Time bar (total: 7.1s)
| 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 |
| 6.3% | 6.2% | 93.6% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 20.3% | 20.3% | 79.6% | 0.1% | 0% | 0% | 0% | 8 |
| 35.5% | 35.5% | 64.4% | 0.1% | 0% | 0% | 0% | 9 |
| 40% | 40% | 59.9% | 0.1% | 0% | 0% | 0% | 10 |
| 50.6% | 50.5% | 49.3% | 0.1% | 0% | 0% | 0% | 11 |
| 63.5% | 63.4% | 36.4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 16 to 11 computations (31.3% saved)
| 1.4s | 8256× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
| 2× | egg-herbie |
| 1322× | associate--l- |
| 998× | associate--r- |
| 850× | fma-def |
| 674× | associate-/r* |
| 660× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 140 |
| 1 | 60 | 140 |
| 2 | 92 | 140 |
| 3 | 131 | 140 |
| 4 | 206 | 140 |
| 5 | 390 | 140 |
| 6 | 606 | 140 |
| 7 | 881 | 140 |
| 8 | 1371 | 140 |
| 9 | 2041 | 124 |
| 10 | 2793 | 124 |
| 11 | 4365 | 124 |
| 12 | 6708 | 124 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 y z)))) |
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000)))) |
(-.f64 z (/.f64 y (fma.f64 (exp.f64 x) -5641895835477563/5000000000000000 (*.f64 y z)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
(-.f64 x (/.f64 z (fma.f64 (exp.f64 y) -5641895835477563/5000000000000000 (*.f64 x z)))) |
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000)))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 1102× | fma-def |
| 936× | associate--r- |
| 832× | associate--l- |
| 754× | associate-*r* |
| 712× | associate-*l* |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 23 | 35 |
| 2 | 36 | 35 |
| 3 | 54 | 35 |
| 4 | 80 | 35 |
| 5 | 132 | 35 |
| 6 | 228 | 35 |
| 7 | 327 | 35 |
| 8 | 453 | 35 |
| 9 | 683 | 31 |
| 10 | 860 | 31 |
| 11 | 1256 | 31 |
| 12 | 2219 | 31 |
| 13 | 4681 | 31 |
| 14 | 5972 | 31 |
| 15 | 7568 | 31 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
Compiled 37 to 21 computations (43.2% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.7b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ▶ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
Compiled 29 to 20 computations (31% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
| ✓ | 0.0b | (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) |
| ✓ | 0.1b | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| ✓ | 0.2b | (/.f64 -5641895835477563/5000000000000000 y) |
Compiled 40 to 22 computations (45% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
| 1.0ms | z | @ | 0 | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1.0ms | x | @ | 0 | (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) |
| 1.0ms | z | @ | inf | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | inf | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1× | batch-egg-rewrite |
| 1564× | associate-*r/ |
| 1044× | associate-*l/ |
| 638× | associate-/r* |
| 580× | distribute-rgt-in |
| 558× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 82 |
| 1 | 295 | 82 |
| 2 | 3644 | 82 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -5641895835477563/5000000000000000 y) |
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) |
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5641895835477563/5000000000000000 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 -5641895835477563/5000000000000000 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (/.f64 -1 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (*.f64 x x))) (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3))) (+.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (exp.f64 z) 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egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) x))))) |
| 1× | egg-herbie |
| 1064× | +-commutative |
| 966× | associate-+r+ |
| 758× | associate-*r* |
| 696× | associate-*l* |
| 610× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 516 | 15536 |
| 1 | 1440 | 14538 |
| 2 | 7225 | 14538 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
x |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)))) (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 2)) (cbrt.f64 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) (/.f64 1 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (+.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2)) 3)) (/.f64 1 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (/.f64 (*.f64 (*.f64 x x) 1) (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) (-.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3)) (*.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))) 1) (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (sqrt.f64 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (sqrt.f64 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (*.f64 (cbrt.f64 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) (cbrt.f64 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (cbrt.f64 (-.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))) 1) (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (-.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x))))) |
(pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(fma.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x) |
(fma.f64 1 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) x) |
| Outputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z)))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (*.f64 z z) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (*.f64 -1 (+.f64 (*.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 y (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 (/.f64 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))))) (pow.f64 z 3)) (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z))))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 -1 (fma.f64 (+.f64 (/.f64 (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 y y)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 y (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (/.f64 (/.f64 5641895835477563/30000000000000000 y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (pow.f64 z 3) (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z))) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
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(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 3) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3) 1/3) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)) |
(fabs.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 1)) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 1 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) x) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) x) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) x) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| ✓ | 0.0b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ✓ | 1.0b | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
| ✓ | 6.5b | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
Compiled 46 to 20 computations (56.5% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | -inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 0.0ms | y | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1× | batch-egg-rewrite |
| 1516× | associate-*l/ |
| 1048× | associate-/r* |
| 922× | associate-/l* |
| 424× | associate-+l+ |
| 306× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 98 |
| 1 | 288 | 98 |
| 2 | 4027 | 98 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 z)) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))))) |
| 1× | egg-herbie |
| 892× | associate-*r* |
| 854× | associate-/l* |
| 738× | associate-*l* |
| 666× | +-commutative |
| 546× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 783 | 23986 |
| 1 | 2210 | 22940 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
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(*.f64 -1 (*.f64 y x)) |
