Time bar (total: 9.3s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 25.2% | 25% | 74.1% | 0.1% | 0.8% | 0% | 0% | 9 |
| 36.6% | 35.9% | 62.2% | 0.1% | 1.8% | 0% | 0% | 10 |
| 43.2% | 42.1% | 55.5% | 0.1% | 2.2% | 0% | 0% | 11 |
| 50.4% | 48% | 47.2% | 0.1% | 4.7% | 0% | 0% | 12 |
Compiled 16 to 11 computations (31.3% saved)
| 1.1s | 8256× | body | 256 | valid |
| 184.0ms | 1695× | body | 256 | infinite |
| 2× | egg-herbie |
| 1090× | times-frac |
| 1040× | associate--r- |
| 924× | fma-neg |
| 826× | +-commutative |
| 772× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 140 |
| 1 | 73 | 140 |
| 2 | 152 | 140 |
| 3 | 294 | 140 |
| 4 | 461 | 124 |
| 5 | 943 | 124 |
| 6 | 1666 | 124 |
| 7 | 3254 | 124 |
| 8 | 7633 | 124 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))) |
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) |
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x)))) |
(fabs.f64 (fma.f64 z (/.f64 y x) (/.f64 (-.f64 -4 y) x))) |
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x))) |
(fabs.f64 (*.f64 (/.f64 -1 x) (fma.f64 y z (-.f64 -4 y)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y)))) |
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y))) |
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 z) y))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z)))) |
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z))) |
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z))) |
(fabs.f64 (*.f64 (/.f64 -1 z) (fma.f64 x y (-.f64 -4 x)))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 1172× | fma-def |
| 780× | associate-+r+ |
| 684× | associate-+l+ |
| 622× | associate-+l- |
| 608× | associate--r+ |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 24 | 35 |
| 2 | 48 | 35 |
| 3 | 88 | 35 |
| 4 | 140 | 31 |
| 5 | 283 | 31 |
| 6 | 511 | 31 |
| 7 | 982 | 31 |
| 8 | 2079 | 25 |
| 9 | 4005 | 25 |
| 10 | 4865 | 25 |
| 11 | 5761 | 25 |
| 12 | 6034 | 25 |
| 13 | 6034 | 25 |
| 1× | saturated |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) |
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y))) |
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) |
Compiled 58 to 33 computations (43.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 3 | 5 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 4 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 5.1b | (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) |
| ▶ | 0.8b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) |
| ▶ | 0.8b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
Compiled 42 to 28 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 4) y) |
| ✓ | 1.9b | (*.f64 (/.f64 x y) z) |
Compiled 46 to 20 computations (56.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 75.0ms | x | @ | inf | (/.f64 (+.f64 x 4) y) |
| 1.0ms | y | @ | 0 | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | z | @ | 0 | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 1550× | associate-/l* |
| 762× | distribute-rgt-in |
| 714× | distribute-lft-in |
| 538× | associate-/r/ |
| 380× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 256 | 51 |
| 2 | 3757 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) z) |
(/.f64 (+.f64 x 4) y) |
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| Outputs |
|---|
((#(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 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 (cbrt.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (/.f64 y (cbrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) z)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 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 sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(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))))))) |
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/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 -4 x) y) (*.f64 (neg.f64 y) (*.f64 x z))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (neg.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))))))) |
| 1× | egg-herbie |
| 1694× | associate-+r+ |
| 1012× | +-commutative |
| 966× | fma-def |
| 742× | associate-*r* |
| 632× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 12517 |
| 1 | 1517 | 10519 |
| 2 | 7085 | 10519 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1) |
(/.f64 x (/.f64 y z)) |
(/.f64 x (/.f64 (/.f64 y z) 1)) |
(/.f64 z (/.f64 y x)) |
(/.f64 1 (/.f64 y (*.f64 x z))) |
(/.f64 1 (/.f64 (/.f64 y z) x)) |
(/.f64 1 (/.f64 (/.f64 y x) z)) |
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) z))) |
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) 2))) |
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 (cbrt.f64 x) z))) |
(/.f64 (*.f64 x z) y) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) z)) |
(/.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (/.f64 y (cbrt.f64 (*.f64 x z)))) |
(/.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z))) |
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (/.f64 x (/.f64 1 z)) y) |
(/.f64 (/.f64 z (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y)) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) z)) (cbrt.f64 y)) |
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 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) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) |
(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))) |
(+.f64 (/.f64 x y) (*.f64 (/.f64 1 y) 4)) |
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) |
(+.f64 (*.f64 (/.f64 1 y) 4) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1) |
(*.f64 (+.f64 x 4) (/.f64 1 y)) |
(*.f64 (/.f64 (+.f64 x 4) y) 1) |
(*.f64 1 (/.f64 (+.f64 x 4) y)) |
(*.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y))) |
(*.f64 (/.f64 1 y) (+.f64 x 4)) |
(*.f64 (-.f64 -4 x) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 y)) (-.f64 -4 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) y) (sqrt.f64 (+.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) y) (cbrt.f64 (+.f64 x 4))) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4)) 2))) (cbrt.f64 (+.f64 x 4))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (fma.f64 x x -16)) (+.f64 x 4)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x -16) (/.f64 1 y)) (-.f64 (pow.f64 x 3) 64)) (+.f64 (+.f64 16 (*.f64 x x)) (*.f64 x 4))) |
(*.f64 (/.f64 (*.f64 (+.f64 64 (pow.f64 x 3)) (/.f64 1 y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 16 (*.f64 x 4)) (-.f64 16 (*.f64 x 4))))) (+.f64 (fma.f64 x x -16) (*.f64 x 4))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) (*.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (+.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z)))) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (+.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z)))) (*.f64 (/.f64 y (+.f64 x 4)) y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (+.f64 (*.f64 (-.f64 -4 x) y) (*.f64 (neg.f64 y) (*.f64 x z)))) (*.f64 (neg.f64 y) y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (*.f64 (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))))) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) |
(/.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (/.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (/.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)))) (/.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z)))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (*.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z))) (*.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)))))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) |
(/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)) |
(/.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) y) (*.f64 (neg.f64 y) (*.f64 x z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (neg.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))) |
(pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 1 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 x 4) y) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 x (/.f64 y z)) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 x (/.f64 y z)) 2)))) (/.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 x (/.f64 y z)) 2))))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 x (/.f64 z y)) 2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 x (/.f64 z y)) 2))) (/.f64 (fma.f64 (/.f64 z y) x (/.f64 (+.f64 x 4) y)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 x (/.f64 z y)) 2)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z)))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 6) (pow.f64 (/.f64 x (/.f64 y z)) 6)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (/.f64 x y) (*.f64 z (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))) (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 6) (pow.f64 (*.f64 x (/.f64 z y)) 6)) (+.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3))) (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 (/.f64 z y) x (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (*.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 4) (pow.f64 (/.f64 x (/.f64 y z)) 4)) (*.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (+.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2))) (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z))) (*.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 x (/.f64 y z)) 3)) 1) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (/.f64 x y) (*.f64 z (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 (/.f64 z y) x (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 3) (pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (/.f64 x y) (*.f64 z (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 6) (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 6) (*.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 3) (pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 3)) (*.f64 (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 (/.f64 z y) x (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 6) (fma.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 6))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) 3)) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 4) (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 4) (*.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 6) (pow.f64 (*.f64 x (/.f64 z y)) 6)) (fma.f64 (/.f64 z y) x (/.f64 (+.f64 x 4) y))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 4) (fma.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 x (/.f64 z y)) 4)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 y (+.f64 x 4)) (*.f64 y (*.f64 z x))) (*.f64 y y)) |
(/.f64 (*.f64 y (-.f64 (+.f64 x 4) (*.f64 z x))) (*.f64 y y)) |
(/.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y)) |
(/.f64 (-.f64 y (*.f64 (*.f64 z x) (/.f64 y (+.f64 x 4)))) (/.f64 (*.f64 y y) (+.f64 x 4))) |
(/.f64 (-.f64 y (/.f64 (*.f64 x (*.f64 z y)) (+.f64 x 4))) (/.f64 (*.f64 y y) (+.f64 x 4))) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) y) (*.f64 (neg.f64 y) (*.f64 x z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (+.f64 (*.f64 y (-.f64 -4 x)) (*.f64 y (*.f64 z x))) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 y (+.f64 (*.f64 z x) (-.f64 -4 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (neg.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 x (/.f64 y z)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (/.f64 x y) (*.f64 z (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 (/.f64 z y) x (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)))) |
(pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3) 1/3) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) 2)) |
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 1)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(fma.f64 1 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))) |
| 0.0b | (/.f64 (+.f64 x 4) y) | |
| ✓ | 1.8b | (/.f64 z (/.f64 y x)) |
Compiled 46 to 20 computations (56.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 z (/.f64 y x)) |
| 0.0ms | z | @ | -inf | (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))) |
| 0.0ms | z | @ | inf | (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))) |
| 0.0ms | z | @ | 0 | (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))) |
| 1× | batch-egg-rewrite |
| 1394× | associate-/r/ |
| 836× | distribute-rgt-in |
| 812× | associate-/l/ |
| 794× | distribute-lft-in |
| 282× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 265 | 44 |
| 2 | 4213 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 y x)) |
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))))))) |
| 1× | egg-herbie |
| 1116× | associate-*r* |
| 820× | *-commutative |
| 816× | associate-*l* |
| 688× | associate-/l* |
| 570× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 609 | 13437 |
| 1 | 1984 | 12419 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1) |
(*.f64 z (/.f64 x y)) |
(*.f64 x (/.f64 z y)) |
(*.f64 (*.f64 z (/.f64 x y)) 1) |
