Time bar (total: 6.9s)
| 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)
| 1.4s | 8256× | body | 256 | valid |
| 203.0ms | 1673× | body | 256 | infinite |
| 2× | egg-herbie |
| 1536× | fma-def |
| 962× | distribute-lft-out |
| 936× | times-frac |
| 768× | associate--r+ |
| 694× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 124 |
| 1 | 71 | 124 |
| 2 | 210 | 108 |
| 3 | 674 | 108 |
| 4 | 1789 | 108 |
| 5 | 5362 | 108 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z) |
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2))))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) |
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 y (+.f64 x (*.f64 z 1/2))))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (*.f64 z -1/2))) |
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z)) |
(*.f64 (-.f64 (fma.f64 z -1/2 y) x) (/.f64 4 z)) |
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x) |
(/.f64 4 (/.f64 x (-.f64 (-.f64 z y) (*.f64 x 1/2)))) |
(*.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (*.f64 x -1/2))) |
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x)) |
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x)) |
(*.f64 4 (/.f64 (-.f64 (fma.f64 x -1/2 z) y) x)) |
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y) |
(/.f64 4 (/.f64 y (-.f64 x (+.f64 z (*.f64 y 1/2))))) |
(*.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (*.f64 y -1/2))) |
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y)) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 1062× | associate-/l* |
| 916× | fma-def |
| 892× | associate-*l* |
| 866× | times-frac |
| 680× | associate-/r* |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 26 | 31 |
| 2 | 69 | 27 |
| 3 | 211 | 27 |
| 4 | 537 | 27 |
| 5 | 1515 | 21 |
| 6 | 6136 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Outputs |
|---|
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
Compiled 64 to 38 computations (40.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 3 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 4 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| ▶ | 0.0b | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| ▶ | 0.2b | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
Compiled 39 to 28 computations (28.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))) |
| ✓ | 0.2b | (/.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 | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))) |
| 1.0ms | y | @ | inf | (/.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)))) |
| 1.0ms | z | @ | inf | (/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))) |
| 1.0ms | x | @ | 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) (*.f64 (/.f64 4 z) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) (*.f64 z -1/2)) (*.f64 (/.f64 4 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (*.f64 z -1/2) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z -1/2) (/.f64 4 z)) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(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)) 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 (+.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 (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 (+.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 4 z) (+.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)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (neg.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) 1) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 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 (/.f64 4 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 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 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)) (*.f64 4 (cbrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 z) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (*.f64 4 (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (sqrt.f64 z)) (*.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))) 1) (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))) (sqrt.f64 z)) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)) (cbrt.f64 z)) (cbrt.f64 (+.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 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 4 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 z) (/.f64 1 (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 (/.f64 4 z) (/.f64 1 (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 (/.f64 4 z) -1) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (neg.f64 (neg.f64 z))) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z)))) (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (-.f64 x y) 2) (-.f64 (*.f64 1/4 (*.f64 z z)) (*.f64 (-.f64 x y) (*.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3)))) (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 (-.f64 x y) 2)) (*.f64 (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (pow.f64 (-.f64 x y) 2) 3) (pow.f64 (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 (-.f64 x y) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))) (*.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (+.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 (/.f64 z 4) (+.f64 (-.f64 x y) (*.f64 z -1/2))) -1)))) (#(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 (pow.f64 (exp.f64 (/.f64 4 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(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 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)))))))) |
((#(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)) |
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(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2))) (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) |
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (*.f64 1/8 (pow.f64 z 3))))) (neg.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 1) (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (*.f64 z -1/2)))) (-.f64 (-.f64 x y) (*.f64 z -1/2))) |
(*.f64 (/.f64 (/.f64 z 1) (-.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))) |
(*.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z -1/2) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 (*.f64 z -1/2) (*.f64 z -1/2))) (*.f64 (-.f64 x y) (*.f64 z -1/2)))) |
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (*.f64 z 1/2)) 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 y (*.f64 z 1/2)) (+.f64 y (*.f64 z 1/2))) (*.f64 x (+.f64 y (*.f64 z 1/2)))))) |
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (*.f64 1/4 (*.f64 z z))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2)))) |
(*.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))) |
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(*.f64 (/.f64 z (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (*.f64 -1/8 (pow.f64 z 3)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z (*.f64 1/2 (+.f64 (-.f64 x y) (*.f64 z 1/2))))))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z 1/2 y))) 2)) (cbrt.f64 (fma.f64 (pow.f64 z 3) -1/8 (pow.f64 (-.f64 x y) 3)))) (cbrt.f64 (fma.f64 z (*.f64 1/2 (fma.f64 z 1/2 (-.f64 x y))) (pow.f64 (-.f64 x y) 2)))) |
(pow.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))) |
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2) |
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) |
(/.f64 z (-.f64 x (fma.f64 z 1/2 y))) |
(pow.f64 (cbrt.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))) |
(pow.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) 1/3) |
(/.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 |
|---|---|---|
| ✓ | 0.0b | (/.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x y) z) |
Compiled 24 to 10 computations (58.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 (-.f64 x y) z) |
| 0.0ms | 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 |
| 2000× | add-sqr-sqrt |
| 1984× | *-un-lft-identity |
| 1860× | add-cube-cbrt |
| 1836× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 158 | 13 |
| 2 | 2346 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) z) |
| 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 (/.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)) (/.f64 1 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)) (/.f64 1 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 (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 (neg.f64 z)))))) (#(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 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))))) (#(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)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))))) (#(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 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))) (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 exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z))))))) |