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(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) 2)) (sqrt.f64 (-.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) (sqrt.f64 (-.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) 2)) (*.f64 (cbrt.f64 (-.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) (cbrt.f64 (-.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))))) (cbrt.f64 (-.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) 2)) (+.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) 3)) 1) (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x))))) |
(pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(fma.f64 y (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(fma.f64 1 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(fma.f64 1 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) 1) |
(pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 3) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(log.f64 (pow.f64 (exp.f64 (exp.f64 z)) 5641895835477563/5000000000000000)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) |
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000))) |
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3))) (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3))) (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 z) 2) -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))) (/.f64 1 x)) |
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x (pow.f64 (*.f64 y x) 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 z) 2) -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 -1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 z) 2) -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))) (/.f64 1 x)) |
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x (pow.f64 (*.f64 y x) 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 z) 2) -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 -1 x)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 (*.f64 5641895835477563/10000000000000000 y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) x)))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (-.f64 (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) x))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) 3)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) x))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) (-.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x))) x)))))) |
(pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 1) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) 2) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) 3) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 3) 1/3) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 3)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))) 1)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 y (/.f64 1 (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 1 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 1 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) 1) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) 1) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2) |
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2) |
(pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 3) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) |
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(log.f64 (pow.f64 (exp.f64 (exp.f64 z)) 5641895835477563/5000000000000000)) |
(*.f64 5641895835477563/5000000000000000 (log.f64 (exp.f64 (exp.f64 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000))) |
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1)) |
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000))) |
(log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
Compiled 27261 to 14088 computations (48.3% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 6 | 839 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 835 | 6 | 841 |
| Status | Error | Program |
|---|---|---|
| ▶ | 11.8b | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ▶ | 18.7b | (-.f64 x (/.f64 1 x)) |
| ▶ | 11.8b | (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| ▶ | 24.5b | (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
| ▶ | 21.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| 18.7b | x |
Compiled 112 to 79 computations (29.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ✓ | 0.0b | (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
| ✓ | 0.1b | (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.2b | (/.f64 -5641895835477563/5000000000000000 y) |
Compiled 31 to 21 computations (32.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | y | @ | inf | (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| 1× | batch-egg-rewrite |
| 1282× | associate-*l/ |
| 1010× | *-commutative |
| 742× | associate-/r* |
| 650× | distribute-lft-in |
| 632× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 57 |
| 1 | 226 | 57 |
| 2 | 3079 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (fma.f64 (neg.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1 (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (fma.f64 (neg.f64 (/.f64 1 y)) -5641895835477563/5000000000000000 (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (fma.f64 (neg.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1 (/.f64 -5641895835477563/5000000000000000 y)) (/.f64 1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x (/.f64 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| 1× | egg-herbie |
| 830× | associate-*r* |
| 718× | associate-/l* |
| 708× | *-commutative |
| 670× | associate-/r* |
| 614× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 730 | 19662 |
| 1 | 2125 | 18410 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(/.f64 1 x) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (*.f64 x x)) (*.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) 3)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) 3)) (*.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2))) (neg.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (*.f64 x x)) (*.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2))) 1) (neg.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) 1) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2))) (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 2)) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (/.f64 1 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) 3)) (/.f64 1 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) 1) (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) 1) (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(fma.f64 1 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| Outputs |
|---|
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)))) |
(fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x)))) |
(fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))) |
(+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))))) |
(fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))))) |
(fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y x) x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y x) x)) (/.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y x) x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y x) x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y x) x)) (/.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y x) x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)))) |
(fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x)))) |
(fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -6)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -6)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))) (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) 3)) (*.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -6) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) 3)) (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) 1) (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (*.f64 (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) 1) (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -3)) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2) (/.f64 x (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 2) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 3) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3) 1/3) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(fma.f64 1 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 1 (-.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 x)) |
Compiled 13 to 9 computations (30.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | (-.f64 x (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (-.f64 x (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1372× | add-sqr-sqrt |
| 1350× | *-un-lft-identity |
| 1270× | add-cube-cbrt |
| 1258× | add-cbrt-cube |
| 1246× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 130 | 13 |
| 2 | 1733 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))) (-.f64 (pow.f64 x 3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x)))))) |
| 1× | egg-herbie |
| 1544× | associate-*r/ |
| 1156× | associate-*r* |
| 1010× | associate-*l* |
| 848× | associate-+r+ |
| 682× | associate-+l+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 767 |
| 1 | 256 | 743 |
| 2 | 990 | 713 |
| 3 | 5212 | 695 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
x |
x |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 (/.f64 -1 x) 1)) |
(+.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))) |
(+.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))) |
(+.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 x) x) |
(*.f64 1 (+.f64 x (/.f64 -1 x))) |
(*.f64 (+.f64 x (/.f64 -1 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2))) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2)))) |
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))) (-.f64 (pow.f64 x 3) (pow.f64 x -3)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 x (/.f64 -1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 x (/.f64 -1 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(pow.f64 (+.f64 x (/.f64 -1 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x)))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x)))) |
(fma.f64 1 x (/.f64 -1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
x |
x |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 (/.f64 -1 x) 1)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))) |
(+.f64 (+.f64 x (/.f64 -1 x)) (+.f64 (/.f64 -1 x) (/.f64 1 x))) |
(+.f64 (/.f64 -1 x) (+.f64 x (+.f64 (/.f64 -1 x) (/.f64 1 x)))) |
(+.f64 x (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) 2))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 0 x))) |
(+.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))) |
(+.f64 (+.f64 x (/.f64 -1 x)) (+.f64 (/.f64 -1 x) (/.f64 1 x))) |
(+.f64 (/.f64 -1 x) (+.f64 x (+.f64 (/.f64 -1 x) (/.f64 1 x)))) |
(+.f64 x (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 x) 2))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 0 x))) |
(+.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 -1 x) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))) |
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (+.f64 x (*.f64 (/.f64 -1 x) 0))) |
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (+.f64 x (/.f64 0 x))) |
(+.f64 (/.f64 -1 x) x) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 1 (+.f64 x (/.f64 -1 x))) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 (+.f64 x (/.f64 -1 x)) 1) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2)) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 1 (fma.f64 x x (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x x 1))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2))) |
(+.f64 x (/.f64 -1 x)) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2)))) |
(+.f64 x (/.f64 -1 x)) |
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))) (-.f64 (pow.f64 x 3) (pow.f64 x -3)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 1 (fma.f64 x x (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x x 1))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x))) |
(+.f64 x (/.f64 -1 x)) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 1 (fma.f64 x x (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x x 1))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 x (/.f64 -1 x))) |
(+.f64 x (/.f64 -1 x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 x (/.f64 -1 x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (pow.f64 x -2)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 1 (fma.f64 x x (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x x 1))) |
(pow.f64 (+.f64 x (/.f64 -1 x)) 1) |
(+.f64 x (/.f64 -1 x)) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) 2) |
(+.f64 x (/.f64 -1 x)) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 3) |
(+.f64 x (/.f64 -1 x)) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3) 1/3) |
(+.f64 x (/.f64 -1 x)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 2)) |
(+.f64 x (/.f64 -1 x)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3)) |
(+.f64 x (/.f64 -1 x)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 x))) 1)) |
(+.f64 x (/.f64 -1 x)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(fma.f64 1 x (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ✓ | 12.7b | (/.f64 y (*.f64 y (neg.f64 x))) |
Compiled 25 to 7 computations (72% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | y | @ | 0 | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | x | @ | inf | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| 1× | batch-egg-rewrite |
| 2028× | add-sqr-sqrt |
| 2012× | *-un-lft-identity |
| 1884× | add-cube-cbrt |
| 208× | pow1 |
| 198× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 1 | 200 | 20 |
| 2 | 3086 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 0 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 0 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (pow.f64 (+.f64 x (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x)))))) |
| 1× | egg-herbie |
| 1700× | associate-/r* |
| 802× | associate-+r- |
| 742× | associate-*r/ |
| 536× | +-commutative |
| 528× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 1831 |
| 1 | 427 | 1777 |
| 2 | 1672 | 1773 |
| 3 | 7468 | 1773 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) |
(*.f64 y (/.f64 1 (*.f64 y x))) |
(*.f64 (/.f64 1 x) 1) |
(*.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1 (*.f64 y x)) y) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y x))) |
(*.f64 (/.f64 1 y) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x))) |
(pow.f64 (/.f64 1 x) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3) |
(pow.f64 (/.f64 x 1) -1) |
(pow.f64 (/.f64 1 (pow.f64 x 3)) 1/3) |
(neg.f64 (/.f64 1 x)) |
(sqrt.f64 (/.f64 1 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x)))) |
(cbrt.f64 (/.f64 1 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 x))) |
(exp.f64 (-.f64 0 (log.f64 x))) |
(exp.f64 (*.f64 (-.f64 0 (log.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) 1) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x)))) |
(*.f64 (+.f64 x (/.f64 1 x)) 1) |
(*.f64 1 (+.f64 x (/.f64 1 x))) |
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))) |
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (+.f64 x (/.f64 1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (neg.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))) |
(pow.f64 (+.f64 x (/.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 1 x)))) |