(*.f64 1 (*.f64 z (/.f64 x y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y))) |
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y)))) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 1 y) (*.f64 z x)) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 z 1) x)) |
(*.f64 (/.f64 x y) z) |
(*.f64 (neg.f64 z) (*.f64 -1 (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 z y) 1) x) |
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 z 1) (/.f64 x y)) |
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
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(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 (+.f64 x 4) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))) |
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (+.f64 (/.f64 (+.f64 x 4) y) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1) (/.f64 (+.f64 x 4) y)) |
(+.f64 (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 z (/.f64 x y))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (/.f64 x y)))) (sqrt.f64 (*.f64 z (/.f64 x y))) (*.f64 z (/.f64 x y))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(+.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(+.f64 (-.f64 (/.f64 (+.f64 x 4) y) (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y))))) 1) |
(*.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 1) |
(*.f64 1 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) (sqrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(*.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))))) |
(*.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) (*.f64 (/.f64 1 y) (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 x y)) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 z (/.f64 x y))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))))) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))) |
(*.f64 (*.f64 (/.f64 1 y) (/.f64 x y)) (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y))) (*.f64 y (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) (*.f64 (/.f64 (*.f64 (+.f64 x 4) z) y) (/.f64 x y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 y (*.f64 (+.f64 x 4) (/.f64 y (*.f64 z x))))) (*.f64 y (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (*.f64 (+.f64 x 4) (/.f64 (neg.f64 y) x)) (*.f64 y (neg.f64 z)))) (*.f64 y (/.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (/.f64 y x) (*.f64 (/.f64 y (+.f64 x 4)) z))) (*.f64 (/.f64 y (+.f64 x 4)) (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y (+.f64 x 4)) 1))) (*.f64 (/.f64 y (+.f64 x 4)) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y (+.f64 x 4)) (neg.f64 z)))) (*.f64 (/.f64 y (+.f64 x 4)) (/.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (*.f64 (neg.f64 y) z) (*.f64 (-.f64 -4 x) (/.f64 y x)))) (*.f64 (neg.f64 y) (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (*.f64 (-.f64 -4 x) (/.f64 y (*.f64 z x))) (*.f64 (neg.f64 y) 1))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (*.f64 (-.f64 -4 x) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 z)))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (*.f64 (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))))) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (*.f64 (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))))) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) (*.f64 y y)) x) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) (*.f64 y (neg.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) y) x) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) 1) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y 1)) x) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) -1) (neg.f64 (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)))) |
(/.f64 1 (/.f64 y (*.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) (*.f64 y (/.f64 y x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z)))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 x 4))) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 (*.f64 y (/.f64 y x)) (+.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (*.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (*.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2))) (*.f64 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z))) (*.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) 3) (pow.f64 (*.f64 z y) 3)) (*.f64 (*.f64 y (/.f64 y x)) (+.f64 (*.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 x 4))) (+.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) 3)) (*.f64 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (*.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x 4) (/.f64 y (*.f64 z x))) y) (*.f64 y (/.f64 y (*.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 x 4) (/.f64 (neg.f64 y) x)) (*.f64 y (neg.f64 z))) (*.f64 y (/.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y (+.f64 x 4)) z)) (*.f64 (/.f64 y (+.f64 x 4)) (/.f64 y x))) |
(/.f64 (-.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y (+.f64 x 4)) 1)) (*.f64 (/.f64 y (+.f64 x 4)) (/.f64 y (*.f64 z x)))) |
(/.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y (+.f64 x 4)) (neg.f64 z))) (*.f64 (/.f64 y (+.f64 x 4)) (/.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) (/.f64 y x)) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) (/.f64 y (*.f64 z x))) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2))) (neg.f64 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y))) (neg.f64 (*.f64 y (/.f64 y x)))) |
(pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 3) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 2)) |
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))))) |
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 1 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 x (/.f64 z y)) |
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(/.f64 (-.f64 (*.f64 (-.f64 -4 x) (/.f64 y x)) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (/.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 y x) (+.f64 x 4) (*.f64 z (neg.f64 y))) (neg.f64 (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 -4 x) (/.f64 y x) (*.f64 z y)) (*.f64 y (neg.f64 y))) x) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) (/.f64 y (*.f64 z x))) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 z x)))) |
(/.f64 (fma.f64 (-.f64 -4 x) (/.f64 y (*.f64 z x)) y) (*.f64 (neg.f64 y) (/.f64 y (*.f64 z x)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 -4 x) (/.f64 (/.f64 y z) x) y) (*.f64 y (neg.f64 y))) (*.f64 z x)) |
(/.f64 (-.f64 (*.f64 (-.f64 -4 x) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 (/.f64 y x) (+.f64 x 4) (*.f64 z (neg.f64 y))))) |
(*.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) (/.f64 (/.f64 x y) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2))) (neg.f64 (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 x (/.f64 z y)) 2))) (neg.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 x 4) y)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (neg.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 x 4) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 z (/.f64 x y)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 z (/.f64 x y)) (+.f64 (*.f64 z (/.f64 x y)) (/.f64 (+.f64 x 4) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 z (*.f64 (/.f64 x y) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 x 4) y))))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 x (/.f64 z y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 x 4) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y))) (neg.f64 (*.f64 y (/.f64 y x)))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 y x) (+.f64 x 4) (*.f64 z (neg.f64 y))) (neg.f64 (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 -4 x) (/.f64 y x) (*.f64 z y)) (*.f64 y (neg.f64 y))) x) |
(pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 1) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 2) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 3) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 3) 1/3) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) 2)) |
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 3)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y)))) 1)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (+.f64 x 4) (/.f64 1 y) (*.f64 z (/.f64 (neg.f64 x) y))) |
(fma.f64 1 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 z (/.f64 (neg.f64 x) y))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 z (/.f64 (neg.f64 x) y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.8b | (/.f64 (-.f64 x (fma.f64 x z -4)) y) |
Compiled 34 to 18 computations (47.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (-.f64 x (fma.f64 x z -4)) y) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x (fma.f64 x z -4)) y) |
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 x (fma.f64 x z -4)) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 x (fma.f64 x z -4)) y) |
| 0.0ms | z | @ | inf | (/.f64 (-.f64 x (fma.f64 x z -4)) y) |
| 1× | batch-egg-rewrite |
| 1316× | associate-*r/ |
| 1214× | associate-/r* |
| 1088× | associate-/l* |
| 1074× | *-commutative |
| 938× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 219 | 21 |
| 2 | 3031 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (fma.f64 x z -4)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 x z -4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (fma.f64 x z -4) y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 x z -4)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (sqrt.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) y) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))) (cbrt.f64 (-.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2))) (-.f64 x (fma.f64 x z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x (fma.f64 x z -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))))))) |
| 1× | egg-herbie |
| 1238× | distribute-lft-in |
| 1152× | distribute-rgt-in |
| 970× | associate-*r/ |
| 686× | associate-*l/ |
| 602× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 2968 |
| 1 | 454 | 2792 |
| 2 | 1789 | 2422 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 x z -4) y))) |
(+.f64 (neg.f64 (/.f64 (fma.f64 x z -4) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) 1) |
(*.f64 (-.f64 x (fma.f64 x z -4)) (/.f64 1 y)) |
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1) |
(*.f64 1 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) |
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4))) |
(*.f64 (neg.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 -1 y)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (sqrt.f64 (-.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 -1 y) (neg.f64 (-.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) y) (cbrt.f64 (-.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))) (cbrt.f64 (-.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2))) (-.f64 x (fma.f64 x z -4))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3) 1/3) |
(pow.f64 (/.f64 y (-.f64 x (fma.f64 x z -4))) -1) |
(neg.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
| Outputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (-.f64 1 z) (/.f64 y x)) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (-.f64 1 z) (/.f64 y x)) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y)) |
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 x z -4) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (neg.f64 (/.f64 (fma.f64 x z -4) y)) (/.f64 x y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) 1) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (-.f64 x (fma.f64 x z -4)) (/.f64 1 y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 1 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z x -4))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (neg.f64 (-.f64 x (fma.f64 x z -4))) (/.f64 -1 y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (sqrt.f64 (-.f64 x (fma.f64 x z -4)))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 -1 y) (neg.f64 (-.f64 x (fma.f64 x z -4)))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x z -4))) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (-.f64 x (fma.f64 x z -4))) (cbrt.f64 y)) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) y)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x (fma.f64 x z -4)) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z x -4))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2) y) (cbrt.f64 (-.f64 x (fma.f64 x z -4)))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x z -4))) 2))) (cbrt.f64 (-.f64 x (fma.f64 x z -4)))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2))) (-.f64 x (fma.f64 x z -4))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) y) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x z -4) 2)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y)) (-.f64 (fma.f64 x x (pow.f64 (fma.f64 x z -4) 2)) (*.f64 x (fma.f64 x z -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z x -4) 2)) (*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)))) (fma.f64 x x (*.f64 (fma.f64 z x -4) (-.f64 (fma.f64 z x -4) x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 x z -4) 2) (*.f64 (+.f64 x (fma.f64 x z -4)) (+.f64 x (fma.f64 x z -4))))) y)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) (*.f64 y (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (fma.f64 z x -4) 2) (*.f64 (+.f64 x (fma.f64 z x -4)) (+.f64 x (fma.f64 z x -4))))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))))) |