| 1× | egg-herbie |
| 916× | associate-+l+ |
| 866× | *-commutative |
| 644× | associate-*r/ |
| 622× | distribute-lft-neg-out |
| 542× | distribute-rgt-neg-out |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 864 |
| 1 | 224 | 840 |
| 2 | 844 | 840 |
| 3 | 4390 | 840 |
| 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 x z) (neg.f64 (/.f64 y 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)) (/.f64 1 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)) (/.f64 1 z))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) 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 (neg.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z))) |
(*.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 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))) (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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y z)) |
(neg.f64 (/.f64 y z)) |
(/.f64 y (neg.f64 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)) |
(neg.f64 (/.f64 y z)) |
(/.f64 y (neg.f64 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)) |
(neg.f64 (/.f64 y z)) |
(/.f64 y (neg.f64 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 x z) (neg.f64 (/.f64 y 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)) (/.f64 1 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)) (/.f64 1 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 (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 (neg.f64 z))) |
(/.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 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z))) |
(/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 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)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z))) |
(/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (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 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 z z)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (/.f64 (-.f64 x y) z)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z))) (cbrt.f64 (*.f64 z z))) |
(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) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1)) |
(/.f64 (-.f64 x y) z) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z))) |
(/.f64 (-.f64 x y) z) |
Compiled 8467 to 4973 computations (41.3% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 9 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 399 | 9 | 408 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.5b | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| ▶ | 44.6b | (/.f64 (*.f64 y -4) z) |
| 23.7b | (/.f64 4 (/.f64 z (-.f64 x y))) | |
| 41.9b | (/.f64 4 (/.f64 z x)) | |
| ▶ | 0.0b | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ▶ | 23.7b | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| ▶ | 41.8b | (*.f64 4 (/.f64 x z)) |
| 21.5b | (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) | |
| 39.0b | -2 |
Compiled 156 to 116 computations (25.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0b | (/.f64 (-.f64 x y) z) |
Compiled 32 to 13 computations (59.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 0.0ms | x | @ | 0 | (*.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 | @ | inf | (*.f64 4 (/.f64 (-.f64 x y) z)) |
| 1× | batch-egg-rewrite |
| 1418× | associate-*l/ |
| 1414× | associate-/r* |
| 1160× | associate-/l* |
| 1016× | *-commutative |
| 492× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 202 | 19 |
| 2 | 2839 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 x y) z)) |
| Outputs |
|---|
((#(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 (/.f64 z (-.f64 x y)) 4))))) (#(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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y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))))) |
| 1× | egg-herbie |
| 1344× | distribute-lft-in |
| 1318× | distribute-rgt-in |
| 748× | associate-/l* |
| 554× | distribute-lft-neg-in |
| 512× | distribute-lft-neg-out |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 4111 |
| 1 | 871 | 3473 |
| 2 | 3842 | 3469 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 y z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4)) |
(/.f64 (*.f64 4 (-.f64 x y)) z) |
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4)) |
(/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y))))) |
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y))) |
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 x (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) |
(/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 y z))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x y))) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) |
(/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
| Outputs |
|---|
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 -4 (/.f64 y z)) |
(/.f64 -4 (/.f64 z y)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 4 (-.f64 x y)) z) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) z) (sqrt.f64 (*.f64 4 (-.f64 x y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 -4 (-.f64 y x))) (sqrt.f64 (*.f64 -4 (-.f64 y x)))) z) |
(/.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 (cbrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))) (cbrt.f64 (*.f64 4 (-.f64 x y))))) |
(*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))))) |
(*.f64 (cbrt.f64 (*.f64 -4 (-.f64 y x))) (/.f64 (cbrt.f64 (*.f64 -4 (-.f64 y x))) (/.f64 z (cbrt.f64 (*.f64 -4 (-.f64 y x)))))) |
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) z) (sqrt.f64 (-.f64 x y))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z 4))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y))))) |
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) z) (cbrt.f64 (-.f64 x y))) |
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 z 4))) |
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y))) |
(*.f64 (/.f64 4 z) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) |
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x)))) |
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x)))) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
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(*.f64 (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 4 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 4 (*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z))) (/.f64 (sqrt.f64 z) (-.f64 x y)))) |
(*.f64 (/.f64 4 (sqrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (fabs.f64 (cbrt.f64 z)))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(*.f64 (/.f64 4 (cbrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (cbrt.f64 z))) (/.f64 4 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))) |
(/.f64 4 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)))) |
(/.f64 (*.f64 -4 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) 2))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16)) |
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 (-.f64 y x) z)) 2)) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
Compiled 14 to 7 computations (50% saved)
Compiled 14 to 9 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (-.f64 x y) (/.f64 4 z)) |
Compiled 20 to 10 computations (50% saved)
9 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 | y | @ | -inf | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 0.0ms | y | @ | 0 | (*.f64 (-.f64 x y) (/.f64 4 z)) |
| 1× | batch-egg-rewrite |
| 1550× | associate-*r/ |
| 1136× | associate-*l/ |
| 950× | *-commutative |
| 546× | associate-/r* |
| 532× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 200 | 19 |
| 2 | 2671 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (/.f64 4 z)) |
| Outputs |
|---|
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(*.f64 (-.f64 x y) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))))) |
| 1× | egg-herbie |
| 1632× | associate-/l* |
| 1014× | times-frac |
| 706× | associate-/r* |
| 620× | associate-/l/ |
| 620× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 493 | 8317 |
| 1 | 1493 | 7517 |
| 2 | 7957 | 7517 |
| 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 (-.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 x (/.f64 4 z)) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 x (/.f64 4 z))) |