(log.f64 (/.f64 (exp.f64 x) (exp.f64 (/.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1 x))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x)))) |
(fma.f64 y (/.f64 1 (*.f64 y x)) x) |
(fma.f64 1 x (/.f64 1 x)) |
(fma.f64 1 (/.f64 1 x) x) |
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x)) |
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) |
(/.f64 1 x) |
(*.f64 y (/.f64 1 (*.f64 y x))) |
(/.f64 1 x) |
(*.f64 (/.f64 1 x) 1) |
(/.f64 1 x) |
(*.f64 1 (/.f64 1 x)) |
(/.f64 1 x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 1 x) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x)))) |
(/.f64 1 x) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2)) |
(/.f64 1 x) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x))) |
(/.f64 1 x) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x)))) |
(/.f64 1 x) |
(*.f64 (/.f64 1 (*.f64 y x)) y) |
(/.f64 1 x) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y x))) |
(/.f64 -1 x) |
(*.f64 (/.f64 1 y) (/.f64 y x)) |
(/.f64 1 x) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x y))) (/.f64 y (sqrt.f64 (*.f64 x y)))) |
(/.f64 (/.f64 y (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) |
(/.f64 y (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (/.f64 y (cbrt.f64 (*.f64 x y)))) |
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x)) |
(/.f64 1 x) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y)) |
(/.f64 1 x) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x))) |
(/.f64 1 x) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (/.f64 y (cbrt.f64 (*.f64 x y)))) |
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x)) |
(/.f64 1 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y)) |
(/.f64 1 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x))) |
(/.f64 1 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x y))) (/.f64 y (sqrt.f64 (*.f64 x y)))) |
(/.f64 (/.f64 y (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) |
(/.f64 y (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) |
(pow.f64 (/.f64 1 x) 1) |
(/.f64 1 x) |
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2) |
(/.f64 1 x) |
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3) |
(/.f64 1 x) |
(pow.f64 (/.f64 x 1) -1) |
(/.f64 1 x) |
(pow.f64 (/.f64 1 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 x 3))) |
(neg.f64 (/.f64 1 x)) |
(/.f64 -1 x) |
(sqrt.f64 (/.f64 1 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1 x))) |
(/.f64 1 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x)))) |
(/.f64 1 x) |
(cbrt.f64 (/.f64 1 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 x))) |
(/.f64 1 x) |
(exp.f64 (-.f64 0 (log.f64 x))) |
(/.f64 1 x) |
(exp.f64 (*.f64 (-.f64 0 (log.f64 x)) 1)) |
(/.f64 1 x) |
(log1p.f64 (expm1.f64 (/.f64 1 x))) |
(/.f64 1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) 1) |
(+.f64 x (/.f64 1 x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 1 (*.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1 x)))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x)))) |
(fma.f64 x (/.f64 x (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 -1 x) (*.f64 x (+.f64 x (/.f64 1 x))))) |
(*.f64 (+.f64 x (/.f64 1 x)) 1) |
(+.f64 x (/.f64 1 x)) |
(*.f64 1 (+.f64 x (/.f64 1 x))) |
(+.f64 x (/.f64 1 x)) |
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) |
(+.f64 x (/.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) -1))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(+.f64 x (/.f64 1 x)) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) -1))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (+.f64 x (/.f64 1 x))) |
(+.f64 x (/.f64 1 x)) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) -1))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -1))) |
(/.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) -1)) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (neg.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) -1))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1 x)) 2))) |
(pow.f64 (+.f64 x (/.f64 1 x)) 1) |
(+.f64 x (/.f64 1 x)) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2) |
(+.f64 x (/.f64 1 x)) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3) |
(+.f64 x (/.f64 1 x)) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3) |
(+.f64 x (/.f64 1 x)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) |
(+.f64 x (/.f64 1 x)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(log.f64 (/.f64 (exp.f64 x) (exp.f64 (/.f64 1 x)))) |
(+.f64 x (/.f64 -1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1 x))))) |
(+.f64 x (/.f64 1 x)) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3)) |
(+.f64 x (/.f64 1 x)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(exp.f64 (log.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) 1)) |
(+.f64 x (/.f64 1 x)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x)))) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 y (/.f64 1 (*.f64 y x)) x) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 1 x (/.f64 1 x)) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 1 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) x) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x)) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)) x) |
(+.f64 x (/.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x)) |
(+.f64 x (/.f64 1 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| ✓ | 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
| ✓ | 6.5b | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
Compiled 30 to 14 computations (53.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | y | @ | 0 | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | y | @ | inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | y | @ | -inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 1402× | associate-*r/ |
| 1128× | associate-*l/ |
| 1072× | *-commutative |
| 958× | associate-/r* |
| 792× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 57 |
| 1 | 209 | 57 |
| 2 | 3008 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 y (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (/.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 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log.f64 (exp.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 920× | +-commutative |
| 764× | associate-*r* |
| 708× | associate-/l* |
| 618× | associate-*l* |
| 550× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 580 | 13031 |
| 1 | 1682 | 12297 |
| 2 | 7734 | 12297 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 1) |
(*.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1) |
(*.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (neg.f64 y) (/.f64 1 (+.f64 -5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)) (/.f64 y (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)))) |
(*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) |
(*.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 y (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)))) |
(*.f64 (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 y (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (/.f64 y (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (/.f64 y 1) (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (/.f64 y (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 1 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (/.f64 y (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))) |