(*.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) y) (fma.f64 x x (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x z -4) 3)) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4))) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 x z -4) 2) (*.f64 (+.f64 x (fma.f64 x z -4)) (+.f64 x (fma.f64 x z -4)))) (*.f64 x (*.f64 x (*.f64 (fma.f64 x z -4) (+.f64 x (fma.f64 x z -4)))))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) y) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (-.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z x -4) 3)) y) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (-.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) (*.f64 x x)))) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (fma.f64 z x -4) (+.f64 x (fma.f64 z x -4))) 3)))) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 1) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 2) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) 3) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3) 1/3) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(pow.f64 (/.f64 y (-.f64 x (fma.f64 x z -4))) -1) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(neg.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) (neg.f64 y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 2)) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)) |
(log.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y) 3)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(exp.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
Compiled 20902 to 9632 computations (53.9% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 787 | 10 | 797 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 790 | 10 | 800 |
| Status | Error | Program |
|---|---|---|
| ▶ | 5.1b | (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
| 29.0b | (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) | |
| 20.5b | (fabs.f64 (/.f64 (+.f64 4 x) y)) | |
| ▶ | 33.3b | (fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
| 43.0b | (fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z))) | |
| ▶ | 33.0b | (fabs.f64 (/.f64 4 y)) |
| 34.4b | (fabs.f64 (-.f64 (/.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 z (/.f64 y x)))) | |
| ▶ | 43.2b | (fabs.f64 (*.f64 (/.f64 (neg.f64 z) y) x)) |
| 41.9b | (fabs.f64 (*.f64 (/.f64 x y) (neg.f64 z))) | |
| ▶ | 41.9b | (fabs.f64 (neg.f64 (/.f64 z (/.f64 y x)))) |
Compiled 220 to 156 computations (29.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.8b | (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
Compiled 39 to 19 computations (51.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
| 0.0ms | z | @ | inf | (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
| 0.0ms | z | @ | -inf | (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
| 1× | batch-egg-rewrite |
| 1556× | associate-/l* |
| 1554× | associate-/r* |
| 1112× | distribute-lft-in |
| 448× | associate-/r/ |
| 442× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 235 | 25 |
| 2 | 3472 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y) |
| Outputs |
|---|
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(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))))))) |
| 1× | egg-herbie |
| 1170× | associate-*r/ |
| 1012× | *-commutative |
| 978× | associate-/l* |
| 830× | associate-*l/ |
| 462× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 3948 |
| 1 | 627 | 2938 |
| 2 | 2666 | 2828 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 z) x (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 x) z (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (*.f64 x z)) 1 (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 (/.f64 z y) x))) |
(+.f64 (/.f64 (+.f64 x 4) y) (*.f64 1 (neg.f64 (*.f64 (/.f64 z y) x)))) |
(+.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (neg.f64 (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (*.f64 (neg.f64 (*.f64 x z)) 1))) |
(+.f64 (neg.f64 (*.f64 (/.f64 z y) x)) (/.f64 (+.f64 x 4) y)) |
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (*.f64 (-.f64 4 (*.f64 x z)) 1))) |
(+.f64 (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z))) (*.f64 (/.f64 1 y) x)) |
(+.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) (+.f64 x (neg.f64 (*.f64 x z))))) |
(+.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) (-.f64 x (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 1 y) (neg.f64 (*.f64 x z))) (/.f64 (+.f64 x 4) y)) |
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 z y) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) 1) |
(*.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (/.f64 1 y)) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1) |
(*.f64 1 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) |
(*.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (*.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (*.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (/.f64 1 y) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (/.f64 -1 y)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y))) |
(*.f64 (/.f64 -1 y) (-.f64 -4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) y) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2))) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 y)) (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2))) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 y)) (+.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3))) (+.f64 (pow.f64 (+.f64 x 4) 2) (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 (+.f64 x 4) (*.f64 x z))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 y)) (-.f64 (*.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (+.f64 x 4) 2)) (*.f64 (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z))))))) (-.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 y)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 4) 2) 3) (pow.f64 (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (+.f64 x 4) 2)) (-.f64 (*.f64 (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z))))) (*.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))) |
(pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3) 1/3) |
(pow.f64 (/.f64 y (+.f64 4 (-.f64 x (*.f64 x z)))) -1) |
(neg.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
| Outputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (-.f64 1 z) (/.f64 y x)) |
(/.f64 (-.f64 x (*.f64 z x)) y) |
(/.f64 (fma.f64 (neg.f64 x) z x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (-.f64 1 z) (/.f64 y x)) |
(/.f64 (-.f64 x (*.f64 z x)) y) |
(/.f64 (fma.f64 (neg.f64 x) z x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 z) x (*.f64 x z)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 x) z (*.f64 x z)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (*.f64 x z)) 1 (*.f64 x z)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)) y)) |
(+.f64 (/.f64 (+.f64 4 x) y) (+.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)))) y) 0)) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) (*.f64 (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 z x)))) |
(+.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 z x)) y)) |
(+.f64 (/.f64 (+.f64 4 x) y) (+.f64 (/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) y) 0)) |
(+.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 (/.f64 z y) x))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 x 4) y) (*.f64 1 (neg.f64 (*.f64 (/.f64 z y) x)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (neg.f64 (*.f64 x z)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (*.f64 (neg.f64 (*.f64 x z)) 1))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (neg.f64 (*.f64 (/.f64 z y) x)) (/.f64 (+.f64 x 4) y)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (*.f64 (-.f64 4 (*.f64 x z)) 1))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z))) (*.f64 (/.f64 1 y) x)) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) (+.f64 x (neg.f64 (*.f64 x z))))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
(+.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) (-.f64 x (*.f64 x z)))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y) |
(/.f64 (+.f64 4 (fma.f64 (neg.f64 x) z x)) y) |
Compiled 12 to 9 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.8b | (/.f64 z (/.f64 y x)) |
Compiled 27 to 7 computations (74.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.9b | (*.f64 (/.f64 (neg.f64 z) y) x) |
Compiled 25 to 7 computations (72% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 (neg.f64 z) y) x) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 (neg.f64 z) y) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (neg.f64 z) y) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (neg.f64 z) y) x) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 (neg.f64 z) y) x) |
| 1× | batch-egg-rewrite |
| 1750× | add-sqr-sqrt |
| 1738× | *-un-lft-identity |
| 1612× | add-cube-cbrt |
| 1586× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 188 | 13 |
| 2 | 2594 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 z) y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1436× | distribute-rgt-in |
| 1422× | distribute-lft-in |
| 1192× | associate-/r/ |
| 866× | associate-*r* |
| 816× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 906 |
| 1 | 129 | 906 |
| 2 | 538 | 906 |
| 3 | 3738 | 906 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) 1) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(/.f64 1 (/.f64 y (*.f64 z x))) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 z x) 1) y) |
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(pow.f64 (/.f64 z (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3) 1/3) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 2)) |
(log.f64 (exp.f64 (/.f64 z (/.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 y x))))) |
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) |
(exp.f64 (log.f64 (/.f64 z (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) 1) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 1 (/.f64 y (*.f64 z x))) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(/.f64 (/.f64 (*.f64 z x) 1) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (/.f64 z (/.f64 y x)) 1) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) 2) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 3) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3) 1/3) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(/.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 2)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(log.f64 (exp.f64 (/.f64 z (/.f64 y x)))) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 y x))))) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(exp.f64 (log.f64 (/.f64 z (/.f64 y x)))) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y x))) 1)) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x)))) |
(/.f64 z (/.f64 y x)) |
(*.f64 z (/.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 z) x) |
| ✓ | 4.8b | (/.f64 (*.f64 (-.f64 1 z) x) y) |
Compiled 30 to 18 computations (40% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1 z) x) y) |
| 2.0ms | x | @ | -inf | (*.f64 (-.f64 1 z) x) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1 z) x) y) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 (-.f64 1 z) x) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1 z) x) y) |
| 1× | batch-egg-rewrite |
| 1462× | associate-*r/ |
| 1386× | associate-/r* |
| 1248× | associate-/l* |
| 1122× | associate-*l/ |
| 926× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 189 | 32 |
| 2 | 2566 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(*.f64 (-.f64 1 z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y) (sqrt.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 z) (/.f64 (cbrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 y)) (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) (/.f64 (cbrt.f64 y) x)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule 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(pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) y) (cbrt.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 y x)) (sqrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2))) (cbrt.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 y x)) (cbrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 z) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 1 (*.f64 x (sqrt.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (-.f64 1 z) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 1 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 1 (*.f64 x (cbrt.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (-.f64 1 z) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (+.f64 1 (fma.f64 z z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (/.f64 1 (sqrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 z z)))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 z 3)))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (neg.f64 z) (neg.f64 z)))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (neg.f64 z) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 z z)))) (neg.f64 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(+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 z z))) x) (neg.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 z 3))) x) (neg.f64 (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x))))))) |
