Time bar (total: 9.0s)
| 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)
| 1.0s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 661× | associate--l-_binary64 |
| 493× | associate--r-_binary64 |
| 425× | fma-def_binary64 |
| 331× | associate-/r*_binary64 |
| 328× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 57 | 72 |
| 2 | 89 | 72 |
| 3 | 128 | 72 |
| 4 | 203 | 72 |
| 5 | 387 | 72 |
| 6 | 603 | 72 |
| 7 | 877 | 72 |
| 8 | 1373 | 72 |
| 9 | 2039 | 64 |
| 10 | 2783 | 64 |
| 11 | 4361 | 64 |
| 12 | 6706 | 64 |
| 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 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 x y))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (exp.f64 z) 5000000000000000/5641895835477563) (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 x y (/.f64 (exp.f64 z) -5000000000000000/5641895835477563)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 x y))))) |
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 y (/.f64 x (-.f64 (/.f64 (exp.f64 z) 5000000000000000/5641895835477563) (*.f64 x y)))) |
(-.f64 y (/.f64 x (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y)))) |
(-.f64 y (/.f64 x (fma.f64 x y (/.f64 (exp.f64 z) -5000000000000000/5641895835477563)))) |
(+.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 (-.f64 (/.f64 (exp.f64 x) 5000000000000000/5641895835477563) (*.f64 y z)))) |
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
(+.f64 x (/.f64 z (fma.f64 x (neg.f64 z) (*.f64 5641895835477563/5000000000000000 (exp.f64 y))))) |
(-.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 |
| 551× | fma-def_binary64 |
| 468× | associate--r-_binary64 |
| 416× | associate--l-_binary64 |
| 391× | associate-*r*_binary64 |
| 356× | associate-*l*_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 20 | 18 |
| 2 | 33 | 18 |
| 3 | 51 | 18 |
| 4 | 77 | 18 |
| 5 | 129 | 18 |
| 6 | 225 | 18 |
| 7 | 320 | 18 |
| 8 | 447 | 18 |
| 9 | 679 | 16 |
| 10 | 862 | 16 |
| 11 | 1270 | 16 |
| 12 | 2256 | 16 |
| 13 | 4758 | 16 |
| 14 | 6102 | 16 |
| 15 | 7699 | 16 |
| 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 (neg.f64 (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.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 60 to 31 computations (48.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 2 | 5 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 3 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.7b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ▶ | 0.1b | (+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
Compiled 29 to 20 computations (31% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | z | @ | inf | (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) |
| 2.0ms | z | @ | 0 | (/.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)) |
| 1.0ms | z | @ | inf | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | 0 | (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
| 1× | batch-egg-rewrite |
| 964× | add-sqr-sqrt_binary64 |
| 951× | *-un-lft-identity_binary64 |
| 885× | add-cube-cbrt_binary64 |
| 875× | add-cbrt-cube_binary64 |
| 97× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 207 | 27 |
| 2 | 2392 | 27 |
| 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) |
| 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 (neg.f64 y)))))) (#(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 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2))))) (#(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 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) (cbrt.f64 (/.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 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 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) -1) -1)))) (#(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 neg.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (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 (pow.f64 (/.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 -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 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 1) x)))) (#(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 (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) (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3) (pow.f64 x 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 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) |
| 1× | egg-herbie |
| 754× | associate-/r*_binary64 |
| 689× | associate-*r/_binary64 |
| 688× | associate-/l*_binary64 |
| 632× | associate-*l/_binary64 |
| 217× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 2281 |
| 1 | 624 | 2234 |
| 2 | 3083 | 2231 |
| 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))))) |
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(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
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(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
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(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
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(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
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(/.f64 -1 x) |
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(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
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(+.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) |
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(+.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)) |
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(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
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(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
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(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
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(+.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) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 1 y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) 1) |
(*.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) |
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1) |
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(/.f64 (-.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)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3) (pow.f64 x 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)))) |
(pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2)) |
(log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) 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 z (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 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 z (*.f64 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 z (*.f64 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))))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.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 z (*.f64 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 z (*.f64 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 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (pow.f64 z 3) (*.f64 z (*.f64 z (+.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 -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 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 y (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 (/.f64 (/.f64 5641895835477563/30000000000000000 y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.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))))) |
(/.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 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)) |
(+.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 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 y (*.f64 y x)) (/.f64 (pow.f64 (exp.f64 z) 2) 25000000000000000000000000000000/31830988618379068626528276418969))) |
(+.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 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))) (pow.f64 (exp.f64 z) 3)))) |
(+.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 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)))))) |
(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 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))) (pow.f64 (exp.f64 z) 3))))) |
(/.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 (exp.f64 z) (*.f64 y (*.f64 x x)))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y 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 (exp.f64 z) (*.f64 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)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (*.f64 y x) x)) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))) |
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(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(/.f64 (exp.f64 z) (*.f64 y -5000000000000000/5641895835477563)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 1 y)) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) 1) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 (/.f64 1 y) -5641895835477563/5000000000000000) |
(/.f64 -5641895835477563/5000000000000000 y) |
(*.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1) |
(/.f64 -5641895835477563/5000000000000000 y) |
(pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) |
(/.f64 -5641895835477563/5000000000000000 y) |
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3) |
(/.f64 -5641895835477563/5000000000000000 y) |
(pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3) |
(/.f64 -5641895835477563/5000000000000000 y) |
(pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1) |
(/.f64 -5641895835477563/5000000000000000 y) |
(sqrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2)) |
(fabs.f64 (/.f64 -5641895835477563/5000000000000000 y)) |
(log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3)) |
(/.f64 -5641895835477563/5000000000000000 y) |
(expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(exp.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1)) |
(/.f64 -5641895835477563/5000000000000000 y) |
(log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) 1) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) 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)))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(*.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) 1/3) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(pow.f64 (*.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) -1) -1) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(neg.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2)) |
(fabs.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1)) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(+.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(+.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 1) x) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(/.f64 (-.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)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2) (pow.f64 (exp.f64 z) 2)) (*.f64 x x)) (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2)) (*.f64 x x)) (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) y)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 z) (*.f64 y -5000000000000000/5641895835477563)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3) (pow.f64 x 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)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2) (pow.f64 (exp.f64 z) 2)) (*.f64 x (-.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (exp.f64 z) y) 3))) (fma.f64 x (-.f64 x (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (exp.f64 z) (*.f64 y -5000000000000000/5641895835477563)) 3)) (fma.f64 x (-.f64 x (/.f64 (exp.f64 z) (*.f64 y -5000000000000000/5641895835477563))) (*.f64 (pow.f64 (exp.f64 z) 2) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) y)))) |
(pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)) |
(fabs.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| ✓ | 0.6b | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
| ✓ | 10.0b | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
Compiled 46 to 20 computations (56.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 2.0ms | z | @ | inf | (/.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 | y | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 0.0ms | y | @ | inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1× | batch-egg-rewrite |
| 546× | *-commutative_binary64 |
| 529× | associate-*r/_binary64 |
| 417× | associate-/r*_binary64 |
| 371× | associate-/l*_binary64 |
| 369× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 219 | 33 |
| 2 | 2988 | 33 |
| 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 5641895835477563/5000000000000000 (exp.f64 z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 518× | associate-*r*_binary64 |
| 392× | associate-*l*_binary64 |
| 364× | times-frac_binary64 |
| 332× | associate-/l*_binary64 |
| 329× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 672 | 10585 |
| 1 | 1943 | 10114 |
| 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)) |
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(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y x) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (*.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 (*.f64 y x) 2)) 1) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 (*.f64 y x) 2)) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 (*.f64 y x) 2)) (*.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) |
(pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 3) |
(pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 2)) |
(log.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) |
(cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(exp.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(log1p.f64 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))) |
(fma.f64 1 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (neg.f64 x))) |
(fma.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(fma.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) (*.f64 y (neg.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) (*.f64 y (neg.f64 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))) |