(+.f64 (*.f64 1 (*.f64 x (/.f64 4 z))) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y)))) |
(+.f64 (*.f64 (*.f64 x (/.f64 4 z)) 1) (*.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) 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 x y) (*.f64 z 1/4)) (-.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 4 (sqrt.f64 (-.f64 x y))))) |
(/.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 4 (cbrt.f64 (-.f64 x y))))) |
(/.f64 (*.f64 (-.f64 x y) 4) z) |
(/.f64 (*.f64 (-.f64 x y) 4) (/.f64 z 1)) |
(/.f64 (*.f64 (-.f64 x y) 4) (neg.f64 (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 z 1/4))) |
(/.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) (*.f64 z 1/4)) 1)) |
(/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (-.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 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) 1)) |
(/.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 (+.f64 x y) (neg.f64 z)) (-.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 -4 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z)) (-.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 (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 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) |
(/.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 (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 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4))) (sqrt.f64 (*.f64 z 1/4))) |
(/.f64 (/.f64 (-.f64 x y) z) 1/4) |
(/.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)))) |
(/.f64 (*.f64 (-.f64 x y) -4) (neg.f64 z)) |
(/.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y))) |
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 z)) |
(/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 z)) |
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 z 1/4) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (*.f64 z 1/4) (-.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 y 3) (pow.f64 y 3))) (*.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 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (*.f64 (*.f64 z 1/4) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 y 3) 3)) (*.f64 (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.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 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y y) 3)) (*.f64 (*.f64 (+.f64 x y) (*.f64 z 1/4)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -4) (*.f64 (+.f64 x y) (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -4) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 z)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (*.f64 z 1/4) (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (*.f64 z 1/4) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (*.f64 (-.f64 x y) -1) (neg.f64 (*.f64 z 1/4))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 4 z) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y))))) |
(/.f64 (*.f64 (/.f64 4 z) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (/.f64 4 z) (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 (*.f64 (-.f64 x y) -4)) (neg.f64 z)) |
(/.f64 (*.f64 1 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)) |
(/.f64 (*.f64 1 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 1 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 z (+.f64 x y))) |
(/.f64 (*.f64 1 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4))) (sqrt.f64 z)) |
(/.f64 (*.f64 1 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4))) (cbrt.f64 z)) |
(/.f64 (*.f64 1 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -4)) (*.f64 (+.f64 x y) (neg.f64 z))) |
(/.f64 (*.f64 1 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -4)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (-.f64 x y) 4))) (neg.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (sqrt.f64 (*.f64 (-.f64 x y) 4))) (sqrt.f64 z)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) 4))) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) 4) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) 4) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) 4) -1) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4))) 1) (sqrt.f64 (*.f64 z 1/4))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4))) 2) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4))) (sqrt.f64 -4)) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 16 (*.f64 z z)))) 1) (cbrt.f64 (*.f64 z 1/4))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 16 (*.f64 z z)))) (cbrt.f64 4)) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 16 (*.f64 z z)))) (cbrt.f64 -4)) (cbrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y))) (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 (/.f64 4 z) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (/.f64 4 z) (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))))) |
(/.f64 (*.f64 (*.f64 (/.f64 4 z) (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 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (-.f64 x y)) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (-.f64 x y)) (cbrt.f64 z)) |
(/.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 (*.f64 z 1/4))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) -4) 1) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y))) 1) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) 1) (*.f64 z (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) 1) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) 1) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -4) 1) (*.f64 (+.f64 x y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -4) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) 1) (neg.f64 z)) |
(/.f64 (*.f64 1 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4)))) (sqrt.f64 (*.f64 z 1/4))) |
(/.f64 (*.f64 2 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4)))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 -4) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 z 1/4)))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (/.f64 4 z) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (+.f64 x y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) (sqrt.f64 z)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 x y) 4)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)) (cbrt.f64 z)) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 z)) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (-.f64 x y) (/.f64 4 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (*.f64 z 1/4)) (cbrt.f64 (*.f64 z 1/4)))) (cbrt.f64 (*.f64 z 1/4))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) -1) z) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) -4) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y))) 1) (+.f64 x y)) |
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y))) |
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (cbrt.f64 (+.f64 x y))) |
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) 1) (sqrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (sqrt.f64 z) 4)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) 1) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (/.f64 (-.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 (-.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 (-.f64 x y) (/.f64 (pow.f64 (cbrt.f64 z) 2) 4)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) 1) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) -1) z) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
| 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 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 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 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
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(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x y) 3))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x y) (/.f64 z 4)) |
Compiled 20 to 10 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| 0.0ms | z | @ | inf | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| 1× | batch-egg-rewrite |
| 1098× | *-commutative |
| 966× | associate-/r/ |
| 690× | associate-/l/ |
| 678× | swap-sqr |
| 474× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 210 | 19 |