| 1× | egg-herbie |
| 1436× | distribute-rgt-in |
| 1422× | distribute-lft-in |
| 1340× | associate-/r* |
| 1164× | associate-/r/ |
| 538× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 3956 |
| 1 | 793 | 3806 |
| 2 | 3266 | 3524 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)) |
(*.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y))) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (*.f64 (-.f64 1 z) x) (/.f64 1 y)) |
(*.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y)) |
(*.f64 (/.f64 1 y) (*.f64 (-.f64 1 z) x)) |
(*.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (/.f64 -1 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y) (sqrt.f64 (*.f64 (-.f64 1 z) x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) 1)) |
(*.f64 (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z))) (/.f64 1 (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (/.f64 (sqrt.f64 y) (-.f64 1 z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 z) (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (-.f64 1 z) (/.f64 (cbrt.f64 y) x)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (-.f64 1 z) y) x) |
(*.f64 (/.f64 (-.f64 1 z) y) (/.f64 x 1)) |
(*.f64 (/.f64 -1 y) (*.f64 (-.f64 1 z) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 1 z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1 z) y)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 z) (cbrt.f64 y))) |
(*.f64 (/.f64 (-.f64 1 z) (cbrt.f64 y)) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) y) (cbrt.f64 (*.f64 (-.f64 1 z) x))) |
(*.f64 (/.f64 (-.f64 1 z) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 y x)) (sqrt.f64 (-.f64 1 z))) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2))) (cbrt.f64 (*.f64 (-.f64 1 z) x))) |
(*.f64 (/.f64 (-.f64 1 z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 1 z) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 y x)) (cbrt.f64 (-.f64 1 z))) |
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3) 1/3) |
(pow.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) -1) |
(neg.f64 (/.f64 (-.f64 1 z) (/.f64 (neg.f64 y) x))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(+.f64 x (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 x (neg.f64 z)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 z)))) |
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1 z))) |
(/.f64 (-.f64 1 z) (/.f64 1 x)) |
(/.f64 x (/.f64 1 (-.f64 1 z))) |
(/.f64 (*.f64 (-.f64 1 z) x) 1) |
(/.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 1 (*.f64 x (sqrt.f64 (-.f64 1 z))))) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (-.f64 1 z) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 1 z) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 1 (*.f64 x (cbrt.f64 (-.f64 1 z))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (-.f64 1 z) (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 z) x)))) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 1 z) x)) |
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (+.f64 1 (fma.f64 z z z)) x)) |
(/.f64 (*.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 z)))) |
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (/.f64 1 (sqrt.f64 (-.f64 1 z)))) |
(/.f64 (*.f64 (-.f64 1 z) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 1 z)) |
(/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 z z)))) (+.f64 1 z)) |
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 z 3)))) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (*.f64 x (-.f64 1 (*.f64 (neg.f64 z) (neg.f64 z)))) (+.f64 1 z)) |
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (neg.f64 z) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 z z)))) (neg.f64 (+.f64 1 z))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (pow.f64 z 3)))) (neg.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 (*.f64 z z)))) (sqrt.f64 (+.f64 1 z))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))) (cbrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (cbrt.f64 (+.f64 1 z))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 z) (neg.f64 z))) x) (+.f64 1 z)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 z) 3)) x) (+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 z z))) x) (neg.f64 (+.f64 1 z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 z 3))) x) (neg.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z)) |
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 z))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z)) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 z))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 1 z))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))) (cbrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(pow.f64 (*.f64 (-.f64 1 z) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) x))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 z) x))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x))) |
| Outputs |
|---|
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (*.f64 (-.f64 1 z) x) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) 2)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 1 y) (*.f64 (-.f64 1 z) x)) |
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(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 z 3)))) (+.f64 1 (fma.f64 z z z))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 x (-.f64 1 (*.f64 (neg.f64 z) (neg.f64 z)))) (+.f64 1 z)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (neg.f64 z) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 z z)))) (neg.f64 (+.f64 1 z))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (pow.f64 z 3)))) (neg.f64 (+.f64 1 (fma.f64 z z z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 z z z))) (*.f64 x (sqrt.f64 (-.f64 1 z))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 (*.f64 z z)))) (sqrt.f64 (+.f64 1 z))) |
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 (-.f64 1 (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (-.f64 1 (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 z 3)))) (cbrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (-.f64 1 (pow.f64 z 3))))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (fma.f64 z z z)))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 (pow.f64 z 3))))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 (*.f64 z z)))) (cbrt.f64 (+.f64 1 z))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (/.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (-.f64 1 (*.f64 z z))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 (/.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (-.f64 1 (*.f64 z z)))) x)) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 z 1))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 z) (neg.f64 z))) x) (+.f64 1 z)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 z) 3)) x) (+.f64 1 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 z z))) x) (neg.f64 (+.f64 1 z))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 z 3))) x) (neg.f64 (+.f64 1 (fma.f64 z z z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 z z z))) (*.f64 x (sqrt.f64 (-.f64 1 z))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (-.f64 1 (pow.f64 z 3)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) (*.f64 x (sqrt.f64 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 z))) |
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 (-.f64 1 (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (-.f64 1 (*.f64 z z)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) 1) (+.f64 1 z)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 z))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 1 z))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1)) x) |
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 z 1) x)) |
(*.f64 x (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 z 1))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) 1) (+.f64 1 (fma.f64 z z z))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) (sqrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 z z z))) (cbrt.f64 (+.f64 1 (fma.f64 z z z))))) (cbrt.f64 (+.f64 1 (fma.f64 z z z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))) x) |
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z)))) |
(pow.f64 (*.f64 (-.f64 1 z) x) 1) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 2) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 3) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 z)) 2)) |
(fabs.f64 (-.f64 x (*.f64 x z))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) x)) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x)))) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3)) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) x))) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 z) x))) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x))) |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
Compiled 6336 to 3455 computations (45.5% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 6 | 413 |
| Fresh | 3 | 2 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 412 | 11 | 423 |
| Status | Error | Program |
|---|---|---|
| ▶ | 37.2b | (fabs.f64 (/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) (sqrt.f64 y))) |
| ✓ | 5.1b | (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
| 29.0b | (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) | |
| ▶ | 20.5b | (fabs.f64 (/.f64 (+.f64 4 x) y)) |
| ✓ | 33.3b | (fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
| ▶ | 46.3b | (fabs.f64 (/.f64 (*.f64 z x) y)) |
| 41.9b | (fabs.f64 (/.f64 z (/.f64 y x))) | |
| ▶ | 43.0b | (fabs.f64 (/.f64 x (/.f64 y z))) |
| ▶ | 48.6b | (fabs.f64 (/.f64 x y)) |
| ✓ | 33.0b | (fabs.f64 (/.f64 4 y)) |
| 41.9b | (fabs.f64 (*.f64 z (/.f64 x y))) |
Compiled 191 to 133 computations (30.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 4 x) y) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 4 x) y) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 4 x) y) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 4 x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 4 x) y) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 4 x) y) |
| 1× | batch-egg-rewrite |
| 1760× | add-sqr-sqrt |
| 1738× | *-un-lft-identity |
| 1638× | add-cube-cbrt |
| 1622× | add-cbrt-cube |
| 156× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 157 | 13 |
| 2 | 2096 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 4 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (sqrt.f64 (+.f64 4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (sqrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (cbrt.f64 (+.f64 4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 4 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) 1) (/.f64 (sqrt.f64 (+.f64 4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 4 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) y))))))) |
| 1× | egg-herbie |
| 1808× | associate-+r+ |
| 1078× | associate-+l+ |
| 666× | associate-*r/ |
| 542× | distribute-lft-neg-out |
| 472× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 904 |
| 1 | 217 | 880 |
| 2 | 870 | 664 |
| 3 | 4257 | 664 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) 1) |
(*.f64 (+.f64 4 x) (/.f64 1 y)) |
(*.f64 (/.f64 (+.f64 4 x) y) 1) |
(*.f64 1 (/.f64 (+.f64 4 x) y)) |
(*.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (sqrt.f64 (+.f64 4 x)) (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (sqrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (cbrt.f64 (+.f64 4 x)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (/.f64 1 y) (+.f64 4 x)) |
(*.f64 (neg.f64 (+.f64 4 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 x) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) 1) (/.f64 (sqrt.f64 (+.f64 4 x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 x)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(pow.f64 (/.f64 (+.f64 4 x) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3) 1/3) |
(pow.f64 (/.f64 y (+.f64 4 x)) -1) |
(neg.f64 (/.f64 (+.f64 4 x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 x) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 x) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 x) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) y))) |
| Outputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) 1) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (+.f64 4 x) (/.f64 1 y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (/.f64 (+.f64 4 x) y) 1) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 1 (/.f64 (+.f64 4 x) y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (sqrt.f64 (+.f64 4 x)) (/.f64 1 y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (sqrt.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (cbrt.f64 (+.f64 4 x)) (/.f64 1 y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (/.f64 1 y) (+.f64 4 x)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (neg.f64 (+.f64 4 x)) (/.f64 1 (neg.f64 y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 x) (sqrt.f64 y))) |
(/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (+.f64 4 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y))) |
(/.f64 (/.f64 (+.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (+.f64 4 x) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) 1) (/.f64 (sqrt.f64 (+.f64 4 x)) y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y))) |
(/.f64 (/.f64 (+.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (+.f64 4 x) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 x)) y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 x) (sqrt.f64 y))) |
(/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (+.f64 4 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 (/.f64 (+.f64 4 x) y))) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (/.f64 (+.f64 4 x) y) 1) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) 2) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 3) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3) 1/3) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(pow.f64 (/.f64 y (+.f64 4 x)) -1) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(neg.f64 (/.f64 (+.f64 4 x) (neg.f64 y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 2)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) y)))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 x) y)) 1)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
Compiled 12 to 5 computations (58.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.8b | (/.f64 x (/.f64 y z)) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 y z)) |
| 0.0ms | z | @ | -inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | y | @ | -inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | y | @ | inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | x | @ | -inf | (/.f64 x (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 1766× | add-sqr-sqrt |
| 1754× | *-un-lft-identity |
| 1636× | add-cube-cbrt |
| 1612× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 151 | 13 |
| 2 | 2155 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y)))))))) |
| 1× | egg-herbie |
| 1482× | associate-+r+ |
| 1336× | associate-+l+ |
| 1168× | associate-*r/ |
| 772× | associate-*l/ |
| 636× | associate-+l- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1266 |
| 1 | 293 | 1248 |
| 2 | 1090 | 1248 |
| 3 | 4879 | 1248 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (*.f64 x (/.f64 z y)) 1) |
(*.f64 1 (*.f64 x (/.f64 z y))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 z y))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 (/.f64 x y) z) |
(*.f64 (/.f64 z y) x) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 (/.f64 x y) 1) z) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) |
(*.f64 (/.f64 x 1) (/.f64 z y)) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) (/.f64 1 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y)))) |
(pow.f64 (*.f64 x (/.f64 z y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3) |
(pow.f64 (/.f64 y (*.f64 x z)) -1) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) z))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y)))) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1) |
(*.f64 z (/.f64 x y)) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (*.f64 x (/.f64 z y)) 1) |
(*.f64 z (/.f64 x y)) |
(*.f64 1 (*.f64 x (/.f64 z y))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 z y))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 z y) (cbrt.f64 x))) |
(*.f64 (/.f64 z y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 z (/.f64 (cbrt.f64 x) y))) |
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (/.f64 y z) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 x y) z) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) 1) z) |
(*.f64 z (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) |
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))) |
(*.f64 (/.f64 x 1) (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z)))) |
(/.f64 (/.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z))) |
(/.f64 x (*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z)))) |
(/.f64 (/.f64 x (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 z)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z))) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y z))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 z y) (cbrt.f64 x))) |
(*.f64 (/.f64 z y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 z (/.f64 (cbrt.f64 x) y))) |
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (/.f64 y z) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z)))) |
(/.f64 (/.f64 x (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) (/.f64 1 z))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 z y) (cbrt.f64 x))) |
(*.f64 (/.f64 z y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 z (/.f64 (cbrt.f64 x) y))) |
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (/.f64 y z) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z)))) (sqrt.f64 (/.f64 y z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) |
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2))) |
(pow.f64 (*.f64 x (/.f64 z y)) 1) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x z)) -1) |
(*.f64 z (/.f64 x y)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) z))) |
(*.f64 z (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2)) |
(*.f64 z (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y))) |
(*.f64 z (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y))))) |
(*.f64 z (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3)) |
(*.f64 z (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 z (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 z (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1)) |
(*.f64 z (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y)))) |
(*.f64 z (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 8.9b | (/.f64 (*.f64 z x) y) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 z x) y) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 z x) y) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 z x) y) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 z x) y) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 z x) y) |
| 1× | batch-egg-rewrite |
| 1630× | add-sqr-sqrt |
| 1618× | *-un-lft-identity |
| 1506× | add-cube-cbrt |
| 1482× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 145 | 13 |
| 2 | 1972 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x))))))) |
| 1× | egg-herbie |
| 1284× | associate-+r+ |
| 1184× | associate-+l+ |
| 1116× | associate-*r/ |
| 714× | associate-*l/ |
| 712× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 772 |
| 1 | 277 | 724 |
| 2 | 1013 | 724 |
| 3 | 4757 | 724 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1) |
(*.f64 z (*.f64 x (/.f64 1 y))) |
(*.f64 z (/.f64 1 (/.f64 y x))) |
(*.f64 x (*.f64 z (/.f64 1 y))) |
(*.f64 (*.f64 z x) (/.f64 1 y)) |
(*.f64 (*.f64 (/.f64 z y) x) 1) |
(*.f64 1 (*.f64 (/.f64 z y) x)) |
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 (/.f64 1 y) (*.f64 z x)) |
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 z x) (cbrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 z 1) (/.f64 x y)) |
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x 1) (/.f64 z y)) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 z y) x))) |
(pow.f64 (*.f64 (/.f64 z y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 y z) x) -1) |
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 z y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (*.f64 x (/.f64 1 y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 1 (/.f64 y x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (*.f64 z (/.f64 1 y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (*.f64 z x) (/.f64 1 y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 z y) x) 1) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 1 (*.f64 (/.f64 z y) x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 1 y) (*.f64 z x)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x))) |
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 z x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x))) |
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 z 1) (/.f64 x y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x))) |
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) |
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y))) |
(*.f64 (/.f64 x 1) (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 z (/.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (/.f64 (sqrt.f64 y) x))) |
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y)))) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 y y)))) |
(pow.f64 (*.f64 (/.f64 z y) x) 1) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 y z) x) -1) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(log.f64 (exp.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x)))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x))) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.1b | (/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 1.7b | (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) |
Compiled 61 to 21 computations (65.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | y | @ | -inf | (/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) (sqrt.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) |
| 0.0ms | y | @ | inf | (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 1124× | distribute-rgt-in |
| 1078× | distribute-lft-in |
| 936× | associate-/l/ |
| 878× | associate-/r/ |
| 304× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 294 | 54 |
| 2 | 4228 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) |
(/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) (sqrt.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -1/2) 4) (*.f64 (pow.f64 y -1/2) (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -1/2) (-.f64 x (*.f64 x z))) (*.f64 (pow.f64 y -1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -1/2) x) (*.f64 (pow.f64 y -1/2) (+.f64 4 (*.f64 x (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -1/2) (+.f64 4 x)) (*.f64 (pow.f64 y -1/2) (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (pow.f64 y -1/2)) (*.f64 (-.f64 x (*.f64 x z)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (*.f64 x z)) (pow.f64 y -1/2)) (*.f64 4 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 y -1/2)) (*.f64 (+.f64 4 (*.f64 x (neg.f64 z))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 x) (pow.f64 y -1/2)) (*.f64 (*.f64 x (neg.f64 z)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (*.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (*.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (+.f64 4 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (-.f64 -4 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (sqrt.f64 y)) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2))) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 16 (pow.f64 (-.f64 x (*.f64 x z)) 2)) (pow.f64 y -1/2)) (-.f64 16 (pow.f64 (-.f64 x (*.f64 x z)) 2))) (+.f64 4 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 16 (pow.f64 (-.f64 x (*.f64 x z)) 2)) (pow.f64 y -1/2)) (-.f64 64 (pow.f64 (-.f64 x (*.f64 x z)) 3))) (+.f64 16 (*.f64 (-.f64 x (*.f64 x z)) (+.f64 4 (-.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 64 (pow.f64 (-.f64 x (*.f64 x z)) 3)) (pow.f64 y -1/2)) (-.f64 256 (*.f64 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4)))))) (-.f64 16 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 64 (pow.f64 (-.f64 x (*.f64 x z)) 3)) (pow.f64 y -1/2)) (+.f64 4096 (pow.f64 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))) 3))) (+.f64 256 (-.f64 (*.f64 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4)))) (*.f64 16 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (+.f64 4 (-.f64 x (*.f64 x z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))))))) |
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y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))))))) |
| 1× | egg-herbie |
| 1322× | unswap-sqr |
| 1294× | associate-/r* |
| 1052× | associate-/l/ |
| 784× | associate-/r/ |
| 412× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 325 | 6481 |
| 1 | 872 | 5713 |
| 2 | 3454 | 5695 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(+.f64 (*.f64 (pow.f64 y -1/2) 4) (*.f64 (pow.f64 y -1/2) (-.f64 x (*.f64 x z)))) |