(*.f64 (/.f64 1 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (/.f64 1 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (*.f64 y (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(*.f64 (/.f64 y (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(*.f64 (/.f64 y (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))) (sqrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (sqrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2)) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (+.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) 1) (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (sqrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (sqrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(fma.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(fma.f64 1 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 y) y))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 3)))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 3)))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 y) y))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
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(/.f64 (sqrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3))))) |
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(/.f64 (sqrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (/.f64 (sqrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))))) |
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3))))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2)) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2) (/.f64 (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) (pow.f64 x 4)) (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (/.f64 1 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y (neg.f64 (pow.f64 x 4))) (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (fma.f64 x x (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (+.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(/.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (-.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) 3) (pow.f64 x 6))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) (+.f64 (pow.f64 x 4) (/.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 6) (pow.f64 x 6)) (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (+.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y (pow.f64 x 4)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 6) (pow.f64 x 6)) (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 6) (pow.f64 x 6)) (*.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 6) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)))) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 6) (-.f64 (pow.f64 x 6) (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)))) (fma.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) 1) (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (sqrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (sqrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) (cbrt.f64 (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (fma.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (fma.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (*.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) (fma.f64 x (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))) |
(pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 3) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3) 1/3) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)) |
(fabs.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(log.f64 (exp.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3)) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 1 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (exp.f64 z)) |
| ✓ | 0.2b | (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
Compiled 27 to 11 computations (59.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
| 1.0ms | y | @ | 0 | (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
| 1.0ms | z | @ | -inf | (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
| 1.0ms | z | @ | inf | (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
| 0.0ms | z | @ | 0 | (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
| 1× | batch-egg-rewrite |
| 1810× | add-sqr-sqrt |
| 1790× | *-un-lft-identity |
| 1666× | add-cube-cbrt |
| 1646× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 182 | 28 |
| 2 | 2224 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 y (exp.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5000000000000000/5641895835477563 (neg.f64 y)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 5000000000000000/5641895835477563) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 5000000000000000/5641895835477563 y)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) (sqrt.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2) (cbrt.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 y (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (exp.f64 z)))))))) |
| 1× | egg-herbie |
| 1442× | associate-*r/ |
| 914× | associate-*l/ |
| 760× | unswap-sqr |
| 752× | associate-/l* |
| 656× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 1104 |
| 1 | 442 | 1058 |
| 2 | 1808 | 1028 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3)))))) |
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y))))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) 1) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (*.f64 5000000000000000/5641895835477563 (neg.f64 y)) (neg.f64 (exp.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) 5000000000000000/5641895835477563) (neg.f64 (exp.f64 z))) |
(/.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) 1) (exp.f64 z)) |
(/.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) |
(/.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z))) |
(/.f64 (neg.f64 (*.f64 5000000000000000/5641895835477563 y)) (neg.f64 (exp.f64 z))) |
(pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 1) |
(pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 3) |
(pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 2)) |
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y (exp.f64 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(exp.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z)) |
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z) 1)) |
(log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (exp.f64 z)))) 1) |
(*.f64 y (exp.f64 (neg.f64 z))) |
(*.f64 (/.f64 y (exp.f64 z)) 1) |
(*.f64 1 (/.f64 y (exp.f64 z))) |
(*.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) (sqrt.f64 (/.f64 y (exp.f64 z)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (exp.f64 (neg.f64 z)))) |
(*.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2) (cbrt.f64 (/.f64 y (exp.f64 z)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (exp.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (neg.f64 z)) y) |
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 y (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (exp.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (exp.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 y (exp.f64 z)))) |
(pow.f64 (/.f64 y (exp.f64 z)) 1) |
(pow.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) 2) |
(pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 3) |
(pow.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) 1/3) |
(pow.f64 (/.f64 (exp.f64 z) y) -1) |
(neg.f64 (/.f64 y (neg.f64 (exp.f64 z)))) |
(sqrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 2)) |
(log.f64 (exp.f64 (/.f64 y (exp.f64 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (exp.f64 z))))) |
(cbrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 y (exp.f64 z)))) |
(exp.f64 (-.f64 (log.f64 y) z)) |
(exp.f64 (*.f64 (-.f64 (log.f64 y) z) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (exp.f64 z)))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 y (*.f64 z -5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 (fma.f64 (neg.f64 y) z y)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 5000000000000000/5641895835477563 y (*.f64 y (*.f64 z -5000000000000000/5641895835477563)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 (*.f64 z z) -1/2)) (*.f64 5000000000000000/5641895835477563 (fma.f64 (neg.f64 y) z y))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3)))))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)))))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (fma.f64 (neg.f64 y) z y)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (+.f64 (*.f64 y -1/2) (*.f64 z (+.f64 (*.f64 y 1/6) 0)))))) |
