Metrics for Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

analyze88.0ms (1.1%)

Algorithm

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
25%	25%	74.9%	0.1%	0%	0%	0%	4
31.3%	31.2%	68.6%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
53.1%	53%	46.8%	0.1%	0%	0%	0%	7
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	8
68%	67.9%	32%	0.1%	0%	0%	0%	9
73.6%	73.5%	26.3%	0.1%	0%	0%	0%	10
78.2%	78.1%	21.7%	0.1%	0%	0%	0%	11
83.3%	83.1%	16.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.3s (16.3%)

Results

1.3s	8255×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1746×	`fma-def`
1090×	`div-sub`
896×	`sub-neg`
796×	`times-frac`
790×	`distribute-lft-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	292
1	110	272
2	185	272
3	397	272
4	1051	272
5	3148	260
6	6051	260
7	7821	260

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 (neg.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 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) 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)))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 (neg.f64 x) y))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))) x)
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))))
(+.f64 x (/.f64 -1 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 (neg.f64 z))) (.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (/.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) (/.f64 5641895835477563/5000000000000000 (exp.f64 z)))))
(+.f64 y (/.f64 x (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 y (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) x) y)))
(+.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 x (/.f64 z (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 y)) (.f64 x z))))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
▶	99.9%	(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
▶	95.6%	(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
▶	99.9%	(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))

Compiler

Compiled 58 to 40 computations (31% saved)

localize88.0ms (1.1%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓	98.7%	(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
✓	88.0%	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
✓	100.0%	(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
✓	99.9%	(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
✓	99.7%	(/.f64 -5641895835477563/5000000000000000 y)

Compiler

Compiled 84 to 39 computations (53.6% saved)

series18.0ms (0.2%)

Counts

6 → 148

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
2.0ms	z	@	inf	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
1.0ms	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	@	0	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))

rewrite162.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`log-prod`
956×	`fma-def`
684×	`expm1-udef`
678×	`log1p-udef`
400×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	390	114
2	4939	114

Stop Event

1×	node limit

Counts

6 → 293

Calls

Call 1

Inputs
(/.f64 -5641895835477563/5000000000000000 y)
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
(/.f64 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
(+.f64 0 (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))) (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1)
(*.f64 -5641895835477563/5000000000000000 (/.f64 1 y))
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)
(*.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y)))
(*.f64 1 (/.f64 -5641895835477563/5000000000000000 y))
(*.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(*.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(*.f64 (/.f64 1 y) -5641895835477563/5000000000000000)
(pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)
(pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)
(pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)
(sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))
(log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y))))
(cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))
(expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1))
(log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 0 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(*.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 1)
(*.f64 1 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(*.f64 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) -1)
(pow.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 2)
(pow.f64 (neg.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) -1)
(pow.f64 (*.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -1) -1)
(neg.f64 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 2)))
(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)))))
(log.f64 (/.f64 1 (exp.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(+.f64 x (/.f64 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000) y))
(+.f64 (/.f64 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) x)
(+.f64 0 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(+.f64 (.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) 1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 1)
(*.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 1)
(*.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2) (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) (sqrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) (-.f64 (.f64 x x) (.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y)) (.f64 x x)) (-.f64 (/.f64 (*.f64 (exp.f64 z) -5641895835477563/5000000000000000) y) x))
(pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y))))
(log.f64 (.f64 (exp.f64 (/.f64 (.f64 (exp.f64 z) -5641895835477563/5000000000000000) y)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
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(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (.f64 y (neg.f64 x)))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (.f64 y x))))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (.f64 (neg.f64 x) 1) y (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(+.f64 0 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) 1)
(pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3)
(pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))
(log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 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)))

simplify240.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1218×	`fma-neg`
794×	`log-prod`
694×	`fma-def`
582×	`associate-r`
556×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	714	16973
1	1704	16389
2	6181	15697

Stop Event

1×	node limit

Counts

441 → 475

Calls

Call 1

Inputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 z (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 z (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (.f64 5641895835477563/10000000000000000 (/.f64 1 (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 z (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (.f64 5641895835477563/10000000000000000 (/.f64 1 (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (.f64 y (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (.f64 5641895835477563/30000000000000000 (/.f64 1 (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (.f64 -1 (.f64 (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (.f64 5641895835477563/10000000000000000 (/.f64 1 (.f64 y (pow.f64 (-.f64 x (.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (.f64 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))
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(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (.f64 y (neg.f64 x)))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (.f64 y x))))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (.f64 y (neg.f64 x)))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (.f64 y x))))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (.f64 (neg.f64 x) 1) y (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(+.f64 0 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) 1)
(pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3)
(pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))
(log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 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 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
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(-.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))))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
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(/.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 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
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(/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) 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 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
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(/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
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(/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) 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 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) 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 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
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(/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(/.f64 (*.f64 y 5000000000000000/5641895835477563) (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 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (/.f64 (.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
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(/.f64 -1 x)
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(fma.f64 (+.f64 (sqrt.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (.f64 x y))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)))) (-.f64 (sqrt.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (.f64 x y))) (.f64 0 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)))) (-.f64 (sqrt.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z))) (sqrt.f64 (.f64 x y))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (.f64 y x)) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))
(+.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 3)))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (.f64 5641895835477563/5000000000000000 (cbrt.f64 (exp.f64 z))) (.f64 y (neg.f64 x)))
(-.f64 (.f64 (cbrt.f64 (exp.f64 z)) (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (*.f64 x y))
(-.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 3)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (.f64 5641895835477563/5000000000000000 (cbrt.f64 (exp.f64 z))) (.f64 y (neg.f64 x)))
(-.f64 (.f64 (cbrt.f64 (exp.f64 z)) (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (*.f64 x y))
(-.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 3)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (.f64 y x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (.f64 5641895835477563/5000000000000000 (cbrt.f64 (exp.f64 z))) (.f64 y (neg.f64 x)))
(-.f64 (.f64 (cbrt.f64 (exp.f64 z)) (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (*.f64 x y))
(-.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 3)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (.f64 5641895835477563/5000000000000000 (cbrt.f64 (exp.f64 z))) (.f64 y (neg.f64 x)))
(-.f64 (.f64 (cbrt.f64 (exp.f64 z)) (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (*.f64 x y))
(-.f64 (.f64 5641895835477563/5000000000000000 (pow.f64 (cbrt.f64 (exp.f64 z)) 3)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (.f64 y (neg.f64 x)))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (.f64 (*.f64 y (neg.f64 x)) 1))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (fma.f64 y (neg.f64 x) (fma.f64 y (neg.f64 x) (.f64 y x))))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(fma.f64 (.f64 5641895835477563/5000000000000000 (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)) (neg.f64 (-.f64 (.f64 y x) (fma.f64 y (neg.f64 x) (*.f64 y x)))))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(fma.f64 (.f64 (neg.f64 x) 1) y (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(+.f64 0 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))) (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))) 1)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 1)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 3)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)) 2)
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(sqrt.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)))
(log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) (exp.f64 z)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(exp.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(exp.f64 (*.f64 (+.f64 z (log.f64 5641895835477563/5000000000000000)) 1))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))

