× | associate-/l* |
| 890× | associate-/r/ |
| 616× | distribute-lft-in |
| 612× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 247 | 32 |
| 2 | 3435 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(/.f64 1 (-.f64 x y)) |
| Outputs |
|---|
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(/.f64 1 (-.f64 x y)))))))) |
| 1× | egg-herbie |
| 1378× | associate-/l/ |
| 1076× | associate-/r/ |
| 588× | +-commutative |
| 586× | associate-*r* |
| 546× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 5334 |
| 1 | 1185 | 5134 |
| 2 | 4909 | 5128 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) 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 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 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (*.f64 (neg.f64 y) 1))) |
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 (/.f64 4 z) x)) |
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 y) (/.f64 4 z))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 4 z)) (*.f64 x (/.f64 4 z))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 4 z) x)) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y)))) |
(+.f64 (*.f64 1 (*.f64 x (/.f64 4 z))) (*.f64 1 (*.f64 (neg.f64 y) (/.f64 4 z)))) |
(+.f64 (*.f64 (/.f64 -4 z) (neg.f64 x)) (*.f64 (/.f64 -4 z) (neg.f64 (neg.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 z (-.f64 x y))))) 1) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 4 z) (neg.f64 (neg.f64 (-.f64 x y)))) |
(*.f64 1 (/.f64 4 (/.f64 z (-.f64 x y)))) |
(*.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 1) |
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) |
(*.f64 (/.f64 2 (sqrt.f64 z)) (*.f64 (/.f64 2 (sqrt.f64 z)) (-.f64 x y))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 4 (/.f64 z (-.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 z (-.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 z (-.f64 x y)))) 2) (cbrt.f64 (/.f64 4 (/.f64 z (-.f64 x y))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 z)) 2) (*.f64 (cbrt.f64 (/.f64 4 z)) (-.f64 x y))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -1 (*.f64 (/.f64 -4 z) (-.f64 x y))) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -4 z)) |
(*.f64 (/.f64 -4 z) (neg.f64 (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y))) |
(*.f64 (*.f64 4 (-.f64 x y)) (/.f64 1 z)) |
(*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (*.f64 (/.f64 4 z) (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (-.f64 x y) z) 4) |
(*.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (*.f64 (/.f64 1 z) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (*.f64 (/.f64 1 z) (cbrt.f64 (-.f64 x y)))) |
(*.f64 (*.f64 (/.f64 2 (sqrt.f64 z)) (-.f64 x y)) (/.f64 2 (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 z)) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (*.f64 (/.f64 2 (sqrt.f64 z)) (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 z)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 4 z)) 1) (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 z)) 2) (pow.f64 (-.f64 x y) -1/2)) (/.f64 (cbrt.f64 (/.f64 4 z)) (pow.f64 (-.f64 x y) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 z)) 2) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (cbrt.f64 (/.f64 4 (/.f64 z (-.f64 x y))))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 4 (-.f64 x y)))) (/.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y))) 1) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 (/.f64 4 z) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) 1) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 z z))) (/.f64 4 (cbrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 z)) 2) (/.f64 1 (-.f64 x y))) (cbrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 4 z)) 2))) (cbrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) -4) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 4 z) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) -1) (cbrt.f64 (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) |
(pow.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 1) |
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 z (-.f64 x y)))) 3) |
(pow.f64 (pow.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 3) 1/3) |
(pow.f64 (*.f64 1/4 (/.f64 z (-.f64 x y))) -1) |
(neg.f64 (*.f64 (/.f64 -4 z) (-.f64 x y))) |
(sqrt.f64 (pow.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 z (-.f64 x y)))))) |
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 z) 3) (/.f64 1 (pow.f64 (-.f64 x y) 3)))) |
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 z (-.f64 x y))))) |
(exp.f64 (log.f64 (/.f64 4 (/.f64 z (-.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 z (-.f64 x y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 z (-.f64 x y))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) y)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) y) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) x)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) 1) |