y |
(+.f64 (*.f64 -1 (*.f64 y z)) y) |
(fma.f64 -1 (*.f64 y z) y) |
(-.f64 y (*.f64 y z)) |
(fma.f64 (neg.f64 y) z y) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))))) |
(+.f64 (fma.f64 -1 (*.f64 y z) y) (neg.f64 (*.f64 (*.f64 z z) (*.f64 y -1/2)))) |
(+.f64 (-.f64 y (*.f64 y z)) (*.f64 (*.f64 (*.f64 z z) 1/2) y)) |
(+.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 z z) 1/2) (neg.f64 z)))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y))))))) |
(+.f64 (fma.f64 -1 (*.f64 y z) y) (*.f64 -1 (+.f64 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 y -1/2))))) |
(-.f64 (fma.f64 -1 (fma.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3) (*.f64 y (*.f64 -1/2 (*.f64 z z)))) y) (*.f64 y z)) |
(+.f64 (fma.f64 (neg.f64 y) z y) (*.f64 (*.f64 z z) (-.f64 (*.f64 y 1/2) (*.f64 z (+.f64 (*.f64 y 1/6) 0))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) 1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 (neg.f64 y)) (neg.f64 (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) 5000000000000000/5641895835477563) (neg.f64 (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) 1) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (neg.f64 (*.f64 5000000000000000/5641895835477563 y)) (neg.f64 (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 2) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 3) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3) 1/3) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 2)) |
(fabs.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(fabs.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y (exp.f64 z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(exp.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z) 1)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (exp.f64 z)))) 1) |
(/.f64 y (exp.f64 z)) |
(*.f64 y (exp.f64 (neg.f64 z))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 y (exp.f64 z)) 1) |
(/.f64 y (exp.f64 z)) |
(*.f64 1 (/.f64 y (exp.f64 z))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) (sqrt.f64 (/.f64 y (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (exp.f64 (neg.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2)) |
(/.f64 y (exp.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 2) (cbrt.f64 (/.f64 y (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (exp.f64 (neg.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (exp.f64 (neg.f64 z)) y) |
(/.f64 y (exp.f64 z)) |
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 y (cbrt.f64 (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (exp.f64 z))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (exp.f64 z))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 y (exp.f64 z)))) |
(*.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) |
(pow.f64 (/.f64 y (exp.f64 z)) 1) |
(/.f64 y (exp.f64 z)) |
(pow.f64 (sqrt.f64 (/.f64 y (exp.f64 z))) 2) |
(/.f64 y (exp.f64 z)) |
(pow.f64 (cbrt.f64 (/.f64 y (exp.f64 z))) 3) |
(/.f64 y (exp.f64 z)) |
(pow.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) 1/3) |
(/.f64 y (exp.f64 z)) |
(pow.f64 (/.f64 (exp.f64 z) y) -1) |
(/.f64 y (exp.f64 z)) |
(neg.f64 (/.f64 y (neg.f64 (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(sqrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 2)) |
(fabs.f64 (/.f64 y (exp.f64 z))) |
(log.f64 (exp.f64 (/.f64 y (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (exp.f64 z))))) |
(/.f64 y (exp.f64 z)) |
(cbrt.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3)) |
(/.f64 y (exp.f64 z)) |
(expm1.f64 (log1p.f64 (/.f64 y (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
(exp.f64 (-.f64 (log.f64 y) z)) |
(/.f64 y (exp.f64 z)) |
(exp.f64 (*.f64 (-.f64 (log.f64 y) z) 1)) |
(/.f64 y (exp.f64 z)) |
(log1p.f64 (expm1.f64 (/.f64 y (exp.f64 z)))) |
(/.f64 y (exp.f64 z)) |
Compiled 26531 to 16742 computations (36.9% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1077 | 3 | 1080 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 1078 | 8 | 1086 |
| Status | Error | Program |
|---|---|---|
| ▶ | 51.9b | (/.f64 -1 x) |
| ✓ | 11.8b | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ✓ | 18.7b | (-.f64 x (/.f64 1 x)) |
| ✓ | 11.8b | (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| ▶ | 24.9b | (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
| ✓ | 21.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ▶ | 54.7b | (*.f64 y 5000000000000000/5641895835477563) |
| 18.7b | x |
Compiled 67 to 49 computations (26.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 y 5000000000000000/5641895835477563) |
Compiled 8 to 6 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | -inf | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | 0 | (*.f64 y 5000000000000000/5641895835477563) |
| 1× | batch-egg-rewrite |
| 924× | associate-*l* |
| 902× | add-sqr-sqrt |
| 884× | *-un-lft-identity |
| 842× | pow1 |
| 826× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 100 | 7 |
| 2 | 1110 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y 5000000000000000/5641895835477563) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 5000000000000000/5641895835477563) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
| 1× | egg-herbie |
| 872× | log-prod |
| 796× | +-commutative |
| 746× | associate-+r- |
| 696× | fma-def |
| 676× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 161 |
| 1 | 84 | 161 |
| 2 | 260 | 161 |
| 3 | 1817 | 161 |
| 4 | 4008 | 161 |
| 5 | 6475 | 161 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(-.f64 (+.f64 (*.f64 y 5000000000000000/5641895835477563) 1) 1) |
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3) |
(pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3) |
(sqrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))) |
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) |
(cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(-.f64 (+.f64 (*.f64 y 5000000000000000/5641895835477563) 1) 1) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3) |
(*.f64 5000000000000000/5641895835477563 y) |
(sqrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))) |
(*.f64 5000000000000000/5641895835477563 y) |
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) |
(*.f64 5000000000000000/5641895835477563 y) |
(cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) |
(*.f64 5000000000000000/5641895835477563 y) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 y 5641895835477563/5000000000000000) |
Compiled 14 to 9 computations (35.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y 5641895835477563/5000000000000000) |
| 0.0ms | y | @ | inf | (/.f64 y 5641895835477563/5000000000000000) |
| 0.0ms | y | @ | -inf | (/.f64 y 5641895835477563/5000000000000000) |
| 1× | batch-egg-rewrite |
| 1020× | add-sqr-sqrt |
| 988× | *-un-lft-identity |
| 944× | pow1 |
| 938× | add-cube-cbrt |
| 930× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 108 | 7 |
| 2 | 1259 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 5641895835477563/5000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
| 1× | egg-herbie |
| 1332× | associate-*r* |
| 1048× | associate-*l* |
| 820× | distribute-rgt-in |
| 816× | distribute-lft-in |
| 800× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 255 |
| 1 | 127 | 255 |
| 2 | 514 | 249 |
| 3 | 3324 | 249 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(-.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1) |
(*.f64 y 5000000000000000/5641895835477563) |