| 2 | 3073 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (/.f64 z 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 z)) (*.f64 y (/.f64 -4 z)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))) (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (neg.f64 z)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 z)) (*.f64 (-.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1/4) (/.f64 (sqrt.f64 (-.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (/.f64 (sqrt.f64 (-.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 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(/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) 1) (sqrt.f64 (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) 1) (cbrt.f64 (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 z)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) z) (*.f64 4 (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 (-.f64 x y) z) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))))) |
| 1× | egg-herbie |
| 1228× | associate-/r* |
| 888× | associate-/l/ |
| 630× | unswap-sqr |
| 488× | *-commutative |
| 408× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 4712 |
| 1 | 908 | 3896 |
| 2 | 3289 | 3818 |
| 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 (-.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 x (/.f64 4 z)) (*.f64 y (/.f64 -4 z))) |
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (*.f64 y (/.f64 -4 z)) 1)) |
(+.f64 (*.f64 y (/.f64 -4 z)) (*.f64 x (/.f64 4 z))) |
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (*.f64 x (/.f64 4 z))) |
(-.f64 (*.f64 x (/.f64 4 z)) (*.f64 y (/.f64 4 z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) |
(*.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 (*.f64 z z) 1/16)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(*.f64 (/.f64 (-.f64 x y) z) 4) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 4 z) (-.f64 x (/.f64 y 1))) |
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) y)) |
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) (/.f64 y 1))) |
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 -4 z)) |
(*.f64 -4 (/.f64 (-.f64 x y) (neg.f64 z))) |
(*.f64 -4 (-.f64 (/.f64 x (neg.f64 z)) (/.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (*.f64 1 (sqrt.f64 (/.f64 4 z)))) |
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z))) |
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z))) |
(*.f64 (/.f64 1 z) (*.f64 (-.f64 x y) 4)) |
(*.f64 (/.f64 1 z) (/.f64 (-.f64 x y) 1/4)) |
(*.f64 (/.f64 1 z) (-.f64 (/.f64 x 1/4) (/.f64 y 1/4))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 4 z))) (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 4 z))) (-.f64 (/.f64 x (*.f64 (sqrt.f64 z) 1/2)) (*.f64 (/.f64 y (sqrt.f64 z)) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (-.f64 (/.f64 x (cbrt.f64 (*.f64 z 1/4))) (/.f64 y (cbrt.f64 (*.f64 z 1/4))))) |
(*.f64 (/.f64 (-.f64 x y) 1/4) (/.f64 1 z)) |
(*.f64 (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))) (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 1/16)))) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) -4) |
(*.f64 (/.f64 1 (neg.f64 z)) (*.f64 (-.f64 x y) -4)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1/4)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1/4) (/.f64 (sqrt.f64 (-.f64 x y)) z)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (sqrt.f64 (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (/.f64 (sqrt.f64 (-.f64 x y)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 z 1/4))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 (*.f64 z z) 1/16)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z) (/.f64 (cbrt.f64 (-.f64 x y)) 1/4)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) 1/4) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 z 1/4)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (sqrt.f64 z) 1/2)) (*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) 2)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (sqrt.f64 z) 1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(*.f64 (/.f64 -4 z) (+.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 x y) -1) (/.f64 -4 z)) |
(*.f64 (/.f64 1 (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) 4))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 z 1/4) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 z 1/4)) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) -1) (/.f64 4 z)) |
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) z) -4) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x 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 x (pow.f64 x 3)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) 1) (sqrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 z)) 2) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 -4)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) 1) (cbrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 z)) (cbrt.f64 4)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) z) (*.f64 4 (/.f64 4 z))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z 1/4)) (/.f64 4 z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) 1) (*.f64 (/.f64 4 z) (/.f64 4 z))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z z)) 16) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (neg.f64 z)) (*.f64 (/.f64 4 z) -4)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (*.f64 z 1/4))) 4) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 (*.f64 z 1/4) (neg.f64 z))) -4) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (neg.f64 z))) -16) |
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1) |
(neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4)) |
(neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) -4) 1)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (-.f64 x y) z) -4))) |
(neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z 1/4) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
| 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 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 x z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) y))) |
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
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(*.f64 (/.f64 (+.f64 y (neg.f64 x)) -1) (/.f64 4 z)) |
(*.f64 (/.f64 4 z) (/.f64 (-.f64 y x) -1)) |
(/.f64 (-.f64 y x) (*.f64 z -1/4)) |
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) z) -4) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 y x) (*.f64 -4 (/.f64 (-.f64 y x) z))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (/.f64 4 z) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (+.f64 y x)))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) (-.f64 (pow.f64 x 4) (*.f64 (+.f64 y x) (*.f64 (*.f64 y y) (+.f64 y x))))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.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 x (pow.f64 x 3)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(*.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 y x)) 3))) (fma.f64 x (pow.f64 x 3) (*.f64 y (*.f64 (+.f64 y x) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (+.f64 y x)) 3)) (/.f64 4 z))) (fma.f64 y (*.f64 (+.f64 y x) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x))) (pow.f64 x 4))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (fma.f64 (*.f64 y (+.f64 y x)) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x)) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (+.f64 y x)) 3))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) 1) (sqrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 z)) 2) |
(*.f64 2 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 1/2)))) |
(/.f64 (/.f64 (-.f64 x y) 1/2) (*.f64 (/.f64 (sqrt.f64 z) 2) (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 -4)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 (sqrt.f64 z) 1/2))) (sqrt.f64 -4)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 (sqrt.f64 z) 1/2) (sqrt.f64 (neg.f64 z)))) (sqrt.f64 -4)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) 1) (cbrt.f64 (/.f64 4 z))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z (*.f64 z 1/16)))) (*.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z)))) |
(*.f64 (cbrt.f64 (/.f64 4 z)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 z (*.f64 z 1/16))))) |
(*.f64 (-.f64 x y) (/.f64 (cbrt.f64 (/.f64 4 z)) (cbrt.f64 (*.f64 z (*.f64 z 1/16))))) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 z)) (cbrt.f64 4)) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 z (*.f64 z 1/16)))) (cbrt.f64 4)) (cbrt.f64 z)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 z 1/16)))) (cbrt.f64 4)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 (*.f64 z z) 1/16))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (*.f64 z (*.f64 z 1/16))))) (cbrt.f64 -4)) |