(*.f64 1 (/.f64 1 (-.f64 x y))) |
(*.f64 (/.f64 1 (-.f64 x y)) 1) |
(*.f64 (pow.f64 (-.f64 x y) -1/2) (pow.f64 (-.f64 x y) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (cbrt.f64 (/.f64 1 (-.f64 x y)))) |
(*.f64 -1 (/.f64 -1 (-.f64 x y))) |
(*.f64 (/.f64 -1 (-.f64 x y)) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 1 (-.f64 x y)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) 1) (cbrt.f64 (/.f64 1 (-.f64 x y)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) -1) (pow.f64 (sqrt.f64 (-.f64 x y)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x y)) -1)) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y y) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y))))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 y 3) (pow.f64 y 3)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 y 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) -1/2) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(pow.f64 (/.f64 1 (-.f64 x y)) 1) |
(pow.f64 (pow.f64 (-.f64 x y) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (-.f64 x y) 3)) 1/3) |
(pow.f64 (-.f64 x y) -1) |
(sqrt.f64 (pow.f64 (-.f64 x y) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y)))) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(*.f64 -4 (/.f64 y z)) |
(*.f64 y (/.f64 -4 z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (/.f64 -4 z) (-.f64 y x)) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 1 y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 1 y)) |
(fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1 y)) |
(-.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(-.f64 (fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
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(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) 3) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(pow.f64 (/.f64 1 (pow.f64 (-.f64 x y) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x y) 3))) |
(pow.f64 (-.f64 x y) -1) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(sqrt.f64 (pow.f64 (-.f64 x y) -2)) |
(fabs.f64 (/.f64 -1 (-.f64 y x))) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 x y)))) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y))))) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(exp.f64 (neg.f64 (log.f64 (-.f64 x y)))) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1)) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1)) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y)))) |
(/.f64 1 (-.f64 x y)) |
(/.f64 -1 (-.f64 y x)) |
Compiled 3840 to 1962 computations (48.9% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 207 | 0 | 207 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 207 | 11 | 218 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.99% | (/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
| ✓ | 72.28% | (/.f64 (*.f64 y -4) z) |
| ✓ | 67.38% | (/.f64 4 (/.f64 z x)) |
| ✓ | 0.22% | (-.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) |
| ✓ | 27.1% | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 30.89% | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ✓ | 67.25% | (*.f64 (/.f64 x z) 4) |
| ✓ | 67.34% | (*.f64 (/.f64 4 z) x) |
| ✓ | 72.38% | (*.f64 (/.f64 -4 z) y) |
| ✓ | 41.93% | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 57.03% | -2 |
Compiled 98 to 75 computations (23.5% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(-.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) |
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(-.f64 (/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) 2) |
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (*.f64 (/.f64 z (-.f64 (*.f64 x x) (*.f64 (+.f64 y (*.f64 z 1/2)) (+.f64 y (*.f64 z 1/2))))) (+.f64 (+.f64 x y) (*.f64 z 1/2)))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
5 calls:
| 10.0ms | z |
| 10.0ms | (-.f64 x y) |
| 10.0ms | x |
| 9.0ms | y |
| 6.0ms | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Error | Segments | Branch |
|---|---|---|
| 0.02% | 1 | x |
| 0.02% | 1 | y |
| 0.02% | 1 | z |
| 0.02% | 1 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.02% | 1 | (-.f64 x y) |
Compiled 188 to 115 computations (38.8% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
| Outputs |
|---|
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
4 calls:
| 27.0ms | y |
| 27.0ms | x |
| 24.0ms | z |
| 22.0ms | (-.f64 x y) |
| Error | Segments | Branch |
|---|---|---|
| 11.28% | 5 | x |
| 8.08% | 5 | y |
| 13.93% | 4 | z |
| 15.01% | 3 | (-.f64 x y) |
Compiled 68 to 45 computations (33.8% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 19369.697966328247 | 1.5136618460405656e+25 |
| 21.0ms | -9.524543914570999e+33 | -2.791496201538967e+23 |
| 15.0ms | -3.527765365132769e+125 | -9.467049929761836e+122 |
| 9.0ms | -1.363296803401631e+168 | -7.318299551054958e+167 |
| 56.0ms | 528× | body | 256 | valid |