eval460.0ms (5.8%)

Compiler: Compiled 11474 to 5865 computations (48.9% saved)

prune96.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	466	9	475
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	468	9	477

Accuracy

100.0%

Counts

477 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3))
	62.9%	(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
	82.1%	(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
	79.6%	(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
	68.2%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
▶	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
▶	79.6%	(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
▶	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
▶	70.9%	(+.f64 x (/.f64 -1 x))
▶	99.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3))
	62.9%	(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
	82.1%	(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
	79.6%	(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
	68.2%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
▶	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
▶	79.6%	(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
▶	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
▶	70.9%	(+.f64 x (/.f64 -1 x))

Compiler

Compiled 448 to 324 computations (27.7% saved)

localize191.0ms (2.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓	99.8%	(/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))
✓	100.0%	(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
✓	99.8%	(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
✓	99.6%	(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
✓	100.0%	(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
✓	99.8%	(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
	99.7%	(/.f64 -5641895835477563/5000000000000000 y)
✓	99.8%	(/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
	99.7%	(/.f64 -5641895835477563/5000000000000000 y)
✓	99.5%	(cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
✓	99.5%	(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)

Compiler

Compiled 168 to 103 computations (38.7% saved)

series95.0ms (1.2%)

Counts

9 → 186

Calls

60 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
10.0ms	x	@	-inf	(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)
10.0ms	z	@	0	(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)
7.0ms	y	@	-inf	(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)
7.0ms	y	@	0	(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)

rewrite191.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`expm1-udef`
804×	`log1p-udef`
512×	`add-sqr-sqrt`
492×	`pow1`
490×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	175
1	572	165
2	6934	165

Stop Event

1×	node limit

Counts

9 → 291

Calls

Call 1

Inputs
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3)
(cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 1)
(*.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3))
(*.f64 -1 (/.f64 1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(.f64 -1 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2))))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)))
(*.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 1)
(*.f64 1 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 2) (.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) (.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 2) 3) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 3) (pow.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 3))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)) -1) (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)) 1) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)) (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))) 2)) (/.f64 -1 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) 2)) (sqrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))))) (sqrt.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))))
(/.f64 -1 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))
(/.f64 1 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3))
(/.f64 1 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)) -1) 3))
(/.f64 1 (neg.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x) -1))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))
(fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)
(-.f64 0 (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))) 1)
(/.f64 -1 (neg.f64 (*.f64 y 5000000000000000/5641895835477563)))
(/.f64 -5641895835477563/5000000000000000 y)
(/.f64 -5641895835477563/5000000000000000 (neg.f64 y))
(/.f64 -5641895835477563/5000000000000000 (neg.f64 (neg.f64 y)))
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 (neg.f64 y))
(/.f64 1 (*.f64 y 5000000000000000/5641895835477563))
(/.f64 1 (/.f64 (*.f64 y 5000000000000000/5641895835477563) 1))
(/.f64 (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 5641895835477563/5000000000000000 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 -5641895835477563/5000000000000000 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 -5641895835477563/5000000000000000 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)
(pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)
(pow.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) -1)
(neg.f64 (/.f64 -5641895835477563/5000000000000000 y))
(sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))
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(log.f64 (/.f64 1 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y))))
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(exp.f64 (*.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)) 1))
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(*.f64 1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
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(.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 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2) (/.f64 1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))
(/.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 1 (/.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))
(/.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(/.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (-.f64 (.f64 x x) (*.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 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(/.f64 (neg.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) 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 (neg.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(exp.f64 (log.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)
(fma.f64 1 (/.f64 -5641895835477563/5000000000000000 y) x)
(fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y))
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(fma.f64 (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))
(fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) 1)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 1 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)
(.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 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.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 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(.f64 (neg.f64 y) (/.f64 1 (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(.f64 (.f64 y 5000000000000000/5641895835477563) (/.f64 1 (exp.f64 z)))
(.f64 (/.f64 1 (exp.f64 z)) (.f64 y 5000000000000000/5641895835477563))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 5641895835477563/5000000000000000) (/.f64 (cbrt.f64 y) (exp.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (cbrt.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (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) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000))
(*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (/.f64 (sqrt.f64 y) (exp.f64 z)))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)
(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 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)
(pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) -1)
(neg.f64 (/.f64 y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(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))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(exp.f64 (-.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) z))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 y 5000000000000000/5641895835477563)) z) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))

simplify335.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1768×	`fma-def`
918×	`times-frac`
672×	`distribute-rgt-in`
658×	`distribute-lft-in`
650×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1114	32583
1	3324	29625