(+.f64 (*.f64 (pow.f64 y -1/2) (-.f64 x (*.f64 x z))) (*.f64 (pow.f64 y -1/2) 4)) |
(+.f64 (*.f64 (pow.f64 y -1/2) x) (*.f64 (pow.f64 y -1/2) (+.f64 4 (*.f64 x (neg.f64 z))))) |
(+.f64 (*.f64 (pow.f64 y -1/2) (+.f64 4 x)) (*.f64 (pow.f64 y -1/2) (*.f64 x (neg.f64 z)))) |
(+.f64 (*.f64 4 (pow.f64 y -1/2)) (*.f64 (-.f64 x (*.f64 x z)) (pow.f64 y -1/2))) |
(+.f64 (*.f64 (-.f64 x (*.f64 x z)) (pow.f64 y -1/2)) (*.f64 4 (pow.f64 y -1/2))) |
(+.f64 (*.f64 x (pow.f64 y -1/2)) (*.f64 (+.f64 4 (*.f64 x (neg.f64 z))) (pow.f64 y -1/2))) |
(+.f64 (*.f64 (+.f64 4 x) (pow.f64 y -1/2)) (*.f64 (*.f64 x (neg.f64 z)) (pow.f64 y -1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) 1) |
(-.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y))) |
(*.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 1) |
(*.f64 1 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (*.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 y -1/2))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (*.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (pow.f64 y -1/2) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (/.f64 1 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (-.f64 -4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (sqrt.f64 y)) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2))) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (*.f64 (-.f64 16 (pow.f64 (-.f64 x (*.f64 x z)) 2)) (pow.f64 y -1/2)) (-.f64 16 (pow.f64 (-.f64 x (*.f64 x z)) 2))) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (*.f64 (-.f64 16 (pow.f64 (-.f64 x (*.f64 x z)) 2)) (pow.f64 y -1/2)) (-.f64 64 (pow.f64 (-.f64 x (*.f64 x z)) 3))) (+.f64 16 (*.f64 (-.f64 x (*.f64 x z)) (+.f64 4 (-.f64 x (*.f64 x z)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 64 (pow.f64 (-.f64 x (*.f64 x z)) 3)) (pow.f64 y -1/2)) (-.f64 256 (*.f64 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4)))))) (-.f64 16 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))))) |
(*.f64 (/.f64 (*.f64 (+.f64 64 (pow.f64 (-.f64 x (*.f64 x z)) 3)) (pow.f64 y -1/2)) (+.f64 4096 (pow.f64 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))) 3))) (+.f64 256 (-.f64 (*.f64 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4)))) (*.f64 16 (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (+.f64 (*.f64 x z) 4))))))) |
(pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sqrt.f64 y) (+.f64 4 (-.f64 x (*.f64 x z)))) -1) |
(neg.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (neg.f64 (sqrt.f64 y)))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) 1) |
(-.f64 (/.f64 (+.f64 4 x) y) (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2))) |
(*.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (/.f64 1 y)) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1) |
(*.f64 1 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (pow.f64 y -1/2))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (*.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (*.f64 (pow.f64 y 1/4) (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (/.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (/.f64 1 y) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)))) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) y) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (sqrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y))) (-.f64 -4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) 1)) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2))) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3) 1/3) |
(pow.f64 (*.f64 1 (/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))) -1) |
(neg.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
| Outputs |
|---|
(*.f64 4 (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (-.f64 x (*.f64 z x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (-.f64 1 z) x)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (-.f64 x (*.f64 z x))) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) (sqrt.f64 (/.f64 1 y))) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 (-.f64 1 z) x) 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (fma.f64 (-.f64 1 z) x 4)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 4 x)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 z x)))) |
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(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (*.f64 (pow.f64 y 1/4) (sqrt.f64 y)))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 y 1/4)) (-.f64 (+.f64 4 x) (*.f64 z x))) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))) |
(/.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))) (pow.f64 y 1/4)) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (pow.f64 y 1/4) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (pow.f64 y 1/4) (pow.f64 y 1/4))) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (cbrt.f64 (sqrt.f64 y))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) |
(/.f64 (*.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (/.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 4 x) (*.f64 z x))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 z) x 4)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 y) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (*.f64 (pow.f64 y 1/4) (pow.f64 y 1/4))) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) (cbrt.f64 y)) (sqrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) 2) y)) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) (pow.f64 y 1/4))) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (*.f64 (/.f64 (pow.f64 y 1/4) (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y)))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) 2) y)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (cbrt.f64 y))) |
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))))) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)))) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) 2) y)) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) y) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2) y)) (sqrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) 2) y)) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2) y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (cbrt.f64 (sqrt.f64 y))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) |
(/.f64 (*.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y))) (-.f64 -4 (-.f64 x (*.f64 x z)))) |
(*.f64 (+.f64 (-.f64 -4 x) (*.f64 z x)) (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (+.f64 (*.f64 z x) (-.f64 -4 x)) (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) 1)) (+.f64 4 (-.f64 x (*.f64 x z)))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2))) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z))))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y))) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y))) |
(pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 3) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3) 1/3) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(pow.f64 (*.f64 1 (/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))) -1) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(neg.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) 2)) |
(fabs.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)) 3) (pow.f64 y 3/2))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) (sqrt.f64 y)) 3) (pow.f64 y 3/2))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y)) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 1)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (fma.f64 (-.f64 1 z) x 4) y) |
Compiled 6269 to 3225 computations (48.6% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 2 | 368 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 368 | 11 | 379 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.3b | (fabs.f64 (/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))) |
| ✓ | 5.1b | (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
| ▶ | 29.0b | (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
| ✓ | 20.5b | (fabs.f64 (/.f64 (+.f64 4 x) y)) |
| ✓ | 33.3b | (fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
| ✓ | 46.3b | (fabs.f64 (/.f64 (*.f64 z x) y)) |
| ▶ | 41.9b | (fabs.f64 (/.f64 z (/.f64 y x))) |
| ✓ | 43.0b | (fabs.f64 (/.f64 x (/.f64 y z))) |
| ✓ | 48.6b | (fabs.f64 (/.f64 x y)) |
| ✓ | 33.0b | (fabs.f64 (/.f64 4 y)) |
| ▶ | 41.9b | (fabs.f64 (*.f64 (/.f64 x y) z)) |
Compiled 107 to 76 computations (29% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.9b | (*.f64 (/.f64 x y) z) |
Compiled 20 to 6 computations (70% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.8b | (/.f64 z (/.f64 y x)) |
Compiled 20 to 6 computations (70% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.0b | (/.f64 (-.f64 1 z) (/.f64 y x)) |
Compiled 28 to 14 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 (-.f64 1 z) (/.f64 y x)) |
| 0.0ms | z | @ | inf | (/.f64 (-.f64 1 z) (/.f64 y x)) |
| 0.0ms | z | @ | -inf | (/.f64 (-.f64 1 z) (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 z) (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 1 z) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1050× | *-commutative |
| 1000× | associate-/r/ |
| 750× | associate-/l/ |
| 716× | unswap-sqr |
| 666× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 197 | 19 |
| 2 | 2847 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 z) (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 834× | unswap-sqr |
| 486× | distribute-lft-neg-in |
| 482× | *-commutative |
| 454× | distribute-rgt-neg-out |
| 448× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 4660 |
| 1 | 923 | 3684 |
| 2 | 3375 | 3684 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(+.f64 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y))) |
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z))) |
(+.f64 (/.f64 x y) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1)) |
(+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (/.f64 x y)) |
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y))) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 x y))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 z) y))) |
(*.f64 (/.f64 (-.f64 1 z) y) x) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 z 1))) |
(*.f64 (+.f64 z -1) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 1 z) (neg.f64 y))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 1 (neg.f64 y)) (/.f64 z (neg.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y)) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 z) y)) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 x y)) (sqrt.f64 (-.f64 1 z))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) |
(*.f64 (*.f64 (-.f64 1 z) x) (/.f64 1 y)) |
(*.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (*.f64 1 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (-.f64 1 z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 1 y) (*.f64 (-.f64 1 z) x)) |
(*.f64 (/.f64 1 y) (-.f64 x (*.f64 (/.f64 z 1) x))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (-.f64 1 z) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (*.f64 (-.f64 1 z) (cbrt.f64 (/.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (/.f64 (-.f64 1 z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 (-.f64 1 z) (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) y) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) y) x) (sqrt.f64 (-.f64 1 z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) y) x) (/.f64 (sqrt.f64 (-.f64 1 z)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) y) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) 1) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) 1) x) (/.f64 (sqrt.f64 (-.f64 1 z)) y)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 z)) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (cbrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 (-.f64 1 z)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) y) x)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) y) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) y) (*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) 1) x)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) 1) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (-.f64 1 z)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 z)) (sqrt.f64 (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (+.f64 z -1)) |
(*.f64 (/.f64 (-.f64 1 z) -1) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 1 (/.f64 y (*.f64 (sqrt.f64 (-.f64 1 z)) x))) (sqrt.f64 (-.f64 1 z))) |
(*.f64 (/.f64 1 (/.f64 y (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) x))) (cbrt.f64 (-.f64 1 z))) |
(*.f64 (/.f64 (-.f64 1 z) (/.f64 y 1)) x) |
(*.f64 (/.f64 (-.f64 1 z) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (-.f64 1 z) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (/.f64 y x)) (cbrt.f64 (-.f64 1 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) y) 1) x) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) y) 1) (/.f64 x 1)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) y) -1) (neg.f64 x)) |
