Metrics for Rust f64::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample605.0ms (11.7%)

Results

593.0ms

8256×

body

256

valid

Bogosity

preprocess154.0ms (3%)

Algorithm

1×	egg-herbie

Rules

134×	`fma-def`
24×	`unsub-neg`
24×	`sub-neg`
20×	`neg-mul-1`
18×	`distribute-lft-in`

Problems

131×	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
67×	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`
58×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	29	72
2	34	72
3	37	72
4	45	72
5	52	72
6	64	72
7	77	72
8	91	72
9	103	72
10	146	72
11	204	72
12	223	72
13	243	72
14	251	72
15	255	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))

Compiler

Compiled 64 to 34 computations (46.9% saved)

eval1.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	53.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 20 to 14 computations (30% saved)

localize115.0ms (2.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	53.5%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms	x	@	inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite104.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`prod-diff`
632×	`unpow-prod-down`
481×	`log1p-expm1-u`
481×	`expm1-log1p-u`
438×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	117	42
2	1547	42

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))

Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

848×	`distribute-lft-in`
804×	`distribute-rgt-in`
682×	`associate-+r+`
608×	`associate-+l+`
574×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	7022
1	945	6574
2	2930	5720

Stop Event

1×	node limit

Counts

144 → 231

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x 6) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))))
x
(+.f64 x (fabs.f64 x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 x (+.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x)))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval139.0ms (2.7%)

Compiler: Compiled 4336 to 3046 computations (29.8% saved)

prune231.0ms (4.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	215	16	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	16	232

Accuracy

100.0%

Counts

232 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
	31.2%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	51.5%	(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x)))) 1/720)))) x)
	51.6%	(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
▶	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	65.1%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	57.6%	(copysign.f64 (log1p.f64 x) x)
	31.1%	(copysign.f64 (log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)) x)
	25.1%	(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
▶	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	4.7%	(copysign.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8)))) x)
	19.4%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
	52.0%	(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
	31.2%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	51.5%	(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x)))) 1/720)))) x)
	51.6%	(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
▶	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	65.1%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	57.6%	(copysign.f64 (log1p.f64 x) x)
	31.1%	(copysign.f64 (log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)) x)
	25.1%	(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
▶	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	4.7%	(copysign.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8)))) x)
	19.4%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 932 to 696 computations (25.3% saved)

localize436.0ms (8.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	78.0%	(log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8))))
✓	78.0%	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 166 to 106 computations (36.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8))))
1.0ms	x	@	0	(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms	x	@	inf	(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms	x	@	-inf	(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms	x	@	inf	(log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8))))

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`fma-def`
847×	`log1p-expm1-u`
846×	`expm1-log1p-u`
544×	`fma-neg`
430×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	267	65
2	3562	65

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8))))

Outputs
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 0 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))) 1)
(-.f64 (log1p.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2) (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2))) (log1p.f64 (neg.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(*.f64 1 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))
(*.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 1))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))

simplify145.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1366×	`fma-def`
920×	`sub-neg`
564×	`fma-neg`
556×	`unswap-sqr`
546×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2969
1	473	2844
2	1478	2839
3	5692	2786