Stop Event

1×	node limit

Counts

477 → 449

Calls

Call 1

Inputs
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(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) 1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (/.f64 -5641895835477563/5000000000000000 y)))
(*.f64 1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(*.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 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))) (/.f64 1 (fma.f64 x x (.f64 (/.f64 -5641895835477563/5000000000000000 y) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
(*.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2) (/.f64 1 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))
(/.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 1 (/.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)))
(/.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(/.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (-.f64 (.f64 x x) (*.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 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(/.f64 (neg.f64 (+.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) 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 (neg.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(exp.f64 (log.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)
(fma.f64 1 (/.f64 -5641895835477563/5000000000000000 y) x)
(fma.f64 1 x (/.f64 -5641895835477563/5000000000000000 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))
(fma.f64 (cbrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -5641895835477563/5000000000000000 y))
(fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))) 1)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 1 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)
(.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 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.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 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(.f64 (neg.f64 y) (/.f64 1 (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(.f64 (.f64 y 5000000000000000/5641895835477563) (/.f64 1 (exp.f64 z)))
(.f64 (/.f64 1 (exp.f64 z)) (.f64 y 5000000000000000/5641895835477563))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 5641895835477563/5000000000000000) (/.f64 (cbrt.f64 y) (exp.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (cbrt.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (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) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000))
(*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (/.f64 (sqrt.f64 y) (exp.f64 z)))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)
(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 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)
(pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) -1)
(neg.f64 (/.f64 y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(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))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(exp.f64 (-.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) z))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 y 5000000000000000/5641895835477563)) z) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(neg.f64 (/.f64 1 x))
(/.f64 -1 x)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (.f64 5641895835477563/15000000000000000 (.f64 (exp.f64 z) (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/9))) (.f64 5641895835477563/15000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/9) (exp.f64 z)))) y))) (.f64 -5641895835477563/15000000000000000 (.f64 (/.f64 (exp.f64 z) y) (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9)))))
(fma.f64 -1 (/.f64 1 x) (fma.f64 -1 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (.f64 5641895835477563/15000000000000000 (+.f64 (.f64 (exp.f64 z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/18))) (.f64 (exp.f64 z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/18))))) y)) (.f64 -5641895835477563/15000000000000000 (.f64 (/.f64 (exp.f64 z) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/18))))))
(+.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (/.f64 (.f64 (.f64 (exp.f64 z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 19)) 1/18))) 5641895835477563/7500000000000000) y) (.f64 (.f64 -5641895835477563/15000000000000000 (/.f64 (exp.f64 z) y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/18)))))
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(.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)
(*.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 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.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 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.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 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 (.f64 y 5000000000000000/5641895835477563) (/.f64 1 (exp.f64 z)))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 (/.f64 1 (exp.f64 z)) (.f64 y 5000000000000000/5641895835477563))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000))) (/.f64 y (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(/.f64 (/.f64 y (cbrt.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (cbrt.f64 (.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (/.f64 y (sqrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(/.f64 (/.f64 y (sqrt.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000))) (sqrt.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))
(/.f64 (.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000)) (exp.f64 z))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 5641895835477563/5000000000000000) (/.f64 (cbrt.f64 y) (exp.f64 z)))
(/.f64 (.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000)) (exp.f64 z))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(/.f64 (.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000)) (exp.f64 z))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (exp.f64 z)) (/.f64 (cbrt.f64 y) 5641895835477563/5000000000000000))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (cbrt.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(.f64 (cbrt.f64 (.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) (/.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (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) (exp.f64 z)) (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (sqrt.f64 y)) (exp.f64 z))
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (/.f64 (sqrt.f64 y) (exp.f64 z)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (sqrt.f64 y)) (exp.f64 z))
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 (exp.f64 z) 5641895835477563/5000000000000000)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) 5641895835477563/5000000000000000) (sqrt.f64 y)) (exp.f64 z))
(/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))
(.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (exp.f64 (+.f64 z z))))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 (pow.f64 (exp.f64 z) 2) 31830988618379068626528276418969/25000000000000000000000000000000))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))
(pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 1)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 3)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(pow.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3) 1/3)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))) 2)
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) -1)
(/.f64 1 (*.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y)))
(neg.f64 (/.f64 y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 2))
(fabs.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))) 3))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (exp.f64 z) 3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(exp.f64 (-.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)) z))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 y 5000000000000000/5641895835477563)) z) 1))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))))
(*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z)))

eval525.0ms (6.7%)

Compiler: Compiled 26697 to 19776 computations (25.9% saved)

prune159.0ms (2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	581	8	589
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	586	12	598

Accuracy

100.0%

Counts

598 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
▶	69.4%	(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
▶	68.2%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
	62.1%	(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
	69.9%	(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
▶	71.0%	(+.f64 x (/.f64 -1 (/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
	62.8%	(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
✓	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
✓	70.9%	(+.f64 x (/.f64 -1 x))
	55.8%	(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
▶	62.1%	(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
▶	79.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
▶	69.4%	(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
▶	68.2%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
	62.1%	(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
	69.9%	(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
▶	71.0%	(+.f64 x (/.f64 -1 (/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
	62.8%	(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
✓	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
✓	70.9%	(+.f64 x (/.f64 -1 x))
	55.8%	(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
▶	62.1%	(+.f64 x (*.f64 y 5000000000000000/5641895835477563))