| 2.0ms | 23× | body | 256 | infinite |
Compiled 746 to 597 computations (20% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| Outputs |
|---|
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
4 calls:
| 69.0ms | (-.f64 x y) |
| 57.0ms | x |
| 43.0ms | y |
| 30.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 14.65% | 3 | x |
| 25.61% | 5 | y |
| 14.56% | 5 | z |
| 18.07% | 3 | (-.f64 x y) |
Compiled 61 to 41 computations (32.8% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 7.254864410586337e+40 | 3.794667331015502e+51 |
| 9.0ms | -9.325554196839325e+23 | -4.345250694143076e+23 |
| 20.0ms | -5.800328966953747e+125 | -8.43202073193062e+113 |
| 12.0ms | -3.5197425491935734e+177 | -9.878710616679563e+175 |
| 89.0ms | 512× | body | 256 | valid |
Compiled 724 to 559 computations (22.8% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (/.f64 4 z)) |
-2 |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
-2 |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
-2 |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
4 calls:
| 62.0ms | z |
| 37.0ms | (-.f64 x y) |
| 28.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.81% | 3 | x |
| 28.36% | 5 | y |
| 20.36% | 5 | z |
| 19.22% | 7 | (-.f64 x y) |
Compiled 54 to 36 computations (33.3% saved)
| 6× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2138801975589775e+104 | 3.8338275123734266e+111 |
| 0.0ms | 1.2203061286124736e+74 | 1.0688606921801944e+75 |
| 0.0ms | 8.168290528147326e+57 | 8.437715901566679e+57 |
| 0.0ms | 1.1861146971151278e-106 | 3.321572571769298e-104 |
| 0.0ms | 1.358598709543803e-123 | 1.0967941442176555e-120 |
| 0.0ms | -3.322666865383965e-22 | -5.569138394382262e-25 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
| Outputs |
|---|
-2 |
(*.f64 (/.f64 x z) 4) |
-2 |
(/.f64 (*.f64 y -4) z) |
(*.f64 (/.f64 x z) 4) |
-2 |
3 calls:
| 43.0ms | y |
| 25.0ms | z |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.22% | 5 | x |
| 37.74% | 5 | y |
| 36.56% | 6 | z |
Compiled 41 to 28 computations (31.7% saved)
| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.995432950556862e+97 | 3.499442161104339e+106 |
| 16.0ms | -5.077910563896708e-174 | -2.3217803828648944e-174 |
| 14.0ms | -2554202846800.439 | -1391603168.2048695 |
| 18.0ms | -5.800328966953747e+125 | -8.43202073193062e+113 |
| 12.0ms | -3.5197425491935734e+177 | -9.878710616679563e+175 |
| 62.0ms | 624× | body | 256 | valid |
| 7.0ms | 55× | body | 256 | infinite |
Compiled 586 to 493 computations (15.9% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
(*.f64 (/.f64 x z) 4) |
(/.f64 4 (/.f64 z x)) |
| Outputs |
|---|
-2 |
(*.f64 (/.f64 x z) 4) |
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 x z) 4) |
-2 |
3 calls:
| 25.0ms | z |
| 21.0ms | y |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.24% | 5 | x |
| 37.83% | 5 | y |
| 36.59% | 6 | z |
Compiled 36 to 25 computations (30.6% saved)
| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.995432950556862e+97 | 3.499442161104339e+106 |
| 16.0ms | -5.077910563896708e-174 | -2.3217803828648944e-174 |
| 17.0ms | -2554202846800.439 | -1391603168.2048695 |
| 18.0ms | -5.800328966953747e+125 | -8.43202073193062e+113 |
| 12.0ms | -3.5197425491935734e+177 | -9.878710616679563e+175 |
| 65.0ms | 624× | body | 256 | valid |
| 6.0ms | 57× | body | 256 | infinite |
Compiled 586 to 493 computations (15.9% saved)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
| Outputs |
|---|
-2 |
(*.f64 (/.f64 4 z) x) |
-2 |
(*.f64 (/.f64 -4 z) y) |
(*.f64 (/.f64 4 z) x) |
-2 |
3 calls:
| 21.0ms | z |
| 19.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.31% | 5 | x |
| 37.83% | 5 | y |
| 36.67% | 6 | z |
Compiled 26 to 19 computations (26.9% saved)
| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.995432950556862e+97 | 3.499442161104339e+106 |
| 15.0ms | -5.077910563896708e-174 | -2.3217803828648944e-174 |
| 14.0ms | -2554202846800.439 | -1391603168.2048695 |
| 18.0ms | -5.800328966953747e+125 | -8.43202073193062e+113 |
| 12.0ms | -3.5197425491935734e+177 | -9.878710616679563e+175 |
| 61.0ms | 624× | body | 256 | valid |
| 6.0ms | 64× | body | 256 | infinite |
Compiled 586 to 493 computations (15.9% saved)
Total -35.7b remaining (-135.5%)
Threshold costs -35.7b (-135.5%)
| Inputs |
|---|
-2 |
(*.f64 (/.f64 -4 z) y) |
| Outputs |
|---|
(*.f64 (/.f64 -4 z) y) |
-2 |
(*.f64 (/.f64 -4 z) y) |
3 calls:
| 72.0ms | x |
| 10.0ms | z |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 57.03% | 1 | x |
| 41.23% | 3 | y |
| 46.75% | 3 | z |
Compiled 21 to 16 computations (23.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 82.0ms | 5.4528097379497304e+45 | 3.298164451423872e+64 |
| 13.0ms | -3.8338275123734266e+111 | -2.9578142471301362e+109 |
| 91.0ms | 272× | body | 256 | valid |
| 1.0ms | 11× | body | 256 | infinite |
Compiled 258 to 219 computations (15.1% saved)
| 1× | egg-herbie |
| 24× | not-or |