(*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(*.f64 1 (*.f64 y 5000000000000000/5641895835477563)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563)) |
(*.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563)) |
(*.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (neg.f64 y) -5000000000000000/5641895835477563) |
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3) |
(pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3) |
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1) |
(neg.f64 (/.f64 y -5641895835477563/5000000000000000)) |
(sqrt.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) |
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(-.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 y 5000000000000000/5641895835477563) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 1 (*.f64 y 5000000000000000/5641895835477563)) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563)) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563)) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 (neg.f64 y) -5000000000000000/5641895835477563) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1) |
(*.f64 5000000000000000/5641895835477563 y) |
(neg.f64 (/.f64 y -5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 y) |
(sqrt.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) |
(sqrt.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))) |
(fabs.f64 (*.f64 5000000000000000/5641895835477563 y)) |
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) |
(*.f64 5000000000000000/5641895835477563 y) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
Compiled 8 to 6 computations (25% saved)
Compiled 268 to 196 computations (26.9% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 0 | 37 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 37 | 8 | 45 |
| Status | Error | Program |
|---|---|---|
| ✓ | 51.9b | (/.f64 -1 x) |
| ✓ | 11.8b | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ✓ | 18.7b | (-.f64 x (/.f64 1 x)) |
| ✓ | 11.8b | (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| ✓ | 24.9b | (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
| ✓ | 21.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ✓ | 54.7b | (*.f64 y 5000000000000000/5641895835477563) |
| 18.7b | x |
Compiled 67 to 49 computations (26.9% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 51.9b | (/.f64 -1 x) |
| ✓ | 11.8b | (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ✓ | 18.7b | (-.f64 x (/.f64 1 x)) |
| ✓ | 11.8b | (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| ✓ | 24.9b | (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
| ✓ | 21.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ✓ | 54.7b | (*.f64 y 5000000000000000/5641895835477563) |
| 18.7b | x |
Compiled 67 to 49 computations (26.9% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
6 calls:
| 7.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 7.0ms | z |
| 7.0ms | x |
| 6.0ms | y |
| 2.0ms | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 0.0b | 1 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.0b | 1 | (exp.f64 z) |
Compiled 116 to 74 computations (36.2% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
x |
6 calls:
| 37.0ms | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 16.0ms | z |
| 11.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 6.0ms | y |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 3.7b | 1 | x |
| 3.7b | 1 | y |
| 0.0b | 3 | z |
| 0.9b | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 0.0b | 3 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.0b | 3 | (exp.f64 z) |
Compiled 105 to 68 computations (35.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000002783758655 |
| 29.0ms | 0.0 | 0.15706985736284593 |
| 26.0ms | 224× | body | 256 | valid |
Compiled 329 to 253 computations (23.1% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
| Outputs |
|---|
(-.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
x |
3 calls:
| 14.0ms | z |
| 7.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.8b | 1 | x |
| 11.8b | 1 | y |
| 0.1b | 3 | z |
Compiled 49 to 31 computations (36.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.1207893787747284e-17 | 2.783758267965027e-7 |
| 20.0ms | -267492.8460692517 | -1.8510646212396227 |
| 37.0ms | 304× | body | 256 | valid |
Compiled 399 to 289 computations (27.6% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
x |
3 calls:
| 31.0ms | z |
| 18.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.7b | 3 | x |
| 12.8b | 3 | y |
| 4.6b | 7 | z |
Compiled 40 to 26 computations (35% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.1207893787747284e-17 | 2.783758267965027e-7 |
| 9.0ms | 1.6193264055246356e-162 | 5.304759022241948e-162 |
| 16.0ms | -3.0364196585864126e-271 | -2.3098637201582804e-273 |
| 4.0ms | -1.8226335810176758e-215 | -1.629440048355134e-215 |
| 0.0ms | -1.7099443650681332e-160 | -1.630682374703716e-160 |
| 25.0ms | -3.7921237404303355e-54 | -2.0442627888522122e-64 |
| 68.0ms | 544× | body | 256 | valid |
Compiled 599 to 463 computations (22.7% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
(-.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
x |
3 calls:
| 26.0ms | z |
| 15.0ms | y |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.7b | 3 | x |
| 12.8b | 3 | y |
| 4.6b | 7 | z |
Compiled 32 to 22 computations (31.3% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.1207893787747284e-17 | 2.783758267965027e-7 |
| 9.0ms | 1.6193264055246356e-162 | 5.304759022241948e-162 |
| 14.0ms | -3.0364196585864126e-271 | -2.3098637201582804e-273 |
| 4.0ms | -1.8226335810176758e-215 | -1.629440048355134e-215 |
| 0.0ms | -1.7099443650681332e-160 | -1.630682374703716e-160 |
| 23.0ms | -3.7921237404303355e-54 | -2.0442627888522122e-64 |
| 65.0ms | 544× | body | 256 | valid |
Compiled 593 to 461 computations (22.3% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
| Outputs |
|---|
(/.f64 -1 x) |
x |
(/.f64 -1 x) |
(+.f64 (/.f64 y 5641895835477563/5000000000000000) x) |
x |
3 calls:
| 17.0ms | z |
| 11.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.7b | 3 | x |
| 15.9b | 3 | y |
| 14.1b | 5 | z |
Compiled 27 to 19 computations (29.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.1207893787747284e-17 | 2.783758267965027e-7 |
| 16.0ms | -2.1101336115116435e+82 | -1.642673202339926e+79 |
| 17.0ms | -1.5693317141432536e+124 | -3.893482759909168e+117 |
| 16.0ms | -1.3811720557186424e+187 | -4.0734388325374034e+183 |
| 63.0ms | 560× | body | 256 | valid |
Compiled 493 to 399 computations (19.1% saved)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
(/.f64 -1 x) |
| Outputs |
|---|
x |
(/.f64 -1 x) |
x |
3 calls:
| 12.0ms | x |
| 9.0ms | z |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 3 | x |
| 18.7b | 1 | y |
| 17.0b | 2 | z |
Compiled 22 to 16 computations (27.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.3714652386351215e-171 | 1.6574580695109014e-167 |
| 12.0ms | -4.5609116483975225e-94 | -1.0005410811357971e-94 |
| 25.0ms | 224× | body | 256 | valid |
Compiled 189 to 155 computations (18% saved)
Total -46.6b remaining (-298.4%)
Threshold costs -46.6b (-298.4%)
| Inputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
| Outputs |
|---|
x |
(*.f64 y 5000000000000000/5641895835477563) |
x |
3 calls:
| 8.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 15.6b | 3 | x |
| 18.7b | 1 | y |
| 18.7b | 1 | z |
Compiled 19 to 14 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.8417502927151436e-153 | 3.978520392258946e-149 |
| 12.0ms | -1.2539163673728966e-117 | -7.640110056231259e-118 |
| 25.0ms | 192× | body | 256 | valid |
Compiled 165 to 135 computations (18.2% saved)
| 1× | egg-herbie |
| 28× | +-commutative |
| 18× | *-commutative |
| 16× | sub-neg |
| 10× | neg-mul-1 |