(*.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 z (*.f64 z 1/16)))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 (*.f64 z (*.f64 z 1/16))) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 -4)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) z) (*.f64 4 (/.f64 4 z))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z 1/4)) (/.f64 4 z)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) 1) (*.f64 (/.f64 4 z) (/.f64 4 z))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z z)) 16) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (neg.f64 z)) (*.f64 (/.f64 4 z) -4)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (*.f64 z 1/4))) 4) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 (*.f64 z 1/4) (neg.f64 z))) -4) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 z 1/4)) (*.f64 (*.f64 z -1/4) y)) (*.f64 z (neg.f64 z))) -16) |
(*.f64 (/.f64 (fma.f64 x (*.f64 z 1/4) (*.f64 y (*.f64 z -1/4))) z) (/.f64 16 z)) |
(*.f64 (fma.f64 y (*.f64 z -1/4) (*.f64 z (*.f64 1/4 x))) (/.f64 (/.f64 16 z) z)) |
(*.f64 (*.f64 z (+.f64 (*.f64 1/4 x) (*.f64 y -1/4))) (/.f64 (/.f64 16 z) z)) |
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) z) -4) 1)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (-.f64 x y) z) -4))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2)) |
(fabs.f64 (*.f64 -4 (/.f64 (-.f64 y x) z))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 4 z))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3)) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z 1/4) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (*.f64 (pow.f64 z 3) 1/64))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z))) |
(*.f64 -4 (/.f64 (-.f64 y x) z)) |
Compiled 10459 to 4797 computations (54.1% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 616 | 2 | 618 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 618 | 9 | 627 |
| Status | Error | Program |
|---|---|---|
| ✓ | 23.5b | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| ✓ | 44.6b | (/.f64 (*.f64 y -4) z) |
| ▶ | 23.7b | (/.f64 4 (/.f64 z (-.f64 x y))) |
| ▶ | 41.9b | (/.f64 4 (/.f64 z x)) |
| ✓ | 0.0b | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ▶ | 18.4b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ▶ | 21.5b | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ✓ | 41.8b | (*.f64 4 (/.f64 x z)) |
| 39.0b | -2 |
Compiled 80 to 61 computations (23.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -4 (/.f64 y z)) |
Compiled 22 to 12 computations (45.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | z | @ | inf | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | y | @ | 0 | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | z | @ | 0 | (*.f64 -4 (/.f64 y z)) |
| 0.0ms | y | @ | -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 22 to 12 computations (45.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 4 (/.f64 z x)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (/.f64 4 (/.f64 z x)) |
| 0.0ms | z | @ | inf | (/.f64 4 (/.f64 z x)) |
| 0.0ms | x | @ | inf | (/.f64 4 (/.f64 z x)) |
| 0.0ms | x | @ | 0 | (/.f64 4 (/.f64 z x)) |
| 0.0ms | z | @ | -inf | (/.f64 4 (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 1608× | add-sqr-sqrt |
| 1586× | *-un-lft-identity |
| 1492× | add-cube-cbrt |
| 1476× | add-cbrt-cube |
| 150× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 155 | 13 |
| 2 | 2022 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (/.f64 z x)) |
| Outputs |
|---|
((#(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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 z (-.f64 x y)) |
| ✓ | 0.3b | (/.f64 4 (/.f64 z (-.f64 x y))) |
Compiled 22 to 8 computations (63.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 z (-.f64 x y)) |
| 0.0ms | z | @ | -inf | (/.f64 z (-.f64 x y)) |
| 0.0ms | z | @ | 0 | (/.f64 z (-.f64 x y)) |
| 0.0ms | z | @ | inf | (/.f64 z (-.f64 x y)) |
| 0.0ms | x | @ | inf | (/.f64 z (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1512× | associate-*l/ |
| 1386× | associate-/r* |
| 1006× | *-commutative |
| 868× | associate-/l* |
| 638× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 206 | 32 |
| 2 | 2867 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (/.f64 z (-.f64 x y))) |
(/.f64 z (-.f64 x y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 772× | distribute-lft-neg-in |
| 626× | distribute-rgt-neg-in |
| 606× | associate-*r* |
| 580× | *-commutative |
| 554× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 5820 |
| 1 | 1201 | 5668 |
| 2 | 5274 | 5508 |
| 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 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(/.f64 z x) |
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(/.f64 z x) |
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(/.f64 z x) |
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(+.f64 (/.f64 (*.f64 4 x) z) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (/.f64 (*.f64 4 x) z)) |
(+.f64 (*.f64 1 (/.f64 (*.f64 4 x) z)) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y)))) |
(+.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 (-.f64 x y) z)))) 1) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(*.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z)))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z))) |
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(*.f64 (cbrt.f64 (-.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z))) |
(*.f64 (/.f64 4 z) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) z) 4) |
(*.f64 -4 (*.f64 -1 (/.f64 (-.f64 x y) z))) |
(*.f64 -4 (neg.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -4 z)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z)) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z))) |
(*.f64 (/.f64 1 z) (*.f64 4 (-.f64 x y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (*.f64 4 (cbrt.f64 (/.f64 (-.f64 x y) z)))) |
(*.f64 (/.f64 -4 z) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 -1 z) (*.f64 4 (neg.f64 (-.f64 x y)))) |
(*.f64 (*.f64 -1 (/.f64 (-.f64 x y) z)) -4) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 z)) (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z)))) |
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))) 1) (sqrt.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 x y) z))) |
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (cbrt.f64 z)) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 4 (/.f64 z 1)) (-.f64 x y)) |
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 4 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 4 z) -1) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 -4 (neg.f64 (neg.f64 z))) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (/.f64 4 z) (*.f64 (-.f64 x y) (+.f64 x 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)))))) |
(*.f64 (/.f64 (*.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (-.f64 x y)))) |
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3) |
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 z (-.f64 x y)) 1/4) -1) |
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x y)) 2))) |
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))) |
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) |
(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y)) |
(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) y) (*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) x)) |
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x)) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 x y)))) 1) |
(*.f64 z (/.f64 1 (-.f64 x y))) |
(*.f64 (/.f64 z (-.f64 x y)) 1) |
(*.f64 1 (/.f64 z (-.f64 x y))) |
(*.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) (sqrt.f64 (/.f64 z (-.f64 x y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y)))) |
(*.f64 (+.f64 x y) (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y)))) |
(*.f64 (/.f64 1 (-.f64 x y)) z) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(*.f64 (neg.f64 z) (/.f64 -1 (-.f64 x y))) |
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))) (sqrt.f64 z)) |
(*.f64 (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) |
(*.f64 (/.f64 z 1) (/.f64 1 (-.f64 x y))) |
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 z (cbrt.f64 (-.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) |
(*.f64 (/.f64 z (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y)) |
(*.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 1 (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 z (+.f64 x y))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 -1 (/.f64 (neg.f64 z) (-.f64 x y))) |