(log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 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)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) 2)) (*.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 (*.f64 5000000000000000/5641895835477563 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))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) 2)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (*.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 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 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)))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) 2)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (*.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 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (neg.f64 (/.f64 1 x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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 (exp.f64 z) (*.f64 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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 (exp.f64 z) (*.f64 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 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (neg.f64 (/.f64 1 x))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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 (exp.f64 z) (*.f64 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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 (exp.f64 z) (*.f64 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 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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 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)))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 (*.f64 y x) 2)) (*.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) (*.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) (*.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 (*.f64 y x) 3)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))))))) |
(pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 1) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 3) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 3) 1/3) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(sqrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) 2)) |
(log.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) 3)) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(expm1.f64 (log1p.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(exp.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(log1p.f64 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 1 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (neg.f64 x))) |
(-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)) |
(fma.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(fma.f64 y (neg.f64 x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (fma.f64 (neg.f64 x) y (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 0 (*.f64 y x))) (*.f64 y x)) |
(fma.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(fma.f64 y (neg.f64 x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (fma.f64 (neg.f64 x) y (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 0 (*.f64 y x))) (*.f64 y x)) |
(fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) (*.f64 y (neg.f64 x))) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2) (*.f64 y (neg.f64 x))) |
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2) (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(fma.f64 y (neg.f64 x) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (fma.f64 (neg.f64 x) y (*.f64 y x)))) |
(-.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 0 (*.f64 y x))) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z))) (*.f64 y (neg.f64 x))) |
(-.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))) |
(log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
Compiled 16317 to 7900 computations (51.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 10 | 543 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 535 | 10 | 545 |
| Status | Error | Program |
|---|---|---|
| 23.7b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) | |
| 11.8b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) | |
| 12.7b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) | |
| 23.7b | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) | |
| 22.8b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) | |
| ▶ | 11.9b | (+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| ▶ | 12.7b | (+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| ▶ | 0.1b | (+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
| ▶ | 12.7b | (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
| ▶ | 19.8b | (+.f64 x (/.f64 -1 x)) |
Compiled 260 to 188 computations (27.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
| ✓ | 0.1b | (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)) |
| 0.2b | (/.f64 -5641895835477563/5000000000000000 y) |
Compiled 49 to 28 computations (42.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)) |
| 1.0ms | z | @ | -inf | (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)) |
| 1.0ms | y | @ | inf | (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)) |
| 1.0ms | z | @ | 0 | (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
| 1× | batch-egg-rewrite |
| 745× | associate-*r/_binary64 |
| 553× | associate-*l/_binary64 |
| 533× | *-commutative_binary64 |
| 420× | associate-/r*_binary64 |
| 243× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 240 | 22 |
| 2 | 3053 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z (log.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))))))) |
| 1× | egg-herbie |
| 506× | distribute-lft-in_binary64 |
| 500× | associate-/l*_binary64 |
| 497× | distribute-rgt-in_binary64 |
| 276× | times-frac_binary64 |
| 235× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 4214 |
| 1 | 1292 | 4091 |
| 2 | 5719 | 4091 |
| 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 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
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(log.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) |
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))) 1) |
(/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) |
(/.f64 (exp.f64 z) (*.f64 y -5000000000000000/5641895835477563)) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 1) |
(/.f64 1 (/.f64 y (/.f64 (exp.f64 z) -5000000000000000/5641895835477563))) |
(/.f64 (sqrt.f64 (exp.f64 z)) (/.f64 (*.f64 y -5000000000000000/5641895835477563) (sqrt.f64 (exp.f64 z)))) |
(/.f64 (cbrt.f64 (exp.f64 z)) (/.f64 (*.f64 y -5000000000000000/5641895835477563) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (/.f64 (*.f64 y -5000000000000000/5641895835477563) (cbrt.f64 (exp.f64 z)))) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) y) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (/.f64 y 1)) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 5641895835477563/5000000000000000 (/.f64 (neg.f64 y) (exp.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (/.f64 y (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (/.f64 y (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z)))) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 y (cbrt.f64 (exp.f64 z)))) |
(/.f64 (/.f64 (exp.f64 z) y) -5000000000000000/5641895835477563) |
(/.f64 (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (neg.f64 y)) |
(/.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563) y) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (neg.f64 y)) |
(/.f64 (*.f64 (exp.f64 z) -1) (neg.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 1 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) (neg.f64 y)) |
(/.f64 (*.f64 1 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563)) y) |
(/.f64 (*.f64 1 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z)))) (sqrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) 2) (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) -1) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) 1) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 -5641895835477563/5000000000000000)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 5641895835477563/5000000000000000)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)) 1) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (*.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)) (cbrt.f64 -5641895835477563/5000000000000000)) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)) (cbrt.f64 5641895835477563/5000000000000000)) (cbrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (exp.f64 z)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2)) (exp.f64 z)) (cbrt.f64 y)) |
(/.f64 (*.f64 -1 (exp.f64 z)) (neg.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563) 1) y) |
(/.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) 1) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) 1) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))) (sqrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (sqrt.f64 -5641895835477563/5000000000000000) (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 5641895835477563/5000000000000000) (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) 2)) (cbrt.f64 y)) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (exp.f64 z) 1) (*.f64 y -5000000000000000/5641895835477563)) |
(/.f64 (/.f64 (exp.f64 z) (*.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)))) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) -1) y) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563) 1) y) |
(/.f64 (/.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) 1) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) -1) y) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) 1) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 1) |
(pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) 3) |
(pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)) (exp.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))))) |
(cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))) |
(exp.f64 (+.f64 z (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))) |
(log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))) |
| Outputs |
|---|
(*.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 (*.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 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))) (pow.f64 (exp.f64 z) 2))) |
(+.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 (*.f64 5000000000000000/5641895835477563 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 (/.f64 y (exp.f64 z)) 3) (*.f64 x 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 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 (*.f64 5000000000000000/5641895835477563 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 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) (*.f64 x x)) (/.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 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 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)) |
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(/.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (exp.f64 z) 1) (*.f64 y -5000000000000000/5641895835477563)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (exp.f64 z) (*.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)))) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) -1) y) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1) (neg.f64 y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563) 1) y) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (/.f64 (exp.f64 z) -5000000000000000/5641895835477563) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) 1) (sqrt.f64 y)) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 (exp.f64 z) (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 (sqrt.f64 y) (exp.f64 z))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (exp.f64 z) (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (exp.f64 z) (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (exp.f64 z) (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) -1) y) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) 1) (neg.f64 y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (exp.f64 z) (/.f64 (sqrt.f64 y) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (/.f64 (exp.f64 z) (sqrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 1) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) 2) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))) 3) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 3) 1/3) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(sqrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 2)) |
(fabs.f64 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)) (exp.f64 z))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z)))))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))) 3)) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(exp.f64 (+.f64 z (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
(log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 (/.f64 y (exp.f64 z))))) |
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) |
(*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)) |
Compiled 13 to 9 computations (30.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1.0ms | x | @ | inf | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | y | @ | inf | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | y | @ | 0 | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| 1× | batch-egg-rewrite |
| 954× | add-sqr-sqrt_binary64 |
| 939× | *-un-lft-identity_binary64 |
| 884× | add-cube-cbrt_binary64 |
| 876× | add-cbrt-cube_binary64 |
| 86× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 181 | 17 |
| 2 | 2343 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (/.f64 1 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)) (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -5641895835477563/5000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)))))) |
| 1× | egg-herbie |
| 459× | unswap-sqr_binary64 |
| 459× | associate-/r*_binary64 |
| 378× | times-frac_binary64 |
| 328× | associate-*r/_binary64 |
| 285× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1495 |
| 1 | 451 | 1440 |
| 2 | 1885 | 1433 |
| 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)))))))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 1) |
(*.f64 -1 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1) |
(*.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(*.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1) |
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1) |
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -1) -1) |
(pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1) |
(neg.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(exp.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(*.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(*.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (/.f64 1 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 1 (/.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)) (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) |
(pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) |
(fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 1 (/.f64 -5641895835477563/5000000000000000 y) x) |
(fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
| 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 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y 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))) |
(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 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) |
(+.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 (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 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 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)) |
(+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 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 y (*.f64 y (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.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 y (*.f64 y (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.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)) |
(+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 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 y (*.f64 y (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.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 y (*.f64 y (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 -1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(*.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 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y 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))) |
(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 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) |
(+.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 (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 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 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)) |
(+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 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 y (*.f64 y (pow.f64 x 3))))) |
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(/.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (fma.f64 x x (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) (*.f64 x 5641895835477563/5000000000000000)) y))) |
(/.f64 1 (/.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)) (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (fma.f64 x x (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) (*.f64 x 5641895835477563/5000000000000000)) y))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (fma.f64 x x (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) (*.f64 x 5641895835477563/5000000000000000)) y))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) (*.f64 x 5641895835477563/5000000000000000)) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (fma.f64 x x (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 y) (*.f64 x 5641895835477563/5000000000000000)) y))) |
(/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (fma.f64 x x (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (+.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1)) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 1 (/.f64 -5641895835477563/5000000000000000 y) x) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| ✓ | 0.1b | (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| ✓ | 0.4b | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
Compiled 43 to 32 computations (25.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 0.0ms | y | @ | 0 | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1× | batch-egg-rewrite |
| 644× | associate-*r/_binary64 |
| 441× | *-commutative_binary64 |
| 380× | associate-*l/_binary64 |
| 345× | associate-/r*_binary64 |
| 229× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 219 | 21 |
| 2 | 2685 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| 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 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -5641895835477563/5000000000000000 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5641895835477563/5000000000000000 (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 5641895835477563/5000000000000000 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)) (sqrt.f64 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fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)))))) |
| 1× | egg-herbie |
| 484× | fma-def_binary64 |
| 416× | associate-*r*_binary64 |
| 346× | associate-*l*_binary64 |
| 299× | *-commutative_binary64 |
| 263× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 5598 |
| 1 | 1716 | 5394 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(*.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)))))))) |
(/.f64 -5641895835477563/5000000000000000 y) |
x |
x |
(/.f64 -5641895835477563/5000000000000000 y) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 5641895835477563/5000000000000000 y))) 1) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 1 (/.f64 y 5641895835477563/5000000000000000)) |
(/.f64 (/.f64 5641895835477563/5000000000000000 y) 1) |
(/.f64 -5641895835477563/5000000000000000 (neg.f64 y)) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 5641895835477563/5000000000000000 (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y)) |
(/.f64 (/.f64 5641895835477563/5000000000000000 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (sqrt.f64 5641895835477563/5000000000000000)) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) (cbrt.f64 5641895835477563/5000000000000000)) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 5641895835477563/5000000000000000 (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 5641895835477563/5000000000000000 (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 5641895835477563/5000000000000000) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (cbrt.f64 5641895835477563/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 -5641895835477563/5000000000000000 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))))) |
(/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) (/.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (sqrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))) (/.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)))) (/.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))))) |
(/.f64 (-.f64 (*.f64 x x) (neg.f64 (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000))) (*.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (+.f64 (*.f64 x x) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (*.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (+.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3)) (+.f64 (*.f64 x x) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3)) (*.f64 1 (+.f64 (*.f64 x x) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000) 3)) (*.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000) (+.f64 (*.f64 x x) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (neg.f64 (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))) (+.f64 (*.f64 x x) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)))) (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)))) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) 1) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (neg.f64 (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) 1) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3)) 1) (+.f64 (*.f64 x x) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2)) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000))) (/.f64 1 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (+.f64 (*.f64 x x) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000) 3)) (/.f64 1 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000) (+.f64 (*.f64 x x) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) (+.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)))))) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)) 1) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)) (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (pow.f64 y -2) -31830988618379068626528276418969/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) 1) (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))) |
(pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
| Outputs |
|---|
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 y 5000000000000000/5641895835477563)) |
(+.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 y 5000000000000000/5641895835477563))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y 5000000000000000/5641895835477563))) |
(+.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 y 5000000000000000/5641895835477563)))) |
(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 x (*.f64 x (pow.f64 y 3))) (*.f64 y 5000000000000000/5641895835477563)))) |
(/.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 -1 x) (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x 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))))))) |
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(/.f64 (-.f64 (pow.f64 x 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (*.f64 x x))) |
(pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 3) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) (neg.f64 x))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(fabs.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(log.f64 (exp.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(exp.f64 (log.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| ✓ | 0.2b | (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| ✓ | 0.3b | (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
| 0.4b | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
Compiled 78 to 48 computations (38.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1.0ms | x | @ | -inf | (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1.0ms | x | @ | 0 | (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1.0ms | y | @ | 0 | (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1.0ms | z | @ | 0 | (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1× | batch-egg-rewrite |
| 902× | associate-/r*_binary64 |
| 560× | associate-/l*_binary64 |
| 227× | associate-+l+_binary64 |
| 166× | add-sqr-sqrt_binary64 |
| 159× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 38 |
| 1 | 336 | 38 |
| 2 | 4456 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) -5641895835477563/5000000000000000 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (sqrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) 2) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) 2) (cbrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) |
| 1× | egg-herbie |
| 543× | associate-+l+_binary64 |
| 379× | associate-+r+_binary64 |
| 359× | associate-/l*_binary64 |
| 333× | +-commutative_binary64 |
| 328× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 722 | 8187 |
| 1 | 1908 | 7416 |
| 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.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 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 4)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3) (pow.f64 x 4)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y) |
x |
x |
(+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y)) x) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 3) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 2) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 2) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 2) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) 2) (*.f64 x x)) y) (*.f64 (-.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) x) 5641895835477563/5000000000000000)) (-.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) x)) y) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 x 3)) y) (*.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) 2) (*.f64 x (-.f64 x (/.f64 z (/.f64 y -5641895835477563/5000000000000000))))) 5641895835477563/5000000000000000)) (+.f64 (pow.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) 2) (*.f64 x (-.f64 x (/.f64 z (/.f64 y -5641895835477563/5000000000000000)))))) y) |
(pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 (/.f64 z y) -5641895835477563/5000000000000000 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 1 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (sqrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) 2) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) 2) (cbrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
| Outputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 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 z (*.f64 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) |
(+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (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 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 4)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3)))))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) |
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (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 5000000000000000/5641895835477563 (/.f64 y z)) |
(/.f64 5000000000000000/5641895835477563 (/.f64 z y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) z)) (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2) (pow.f64 (/.f64 z y) 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) z)) (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2) (pow.f64 (/.f64 z y) 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) z)) (/.f64 5000000000000000/5641895835477563 (/.f64 z y))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(/.f64 5000000000000000/5641895835477563 (/.f64 z y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) z)) (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2) (pow.f64 (/.f64 z y) 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) z)) (/.f64 5000000000000000/5641895835477563 (/.f64 z y)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2) (pow.f64 (/.f64 z y) 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) z)) (/.f64 5000000000000000/5641895835477563 (/.f64 z y))))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) |
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(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 3) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 2) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 2) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) 2) (*.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) 2) (*.f64 x x)) y) (*.f64 (-.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) x) 5641895835477563/5000000000000000)) (-.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) x)) y) |