Compiler

Compiled 582 to 418 computations (28.2% saved)

localize218.0ms (2.8%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	99.7%	(/.f64 -5641895835477563/5000000000000000 y)
✓	99.0%	(/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))
✓	93.3%	(-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x))
✓	52.2%	(/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
✓	100.0%	(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
✓	99.7%	(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
✓	99.6%	(*.f64 5641895835477563/5000000000000000 z)
✓	78.1%	(/.f64 y (*.f64 y (neg.f64 x)))
✓	99.3%	(*.f64 y 5000000000000000/5641895835477563)
✓	99.7%	(/.f64 5641895835477563/5000000000000000 y)
✓	99.5%	(/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
✓	99.1%	(cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
✓	98.9%	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)

Compiler

Compiled 198 to 108 computations (45.5% saved)

series46.0ms (0.6%)

Counts

12 → 147

Calls

57 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)
5.0ms	y	@	-inf	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)
4.0ms	x	@	-inf	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)
4.0ms	y	@	inf	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)
3.0ms	y	@	0	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)

rewrite118.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`add-sqr-sqrt`
684×	`pow1`
682×	`*-un-lft-identity`
664×	`add-cube-cbrt`
662×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	220
1	714	158

Stop Event

1×	node limit

Counts

12 → 294

Calls

Call 1

Inputs
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3)
(cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(/.f64 5641895835477563/5000000000000000 y)
(*.f64 y 5000000000000000/5641895835477563)
(/.f64 y (*.f64 y (neg.f64 x)))
(*.f64 5641895835477563/5000000000000000 z)
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x))
(/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 1)
(*.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) 2)))
(*.f64 1 (/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) 2)) (/.f64 -1 (cbrt.f64 (-.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 (pow.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 2) 3) (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 3) (pow.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 3))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
(/.f64 1 (pow.f64 (/.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) -1) 3))
(/.f64 1 (neg.f64 (-.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 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(*.f64 (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 1/6) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) 1/3))
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(+.f64 (fma.f64 1 (/.f64 5641895835477563/5000000000000000 y) (neg.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (neg.f64 (.f64 x 1))) (fma.f64 x 1 (.f64 x 1)))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (neg.f64 (.f64 x 1))) (fma.f64 x 1 (.f64 x 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (neg.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(-.f64 (/.f64 5641895835477563/5000000000000000 y) x)
(-.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (/.f64 (.f64 x x) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 5641895835477563/5000000000000000 y) 3) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (fma.f64 x x (.f64 (/.f64 5641895835477563/5000000000000000 y) x)))) (/.f64 (pow.f64 x 3) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (fma.f64 x x (.f64 (/.f64 5641895835477563/5000000000000000 y) x)))))
(.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x)) (/.f64 1 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
(*.f64 1 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)) (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)) 2)) (/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x)) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))) (/.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x)) (sqrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)) 2)) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
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(.f64 (/.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 1) (/.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)) 2)) (/.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) (cbrt.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x))))
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(pow.f64 (pow.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) 3) 1/3)
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(pow.f64 (/.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
(exp.f64 (log.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 y) x)))
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(fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)
(fma.f64 1 (/.f64 5641895835477563/5000000000000000 y) x)
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(fma.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) x)
(+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x))
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(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x)) (fma.f64 x x (.f64 x x)))
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (neg.f64 (.f64 (.f64 x x) 1))) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 (*.f64 x x) 1)))
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(+.f64 (fma.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (neg.f64 (.f64 (.f64 x x) 1))) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 (.f64 x x) 1)))
(+.f64 (fma.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (neg.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) (neg.f64 (.f64 (.f64 x x) 1))) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 (*.f64 x x) 1)))
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(+.f64 (fma.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y) (neg.f64 (.f64 (.f64 x x) 1))) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 (*.f64 x x) 1)))
(+.f64 (fma.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y) (neg.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))))
(.f64 1 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 2) (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(/.f64 (-.f64 (.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)) (pow.f64 x 6)) (+.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (+.f64 (pow.f64 x 4) (.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x)))))
(/.f64 (-.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (pow.f64 x 4)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)) (pow.f64 x 6))) (neg.f64 (+.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (+.f64 (pow.f64 x 4) (.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (pow.f64 x 4))) (neg.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(exp.f64 (log.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(fma.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x))
(fma.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y) (neg.f64 (*.f64 x x)))
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (neg.f64 (*.f64 x x)))
(fma.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x))
(fma.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (neg.f64 (.f64 x x)))
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(fma.f64 (cbrt.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) (neg.f64 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))) 1)
(*.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))
(.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))
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(pow.f64 (/.f64 5641895835477563/5000000000000000 y) 2)
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(pow.f64 (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) 3)
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(pow.f64 (/.f64 (*.f64 y y) 31830988618379068626528276418969/25000000000000000000000000000000) -1)
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(cbrt.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))
(exp.f64 (log.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))
(exp.f64 (.f64 (log.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))

simplify196.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-def`
940×	`times-frac`
598×	`sqr-pow`
456×	`*-commutative`
434×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1031	17889
1	2760	16363

Stop Event

1×	node limit

Counts

441 → 509

Calls

Call 1

Inputs
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(.f64 (pow.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 2) (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(/.f64 (-.f64 (.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)) (pow.f64 x 6)) (+.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (+.f64 (pow.f64 x 4) (.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x)))))
(/.f64 (-.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (pow.f64 x 4)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)) (pow.f64 x 6))) (neg.f64 (+.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (+.f64 (pow.f64 x 4) (.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)) (pow.f64 x 4))) (neg.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(exp.f64 (log.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))))
(fma.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x))
(fma.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y) (neg.f64 (*.f64 x x)))
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (*.f64 x x))
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2) (neg.f64 (*.f64 x x)))
(fma.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (.f64 x x))
(fma.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) (neg.f64 (.f64 x x)))
(fma.f64 (cbrt.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) (neg.f64 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))) 1)
(*.f64 (/.f64 5641895835477563/5000000000000000 y) (/.f64 5641895835477563/5000000000000000 y))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))
(.f64 1 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))
(*.f64 (cbrt.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4))) (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2))
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) 2)
(pow.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 5641895835477563/5000000000000000 y)) 2) 3)
(pow.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 y y) 31830988618379068626528276418969/25000000000000000000000000000000) -1)
(sqrt.f64 (/.f64 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 y -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))))
(cbrt.f64 (*.f64 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 y -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))
(exp.f64 (log.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))
(exp.f64 (.f64 (log.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))