| 20× | not-not |
| 20× | if-if-or-not |
| 20× | if-not |
| 16× | *-commutative |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 721 |
| 1 | 136 | 709 |
| 2 | 150 | 691 |
| 3 | 164 | 683 |
| 4 | 176 | 677 |
| 5 | 190 | 673 |
| 6 | 198 | 673 |
| 7 | 204 | 673 |
| 8 | 206 | 673 |
| 9 | 207 | 673 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(if (<=.f64 y -759999999999999987443435877368215009954627471940994187680602915369958866339215332662987583354693792105166525090186766699624530567710075749075183872706561723640370429952) (-.f64 (*.f64 -4 (/.f64 y z)) 2) (if (<=.f64 y -324999999999999994370363188363352486942862807011018718973208832239779580650460505903700336389783285178839256062587672247402496) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -14500000000000000147589571805184) (-.f64 (*.f64 -4 (/.f64 y z)) 2) (if (<=.f64 y 160000000000000000000000) (-.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 (*.f64 -4 (/.f64 y z)) 2))))) |
(if (<=.f64 z -100000000000000000744898050207431989144199493858315387235964254131263985246781616026371987637390705840846560260278464628372543383280977318309056924111623883709653889736043921408) (-.f64 (*.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z -579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 z -499999999999999991611392) (-.f64 (*.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 74000000000000000071950135053494620520448) (*.f64 (-.f64 x y) (/.f64 4 z)) (-.f64 (*.f64 -4 (/.f64 y z)) 2))))) |
(if (<=.f64 (-.f64 x y) -4253529586511731/21267647932558653966460912964485513216) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 (-.f64 x y) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) -2 (if (<=.f64 (-.f64 x y) 8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 (-.f64 x y) 8200000000000000013148817247794919026587679925158503514112) -2 (if (<=.f64 (-.f64 x y) 199999999999999990329637623605584395770392181606026710334413639527300071424) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 (-.f64 x y) 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560) -2 (*.f64 (-.f64 x y) (/.f64 4 z)))))))) |
(if (<=.f64 z -100000000000000000744898050207431989144199493858315387235964254131263985246781616026371987637390705840846560260278464628372543383280977318309056924111623883709653889736043921408) -2 (if (<=.f64 z -579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336) (*.f64 (/.f64 x z) 4) (if (<=.f64 z -20000000000) -2 (if (<=.f64 z -5235222388384843/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (/.f64 (*.f64 y -4) z) (if (<=.f64 z 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592) (*.f64 (/.f64 x z) 4) -2))))) |
(if (<=.f64 z -100000000000000000744898050207431989144199493858315387235964254131263985246781616026371987637390705840846560260278464628372543383280977318309056924111623883709653889736043921408) -2 (if (<=.f64 z -579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336) (*.f64 (/.f64 x z) 4) (if (<=.f64 z -27000000000) -2 (if (<=.f64 z -3453019022126173/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (*.f64 (/.f64 -4 z) y) (if (<=.f64 z 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592) (*.f64 (/.f64 x z) 4) -2))))) |
(if (<=.f64 z -100000000000000000744898050207431989144199493858315387235964254131263985246781616026371987637390705840846560260278464628372543383280977318309056924111623883709653889736043921408) -2 (if (<=.f64 z -579999999999999986484646798520936901661260743407720258043487689917164981039284391042110347849422315511234613204959607532814336) (*.f64 (/.f64 4 z) x) (if (<=.f64 z -37000000000) -2 (if (<=.f64 z -2673305049388005/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (*.f64 (/.f64 -4 z) y) (if (<=.f64 z 1350000000000000062264949734916199852537409199426510027111022840390888180531062047726808437400048500736) (*.f64 (/.f64 4 z) x) -2))))) |
(if (<=.f64 y -64000000000000002175935469632180774076414382061625475053659565749624017390284853330735463448366940538963755008) (*.f64 (/.f64 -4 z) y) (if (<=.f64 y 32000000000000001851454718167263034476588118053601294021524717568) -2 (*.f64 (/.f64 -4 z) y))) |
-2 |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2) |
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(if (<=.f64 y -64000000000000002175935469632180774076414382061625475053659565749624017390284853330735463448366940538963755008) (*.f64 (/.f64 -4 z) y) (if (<=.f64 y 32000000000000001851454718167263034476588118053601294021524717568) -2 (*.f64 (/.f64 -4 z) y))) |
(if (or (<=.f64 y -64000000000000002175935469632180774076414382061625475053659565749624017390284853330735463448366940538963755008) (not (<=.f64 y 32000000000000001851454718167263034476588118053601294021524717568))) (*.f64 y (/.f64 -4 z)) -2) |
-2 |
Compiled 290 to 204 computations (29.7% 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 266 to 174 computations (34.6% saved)
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