(/.f64 (-.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z) 2) (*.f64 x x))) (*.f64 5641895835477563/5000000000000000 (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z) x))) (*.f64 y (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z) x))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 2) (*.f64 x x)) y (*.f64 -5641895835477563/5000000000000000 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (pow.f64 x 3)) y) (*.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) 2) (*.f64 x (-.f64 x (/.f64 z (/.f64 y -5641895835477563/5000000000000000))))) 5641895835477563/5000000000000000)) (+.f64 (pow.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) 2) (*.f64 x (-.f64 x (/.f64 z (/.f64 y -5641895835477563/5000000000000000)))))) y) |
(/.f64 (-.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 z y) 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 3))) (*.f64 5641895835477563/5000000000000000 (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z) 2) (*.f64 x (-.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z)))))) (*.f64 y (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z) 2) (*.f64 x (-.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z)))))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 z y) 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 3)) y (*.f64 -5641895835477563/5000000000000000 (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 2) (*.f64 x (+.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 z y))))))) (*.f64 y (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 2) (*.f64 x (+.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 z y))))))) |
(pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 1) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 2) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 3) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 3) 1/3) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) 3)) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(exp.f64 (log.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))) 1)) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(fma.f64 (/.f64 z y) -5641895835477563/5000000000000000 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(fma.f64 1 (/.f64 z (/.f64 y -5641895835477563/5000000000000000)) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(fma.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
(fma.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (sqrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (sqrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) z)) 2) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y))) 2) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) 2) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) 2) (cbrt.f64 (/.f64 z (/.f64 y -5641895835477563/5000000000000000))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) x) |
(+.f64 x (/.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) y)) |
Compiled 30240 to 19685 computations (34.9% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1232 | 8 | 1240 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1237 | 13 | 1250 |
| Status | Error | Program |
|---|---|---|
| 23.7b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) | |
| 19.1b | (+.f64 x (/.f64 (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))) | |
| ▶ | 12.7b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| 23.7b | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) | |
| 35.8b | (+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) | |
| 20.8b | (+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))) | |
| ▶ | 24.8b | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| ▶ | 11.9b | (+.f64 x (/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| ✓ | 0.1b | (+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
| ✓ | 19.8b | (+.f64 x (/.f64 -1 x)) |
| ▶ | 33.1b | (+.f64 x (-.f64 (neg.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x)))) (/.f64 1 x))) |
| ▶ | 24.8b | (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| 35.8b | (+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
Compiled 319 to 231 computations (27.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) |
| ✓ | 0.2b | (/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| ✓ | 0.4b | (/.f64 z -5000000000000000/5641895835477563) |
| 0.4b | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
Compiled 78 to 54 computations (30.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 0.0ms | z | @ | 0 | (/.f64 z -5000000000000000/5641895835477563) |
| 0.0ms | z | @ | inf | (/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 0.0ms | z | @ | -inf | (/.f64 z -5000000000000000/5641895835477563) |
| 0.0ms | z | @ | inf | (/.f64 z -5000000000000000/5641895835477563) |
| 1× | batch-egg-rewrite |
| 871× | associate-/l*_binary64 |
| 472× | associate-/r/_binary64 |
| 225× | associate-+l+_binary64 |
| 170× | add-sqr-sqrt_binary64 |
| 161× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 30 |
| 1 | 344 | 30 |
| 2 | 4682 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z -5000000000000000/5641895835477563) |
(/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 (/.f64 z -5000000000000000/5641895835477563) y) |
| Outputs |
|---|
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-5000000000000000/5641895835477563 y)))))))) |
| 1× | egg-herbie |
| 444× | associate-*r*_binary64 |
| 423× | associate-*l*_binary64 |
| 412× | +-commutative_binary64 |
| 410× | associate-+r+_binary64 |
| 301× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 4051 |
| 1 | 1365 | 3685 |
| 2 | 7344 | 3685 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(/.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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.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 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 4)) (*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.f64 1 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) 1) |
(*.f64 z (/.f64 -5641895835477563/5000000000000000 y)) |
(*.f64 z (/.f64 1 (*.f64 -5000000000000000/5641895835477563 y))) |
(*.f64 (*.f64 z -5641895835477563/5000000000000000) (/.f64 1 y)) |
(*.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 1) |
(*.f64 1 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) |
(*.f64 (/.f64 1 y) (*.f64 z -5641895835477563/5000000000000000)) |
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z -5641895835477563/5000000000000000) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) (sqrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) (*.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) (pow.f64 (cbrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 2) (cbrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) (/.f64 1 y))) |
(*.f64 (*.f64 z 5641895835477563/5000000000000000) (/.f64 1 (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 z -5641895835477563/5000000000000000) (pow.f64 y -1/2)) (pow.f64 y -1/2)) |
(*.f64 (*.f64 (*.f64 z -5641895835477563/5000000000000000) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (/.f64 (cbrt.f64 y) -5641895835477563/5000000000000000))) |
(*.f64 (/.f64 z y) -5641895835477563/5000000000000000) |
(*.f64 (/.f64 (*.f64 z -5641895835477563/5000000000000000) (sqrt.f64 y)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 y) 2) -5641895835477563/5000000000000000)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 z (/.f64 (neg.f64 y) -5641895835477563/5000000000000000)) -1) |
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 z 5641895835477563/5000000000000000)) |
(*.f64 (/.f64 1 (*.f64 -5000000000000000/5641895835477563 y)) z) |
(*.f64 (/.f64 (/.f64 1 y) -5000000000000000/5641895835477563) z) |
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) -5000000000000000/5641895835477563)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) -5000000000000000/5641895835477563)) |
(*.f64 (/.f64 z 1) (/.f64 -5641895835477563/5000000000000000 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 1) (/.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) y) (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) y)) |
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) (sqrt.f64 y))) |
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 -5641895835477563/5000000000000000 (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z -5641895835477563/5000000000000000)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 (/.f64 (sqrt.f64 z) (*.f64 -5000000000000000/5641895835477563 y)) (sqrt.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 2) y) (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000))) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000)) 2))) (cbrt.f64 (*.f64 z -5641895835477563/5000000000000000))) |
(*.f64 (/.f64 (/.f64 1 y) 1) (*.f64 z -5641895835477563/5000000000000000)) |
(*.f64 (/.f64 (/.f64 1 y) 5000000000000000/5641895835477563) (neg.f64 z)) |
(*.f64 (/.f64 (/.f64 1 y) (/.f64 -5000000000000000/5641895835477563 (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 1 y) (/.f64 -5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 -5000000000000000/5641895835477563 y)) (cbrt.f64 z)) |
(pow.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 3) |
(pow.f64 (*.f64 y (/.f64 -5000000000000000/5641895835477563 z)) -1) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 3) 1/3) |
(neg.f64 (/.f64 z (/.f64 (neg.f64 y) -5641895835477563/5000000000000000))) |
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2)) |
(log.f64 (exp.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))))) |
(cbrt.f64 (pow.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(exp.f64 (log.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
| Outputs |
|---|
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3))))) (/.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 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3)))) (/.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 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.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 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (/.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)) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 4)) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) |
(+.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4))) (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 (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)))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 z z))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 z z)))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 z z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 z z))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)) (pow.f64 z 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 z z)))) |
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(cbrt.f64 (pow.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 3)) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(expm1.f64 (log1p.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(exp.f64 (log.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 1)) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(log1p.f64 (expm1.f64 (/.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| ✓ | 0.4b | (*.f64 y 5000000000000000/5641895835477563) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | 0 | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | -inf | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | inf | (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| 0.0ms | x | @ | 0 | (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| 1× | batch-egg-rewrite |
| 705× | add-sqr-sqrt_binary64 |
| 692× | *-un-lft-identity_binary64 |
| 654× | add-cube-cbrt_binary64 |
| 648× | add-cbrt-cube_binary64 |
| 642× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 130 | 9 |
| 2 | 1707 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 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 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x))))) |
| 1× | egg-herbie |
| 637× | associate-+r+_binary64 |
| 470× | associate-+l+_binary64 |
| 350× | unswap-sqr_binary64 |
| 337× | fma-def_binary64 |
| 294× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 633 |
| 1 | 260 | 590 |
| 2 | 1094 | 574 |
| 3 | 4547 | 574 |
| 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 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(-.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 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 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) |
(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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(-.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(*.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) |
(*.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(*.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2)) |
(log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x) |
(fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
| 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 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(-.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 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 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) |
(*.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) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1)) |
(*.f64 5000000000000000/5641895835477563 y) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(-.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (fma.f64 5000000000000000/5641895835477563 y x) (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(*.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (fma.f64 5000000000000000/5641895835477563 y x) (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) (*.f64 x (fma.f64 y -5000000000000000/5641895835477563 x)))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (fma.f64 5000000000000000/5641895835477563 y x) (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) (*.f64 x (fma.f64 y -5000000000000000/5641895835477563 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (+.f64 x (*.f64 -5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (fma.f64 5000000000000000/5641895835477563 y x) (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) (*.f64 x (fma.f64 y -5000000000000000/5641895835477563 x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) (*.f64 x (fma.f64 y -5000000000000000/5641895835477563 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (fma.f64 5000000000000000/5641895835477563 y x) (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (*.f64 (fma.f64 5000000000000000/5641895835477563 y x) (fma.f64 y -5000000000000000/5641895835477563 x)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) (*.f64 x (fma.f64 y -5000000000000000/5641895835477563 x)))) |
(pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.2b | (/.f64 -5641895835477563/5000000000000000 y) | |
| ✓ | 0.3b | (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)) |
Compiled 22 to 16 computations (27.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)) |
| 0.0ms | y | @ | 0 | (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)) |
| 0.0ms | x | @ | inf | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | x | @ | -inf | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | y | @ | -inf | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| 1× | batch-egg-rewrite |
| 937× | add-sqr-sqrt_binary64 |
| 920× | *-un-lft-identity_binary64 |
| 869× | add-cube-cbrt_binary64 |
| 861× | add-cbrt-cube_binary64 |
| 86× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 184 | 9 |
| 2 | 2406 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 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 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.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 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 (neg.f64 y))))) (#(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 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 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 -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 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 exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (+.f64 x (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y -5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x))))) |
| 1× | egg-herbie |
| 705× | associate-/r*_binary64 |
| 411× | associate--r+_binary64 |
| 345× | +-commutative_binary64 |
| 303× | associate-+r-_binary64 |
| 293× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 713 |
| 1 | 312 | 664 |
| 2 | 1227 | 654 |
| 3 | 4899 | 654 |
| 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 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) 1) |
(*.f64 -1 (*.f64 y -5000000000000000/5641895835477563)) |
(*.f64 y 5000000000000000/5641895835477563) |
(*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) |
(*.f64 1 (*.f64 y 5000000000000000/5641895835477563)) |
(*.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.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 (*.f64 y -5000000000000000/5641895835477563) -1) |
(*.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 -5000000000000000/5641895835477563 (neg.f64 y)) |
(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 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3) |
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1) |
(neg.f64 (*.f64 y -5000000000000000/5641895835477563)) |
(sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))) |
(cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563)))) |
(*.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1) |
(*.f64 1 (fma.f64 5000000000000000/5641895835477563 y x)) |
(*.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x))) |
(*.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 y -5000000000000000/5641895835477563)))) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3) |
(pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2)) |
(log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))) |
(cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x))) |
(exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x))) |
(fma.f64 -1 (*.f64 y -5000000000000000/5641895835477563) x) |
(fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x) |
(fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
| 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) |
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(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
| ✓ | 9.4b | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
Compiled 30 to 14 computations (53.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 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))) |
| 0.0ms | x | @ | inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | x | @ | -inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 905× | add-sqr-sqrt_binary64 |
| 892× | *-un-lft-identity_binary64 |
| 841× | add-cube-cbrt_binary64 |
| 833× | add-cbrt-cube_binary64 |
| 80× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 159 | 17 |
| 2 | 2187 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y 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 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.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 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.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 5641895835477563/5000000000000000 (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(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 1 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 y (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 721× | associate-/l*_binary64 |
| 638× | associate-*r/_binary64 |
| 582× | unswap-sqr_binary64 |
| 447× | *-commutative_binary64 |
| 446× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 1546 |
| 1 | 547 | 1450 |
| 2 | 2633 | 1450 |
| 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))) |
(-.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 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.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 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.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 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) |
(*.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 (-.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))))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3) |
(pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -1) |
(neg.f64 (/.f64 y (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) |
(log.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(exp.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1)) |
(+.f64 (*.f64 y (neg.f64 x)) 5641895835477563/5000000000000000) |
(*.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1) |
(*.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(*.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)))) |
(/.f64 1 (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
(/.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) |
(pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) |
(pow.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) |
(log.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(cbrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(exp.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (-.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 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y 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))) |
(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 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (pow.f64 (*.f64 y x) 2))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (pow.f64 (*.f64 y 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)))) |
(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 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 y (pow.f64 (*.f64 y x) 2)))))) |
(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 y (pow.f64 (*.f64 y 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 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -1 x)) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y 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 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 2))) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) |
(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 (/.f64 1 x) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 2))) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.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)) |
(+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y 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 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 2))) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) |
(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 (/.f64 1 x) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 2))) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(*.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)) |
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(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 1/3) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -1) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(neg.f64 (/.f64 y (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) 2)) |
(fabs.f64 (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))) |
(fabs.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(log.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3)) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(exp.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 (*.f64 y (neg.f64 x)) 5641895835477563/5000000000000000) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (fma.f64 y x 5641895835477563/5000000000000000)) |
(*.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x 5641895835477563/5000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(/.f64 1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)))) |
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (fma.f64 y x 5641895835477563/5000000000000000)) |
(/.f64 1 (/.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)))) |
(*.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x 5641895835477563/5000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (fma.f64 y x 5641895835477563/5000000000000000)) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(*.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x 5641895835477563/5000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(/.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (fma.f64 y x 5641895835477563/5000000000000000)) |
(/.f64 (neg.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(*.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x 5641895835477563/5000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))) |
(*.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (fma.f64 y x 5641895835477563/5000000000000000)) |
(/.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) |
(*.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y x) (+.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(/.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x 5641895835477563/5000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(pow.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) 1/3) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) |
(fabs.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)) |
(fabs.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(log.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(exp.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
| ✓ | 0.2b | (*.f64 5641895835477563/5000000000000000 z) |
| ✓ | 2.5b | (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) |
| ✓ | 7.3b | (*.f64 y (*.f64 x x)) |
Compiled 84 to 45 computations (46.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) |
| 1.0ms | y | @ | 0 | (*.f64 y (*.f64 x x)) |
| 1.0ms | z | @ | 0 | (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 806× | associate-/l*_binary64 |
| 771× | associate-*r/_binary64 |
| 575× | associate-*l/_binary64 |
| 562× | *-commutative_binary64 |
| 172× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 219 | 30 |
| 2 | 3067 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (*.f64 x x)) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
| Outputs |
|---|
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5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000))))) |
| 1× | egg-herbie |
| 418× | times-frac_binary64 |
| 334× | associate-*r*_binary64 |
| 301× | distribute-lft-neg-in_binary64 |
| 280× | distribute-rgt-neg-in_binary64 |
| 257× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 3597 |
| 1 | 1054 | 3204 |
| 2 | 5953 | 3203 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2))) |
5641895835477563/5000000000000000 |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 5641895835477563/5000000000000000 z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x x)))) 1) |
(pow.f64 (*.f64 y (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))))) 1) |
(*.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (/.f64 (/.f64 1 y) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))) 1) |
(*.f64 1 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))) |
(*.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (/.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (*.f64 y (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y)) x) (/.f64 (sqrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (*.f64 y (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x)))) 2) (cbrt.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 y) (*.f64 x x)) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(*.f64 (-.f64 -5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (/.f64 1 (*.f64 y (neg.f64 (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (*.f64 y (*.f64 x x))) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
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(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))) (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))) |
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))) (/.f64 1 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000))))) |
(/.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) |
(/.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))))) |
(/.f64 (sqrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (/.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))) (sqrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) |
(/.f64 (sqrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (sqrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (cbrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))))) (/.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))) (cbrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (cbrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)) (cbrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))))) |
(/.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (neg.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (neg.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (-.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) |