| 10× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 549 |
| 1 | 133 | 549 |
| 2 | 152 | 549 |
| 3 | 161 | 549 |
| 4 | 165 | 549 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(if (<=.f64 (exp.f64 z) 6129982163463555/3064991081731777716716694054300618367237478244367204352) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 1) (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 z -76) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 2597301565578305/9444732965739290427392) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) x)) |
(if (<=.f64 z -4003012881138527/6901746346790563787434755862277025452451108972170386555162524223799296) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z -7004444445693749/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 3551219595117973/151115727451828646838272) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x)))))) |
(if (<=.f64 z -5262581589427805/1725436586697640946858688965569256363112777243042596638790631055949824) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5900483092839843/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z 2431356778641207/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 3713820117856141/154742504910672534362390528) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x)))))) |
(if (<=.f64 z -61999999999999996924754774548390491532695827141375114788071005575470398576125764704343031710613102073532527621004825051465957590275010024324290853991144438003978708318708487055202058240) (/.f64 -1 x) (if (<=.f64 z -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488) x (if (<=.f64 z -42000000000000001590860518205872056614479423751160824604641861538702367559516160) (/.f64 -1 x) (if (<=.f64 z 3022314549036573/1208925819614629174706176) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x)))) |
(if (<=.f64 x -126821299469787/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) x (if (<=.f64 x 4886469533914257/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (/.f64 -1 x) x)) |
(if (<=.f64 x -4485957751511949/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) x (if (<=.f64 x 7170528607160929/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (*.f64 y 5000000000000000/5641895835477563) x)) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(if (<=.f64 (exp.f64 z) 6129982163463555/3064991081731777716716694054300618367237478244367204352) (-.f64 x (/.f64 1 x)) (if (<=.f64 (exp.f64 z) 1) (-.f64 x (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 (exp.f64 z) 6129982163463555/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 1) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 z -76) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 2597301565578305/9444732965739290427392) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) x)) |
(if (<=.f64 z -76) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 2597301565578305/9444732965739290427392) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x)) |
(if (<=.f64 z -76) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2597301565578305/9444732965739290427392) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x)) |
(if (<=.f64 z -4003012881138527/6901746346790563787434755862277025452451108972170386555162524223799296) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z -7004444445693749/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 3551219595117973/151115727451828646838272) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x)))))) |
(if (<=.f64 z -4003012881138527/6901746346790563787434755862277025452451108972170386555162524223799296) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z -7004444445693749/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 3551219595117973/151115727451828646838272) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))))) |
(if (<=.f64 z -4003012881138527/6901746346790563787434755862277025452451108972170386555162524223799296) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (+.f64 x (/.f64 y (*.f64 x (neg.f64 y)))) (if (<=.f64 z -7004444445693749/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 3444422103075043/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3551219595117973/151115727451828646838272) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))))) |
(if (<=.f64 z -5262581589427805/1725436586697640946858688965569256363112777243042596638790631055949824) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5900483092839843/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) (if (<=.f64 z 2431356778641207/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 3713820117856141/154742504910672534362390528) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x)))))) |
(if (<=.f64 z -5262581589427805/1725436586697640946858688965569256363112777243042596638790631055949824) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (-.f64 x (/.f64 1 x)) (if (<=.f64 z -5900483092839843/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 2431356778641207/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (-.f64 x (/.f64 1 x)) (if (<=.f64 z 3713820117856141/154742504910672534362390528) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))))) |
(if (<=.f64 z -5262581589427805/1725436586697640946858688965569256363112777243042596638790631055949824) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -5381909536054755/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -3493165707676595/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -5900483092839843/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 2431356778641207/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 3713820117856141/154742504910672534362390528) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))))) |
(if (<=.f64 z -61999999999999996924754774548390491532695827141375114788071005575470398576125764704343031710613102073532527621004825051465957590275010024324290853991144438003978708318708487055202058240) (/.f64 -1 x) (if (<=.f64 z -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488) x (if (<=.f64 z -42000000000000001590860518205872056614479423751160824604641861538702367559516160) (/.f64 -1 x) (if (<=.f64 z 3022314549036573/1208925819614629174706176) (+.f64 (/.f64 y 5641895835477563/5000000000000000) x) x)))) |
(if (<=.f64 z -61999999999999996924754774548390491532695827141375114788071005575470398576125764704343031710613102073532527621004825051465957590275010024324290853991144438003978708318708487055202058240) (/.f64 -1 x) (if (<=.f64 z -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488) x (if (<=.f64 z -42000000000000001590860518205872056614479423751160824604641861538702367559516160) (/.f64 -1 x) (if (<=.f64 z 3022314549036573/1208925819614629174706176) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))) |
(if (<=.f64 x -126821299469787/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) x (if (<=.f64 x 4886469533914257/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (/.f64 -1 x) x)) |
(if (<=.f64 x -4485957751511949/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) x (if (<=.f64 x 7170528607160929/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (*.f64 y 5000000000000000/5641895835477563) x)) |
x |
Compiled 255 to 172 computations (32.5% saved)
| 1× | egg-herbie |
| 1102× | fma-def |
| 936× | associate--r- |
| 832× | associate--l- |
| 754× | associate-*r* |
| 712× | associate-*l* |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 23 | 35 |
| 2 | 36 | 35 |
| 3 | 54 | 35 |
| 4 | 80 | 35 |
| 5 | 132 | 35 |
| 6 | 228 | 35 |
| 7 | 327 | 35 |
| 8 | 453 | 35 |
| 9 | 683 | 31 |
| 10 | 860 | 31 |
| 11 | 1256 | 31 |
| 12 | 2219 | 31 |
| 13 | 4681 | 31 |
| 14 | 5972 | 31 |
| 15 | 7568 | 31 |
| 1× | node limit |
Compiled 852 to 478 computations (43.9% saved)
Compiled 231 to 147 computations (36.4% saved)
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