Outputs
(.f64 5000000000000000/5641895835477563 (.f64 (pow.f64 1 1/3) y))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (.f64 5000000000000000/5641895835477563 (.f64 (pow.f64 1 1/3) y)) (.f64 (+.f64 (.f64 50000000000000000000000000000000/95492965855137205879584829256907 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 22)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4) 1/3))) (.f64 25000000000000000000000000000000/95492965855137205879584829256907 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 22)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4) 1/3)))) x))
(fma.f64 5000000000000000/5641895835477563 y (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 y 22) 1/18) (pow.f64 (pow.f64 y 22) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -5000000000000000/5641895835477563) 4))) 25000000000000000000000000000000/31830988618379068626528276418969) x))
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(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))
(exp.f64 (log.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))
(exp.f64 (.f64 (log.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))) 1))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))
(log1p.f64 (expm1.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2))

eval445.0ms (5.6%)

Compiler: Compiled 16676 to 12769 computations (23.4% saved)

prune160.0ms (2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	534	3	537
Fresh	0	4	4
Picked	2	3	5
Done	0	3	3
Total	536	13	549

Accuracy

100.0%

Counts

549 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
✓	69.4%	(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
▶	62.1%	(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
▶	69.9%	(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
▶	55.8%	(+.f64 x (/.f64 1 x))
	47.3%	(+.f64 x (/.f64 -1 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
	62.8%	(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
✓	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
✓	70.9%	(+.f64 x (/.f64 -1 x))
▶	55.8%	(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
✓	62.1%	(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
▶	48.6%	(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
✓	79.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
✓	69.4%	(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
▶	62.1%	(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
▶	69.9%	(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
▶	55.8%	(+.f64 x (/.f64 1 x))
	47.3%	(+.f64 x (/.f64 -1 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
	62.8%	(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
✓	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
✓	70.9%	(+.f64 x (/.f64 -1 x))
▶	55.8%	(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
✓	62.1%	(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
▶	48.6%	(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))

Compiler

Compiled 524 to 380 computations (27.5% saved)

localize112.0ms (1.4%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
✓	99.5%	(.f64 -5000000000000000/5641895835477563 (.f64 y z))
✓	99.3%	(*.f64 5000000000000000/5641895835477563 y)
✓	100.0%	(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
✓	99.5%	(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
✓	99.7%	(/.f64 y 5641895835477563/5000000000000000)
✓	100.0%	(+.f64 x (/.f64 1 x))
✓	99.8%	(/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
	99.7%	(/.f64 -5641895835477563/5000000000000000 y)

Compiler

Compiled 108 to 59 computations (45.4% saved)

series16.0ms (0.2%)

Counts

8 → 99

Calls

42 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/.f64 y 5641895835477563/5000000000000000)
2.0ms	y	@	0	(+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
1.0ms	y	@	inf	(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
1.0ms	y	@	0	(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
0.0ms	y	@	inf	(.f64 -5000000000000000/5641895835477563 (.f64 y z))

rewrite149.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`expm1-udef`
864×	`log1p-udef`
514×	`add-sqr-sqrt`
492×	`pow1`
492×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	523	108
2	7112	108