(/.f64 (+.f64 z 1) 5000000000000000/5641895835477563) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))))) (neg.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (sqrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))))) (sqrt.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (sqrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (cbrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))))) (cbrt.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (cbrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) (cbrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) 1) (neg.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) 1) (neg.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (-.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000) 1) (-.f64 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (sqrt.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (sqrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)) (cbrt.f64 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)) (cbrt.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 (-.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(/.f64 (*.f64 (-.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) 3)) (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 z -5641895835477563/5000000000000000)))) (+.f64 (+.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)))) (*.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 (*.f64 (-.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (/.f64 1 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) |
(/.f64 (*.f64 (+.f64 5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 3)) (/.f64 1 (+.f64 (*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))))) (+.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (-.f64 (*.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) |
(pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(exp.f64 (log.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(log1p.f64 (expm1.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000) |
(fma.f64 1 (*.f64 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) |
(fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000) |
| Outputs |
|---|
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(/.f64 5641895835477563/5000000000000000 (*.f64 y (pow.f64 x 2))) |
(/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))))) |
(fma.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))))) |
(fma.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))))) |
(fma.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x)))) |
(*.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (*.f64 x x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))))) |
(fma.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))))) |
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(fma.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 5641895835477563/5000000000000000) |
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) |
Compiled 18517 to 12103 computations (34.6% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 799 | 2 | 801 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 804 | 10 | 814 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.7b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| ✓ | 12.7b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ▶ | 23.7b | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
| ▶ | 24.8b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ▶ | 20.8b | (+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))) |
| ✓ | 24.8b | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| ✓ | 0.1b | (+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
| ✓ | 19.8b | (+.f64 x (/.f64 -1 x)) |
| ✓ | 24.8b | (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| 21.3b | x |
Compiled 101 to 75 computations (25.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) |
| ✓ | 0.2b | (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y) |
| ✓ | 0.2b | (*.f64 -5641895835477563/5000000000000000 z) |
| ✓ | 0.3b | (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)) |
Compiled 44 to 32 computations (27.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y) |
| 1.0ms | y | @ | 0 | (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)) |
| 1.0ms | y | @ | inf | (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)) |
| 1.0ms | y | @ | -inf | (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)) |
| 1.0ms | z | @ | 0 | (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)) |
| 1× | batch-egg-rewrite |
| 826× | associate-/r*_binary64 |
| 753× | associate-*l/_binary64 |
| 644× | associate-/l*_binary64 |
| 511× | *-commutative_binary64 |
| 297× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 227 | 27 |
| 2 | 2940 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y)) |
(*.f64 -5641895835477563/5000000000000000 z) |
(/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) (sqrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) 2) (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z 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| 1× | egg-herbie |
| 525× | associate-*r*_binary64 |
| 408× | associate-*l*_binary64 |
| 321× | +-commutative_binary64 |
| 313× | *-commutative_binary64 |
| 306× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 510 | 4096 |
| 1 | 1493 | 3588 |
| 2 | 7730 | 3588 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))) |
(/.f64 -5641895835477563/5000000000000000 y) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
-5641895835477563/5000000000000000 |
(*.f64 -5641895835477563/5000000000000000 z) |
(*.f64 -5641895835477563/5000000000000000 z) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))) 1) |
(*.f64 -1 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(*.f64 y (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(*.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)) 1) |
(*.f64 1 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) |
(*.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) (sqrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))) |
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) |
(*.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563))) 2) (cbrt.f64 (/.f64 y (/.f64 (+.f64 z 1) 5000000000000000/5641895835477563)))) |
(*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) y) |
(*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (/.f64 y 1)) |
(*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) (*.f64 -1 (neg.f64 y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))) 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 (-.f64 (pow.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 3) 5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))) (+.f64 (*.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 3) 5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 -5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (+.f64 (*.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) 3) 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (+.f64 (+.f64 (*.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))) 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000) (*.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) 31830988618379068626528276418969/25000000000000000000000000000000)))) |
(/.f64 (+.f64 z 1) -5000000000000000/5641895835477563) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000)) 1) (neg.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) 1) (neg.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) (sqrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 2)) (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 2)) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))) 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) 3) 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (+.f64 (+.f64 (*.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))) 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000) (*.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) (+.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 3) 5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) (+.f64 (*.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000) 1) (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(/.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) 1) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) |
(/.f64 (/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (sqrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) (sqrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(/.f64 (/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))))) (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(fma.f64 1 (*.f64 -5641895835477563/5000000000000000 z) -5641895835477563/5000000000000000) |
(fma.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) -5641895835477563/5000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) -5641895835477563/5000000000000000) |
| 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 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3)))))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 y (pow.f64 z 3)))))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 z z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 z z)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z z)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (*.f64 z z)) (/.f64 y (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 z z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (/.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 z z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
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(/.f64 (/.f64 (+.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) (pow.f64 z 3))) -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) (+.f64 (*.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) |
(/.f64 (fma.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 6) -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 3) 5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) (+.f64 (*.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) |
(/.f64 (+.f64 (*.f64 -5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z 3) 3)) -5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))) (+.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) (pow.f64 z 3))) (+.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) |
(/.f64 (fma.f64 -5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z 3) 3) -5791960252979012394618161944550870335017954211713821107691674913023706433776010222202218812092341831584509743996409612316389692240550218351323/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 31830988618379068626528276418969/25000000000000000000000000000000)) (fma.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 6) (fma.f64 -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3) 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) |
(/.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000) 1) (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(/.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(/.f64 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)) -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) |
(/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 -5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
(/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) -31830988618379068626528276418969/25000000000000000000000000000000) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(/.f64 (/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) 1) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) |
(/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) |
(/.f64 (fma.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 (/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (sqrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) (sqrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) |
(/.f64 (fma.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 31830988618379068626528276418969/25000000000000000000000000000000))) |
(/.f64 (/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))))) (cbrt.f64 (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (+.f64 (*.f64 z -31830988618379068626528276418969/25000000000000000000000000000000) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z)))))) |
(/.f64 (+.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)) (+.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))))) |
(/.f64 (fma.f64 (pow.f64 z 3) -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z) (fma.f64 z -31830988618379068626528276418969/25000000000000000000000000000000 31830988618379068626528276418969/25000000000000000000000000000000))) |
(pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 1) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 2) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)) 3) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3) 1/3) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) 2)) |
(fabs.f64 (fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000)) |
(log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000)))) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) 3)) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000))) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(fma.f64 -5641895835477563/5000000000000000 z -5641895835477563/5000000000000000) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(fma.f64 1 (*.f64 -5641895835477563/5000000000000000 z) -5641895835477563/5000000000000000) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(fma.f64 (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) (sqrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) -5641895835477563/5000000000000000) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) 2) (cbrt.f64 (*.f64 -5641895835477563/5000000000000000 z)) -5641895835477563/5000000000000000) |
(fma.f64 z -5641895835477563/5000000000000000 -5641895835477563/5000000000000000) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ✓ | 0.3b | (/.f64 y 5641895835477563/5000000000000000) |
Compiled 14 to 9 computations (35.7% saved)
9 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) |
| 0.0ms | y | @ | -inf | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 0.0ms | x | @ | -inf | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 1× | batch-egg-rewrite |
| 761× | add-sqr-sqrt_binary64 |
| 743× | *-un-lft-identity_binary64 |
| 707× | add-cube-cbrt_binary64 |
| 701× | add-cbrt-cube_binary64 |
| 695× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 138 | 9 |
| 2 | 1855 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 5641895835477563/5000000000000000) |
(+.f64 x (/.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 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x))))) |
| 1× | egg-herbie |
| 746× | associate-+r+_binary64 |
| 567× | associate-+l+_binary64 |
| 431× | times-frac_binary64 |
| 370× | fma-def_binary64 |