(*.f64 (/.f64 (+.f64 z -1) -1) (/.f64 x y)) |
(*.f64 (/.f64 (+.f64 z -1) y) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x y)) (-.f64 1 (*.f64 z z))) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x y)) (+.f64 1 (pow.f64 z 3))) (-.f64 (+.f64 1 (*.f64 z z)) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (-.f64 1 (*.f64 (fma.f64 z z z) (fma.f64 z z z)))) (-.f64 1 (fma.f64 z z z))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (pow.f64 (fma.f64 z z z) 3))) (+.f64 1 (*.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) 1)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) 1) (sqrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) 1) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 y)) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) 1) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) y) (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (/.f64 y x)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 y y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (neg.f64 y)) (*.f64 (/.f64 x y) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 y (/.f64 y x))) x) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 (/.f64 y x) (neg.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 y (neg.f64 y))) (*.f64 x (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (-.f64 1 z))) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (-.f64 1 z)))) |
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 y x) (-.f64 1 z)) -1) |
(neg.f64 (/.f64 (-.f64 1 z) (/.f64 y (neg.f64 x)))) |
(neg.f64 (*.f64 (-.f64 1 z) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 z) (/.f64 y (neg.f64 x))) 1)) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 z) (/.f64 y (neg.f64 x))))) |
(neg.f64 (/.f64 (+.f64 z -1) (/.f64 y x))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (/.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 y x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
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(*.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 y x)) (-.f64 1 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y x))))) |
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 y)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 1 z) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 1 z) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (neg.f64 y)))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) 1) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (*.f64 (-.f64 1 z) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (-.f64 1 z) (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 y)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) |
(*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 z) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 1 z) (*.f64 (cbrt.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 1 z) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 z) (cbrt.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) 1) (*.f64 (/.f64 x y) (/.f64 x y))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) y) (*.f64 x (/.f64 x y))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (/.f64 y x)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 y y)) (*.f64 x x)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (neg.f64 y)) (*.f64 (/.f64 x y) (neg.f64 x))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 y (/.f64 y x))) x) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 (/.f64 y x) (neg.f64 y))) (neg.f64 x)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 1 z)) (*.f64 y (neg.f64 y))) (*.f64 x (neg.f64 x))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(*.f64 (-.f64 1 z) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(*.f64 (-.f64 1 z) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (-.f64 1 z))) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (-.f64 1 z)))) |
(*.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(*.f64 (-.f64 1 z) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 3) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3) 1/3) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(pow.f64 (/.f64 (/.f64 y x) (-.f64 1 z)) -1) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(neg.f64 (/.f64 (-.f64 1 z) (/.f64 y (neg.f64 x)))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(neg.f64 (*.f64 (-.f64 1 z) (/.f64 (neg.f64 x) y))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 z) (/.f64 y (neg.f64 x))) 1)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 z) (/.f64 y (neg.f64 x))))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(neg.f64 (/.f64 (+.f64 z -1) (/.f64 y x))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (/.f64 x y))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3)) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 y x) 3))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 4 x) (sqrt.f64 y)) |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y)) |
Compiled 36 to 19 computations (47.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 4 x) (sqrt.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y)) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 4 x) (sqrt.f64 y)) |
| 0.0ms | y | @ | inf | (/.f64 (+.f64 4 x) (sqrt.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 4 x) (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 1798× | associate-/l* |
| 1062× | *-commutative |
| 646× | associate-/l/ |
| 594× | associate-/r/ |
| 428× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 219 | 30 |
| 2 | 3003 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1554× | associate-/r* |
| 1350× | associate-/l/ |
| 978× | associate-/r/ |
| 876× | distribute-lft-neg-out |
| 426× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 320 | 4931 |
| 1 | 853 | 4653 |
| 2 | 3696 | 4653 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(*.f64 -1 (/.f64 (+.f64 4 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (+.f64 4 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (+.f64 4 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (+.f64 4 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 4 (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) x) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) x) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 4 (sqrt.f64 (/.f64 1 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) 1) |
(*.f64 (+.f64 4 x) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2))) |
(*.f64 (+.f64 4 x) (/.f64 1 y)) |
(*.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (+.f64 4 x) y) 1) |
(*.f64 1 (/.f64 (+.f64 4 x) y)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (pow.f64 y -1/2))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (sqrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (cbrt.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (+.f64 4 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)) (+.f64 4 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (pow.f64 y -1/2)) (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (pow.f64 y -1/2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y))) |
(*.f64 (/.f64 (+.f64 4 x) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (/.f64 (+.f64 4 x) (pow.f64 y 1/4)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 (+.f64 4 x) (pow.f64 y 1/4)) (sqrt.f64 y)) (/.f64 1 (pow.f64 y 1/4))) |
(*.f64 (/.f64 (/.f64 (+.f64 4 x) (cbrt.f64 y)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (/.f64 (-.f64 -4 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) 1) (/.f64 (sqrt.f64 (+.f64 4 x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 x)) y)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) y) (sqrt.f64 (+.f64 4 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) y) (/.f64 (sqrt.f64 (+.f64 4 x)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) y) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (/.f64 1 y) (+.f64 4 x)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)) (/.f64 (+.f64 4 x) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y))) (/.f64 (+.f64 4 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (+.f64 4 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 y)) (/.f64 (+.f64 4 x) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (sqrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 4 x)))) (sqrt.f64 (+.f64 4 x))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)))) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) y) (cbrt.f64 (+.f64 4 x))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (neg.f64 (sqrt.f64 y))) (-.f64 -4 x)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) 1)) (+.f64 4 x)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 4 x)) 2))) (cbrt.f64 (+.f64 4 x))) |
(pow.f64 (/.f64 (+.f64 4 x) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3) 1/3) |
(pow.f64 (/.f64 y (+.f64 4 x)) -1) |
(neg.f64 (/.f64 (+.f64 4 x) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)) (pow.f64 y -1/2))) |
(neg.f64 (*.f64 (/.f64 (+.f64 4 x) (neg.f64 y)) 1)) |
(neg.f64 (*.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y))))) |
(neg.f64 (*.f64 1 (/.f64 (+.f64 4 x) (neg.f64 y)))) |
(neg.f64 (*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 x) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 y 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) y))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 x) y))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) y))) |
(+.f64 (*.f64 (pow.f64 y -1/2) 4) (*.f64 (pow.f64 y -1/2) x)) |
(+.f64 (*.f64 (pow.f64 y -1/2) x) (*.f64 (pow.f64 y -1/2) 4)) |
(+.f64 (*.f64 4 (pow.f64 y -1/2)) (*.f64 x (pow.f64 y -1/2))) |
(+.f64 (*.f64 x (pow.f64 y -1/2)) (*.f64 4 (pow.f64 y -1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) 1) |
(*.f64 (+.f64 4 x) (pow.f64 y -1/2)) |
(*.f64 (+.f64 4 x) (neg.f64 (neg.f64 (pow.f64 y -1/2)))) |
(*.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 1) |
(*.f64 1 (/.f64 (+.f64 4 x) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (+.f64 4 x)) (*.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 y -1/2))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (sqrt.f64 (+.f64 4 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 4 x) y)) (/.f64 (sqrt.f64 (+.f64 4 x)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (*.f64 (cbrt.f64 (+.f64 4 x)) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))))) |
(*.f64 (pow.f64 y -1/2) (+.f64 4 x)) |
(*.f64 (-.f64 -4 x) (neg.f64 (pow.f64 y -1/2))) |
(*.f64 (-.f64 -4 x) (/.f64 1 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))) (cbrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 4 x)) (pow.f64 y -1/2)) (sqrt.f64 (+.f64 4 x))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 4 x)) (pow.f64 y -1/2)) (pow.f64 (cbrt.f64 (+.f64 4 x)) 2)) |
(*.f64 (/.f64 (+.f64 4 x) (pow.f64 y 1/4)) (/.f64 1 (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (+.f64 4 x) (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (+.f64 4 x) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (+.f64 4 x) (cbrt.f64 (sqrt.f64 y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 -1 (/.f64 (-.f64 -4 x) (sqrt.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))))) |
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (-.f64 -4 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) 1) (sqrt.f64 (/.f64 (+.f64 4 x) y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (+.f64 4 x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (+.f64 4 x)) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 4 x)) (pow.f64 y 1/4)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 x)) 2) (sqrt.f64 y)) (cbrt.f64 (+.f64 4 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (pow.f64 y -1/2)) (-.f64 16 (*.f64 x x))) (+.f64 4 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 16 (*.f64 x x)) (pow.f64 y -1/2)) (-.f64 64 (pow.f64 x 3))) (+.f64 16 (*.f64 x (+.f64 4 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y -1/2) (+.f64 64 (pow.f64 x 3))) (-.f64 256 (*.f64 (*.f64 x (-.f64 x 4)) (*.f64 x (-.f64 x 4))))) (-.f64 16 (*.f64 x (-.f64 x 4)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y -1/2) (+.f64 64 (pow.f64 x 3))) (+.f64 4096 (pow.f64 (*.f64 x (-.f64 x 4)) 3))) (+.f64 256 (*.f64 (*.f64 x (-.f64 x 4)) (-.f64 (*.f64 x (-.f64 x 4)) 16)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)))) (sqrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))) (cbrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))))) (cbrt.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))))) (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)))) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sqrt.f64 y) (+.f64 4 x)) -1) |
(neg.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
| Outputs |
|---|