(*.f64 (/.f64 -1 (-.f64 x y)) (neg.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (-.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 x y)) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 x y)) (/.f64 (sqrt.f64 z) 1)) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (-.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 z) (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(*.f64 (/.f64 (/.f64 z 1) 1) (/.f64 1 (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (-.f64 x y)) (cbrt.f64 z)) |
(*.f64 (/.f64 z (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 z (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y))) |
(*.f64 (/.f64 z (+.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 1 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y)) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 z 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 (/.f64 z 1) (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 z 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 (/.f64 z (sqrt.f64 (-.f64 x y))) (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 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 z (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))))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y))) |
(pow.f64 (/.f64 z (-.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 3) |
(pow.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 x y) z) -1) |
(neg.f64 (/.f64 z (neg.f64 (-.f64 x y)))) |
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 2)) |
(log.f64 (exp.f64 (/.f64 z (-.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 x y))))) |
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 z (-.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 x y)))) |
| Outputs |
|---|
(*.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 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 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 4 z) x) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 4 z) x) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 x z)) |
(/.f64 4 (/.f64 z x)) |
(*.f64 (/.f64 4 z) x) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.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 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.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 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 -1 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) |
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))) |
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) |
(/.f64 z x) |
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))) |
(+.f64 (/.f64 z x) (/.f64 y (/.f64 (*.f64 x x) z))) |
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 z x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (/.f64 y (/.f64 (*.f64 x x) z))) |
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 (/.f64 z x) (/.f64 y x))) (/.f64 z x)) |
(+.f64 (/.f64 z x) (*.f64 z (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) z)))) |
(+.f64 (/.f64 z x) (+.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 y x)) (/.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z))) |
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 z (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(/.f64 z x) |
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))) |
(+.f64 (/.f64 z x) (/.f64 y (/.f64 (*.f64 x x) z))) |
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 z x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (/.f64 y (/.f64 (*.f64 x x) z))) |
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 (/.f64 z x) (/.f64 y x))) (/.f64 z x)) |
(+.f64 (/.f64 z x) (*.f64 z (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) z)))) |
(+.f64 (/.f64 z x) (+.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 y x)) (/.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z))) |
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 z (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(/.f64 z x) |
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2))) |
(+.f64 (/.f64 z x) (/.f64 y (/.f64 (*.f64 x x) z))) |
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 z x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (/.f64 y (/.f64 (*.f64 x x) z))) |
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 (/.f64 z x) (/.f64 y x))) (/.f64 z x)) |
(+.f64 (/.f64 z x) (*.f64 z (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3)) (/.f64 z x)) (+.f64 (/.f64 y (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) z)))) |
(+.f64 (/.f64 z x) (+.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 y x)) (/.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3)))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z))) |
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z) (*.f64 z (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(*.f64 -1 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) |
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))) |
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) |
(*.f64 -1 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))) |
(fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) |
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))) |
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 z) y))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 y y) x)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 (*.f64 y y) x)) (/.f64 z y)) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) (*.f64 (/.f64 z (pow.f64 y 3)) (*.f64 x x))) |
(-.f64 (-.f64 (/.f64 (neg.f64 z) y) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 (/.f64 z (pow.f64 y 4)) (pow.f64 x 3))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (-.f64 y y))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(*.f64 (/.f64 4 z) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (-.f64 y x))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(fma.f64 4 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(+.f64 (/.f64 (*.f64 4 x) z) (*.f64 (/.f64 4 z) (neg.f64 y))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 (/.f64 4 z) (neg.f64 y)) (/.f64 (*.f64 4 x) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 1 (/.f64 (*.f64 4 x) z)) (*.f64 1 (*.f64 (/.f64 4 z) (neg.f64 y)))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(+.f64 (*.f64 (/.f64 -4 z) (neg.f64 x)) (*.f64 (/.f64 -4 z) (neg.f64 (neg.f64 y)))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 1 (*.f64 4 (/.f64 (-.f64 x y) z))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z)))) |
(*.f64 4 (/.f64 (-.f64 x y) z)) |
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z))) |
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(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) |
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(/.f64 z (-.f64 x y)) |
(*.f64 (/.f64 z (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(*.f64 (/.f64 z (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y))) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (/.f64 z (+.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 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 z (-.f64 x y)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))) (cbrt.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 z (-.f64 x y)) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y)) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (/.f64 (/.f64 z 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 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y))) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (/.f64 (/.f64 z 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 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) (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 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 z (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 z (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) (sqrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 z (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))))) |
(*.f64 (/.f64 z (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 z (*.f64 (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))))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (+.f64 x y))) |
(*.f64 (/.f64 z (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))) (cbrt.f64 (+.f64 x y))) |
(pow.f64 (/.f64 z (-.f64 x y)) 1) |
(/.f64 z (-.f64 x y)) |
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) 2) |
(/.f64 z (-.f64 x y)) |
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 3) |
(/.f64 z (-.f64 x y)) |
(pow.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3) 1/3) |
(/.f64 z (-.f64 x y)) |
(pow.f64 (/.f64 (-.f64 x y) z) -1) |
(/.f64 z (-.f64 x y)) |
(neg.f64 (/.f64 z (neg.f64 (-.f64 x y)))) |
(/.f64 z (-.f64 x y)) |