| 287× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 686 |
| 1 | 300 | 661 |
| 2 | 1250 | 627 |
| 3 | 5474 | 627 |
| 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 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(-.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 (/.f64 5641895835477563/5000000000000000 y) -1) |
(pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3) |
(neg.f64 (/.f64 y -5641895835477563/5000000000000000)) |
(sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) |
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(-.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) |
(*.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(*.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) |
(*.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(*.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2)) |
(log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x) |
(fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
| 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 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(-.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 (/.f64 5641895835477563/5000000000000000 y) -1) |
(*.f64 5000000000000000/5641895835477563 y) |
(pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) |
(neg.f64 (/.f64 y -5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 y) |
(sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) |
(*.f64 5000000000000000/5641895835477563 y) |
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) |
(expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) 1)) |
(*.f64 5000000000000000/5641895835477563 y) |
(log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563))) |
(*.f64 5000000000000000/5641895835477563 y) |
(-.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(*.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -25000000000000000000000000000000/31830988618379068626528276418969)) (fma.f64 y -5000000000000000/5641895835477563 x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 5000000000000000/5641895835477563 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x x (*.f64 5000000000000000/5641895835477563 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -5000000000000000/5641895835477563 x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) |
(pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x))) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563)) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
| ✓ | 0.2b | (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
Compiled 27 to 14 computations (48.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
| 1.0ms | z | @ | inf | (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
| 1.0ms | z | @ | -inf | (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
| 1.0ms | z | @ | 0 | (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
| 1× | batch-egg-rewrite |
| 763× | add-sqr-sqrt_binary64 |
| 751× | *-un-lft-identity_binary64 |
| 707× | add-cube-cbrt_binary64 |
| 698× | add-cbrt-cube_binary64 |
| 691× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 144 | 15 |
| 2 | 1860 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (exp.f64 z)) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 z)) (/.f64 y 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (/.f64 (sqrt.f64 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 5641895835477563/5000000000000000) (/.f64 (cbrt.f64 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (+.f64 z (log.f64 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 y) (+.f64 z (log.f64 5641895835477563/5000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))) (#(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 (exp.f64 z) 5641895835477563/5000000000000000))))))) |
| 1× | egg-herbie |
| 770× | associate-*r/_binary64 |
| 600× | associate-*l/_binary64 |
| 539× | fma-def_binary64 |
| 425× | unswap-sqr_binary64 |
| 347× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 835 |
| 1 | 437 | 820 |
| 2 | 1701 | 805 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.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)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 1) |
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) |
(*.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1) |
(*.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 (/.f64 y (exp.f64 z)) 5000000000000000/5641895835477563) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))) |
(*.f64 (/.f64 1 (exp.f64 z)) (/.f64 y 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(*.f64 (/.f64 (sqrt.f64 y) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (/.f64 (sqrt.f64 y) (exp.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 5641895835477563/5000000000000000) (/.f64 (cbrt.f64 y) (exp.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3) 1/3) |
(pow.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) -1) |
(neg.f64 (/.f64 y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(exp.f64 (-.f64 (log.f64 y) (+.f64 z (log.f64 5641895835477563/5000000000000000)))) |
(exp.f64 (*.f64 (-.f64 (log.f64 y) (+.f64 z (log.f64 5641895835477563/5000000000000000))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(-.f64 (+.f64 1 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 1) |
(pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1) |
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3) 1/3) |
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2))) |
(log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000))) |
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 -5000000000000000/5641895835477563 y) z)) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 y -5000000000000000/5641895835477563))) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) |
(+.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 (*.f64 -5000000000000000/5641895835477563 y) z))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 z (*.f64 z (*.f64 y -1/2))) (fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 y -5000000000000000/5641895835477563)))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z (*.f64 y -1/2))) (*.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)))))) |
(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 z (*.f64 z (*.f64 y -1/2))) (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))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 z (*.f64 z (*.f64 y -1/2))) (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) |
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) |
(fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 z (*.f64 z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) |
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (*.f64 (pow.f64 z 3) 5641895835477563/30000000000000000)))) |
(+.f64 (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (*.f64 (pow.f64 z 3) 5641895835477563/30000000000000000)) |
(fma.f64 z (*.f64 z 5641895835477563/10000000000000000) (fma.f64 z 5641895835477563/5000000000000000 (fma.f64 (pow.f64 z 3) 5641895835477563/30000000000000000 5641895835477563/5000000000000000))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 1 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 y (exp.f64 z)) 5000000000000000/5641895835477563) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 1 (exp.f64 z)) (/.f64 y 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(/.f64 (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) |
(/.f64 y (*.f64 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z)))) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (sqrt.f64 y) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (/.f64 (sqrt.f64 y) (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 5641895835477563/5000000000000000) (/.f64 (cbrt.f64 y) (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(/.f64 (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) |
(/.f64 y (*.f64 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z)))) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z)))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z)))) (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))) |
(pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 3) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3) 1/3) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(pow.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) -1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(neg.f64 (/.f64 y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 2)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(exp.f64 (-.f64 (log.f64 y) (+.f64 z (log.f64 5641895835477563/5000000000000000)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(exp.f64 (*.f64 (-.f64 (log.f64 y) (+.f64 z (log.f64 5641895835477563/5000000000000000))) 1)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) |
(-.f64 (+.f64 1 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 1) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3) 1/3) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2))) |
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z)))) |
(fabs.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1)) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(*.f64 (exp.f64 z) 5641895835477563/5000000000000000) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| ✓ | 0.4b | (*.f64 5000000000000000/5641895835477563 y) |
Compiled 26 to 14 computations (46.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 0.0ms | y | @ | 0 | (*.f64 5000000000000000/5641895835477563 y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 1× | batch-egg-rewrite |
| 765× | add-sqr-sqrt_binary64 |
| 753× | *-un-lft-identity_binary64 |
| 709× | add-cube-cbrt_binary64 |
| 700× | add-cbrt-cube_binary64 |
| 693× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 144 | 13 |
| 2 | 1863 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))))) (#(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 5000000000000000/5641895835477563 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (*.f64 y (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 1 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 5000000000000000/5641895835477563 (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) (sqrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (*.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) (pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 2) (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (*.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -5000000000000000/5641895835477563) (/.f64 1 (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (exp.f64 z))) (/.f64 5000000000000000/5641895835477563 (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 1) (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 y (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 5000000000000000/5641895835477563 (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (cbrt.f64 (exp.f64 (+.f64 z z)))) (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))))) (#(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 (exp.f64 z) y)))))))) |
| 1× | egg-herbie |
| 559× | associate-/l*_binary64 |
| 415× | fma-def_binary64 |
| 373× | unswap-sqr_binary64 |
| 373× | *-commutative_binary64 |
| 291× | associate-+l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 814 |
| 1 | 402 | 785 |
| 2 | 1818 | 775 |
| 3 | 6757 | 775 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.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)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(-.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1) |
(pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3) |
(pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) |
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) |
(cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y))) |
(exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y))) |
(-.f64 (+.f64 1 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 1) |
(*.f64 5000000000000000/5641895835477563 (*.f64 y (exp.f64 (neg.f64 z)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 1 (/.f64 (exp.f64 z) y))) |
(*.f64 y (*.f64 5000000000000000/5641895835477563 (exp.f64 (neg.f64 z)))) |
(*.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 (neg.f64 z))) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 1) |
(*.f64 1 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) |
(*.f64 (sqrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) (sqrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))) |
(*.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (*.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 (neg.f64 z)))) |
(*.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) (pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 2) (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (*.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 (*.f64 y -5000000000000000/5641895835477563) (/.f64 1 (neg.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 y (sqrt.f64 (exp.f64 z))) (/.f64 5000000000000000/5641895835477563 (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y) |
(*.f64 (/.f64 y 1) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 1) (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (exp.f64 z))) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (sqrt.f64 (exp.f64 z))) (/.f64 y (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 y (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 y (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 5000000000000000/5641895835477563 (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (cbrt.f64 (exp.f64 (+.f64 z z)))) (/.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (cbrt.f64 (exp.f64 (+.f64 z z)))) (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))) |
(pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 3) |
(pow.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 3) 1/3) |
(pow.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) -1) |
(neg.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (neg.f64 (exp.f64 z)))) |
(sqrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 2)) |
(log.f64 (exp.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))) |
(cbrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)))) |
(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 (exp.f64 z) y)))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