Stop Event

1×	node limit

Counts

8 → 228

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(+.f64 x (/.f64 1 x))
(/.f64 y 5641895835477563/5000000000000000)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(*.f64 5000000000000000/5641895835477563 y)
(.f64 -5000000000000000/5641895835477563 (.f64 y z))
(+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(*.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(*.f64 (pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -1/2) (pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) -1))
(.f64 (/.f64 1 (-.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (*.f64 x (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(.f64 (/.f64 1 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (*.f64 x x))) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x))
(pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -1)
(pow.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 x (/.f64 1 x))))
(*.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 (+.f64 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))
(*.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x -2) -1))))
(.f64 (-.f64 (.f64 x x) (pow.f64 x -2)) (/.f64 1 (-.f64 x (/.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x -2) -1)) (+.f64 (pow.f64 x -3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (pow.f64 x -2) -1)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 x x) 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (-.f64 x (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x -2) -1))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (-.f64 x (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 x x)) (-.f64 (/.f64 1 x) x))
(pow.f64 (+.f64 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x))))
(fma.f64 1 x (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) x)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) 1)
(.f64 1 (.f64 y 5000000000000000/5641895835477563))
(*.f64 y 5000000000000000/5641895835477563)
(*.f64 5000000000000000/5641895835477563 y)
(.f64 (.f64 y 5000000000000000/5641895835477563) 1)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 5000000000000000/5641895835477563))
(.f64 (cbrt.f64 (.f64 y 5000000000000000/5641895835477563)) (cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2)) (cbrt.f64 (*.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 (neg.f64 y) -5000000000000000/5641895835477563)
(.f64 (.f64 5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)
(pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)
(neg.f64 (*.f64 y -5000000000000000/5641895835477563))
(sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))
(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 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) 1)
(/.f64 1 (/.f64 z (*.f64 y 5000000000000000/5641895835477563)))
(/.f64 1 (*.f64 z (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 y (/.f64 z 5000000000000000/5641895835477563))
(/.f64 y (*.f64 z 5641895835477563/5000000000000000))
(/.f64 5000000000000000/5641895835477563 (/.f64 z y))
(/.f64 (*.f64 y 5000000000000000/5641895835477563) z)
(/.f64 (cbrt.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 z (cbrt.f64 (.f64 y 5000000000000000/5641895835477563))))
(/.f64 (sqrt.f64 (.f64 y 5000000000000000/5641895835477563)) (/.f64 z (sqrt.f64 (.f64 y 5000000000000000/5641895835477563))))
(/.f64 (neg.f64 y) (*.f64 z -5641895835477563/5000000000000000))
(/.f64 (neg.f64 (*.f64 y 5000000000000000/5641895835477563)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y 5000000000000000/5641895835477563) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 5000000000000000/5641895835477563 (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) 5000000000000000/5641895835477563) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y 5000000000000000/5641895835477563) 1) z)
(/.f64 (/.f64 (*.f64 y 5000000000000000/5641895835477563) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 1)
(pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) 3)
(pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) 2)
(sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)))
(log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)))
(expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) 1))
(log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 -5000000000000000/5641895835477563 (/.f64 y z)))) (/.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)) (+.f64 x (.f64 -5000000000000000/5641895835477563 (/.f64 y z)))))
(*.f64 1 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))
(*.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 1)
(*.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(.f64 (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))))
(.f64 (-.f64 (.f64 x x) (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2))) (/.f64 1 (+.f64 x (.f64 -5000000000000000/5641895835477563 (/.f64 y z)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))) (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 -5000000000000000/5641895835477563 (/.f64 y z))) (-.f64 (.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)))))
(/.f64 (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))))
(/.f64 (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)) (pow.f64 x 3)) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)) (-.f64 (.f64 x x) (.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))))
(/.f64 (-.f64 (.f64 x x) (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2))) (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 (/.f64 y z) 3)) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)))) (neg.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y z)))))
(/.f64 (-.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)) (.f64 x x)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))
(pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 3)
(pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 2))
(log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(fma.f64 1 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(fma.f64 1 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 y z) 5000000000000000/5641895835477563 x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) 2) (cbrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(fma.f64 (sqrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) (sqrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) 1)
(/.f64 1 (/.f64 5641895835477563/5000000000000000 y))
(/.f64 1 (/.f64 (/.f64 5641895835477563/5000000000000000 y) 1))
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 5641895835477563/5000000000000000 (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)))
(/.f64 -1 (neg.f64 (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 (neg.f64 y) -5641895835477563/5000000000000000)
(/.f64 (neg.f64 (neg.f64 y)) 5641895835477563/5000000000000000)
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)
(pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)
(neg.f64 (*.f64 y -5000000000000000/5641895835477563))
(sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))
(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 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 1)
(pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2))
(log.f64 (exp.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(exp.f64 (log.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z -5000000000000000/5641895835477563))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563)))) (/.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2) (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(.f64 1 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563))))
(.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563))) 1)
(.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (*.f64 y 5000000000000000/5641895835477563))))))
(.f64 (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2)) (/.f64 1 (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563)))) (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563))) (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2) (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563))))))
(/.f64 (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2)) (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2))) (neg.f64 (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2) (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563)))
(pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 3)
(pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 2))
(log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))))))
(cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(fma.f64 1 (.f64 y 5000000000000000/5641895835477563) (.f64 y (*.f64 z -5000000000000000/5641895835477563)))
(fma.f64 1 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 5000000000000000/5641895835477563 y (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 -5000000000000000/5641895835477563 (.f64 y z) (.f64 y 5000000000000000/5641895835477563))
(fma.f64 (.f64 y z) -5000000000000000/5641895835477563 (.f64 y 5000000000000000/5641895835477563))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2)) (cbrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2)) (cbrt.f64 (.f64 y 5000000000000000/5641895835477563)) (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) (sqrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 (sqrt.f64 (.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (.f64 y 5000000000000000/5641895835477563)) (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 (.f64 y -5000000000000000/5641895835477563) z (.f64 y 5000000000000000/5641895835477563))

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`fma-neg`
756×	`log-prod`
692×	`div-sub`
642×	`exp-prod`
524×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	501	7245
1	1178	6851
2	4732	6849

Stop Event

1×	node limit

Counts

327 → 288

Calls

Call 1

Inputs
(*.f64 -5000000000000000/5641895835477563 y)
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y))
(+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y)))
(+.f64 (.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (.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)
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (.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 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y)))
(+.f64 (.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (.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))))))
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(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)))) (neg.f64 (+.f64 x (*.f64 -5000000000000000/5641895835477563 (/.f64 y z)))))
(/.f64 (-.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (/.f64 y z) 2)) (.f64 x x)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))
(pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 3)
(pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 2))
(log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)))
(fma.f64 1 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(fma.f64 1 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 y z) 5000000000000000/5641895835477563 x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) 2) (cbrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(fma.f64 (sqrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) (sqrt.f64 (.f64 5000000000000000/5641895835477563 (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))) 1)
(/.f64 1 (/.f64 5641895835477563/5000000000000000 y))
(/.f64 1 (/.f64 (/.f64 5641895835477563/5000000000000000 y) 1))
(/.f64 y 5641895835477563/5000000000000000)
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 5641895835477563/5000000000000000 (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 5641895835477563/5000000000000000 (sqrt.f64 y)))
(/.f64 -1 (neg.f64 (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 (neg.f64 y) -5641895835477563/5000000000000000)
(/.f64 (neg.f64 (neg.f64 y)) 5641895835477563/5000000000000000)
(pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)
(pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)
(pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)
(pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)
(neg.f64 (*.f64 y -5000000000000000/5641895835477563))
(sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))
(log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))
(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 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 1)
(pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2))
(log.f64 (exp.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(exp.f64 (log.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z -5000000000000000/5641895835477563))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563)))) (/.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2) (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(.f64 1 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563))))
(.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563))) 1)
(.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (*.f64 y 5000000000000000/5641895835477563))))))
(.f64 (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2)) (/.f64 1 (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (*.f64 z -5000000000000000/5641895835477563)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563)))) (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563))) (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2) (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563))))))
(/.f64 (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2)) (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2))) (neg.f64 (-.f64 (.f64 y 5000000000000000/5641895835477563) (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2) (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (.f64 y 5000000000000000/5641895835477563)))
(pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 3)
(pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 2))
(log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))))))
(cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (*.f64 z -5000000000000000/5641895835477563)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))))
(fma.f64 1 (.f64 y 5000000000000000/5641895835477563) (.f64 y (*.f64 z -5000000000000000/5641895835477563)))
(fma.f64 1 (.f64 y (.f64 z -5000000000000000/5641895835477563)) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 y 5000000000000000/5641895835477563 (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 5000000000000000/5641895835477563 y (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 -5000000000000000/5641895835477563 (.f64 y z) (.f64 y 5000000000000000/5641895835477563))
(fma.f64 (.f64 y z) -5000000000000000/5641895835477563 (.f64 y 5000000000000000/5641895835477563))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563)) 2)) (cbrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y 5000000000000000/5641895835477563) 2)) (cbrt.f64 (.f64 y 5000000000000000/5641895835477563)) (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 (sqrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) (sqrt.f64 (.f64 y (.f64 z -5000000000000000/5641895835477563))) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 (sqrt.f64 (.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (.f64 y 5000000000000000/5641895835477563)) (.f64 y (.f64 z -5000000000000000/5641895835477563)))
(fma.f64 (.f64 y -5000000000000000/5641895835477563) z (.f64 y 5000000000000000/5641895835477563))