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 2)) |
(fabs.f64 (/.f64 z (-.f64 x y))) |
(log.f64 (exp.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 z (-.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 x y))))) |
(/.f64 z (-.f64 x y)) |
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3)) |
(/.f64 z (-.f64 x y)) |
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 z (-.f64 x y)) |
(exp.f64 (log.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 z (-.f64 x y)) |
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 x y)))) |
(/.f64 z (-.f64 x y)) |
Compiled 4039 to 1797 computations (55.5% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 1 | 262 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 261 | 10 | 271 |
| Status | Error | Program |
|---|---|---|
| ✓ | 23.5b | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| ✓ | 44.6b | (/.f64 (*.f64 y -4) z) |
| ✓ | 23.7b | (/.f64 4 (/.f64 z (-.f64 x y))) |
| ✓ | 41.9b | (/.f64 4 (/.f64 z x)) |
| ✓ | 0.0b | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ✓ | 18.4b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 21.5b | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ▶ | 41.9b | (*.f64 (/.f64 4 z) x) |
| ✓ | 41.8b | (*.f64 4 (/.f64 x z)) |
| 39.0b | -2 |
Compiled 88 to 67 computations (23.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 4 z) x) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 4 z) x) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 4 z) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 4 z) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 4 z) x) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 4 z) x) |
| 1× | batch-egg-rewrite |
| 1444× | add-sqr-sqrt |
| 1422× | *-un-lft-identity |
| 1334× | add-cube-cbrt |
| 1318× | add-cbrt-cube |
| 1304× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 149 | 13 |
| 2 | 1800 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 4 z) x) |
| Outputs |
|---|
((#(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)) |
Compiled 170 to 107 computations (37.1% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 0 | 23 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 23 | 10 | 33 |
| Status | Error | Program |
|---|---|---|
| ✓ | 23.5b | (/.f64 (-.f64 x y) (/.f64 z 4)) |
| ✓ | 44.6b | (/.f64 (*.f64 y -4) z) |
| ✓ | 23.7b | (/.f64 4 (/.f64 z (-.f64 x y))) |
| ✓ | 41.9b | (/.f64 4 (/.f64 z x)) |
| ✓ | 0.0b | (-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
| ✓ | 18.4b | (-.f64 (*.f64 4 (/.f64 x z)) 2) |
| ✓ | 21.5b | (-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| ✓ | 41.9b | (*.f64 (/.f64 4 z) x) |
| ✓ | 41.8b | (*.f64 4 (/.f64 x z)) |
| 39.0b | -2 |
Compiled 88 to 67 computations (23.9% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 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) |
(fma.f64 4 (/.f64 (-.f64 x y) z) -2) |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
5 calls:
| 8.0ms | (-.f64 x y) |
| 8.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| 6.0ms | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z) |
| 0.0b | 1 | (-.f64 x y) |
Compiled 137 to 82 computations (40.1% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
| Outputs |
|---|
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(/.f64 (-.f64 x y) (/.f64 z 4)) |
4 calls:
| 44.0ms | (-.f64 x y) |
| 40.0ms | x |
| 39.0ms | y |
| 24.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 7.6b | 5 | x |
| 4.4b | 5 | y |
| 9.2b | 3 | z |
| 9.9b | 6 | (-.f64 x y) |
Compiled 84 to 52 computations (38.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 9.157303221627002e-48 | 4.538046204366331e-45 |
| 18.0ms | -1.2064650190464083e-92 | -4.427781889800128e-98 |
| 12.0ms | -1.1033487819805447e-61 | -2.8413446711278584e-63 |
| 14.0ms | -812.1200098019016 | -13.389718347556709 |
| 54.0ms | 496× | body | 256 | valid |
Compiled 702 to 551 computations (21.5% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
| Outputs |
|---|
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(/.f64 4 (/.f64 z (-.f64 x y))) |
4 calls:
| 81.0ms | (-.f64 x y) |
| 67.0ms | x |
| 62.0ms | y |
| 23.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 7.6b | 5 | x |
| 4.4b | 5 | y |
| 9.3b | 3 | z |
| 10.0b | 6 | (-.f64 x y) |
Compiled 77 to 49 computations (36.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.157303221627002e-48 | 4.538046204366331e-45 |
| 18.0ms | -1.2064650190464083e-92 | -4.427781889800128e-98 |
| 14.0ms | -1.1033487819805447e-61 | -2.8413446711278584e-63 |
| 13.0ms | -812.1200098019016 | -13.389718347556709 |
| 54.0ms | 496× | body | 256 | valid |
Compiled 702 to 551 computations (21.5% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
| Outputs |
|---|
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(-.f64 (*.f64 4 (/.f64 x z)) 2) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
4 calls:
| 40.0ms | (-.f64 x y) |
| 34.0ms | x |
| 33.0ms | y |
| 23.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 7.6b | 5 | x |
| 4.5b | 5 | y |
| 9.3b | 3 | z |
| 10.0b | 6 | (-.f64 x y) |
Compiled 70 to 46 computations (34.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 9.157303221627002e-48 | 4.538046204366331e-45 |
| 17.0ms | -1.2064650190464083e-92 | -4.427781889800128e-98 |
| 13.0ms | -1.1033487819805447e-61 | -2.8413446711278584e-63 |
| 18.0ms | -812.1200098019016 | -13.389718347556709 |
| 59.0ms | 496× | body | 256 | valid |
Compiled 702 to 551 computations (21.5% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(-.f64 (*.f64 -4 (/.f64 y z)) 2) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 (-.f64 x y) (/.f64 4 z)) |
4 calls:
| 100.0ms | y |
| 84.0ms | z |
| 32.0ms | (-.f64 x y) |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.6b | 5 | x |
| 14.4b | 6 | y |
| 11.6b | 3 | z |
| 11.5b | 5 | (-.f64 x y) |
Compiled 63 to 42 computations (33.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.3589154842160571e+27 | 4.6981004944203016e+30 |
| 20.0ms | -1.0956698258550571e-36 | -1.8333844686914947e-40 |
| 43.0ms | -3.4867301134291907e+28 | -6.187757958839753e+25 |
| 17.0ms | -5.872866152350416e+105 | -1.9918352698077914e+102 |
| 86.0ms | 512× | body | 256 | valid |
| 2.0ms | 22× | body | 256 | infinite |
Compiled 724 to 559 computations (22.8% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 x z)) |
(*.f64 -4 (-.f64 (/.f64 y z) -1/2)) |
(*.f64 4 (/.f64 x z)) |
3 calls:
| 32.0ms | y |
| 22.0ms | z |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.6b | 5 | x |
| 20.3b | 3 | y |
| 18.6b | 5 | z |
Compiled 43 to 30 computations (30.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.997357578898575e+92 | 6.7168236796570655e+100 |
| 15.0ms | -1.0956698258550571e-36 | -1.8333844686914947e-40 |
| 15.0ms | -0.0005740516206535405 | -2.2766514175713726e-7 |
| 17.0ms | -5.872866152350416e+105 | -1.9918352698077914e+102 |
| 54.0ms | 528× | body | 256 | valid |
| 3.0ms | 29× | body | 256 | infinite |
Compiled 680 to 543 computations (20.1% saved)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
(/.f64 (*.f64 y -4) z) |
| Outputs |
|---|
(/.f64 (*.f64 y -4) z) |
-2 |
(/.f64 (*.f64 y -4) z) |
-2 |
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
-2 |
(/.f64 (*.f64 y -4) z) |
3 calls:
| 74.0ms | z |
| 56.0ms | x |
| 40.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 25.6b | 7 | x |
| 25.0b | 9 | y |
| 25.4b | 8 | z |
Compiled 36 to 25 computations (30.6% saved)
| 8× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 9.157303221627002e-48 | 4.538046204366331e-45 |
| 45.0ms | 2.1478878206063442e-63 | 2.3800361154834563e-53 |
| 5.0ms | 2.698623116237443e-90 | 3.3982251811352805e-90 |
| 14.0ms | -4.231694227022341e-242 | -8.334613075890833e-247 |
| 23.0ms | -4.9937134380644813e-163 | -1.0211303802039737e-165 |
| 11.0ms | -1.2098067379798536e-58 | -1.8511503122787691e-59 |
| 23.0ms | -0.001311537881678247 | -1.2335156726903294e-5 |
| 18.0ms | -1.3685556196822962e+106 | -1.5108631663340883e+97 |
| 141.0ms | 944× | body | 256 | valid |
| 1.0ms | 14× | body | 256 | infinite |
Compiled 846 to 723 computations (14.5% saved)
Total -35.3b remaining (-132.1%)
Threshold costs -35.3b (-132.1%)
| Inputs |
|---|
-2 |
(*.f64 4 (/.f64 x z)) |
(*.f64 (/.f64 4 z) x) |
(/.f64 4 (/.f64 z x)) |
| Outputs |
|---|
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
-2 |
(*.f64 4 (/.f64 x z)) |
3 calls:
| 58.0ms | x |
| 54.0ms | y |
| 10.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 26.7b | 5 | x |
| 32.5b | 6 | y |
| 29.7b | 3 | z |
Compiled 31 to 22 computations (29% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 1.6946422706426998e+54 | 1.8581764115814752e+56 |