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))))) (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)))) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 1) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) 2) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))) 3) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 3) 1/3) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(pow.f64 (/.f64 (sqrt.f64 y) (+.f64 4 x)) -1) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(neg.f64 (/.f64 (-.f64 -4 x) (sqrt.f64 y))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 2) y)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y))))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) 3)) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(exp.f64 (log.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)))) |
(/.f64 (+.f64 4 x) (sqrt.f64 y)) |
Compiled 7385 to 4104 computations (44.4% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 0 | 507 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 507 | 11 | 518 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.3b | (fabs.f64 (/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))) |
| ✓ | 5.1b | (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
| ✓ | 29.0b | (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
| ✓ | 20.5b | (fabs.f64 (/.f64 (+.f64 4 x) y)) |
| ✓ | 33.3b | (fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
| ✓ | 46.3b | (fabs.f64 (/.f64 (*.f64 z x) y)) |
| ✓ | 41.9b | (fabs.f64 (/.f64 z (/.f64 y x))) |
| ✓ | 43.0b | (fabs.f64 (/.f64 x (/.f64 y z))) |
| ✓ | 48.6b | (fabs.f64 (/.f64 x y)) |
| ✓ | 33.0b | (fabs.f64 (/.f64 4 y)) |
| ✓ | 41.9b | (fabs.f64 (*.f64 (/.f64 x y) z)) |
Compiled 107 to 76 computations (29% saved)
| Inputs |
|---|
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (*.f64 (/.f64 x y) z)) |
(fabs.f64 (/.f64 x (/.f64 y z))) |
(fabs.f64 (/.f64 z (/.f64 y x))) |
(fabs.f64 (/.f64 (*.f64 z x) y)) |
(fabs.f64 (/.f64 (+.f64 4 x) y)) |
(fabs.f64 (neg.f64 (/.f64 z (/.f64 y x)))) |
(fabs.f64 (*.f64 (/.f64 x y) (neg.f64 z))) |
(fabs.f64 (*.f64 (/.f64 (neg.f64 z) y) x)) |
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z))) |
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) |
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) |
(fabs.f64 (/.f64 (/.f64 (+.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))) |
(fabs.f64 (/.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) (sqrt.f64 y)) (sqrt.f64 y))) |
(fabs.f64 (-.f64 (/.f64 (/.f64 (+.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 z (/.f64 y x)))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
5 calls:
| 35.0ms | x |
| 24.0ms | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| 23.0ms | y |
| 22.0ms | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| 21.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
| 0.8b | 1 | y |
| 0.8b | 1 | z |
| 0.8b | 1 | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| 0.8b | 1 | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
Compiled 215 to 111 computations (48.4% saved)
| Inputs |
|---|
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (*.f64 (/.f64 x y) z)) |
(fabs.f64 (/.f64 x (/.f64 y z))) |
(fabs.f64 (/.f64 z (/.f64 y x))) |
(fabs.f64 (/.f64 (*.f64 z x) y)) |
(fabs.f64 (/.f64 (+.f64 4 x) y)) |
(fabs.f64 (neg.f64 (/.f64 z (/.f64 y x)))) |
(fabs.f64 (*.f64 (/.f64 x y) (neg.f64 z))) |
(fabs.f64 (*.f64 (/.f64 (neg.f64 z) y) x)) |
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z))) |
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) |
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
3 calls:
| 71.0ms | z |
| 46.0ms | x |
| 19.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 5.1b | 1 | y |
| 2.8b | 2 | z |
Compiled 113 to 59 computations (47.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 1.8018678393945994e+23 | 7.183156107962199e+28 |
| 11.0ms | -1.3068622845067617e+39 | -1.0310190176156514e+39 |
| 39.0ms | 192× | body | 256 | valid |
| 3.0ms | 19× | body | 256 | infinite |
Compiled 333 to 243 computations (27% saved)
| Inputs |
|---|
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (*.f64 (/.f64 x y) z)) |
(fabs.f64 (/.f64 x (/.f64 y z))) |
(fabs.f64 (/.f64 z (/.f64 y x))) |
(fabs.f64 (/.f64 (*.f64 z x) y)) |
(fabs.f64 (/.f64 (+.f64 4 x) y)) |
(fabs.f64 (neg.f64 (/.f64 z (/.f64 y x)))) |
(fabs.f64 (*.f64 (/.f64 x y) (neg.f64 z))) |
(fabs.f64 (*.f64 (/.f64 (neg.f64 z) y) x)) |
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z))) |
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y)) |
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) |
| Outputs |
|---|
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (/.f64 (+.f64 4 x) y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
3 calls:
| 134.0ms | y |
| 78.0ms | z |
| 60.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.1b | 3 | x |
| 13.8b | 8 | y |
| 7.0b | 3 | z |
Compiled 103 to 54 computations (47.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.2232390858291713e+70 | 1.3636751323900246e+70 |
| 21.0ms | -3.631877922700409e+66 | -3.7420786561982056e+65 |
| 24.0ms | 128× | body | 256 | valid |
| 1.0ms | 4× | body | 256 | infinite |
Compiled 181 to 135 computations (25.4% saved)
| Inputs |
|---|
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (*.f64 (/.f64 x y) z)) |
(fabs.f64 (/.f64 x (/.f64 y z))) |
(fabs.f64 (/.f64 z (/.f64 y x))) |
(fabs.f64 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 z (/.f64 y x))) |
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (/.f64 x y)) |
3 calls:
| 112.0ms | y |
| 54.0ms | z |
| 50.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 4 | x |
| 26.1b | 7 | y |
| 17.8b | 5 | z |
Compiled 53 to 30 computations (43.4% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.0815857591892463e+202 | 6.074778474179337e+206 |
| 20.0ms | 8.127232100020447e-108 | 5.543577169841857e-107 |
| 68.0ms | -4.320274242193597e-19 | -3.9379201283548e-24 |
| 108.0ms | 368× | body | 256 | valid |
| 15.0ms | 84× | body | 256 | infinite |
Compiled 435 to 329 computations (24.4% saved)
| Inputs |
|---|
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (*.f64 (/.f64 x y) z)) |
(fabs.f64 (/.f64 x (/.f64 y z))) |
| Outputs |
|---|
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (*.f64 z (/.f64 x y))) |
(fabs.f64 (/.f64 x y)) |
3 calls:
| 70.0ms | y |
| 54.0ms | x |
| 50.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 4 | x |
| 26.1b | 7 | y |
| 17.8b | 5 | z |
Compiled 41 to 24 computations (41.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 1.0815857591892463e+202 | 6.074778474179337e+206 |
| 20.0ms | 8.127232100020447e-108 | 5.543577169841857e-107 |
| 36.0ms | -4.320274242193597e-19 | -3.9379201283548e-24 |
| 83.0ms | 368× | body | 256 | valid |
| 10.0ms | 56× | body | 256 | infinite |
Compiled 435 to 329 computations (24.4% saved)
Total -40.2b remaining (-194.2%)
Threshold costs -40.2b (-194.2%)
| Inputs |
|---|
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
| Outputs |
|---|
(fabs.f64 (/.f64 x y)) |
(fabs.f64 (/.f64 4 y)) |
(fabs.f64 (/.f64 x y)) |
3 calls:
| 38.0ms | z |
| 18.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.7b | 3 | x |
| 33.0b | 1 | y |
| 31.4b | 3 | z |
Compiled 23 to 17 computations (26.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 2.961984101744012e-7 | 1384043.304945914 |
| 43.0ms | -89210.72531653638 | -4.320274242193597e-19 |
| 66.0ms | 336× | body | 256 | valid |
| 4.0ms | 20× | body | 256 | infinite |
Compiled 357 to 288 computations (19.3% saved)
| 1× | egg-herbie |
| 32× | +-commutative |
| 24× | *-commutative |
| 22× | sub-neg |
| 14× | neg-mul-1 |
| 14× | fabs-div |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 395 |
| 1 | 113 | 395 |
| 2 | 143 | 395 |
| 3 | 161 | 395 |
| 4 | 177 | 395 |
| 5 | 182 | 395 |
| 6 | 183 | 395 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(if (<=.f64 x -1300000000000000027402925499364184948736) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 31000000000000000686792114176) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))))) |
(if (<=.f64 z -1219999999999999929551803127694771582764335643672237937773139460096) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 13499999999999999829802735501228030434377784167496158685441495461265408) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (*.f64 z (/.f64 x y))))) |
(if (<=.f64 x -4309606392583907/10384593717069655257060992658440192) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 4544759785432959/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 13499999999999999761361307570255353983574020315432779702982434050947039962621924421245644840108061678715714901029845539149173759738597920337222368590243700123634577999324600166535551463658392485562941440) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 x y))))) |
(if (<=.f64 x -1595073594941899/5316911983139663491615228241121378304) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 4544759785432959/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 64999999999999995789126062155149283001022128426949053881155808838742607888658109338722983110819190383995473502054520899929860477434160726191649154435670541350352943883348513566524890640307676565657878528) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 x y))))) |
(if (<=.f64 x -3/2) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y)))) |
(fabs.f64 (/.f64 4 y)) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(if (<=.f64 x -1300000000000000027402925499364184948736) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 31000000000000000686792114176) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))))) |
(if (or (<=.f64 x -1300000000000000027402925499364184948736) (not (<=.f64 x 31000000000000000686792114176))) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) |
(if (<=.f64 z -1219999999999999929551803127694771582764335643672237937773139460096) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 13499999999999999829802735501228030434377784167496158685441495461265408) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (*.f64 z (/.f64 x y))))) |
(if (or (<=.f64 z -1219999999999999929551803127694771582764335643672237937773139460096) (not (<=.f64 z 13499999999999999829802735501228030434377784167496158685441495461265408))) (fabs.f64 (*.f64 (/.f64 x y) z)) (fabs.f64 (/.f64 (+.f64 x 4) y))) |
(if (<=.f64 x -4309606392583907/10384593717069655257060992658440192) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 4544759785432959/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 13499999999999999761361307570255353983574020315432779702982434050947039962621924421245644840108061678715714901029845539149173759738597920337222368590243700123634577999324600166535551463658392485562941440) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 x y))))) |
(if (<=.f64 x -4309606392583907/10384593717069655257060992658440192) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 4544759785432959/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 13499999999999999761361307570255353983574020315432779702982434050947039962621924421245644840108061678715714901029845539149173759738597920337222368590243700123634577999324600166535551463658392485562941440) (fabs.f64 (*.f64 (/.f64 x y) z)) (fabs.f64 (/.f64 x y))))) |
(if (<=.f64 x -1595073594941899/5316911983139663491615228241121378304) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 4544759785432959/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 64999999999999995789126062155149283001022128426949053881155808838742607888658109338722983110819190383995473502054520899929860477434160726191649154435670541350352943883348513566524890640307676565657878528) (fabs.f64 (*.f64 z (/.f64 x y))) (fabs.f64 (/.f64 x y))))) |
(if (<=.f64 x -1595073594941899/5316911983139663491615228241121378304) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 4544759785432959/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 64999999999999995789126062155149283001022128426949053881155808838742607888658109338722983110819190383995473502054520899929860477434160726191649154435670541350352943883348513566524890640307676565657878528) (fabs.f64 (*.f64 (/.f64 x y) z)) (fabs.f64 (/.f64 x y))))) |
(if (<=.f64 x -3/2) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y)))) |
(if (or (<=.f64 x -3/2) (not (<=.f64 x 4))) (fabs.f64 (/.f64 x y)) (/.f64 4 (fabs.f64 y))) |
(fabs.f64 (/.f64 4 y)) |
(/.f64 4 (fabs.f64 y)) |
Compiled 166 to 110 computations (33.7% saved)
| 3× | egg-herbie |
| 1694× | associate-+r+ |
| 1238× | distribute-lft-in |
| 1172× | fma-def |
| 1152× | distribute-rgt-in |
| 1012× | +-commutative |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 24 | 35 |
| 2 | 48 | 35 |
| 3 | 88 | 35 |
| 4 | 140 | 31 |
| 5 | 283 | 31 |
| 6 | 511 | 31 |
| 7 | 982 | 31 |
| 8 | 2079 | 25 |
| 9 | 4005 | 25 |
| 10 | 4865 | 25 |
| 11 | 5761 | 25 |
| 12 | 6034 | 25 |
| 13 | 6034 | 25 |
| 0 | 163 | 2968 |
| 1 | 454 | 2792 |
| 2 | 1789 | 2422 |
| 0 | 541 | 12517 |
| 1 | 1517 | 10519 |
| 2 | 7085 | 10519 |
| 1× | node limit |
| 1× | node limit |
| 1× | saturated |
Compiled 564 to 325 computations (42.4% saved)
Compiled 148 to 77 computations (48% saved)
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