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 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (.f64 y y) x) (*.f64 -5000000000000000/5641895835477563 y)))
(fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 y (.f64 y x)) (*.f64 -5000000000000000/5641895835477563 y)))
(+.f64 (.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (pow.f64 y 2) x)) (*.f64 -5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 (.f64 y y) x) (.f64 -5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (.f64 y (.f64 y x)) (.f64 -5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.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 1 (.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(-.f64 (-.f64 (/.f64 5641895835477563/5000000000000000 (.f64 y (.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 5641895835477563/5000000000000000 (.f64 y (.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 (.f64 y y) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 4))))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(+.f64 (/.f64 5641895835477563/5000000000000000 (.f64 y (.f64 x x))) (-.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 (*.f64 y y) (pow.f64 x 3))))))
(/.f64 -1 x)
(-.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.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 1 (.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(-.f64 (-.f64 (/.f64 5641895835477563/5000000000000000 (.f64 y (.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 5641895835477563/5000000000000000 (.f64 y (.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 (.f64 y y) (pow.f64 x 3)))))
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(.f64 y (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(fma.f64 (.f64 y -5000000000000000/5641895835477563) z (.f64 y 5000000000000000/5641895835477563))
(.f64 y (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)))
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))

eval144.0ms (1.8%)

Compiler: Compiled 4622 to 2989 computations (35.3% saved)

prune60.0ms (0.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	313	3	316
Fresh	2	0	2
Picked	4	1	5
Done	1	5	6
Total	320	9	329

Accuracy

100.0%

Counts

329 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.5%	(/.f64 1 x)
✓	79.4%	(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
✓	62.9%	(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
✓	62.1%	(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓	79.6%	(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
✓	70.9%	(+.f64 x (/.f64 -1 x))
	55.8%	(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
✓	62.1%	(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
	74.6%	x

Compiler

Compiled 330 to 214 computations (35.2% saved)

regimes66.0ms (0.8%)

Counts

25 → 1

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
(+.f64 x (/.f64 -1 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
(+.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)))
(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 3))
(+.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z) x))) 3))

Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))

Calls

6 calls:

14.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
13.0ms	x
12.0ms	z
12.0ms	y
3.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))`
99.9%	1	`(*.f64 5641895835477563/5000000000000000 (exp.f64 z))`
99.9%	1	`(exp.f64 z)`

Compiler

Compiled 285 to 179 computations (37.2% saved)

regimes92.0ms (1.2%)

Counts

22 → 2

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
(+.f64 x (/.f64 -1 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))

Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))

Calls

6 calls:

32.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
21.0ms	z
12.0ms	x
11.0ms	y
5.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
95.6%	1	`x`
95.6%	1	`y`
98.4%	2	`z`
99.9%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))`
98.4%	2	`(*.f64 5641895835477563/5000000000000000 (exp.f64 z))`
98.4%	2	`(exp.f64 z)`

Compiler

Compiled 248 to 155 computations (37.5% saved)

regimes99.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
(+.f64 x (/.f64 -1 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))
(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))
(+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)))

Outputs

(+.f64 x (/.f64 -1 x))

(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))

(+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))

Calls

3 calls:

55.0ms	(exp.f64 z)
32.0ms	z
6.0ms	(*.f64 5641895835477563/5000000000000000 (exp.f64 z))

Results

Accuracy	Segments	Branch
99.9%	3	`z`
99.9%	3	`(*.f64 5641895835477563/5000000000000000 (exp.f64 z))`
99.9%	3	`(exp.f64 z)`

Compiler

Compiled 213 to 133 computations (37.6% saved)

regimes32.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
(+.f64 x (/.f64 -1 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (/.f64 (-.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x))))
(+.f64 x (/.f64 -1 (-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (.f64 y y)) (+.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))))

Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
x

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`z`

Compiler

Compiled 185 to 114 computations (38.4% saved)

regimes85.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (+.f64 (.f64 5000000000000000/5641895835477563 y) (.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))

Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
x

Calls

1 calls:

81.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`z`

Compiler

Compiled 113 to 72 computations (36.3% saved)

regimes22.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (/.f64 1 (-.f64 (/.f64 -5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))

Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
x

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`z`

Compiler

Compiled 82 to 52 computations (36.6% saved)

regimes59.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (.f64 (+.f64 5000000000000000/5641895835477563 (.f64 -5000000000000000/5641895835477563 z)) y))

Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
x

Calls

3 calls:

21.0ms	y
21.0ms	z
15.0ms	x

Results

Accuracy	Segments	Branch
77.0%	3	`x`
81.4%	4	`y`
89.3%	3	`z`

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes24.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))

Outputs
x
(+.f64 x (*.f64 y 5000000000000000/5641895835477563))
x

Calls

2 calls:

13.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
77.8%	3	`y`
78.1%	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (0.1%)

Accuracy

Total -45.6b remaining (-280.8%)

Threshold costs -45.6b (-280.8%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(/.f64 1 x)

Outputs
x

Calls

2 calls:

4.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
74.6%	1	`y`
74.6%	1	`z`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9925752934153386

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000234887	1.000000048049126
0.0ms	0.0	0.9925752934153386

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.804912484243231e-8	4.118943234020515e-6
20.0ms	-2242575.2607195764	-0.007452406914983991

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 409 to 298 computations (27.1% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.804912484243231e-8	4.118943234020515e-6
20.0ms	-2242575.2607195764	-0.007452406914983991

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 345 to 250 computations (27.5% saved)

bsearch45.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.804912484243231e-8	4.118943234020515e-6
30.0ms	-2242575.2607195764	-0.007452406914983991

Results

40.0ms

256×

body

256

valid

Compiler

Compiled 345 to 266 computations (22.9% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.8755505477747765e-59	1.166974208698866e-32
22.0ms	-5.458593370447201e-21	-2.1406540319871436e-27

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 337 to 262 computations (22.3% saved)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.8755505477747765e-59	1.166974208698866e-32
21.0ms	-5.458593370447201e-21	-2.1406540319871436e-27

Results

40.0ms

320×

body

256

valid

Compiler

Compiled 301 to 235 computations (21.9% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
14×	`*-commutative`
12×	`sub-neg`
12×	`cancel-sign-sub-inv`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	453
1	107	453
2	121	453
3	127	453
4	130	453

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 4503599717442489/4503599627370496) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))) (+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))
(if (<=.f64 z -170) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))) x))
(if (<=.f64 z -200) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -260) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -4918143584404189/1329227995784915872903807060280344576) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2100908603663173/182687704666362864775460604089535377456991567872) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x))
(if (<=.f64 z -8575115646407649/2722258935367507707706996859454145691648) x (if (<=.f64 z 1461501637330903/5846006549323611672814739330865132078623730171904) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x))
x

Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) 5641895835477563/5000000000000000) (.f64 x y)))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 4503599717442489/4503599627370496) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))) (+.f64 x (/.f64 y (*.f64 5641895835477563/5000000000000000 (exp.f64 z))))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 4503599717442489/4503599627370496) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 z 5641895835477563/5000000000000000)) (.f64 x y)))) (+.f64 x (/.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000)))))
(if (<=.f64 z -170) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))) x))
(if (<=.f64 z -170) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 z 5641895835477563/5000000000000000)) (.f64 x y)))) x))
(if (<=.f64 z -200) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -200) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x))
(if (<=.f64 z -260) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4722366482869645/1180591620717411303424) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -4918143584404189/1329227995784915872903807060280344576) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 2100908603663173/182687704666362864775460604089535377456991567872) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x))
(if (<=.f64 z -8575115646407649/2722258935367507707706996859454145691648) x (if (<=.f64 z 1461501637330903/5846006549323611672814739330865132078623730171904) (+.f64 x (*.f64 y 5000000000000000/5641895835477563)) x))
x

Compiler

Compiled 204 to 136 computations (33.3% saved)

soundness1.2s (14.6%)

Rules

1768×	`fma-def`
1746×	`fma-def`
1244×	`fma-def`
1218×	`fma-neg`
1218×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	292
1	110	272
2	185	272
3	397	272
4	1051	272
5	3148	260
6	6051	260
7	7821	260
0	714	16973
1	1704	16389
2	6181	15697
0	31	220
1	714	158
0	1031	17889
1	2760	16363
0	714	16973
1	1704	16389
2	6181	15697
0	1114	32583
1	3324	29625

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 670 to 393 computations (41.3% saved)

end0.0ms (0%)

preprocess165.0ms (2.1%)

Compiler: Compiled 420 to 256 computations (39% saved)

analyze88.0ms (1.1%)

sample1.3s (16.3%)

preprocess93.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0%)

localize88.0ms (1.1%)

series18.0ms (0.2%)

rewrite162.0ms (2.1%)

simplify240.0ms (3%)

eval460.0ms (5.8%)

prune96.0ms (1.2%)

localize191.0ms (2.4%)

series95.0ms (1.2%)

rewrite191.0ms (2.4%)

simplify335.0ms (4.2%)

eval525.0ms (6.7%)

prune159.0ms (2%)

localize218.0ms (2.8%)

series46.0ms (0.6%)

rewrite118.0ms (1.5%)

simplify196.0ms (2.5%)

eval445.0ms (5.6%)

prune160.0ms (2%)

localize112.0ms (1.4%)

series16.0ms (0.2%)

rewrite149.0ms (1.9%)

simplify142.0ms (1.8%)

eval144.0ms (1.8%)

prune60.0ms (0.8%)

regimes66.0ms (0.8%)

regimes92.0ms (1.2%)

regimes99.0ms (1.3%)

regimes32.0ms (0.4%)

regimes85.0ms (1.1%)

regimes22.0ms (0.3%)

regimes59.0ms (0.7%)

regimes24.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.5%)

bsearch35.0ms (0.4%)

bsearch45.0ms (0.6%)

bsearch46.0ms (0.6%)

bsearch44.0ms (0.6%)

simplify49.0ms (0.6%)

soundness1.2s (14.6%)

end0.0ms (0%)

preprocess165.0ms (2.1%)

Profiling