| 17.0ms | -1.8333844686914947e-40 | -2.253615993812959e-44 |
| 30.0ms | -3.4867301134291907e+28 | -6.187757958839753e+25 |
| 17.0ms | -5.872866152350416e+105 | -1.9918352698077914e+102 |
| 92.0ms | 496× | body | 256 | valid |
| 3.0ms | 30× | body | 256 | infinite |
Compiled 454 to 387 computations (14.8% saved)
| 1× | egg-herbie |
| 24× | not-or |
| 18× | not-not |
| 18× | if-if-or-not |
| 18× | if-not |
| 12× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 857 |
| 1 | 144 | 833 |
| 2 | 161 | 815 |
| 3 | 181 | 803 |
| 4 | 194 | 803 |
| 5 | 206 | 803 |
| 6 | 209 | 803 |
| 7 | 212 | 803 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(if (<=.f64 y -23) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 (-.f64 x y) (/.f64 z 4)))))) |
(if (<=.f64 y -55) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 4 (/.f64 z (-.f64 x y))) (if (<=.f64 y -1702693372511029/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 4 (/.f64 z (-.f64 x y))))))) |
(if (<=.f64 y -120) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -6484356997289707/231584178474632390847141970017375815706539969331281128078915168015826259279872) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (*.f64 (-.f64 x y) (/.f64 4 z)))))) |
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x -23999999999999998119878066176) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x 106000000000000007455794790400) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 (-.f64 x y) (/.f64 4 z)))))) |
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -8689154328480147/37778931862957161709568) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z)))))) |
(if (<=.f64 y -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -4722366482869645/295147905179352825856) -2 (if (<=.f64 y -5201597758707563/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -117515577634325/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -2 (if (<=.f64 y -4036041047165407/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 3554922854784611/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) -2 (if (<=.f64 y 1128972870063833/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) -2 (/.f64 (*.f64 y -4) z))))))))) |
(if (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -1850000000000000010838081536) -2 (if (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 2000000000000000156583080809192487684610720599772233728) -2 (*.f64 4 (/.f64 x z)))))) |
-2 |
| Outputs |
|---|
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2) |
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2) |
(if (<=.f64 y -23) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 (-.f64 x y) (/.f64 z 4)))))) |
(if (<=.f64 y -23) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (+.f64 (*.f64 4 (/.f64 x z)) -2) (/.f64 (-.f64 x y) (/.f64 z 4)))))) |
(if (<=.f64 y -55) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 4 (/.f64 z (-.f64 x y))) (if (<=.f64 y -1702693372511029/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (/.f64 4 (/.f64 z (-.f64 x y))))))) |
(if (<=.f64 y -55) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 4 (/.f64 z (-.f64 x y))) (if (<=.f64 y -1702693372511029/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (+.f64 (*.f64 4 (/.f64 x z)) -2) (/.f64 4 (/.f64 z (-.f64 x y))))))) |
(if (<=.f64 y -120) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y -6484356997289707/231584178474632390847141970017375815706539969331281128078915168015826259279872) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 4 (/.f64 x z)) 2) (*.f64 (-.f64 x y) (/.f64 4 z)))))) |
(if (<=.f64 y -120) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y -6484356997289707/231584178474632390847141970017375815706539969331281128078915168015826259279872) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 y -1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) (+.f64 (*.f64 4 (/.f64 x z)) -2) (*.f64 (-.f64 x y) (/.f64 4 z)))))) |
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x -23999999999999998119878066176) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x 106000000000000007455794790400) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 (-.f64 x y) (/.f64 4 z)))))) |
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (<=.f64 x -23999999999999998119878066176) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (or (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (not (<=.f64 x 106000000000000007455794790400))) (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))))) |
(if (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (*.f64 (-.f64 x y) (/.f64 4 z)) (if (or (<=.f64 x -23999999999999998119878066176) (not (or (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (not (<=.f64 x 106000000000000007455794790400))))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (*.f64 (-.f64 x y) (/.f64 4 z)))) |
(if (or (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (not (or (<=.f64 x -23999999999999998119878066176) (not (or (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848) (not (<=.f64 x 106000000000000007455794790400))))))) (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (or (<=.f64 x -11999999999999999227270922773157397385979864492268959973103800899436203985705502042479638521244763029504) (not (or (<=.f64 x -23999999999999998119878066176) (and (not (<=.f64 x -2993155353253689/2993155353253689176481146537402947624255349848014848)) (<=.f64 x 106000000000000007455794790400))))) (*.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -8689154328480147/37778931862957161709568) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208) (*.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z)))))) |
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -8689154328480147/37778931862957161709568) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))))) |
(if (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (*.f64 4 (/.f64 x z)) (if (or (<=.f64 x -8689154328480147/37778931862957161709568) (not (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (*.f64 4 (/.f64 x z)))) |
(if (or (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (not (or (<=.f64 x -8689154328480147/37778931862957161709568) (not (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (or (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (not (or (<=.f64 x -8689154328480147/37778931862957161709568) (and (not (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696)) (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (or (<=.f64 x -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160) (and (not (<=.f64 x -8689154328480147/37778931862957161709568)) (or (<=.f64 x -6345489348897821/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208))))) (*.f64 4 (/.f64 x z)) (*.f64 -4 (+.f64 (/.f64 y z) 1/2))) |
(if (<=.f64 y -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -4722366482869645/295147905179352825856) -2 (if (<=.f64 y -5201597758707563/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 (*.f64 y -4) z) (if (<=.f64 y -117515577634325/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -2 (if (<=.f64 y -4036041047165407/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 3554922854784611/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) -2 (if (<=.f64 y 1128972870063833/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 4 (/.f64 x z)) (if (<=.f64 y 451951324947841/100433627766186892221372630771322662657637687111424552206336) -2 (/.f64 (*.f64 y -4) z))))))))) |
(if (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -1850000000000000010838081536) -2 (if (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 2000000000000000156583080809192487684610720599772233728) -2 (*.f64 4 (/.f64 x z)))))) |
(if (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -1850000000000000010838081536) -2 (if (or (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544) (not (<=.f64 x 2000000000000000156583080809192487684610720599772233728))) (*.f64 4 (/.f64 x z)) -2))) |
(if (or (<=.f64 x -15500000000000000825410142084545992859958901507523820333598295752046727429904188746454355469230195867648) (not (or (<=.f64 x -1850000000000000010838081536) (and (not (<=.f64 x -68962299338965/383123885216472214589586756787577295904684780545900544)) (<=.f64 x 2000000000000000156583080809192487684610720599772233728))))) (*.f64 4 (/.f64 x z)) -2) |
-2 |
Compiled 337 to 237 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 25 to 16 computations (36% saved)
Compiled 313 to 200 computations (36.1% saved)
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