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(pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))) 3) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(pow.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 3) 1/3) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(pow.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) -1) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(neg.f64 (/.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)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(sqrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 2)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(log.f64 (exp.f64 (/.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 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(cbrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y)) 3)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(expm1.f64 (log1p.f64 (/.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 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(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)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(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)) |
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
(log1p.f64 (expm1.f64 (/.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 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) |
Compiled 9832 to 6742 computations (31.4% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 3 | 546 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 544 | 12 | 556 |
| Status | Error | Program |
|---|---|---|
| 20.8b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))) | |
| ✓ | 23.7b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| ✓ | 12.7b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ✓ | 23.7b | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
| ✓ | 24.8b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 20.8b | (+.f64 x (/.f64 -1 (/.f64 (/.f64 (+.f64 z 1) -5000000000000000/5641895835477563) y))) | |
| ✓ | 24.8b | (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
| ✓ | 0.1b | (+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
| ✓ | 19.8b | (+.f64 x (/.f64 -1 x)) |
| 28.6b | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) | |
| ✓ | 24.8b | (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| 21.3b | x |
Compiled 125 to 93 computations (25.6% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))) |
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))) |
(+.f64 x (/.f64 -1 (/.f64 (/.f64 (+.f64 z 1) -5000000000000000/5641895835477563) y))) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (-.f64 (neg.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x)))) (/.f64 1 x))) |
(+.f64 x (/.f64 (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))) |
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 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 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
7 calls:
| 17.0ms | z |
| 14.0ms | x |
| 12.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 12.0ms | y |
| 5.0ms | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 0.1b | 1 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.1b | 1 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.1b | 1 | (exp.f64 z) |
Compiled 297 to 191 computations (35.7% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))) |
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))) |
(+.f64 x (/.f64 -1 (/.f64 (/.f64 (+.f64 z 1) -5000000000000000/5641895835477563) y))) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (/.f64 (/.f64 z -5000000000000000/5641895835477563) y) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (-.f64 (neg.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x)))) (/.f64 1 x))) |
(+.f64 x (/.f64 (neg.f64 (-.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (-.f64 (*.f64 x x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))))) |
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) |
x |
5 calls:
| 32.0ms | z |
| 29.0ms | x |
| 21.0ms | y |
| 6.0ms | (exp.f64 z) |
| 6.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 9.3b | 3 | x |
| 10.3b | 2 | y |
| 0.5b | 3 | z |
| 0.5b | 3 | (exp.f64 z) |
| 0.5b | 3 | (exp.f64 z) |
Compiled 238 to 155 computations (34.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000070351196262 | 1.001889050117973 |
| 0.0ms | 0.0 | 9.865639004691156e-12 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 z 1))) |
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) y))) |
(+.f64 x (/.f64 -1 (/.f64 (/.f64 (+.f64 z 1) -5000000000000000/5641895835477563) y))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
x |
3 calls:
| 23.0ms | z |
| 21.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 1 | x |
| 11.1b | 3 | y |
| 0.5b | 3 | z |
Compiled 129 to 85 computations (34.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.035094879758075e-6 | 0.0018872681066516453 |
| 17.0ms | -719729.4647437267 | -25.341963203621095 |
| 31.0ms | 256× | body | 256 | valid |
Compiled 341 to 263 computations (22.9% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
x |
3 calls:
| 55.0ms | x |
| 25.0ms | z |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 5 | x |
| 13.3b | 3 | y |
| 6.1b | 5 | z |
Compiled 69 to 44 computations (36.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 2.699824214001316e-28 | 5.340971181422375e-28 |
| 8.0ms | -2.0571812148373444e-109 | -1.416944132052963e-109 |
| 9.0ms | -6.668332385334015e-76 | -3.809212627220357e-76 |
| 15.0ms | -0.0007447359879835016 | -6.3245979574068e-6 |
| 64.0ms | 304× | body | 256 | valid |
Compiled 431 to 326 computations (24.4% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
x |
3 calls:
| 24.0ms | z |
| 23.0ms | x |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 5 | x |
| 13.3b | 3 | y |
| 6.1b | 5 | z |
Compiled 60 to 38 computations (36.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.699824214001316e-28 | 5.340971181422375e-28 |
| 13.0ms | -2.0571812148373444e-109 | -1.416944132052963e-109 |
| 8.0ms | -6.668332385334015e-76 | -3.809212627220357e-76 |
| 15.0ms | -0.0007447359879835016 | -6.3245979574068e-6 |
| 39.0ms | 304× | body | 256 | valid |
Compiled 409 to 315 computations (23% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 5000000000000000/5641895835477563 (/.f64 z y))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) |
x |
3 calls:
| 38.0ms | z |
| 22.0ms | x |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 5 | x |
| 13.3b | 3 | y |
| 6.1b | 5 | z |
Compiled 52 to 34 computations (34.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 2.699824214001316e-28 | 5.340971181422375e-28 |
| 7.0ms | -2.0571812148373444e-109 | -1.416944132052963e-109 |
| 9.0ms | -6.668332385334015e-76 | -3.809212627220357e-76 |
| 30.0ms | -0.0007447359879835016 | -6.3245979574068e-6 |
| 70.0ms | 304× | body | 256 | valid |
Compiled 385 to 307 computations (20.3% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
x |
3 calls:
| 32.0ms | x |
| 19.0ms | z |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 5 | x |
| 13.3b | 3 | y |
| 6.1b | 5 | z |
Compiled 38 to 25 computations (34.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.699824214001316e-28 | 5.340971181422375e-28 |
| 14.0ms | -2.0571812148373444e-109 | -1.416944132052963e-109 |
| 8.0ms | -6.668332385334015e-76 | -3.809212627220357e-76 |
| 15.0ms | -0.0007447359879835016 | -6.3245979574068e-6 |
| 41.0ms | 304× | body | 256 | valid |
Compiled 347 to 269 computations (22.5% saved)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
x |
3 calls:
| 17.0ms | z |
| 15.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 5 | x |
| 13.3b | 3 | y |
| 6.1b | 5 | z |
Compiled 26 to 18 computations (30.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.699824214001316e-28 | 5.340971181422375e-28 |
| 14.0ms | -1.7495244183233788e-100 | -2.690242252668461e-101 |
| 9.0ms | -6.668332385334015e-76 | -3.809212627220357e-76 |
| 15.0ms | -0.0007447359879835016 | -6.3245979574068e-6 |
| 40.0ms | 336× | body | 256 | valid |
Compiled 383 to 297 computations (22.5% saved)
Total -19.8b remaining (-132.5%)
Threshold costs -19.8b (-132.5%)
| Inputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
x |
(+.f64 x (*.f64 y 5000000000000000/5641895835477563)) |
x |
3 calls:
| 14.0ms | x |
| 9.0ms | z |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 5 | x |
| 16.3b | 3 | y |
| 15.2b | 3 | z |
Compiled 21 to 15 computations (28.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 4.5256361676026736e-34 | 8.220728168630069e-21 |
| 19.0ms | 1.6457056276066017e-167 | 9.459835491339651e-157 |
| 17.0ms | 5.890106732790325e-233 | 4.04884468931139e-228 |
| 22.0ms | -8.020574224115639e-103 | -2.279103915407712e-121 |
| 69.0ms | 624× | body | 256 | valid |
Compiled 567 to 444 computations (21.7% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 4× | not-or_bool |
| 3× | not-not_bool |
| 3× | if-if-or-not_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 432 |
| 1 | 140 | 428 |
| 2 | 151 | 428 |
| 3 | 162 | 426 |
| 4 | 169 | 426 |
| 5 | 174 | 426 |
| 6 | 175 | 426 |
| 7 | 176 | 426 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x)) |
(if (<=.f64 z -105) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4288867997137471/2305843009213693952) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 z -6640827866535439/18446744073709551616) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) (if (<=.f64 z -4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -6050532056176733/295147905179352825856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) (if (<=.f64 z -7869210252479119/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z 4683156491691431/11150372599265311570767859136324180752990208) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -2582544170319337/18446744073709551616) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) (if (<=.f64 z -4336527155264031/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -700976274800963/36893488147419103232) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3666664757402075/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 z -8249978490502303/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))) |
(if (<=.f64 z -4722366482869645/295147905179352825856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3666664757402075/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 z -6698341053387061/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)))) |
(if (<=.f64 x -8318009082362445/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (<=.f64 x 6828046779268971/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 x 1742796538930017/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) x (if (<=.f64 x 348449143727041/174224571863520493293247799005065324265472) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)))) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 -1 (+.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))) |
(+.f64 x (/.f64 -1 (+.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2254051613498933/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x)) |
(if (<=.f64 z -105) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4288867997137471/2305843009213693952) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)) |
(if (<=.f64 z -6640827866535439/18446744073709551616) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) (if (<=.f64 z -4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -6640827866535439/18446744073709551616) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) (if (<=.f64 z -4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (/.f64 y (*.f64 x (neg.f64 y)))) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -6050532056176733/295147905179352825856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) (if (<=.f64 z -7869210252479119/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z 4683156491691431/11150372599265311570767859136324180752990208) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -6050532056176733/295147905179352825856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) (if (<=.f64 z -7869210252479119/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 x (/.f64 y (*.f64 x (neg.f64 y)))) (if (<=.f64 z 4683156491691431/11150372599265311570767859136324180752990208) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -2582544170319337/18446744073709551616) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -6355552246163597/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) (if (<=.f64 z -4336527155264031/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))) x)))) |
(if (<=.f64 z -700976274800963/36893488147419103232) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3666664757402075/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 z -8249978490502303/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)))) |
(if (<=.f64 z -4722366482869645/295147905179352825856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -3666664757402075/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 z -6698341053387061/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2899096875808981/5575186299632655785383929568162090376495104) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)))) |
(if (<=.f64 x -8318009082362445/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (<=.f64 x 6828046779268971/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) (if (<=.f64 x 1742796538930017/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) x (if (<=.f64 x 348449143727041/174224571863520493293247799005065324265472) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)))) |
(if (<=.f64 x -8318009082362445/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (or (<=.f64 x 6828046779268971/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (not (or (<=.f64 x 1742796538930017/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (not (<=.f64 x 348449143727041/174224571863520493293247799005065324265472))))) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)) |
(if (<=.f64 x -8318009082362445/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) x (if (or (<=.f64 x 6828046779268971/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (and (not (<=.f64 x 1742796538930017/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688)) (<=.f64 x 348449143727041/174224571863520493293247799005065324265472))) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x)) |
x |
Compiled 324 to 222 computations (31.5% saved)
| 1× | egg-herbie |
| 551× | fma-def_binary64 |
| 468× | associate--r-_binary64 |
| 416× | associate--l-_binary64 |
| 391× | associate-*r*_binary64 |
| 356× | associate-*l*_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 20 | 18 |
| 2 | 33 | 18 |
| 3 | 51 | 18 |
| 4 | 77 | 18 |
| 5 | 129 | 18 |
| 6 | 225 | 18 |
| 7 | 320 | 18 |
| 8 | 447 | 18 |
| 9 | 679 | 16 |
| 10 | 862 | 16 |
| 11 | 1270 | 16 |
| 12 | 2256 | 16 |
| 13 | 4758 | 16 |
| 14 | 6102 | 16 |
| 15 | 7699 | 16 |
| 1× | node limit |
Compiled 1040 to 743 computations (28.6% saved)
Compiled 297 to 190 computations (36% saved)
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