Stop Event

1×	node limit

Counts

66 → 146

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -3/40 (pow.f64 x 5)) (+.f64 (.f64 5/112 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 -1/8) (*.f64 -4 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 -1/8) (*.f64 -4 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 4))))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 0 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))) 1)
(-.f64 (log1p.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2) (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2))) (log1p.f64 (neg.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(*.f64 1 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))
(*.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 1))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x)
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -3/40 (pow.f64 x 5)) (+.f64 (.f64 5/112 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7)))) x)
(fma.f64 -3/40 (pow.f64 x 5) (-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7))) x))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/4 (pow.f64 x 2)) (log.f64 x)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -1/4 (pow.f64 x 2)) (log.f64 x)) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (-.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4))))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 3) -1/6)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 5) 3/40))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 6) -1/16)))
(+.f64 x (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 6) -1/16 (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (log.f64 -1/8) (*.f64 -4 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/8) (*.f64 (neg.f64 (log.f64 x)) -4))
(fma.f64 (neg.f64 (log.f64 x)) -4 (log.f64 -1/8))
(+.f64 (log.f64 -1/8) (*.f64 4 (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/8) (-.f64 (*.f64 (neg.f64 (log.f64 x)) -4) (/.f64 4 (pow.f64 x 2))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -4 (log.f64 -1/8)) (/.f64 -4 (pow.f64 x 2)))
(+.f64 (log.f64 -1/8) (+.f64 (*.f64 4 (log.f64 x)) (/.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/8) (fma.f64 4 (log.f64 x) (/.f64 -4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (log.f64 -1/8) (-.f64 (*.f64 (neg.f64 (log.f64 x)) -4) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -4 (log.f64 -1/8)) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 3))))
(-.f64 (-.f64 (*.f64 4 (log.f64 x)) (/.f64 8 (pow.f64 x 3))) (-.f64 (/.f64 4 (pow.f64 x 2)) (log.f64 -1/8)))
(+.f64 (log.f64 -1/8) (+.f64 (fma.f64 4 (log.f64 x) (/.f64 -4 (pow.f64 x 2))) (/.f64 -8 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (log.f64 -1/8) (*.f64 (neg.f64 (log.f64 x)) -4)) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) -4 (log.f64 -1/8)) (+.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 3))) (/.f64 16 (pow.f64 x 4))))
(+.f64 (*.f64 4 (log.f64 x)) (+.f64 (-.f64 (log.f64 -1/8) (/.f64 4 (pow.f64 x 2))) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/8) (+.f64 (+.f64 (fma.f64 4 (log.f64 x) (/.f64 -4 (pow.f64 x 2))) (/.f64 -8 (pow.f64 x 3))) (/.f64 -16 (pow.f64 x 4))))
(+.f64 (log.f64 -1/8) (*.f64 -4 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/8) (*.f64 (log.f64 (/.f64 -1 x)) -4))
(fma.f64 (log.f64 (/.f64 -1 x)) -4 (log.f64 -1/8))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/8) (*.f64 (log.f64 (/.f64 -1 x)) -4)) (/.f64 4 (pow.f64 x 2)))
(+.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -4 (log.f64 -1/8)) (/.f64 -4 (pow.f64 x 2)))
(fma.f64 (log.f64 (/.f64 -1 x)) -4 (-.f64 (log.f64 -1/8) (/.f64 4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 (log.f64 -1/8) (*.f64 (log.f64 (/.f64 -1 x)) -4)) (/.f64 4 (pow.f64 x 2))) (/.f64 8 (pow.f64 x 3)))
(+.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -4 (log.f64 -1/8)) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -4 (log.f64 -1/8)) (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -8 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 -1/8) (.f64 -4 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 16 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (-.f64 (+.f64 (log.f64 -1/8) (*.f64 (log.f64 (/.f64 -1 x)) -4)) (/.f64 4 (pow.f64 x 2))) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4))))
(+.f64 (log.f64 -1/8) (-.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -4 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/8) (+.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -4 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (+.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (+.f64 x (hypot.f64 1 x)) x))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(log1p.f64 (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 0 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/8 (+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/8 (+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))) 1)
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2) (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 3)) (log1p.f64 (*.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) (+.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) -1))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2))) (log1p.f64 (neg.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)) 2))) (log1p.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/8) (fma.f64 1/2 (pow.f64 x 2) x))))
(*.f64 1 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(*.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 1)
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 1)
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 3)
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 3) 1/3)
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 2)
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 2))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x))) 3))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))) 1))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))
(log1p.f64 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (pow.f64 x 2) x)))

eval69.0ms (1.3%)

Compiler: Compiled 2727 to 2099 computations (23% saved)

prune32.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	7	4	11
Picked	2	3	5
Done	0	0	0
Total	152	10	162

Accuracy

100.0%

Counts

162 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
▶	53.1%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	57.6%	(copysign.f64 (log1p.f64 x) x)
▶	25.1%	(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	53.4%	(copysign.f64 x x)
	52.0%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
▶	53.1%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	57.6%	(copysign.f64 (log1p.f64 x) x)
▶	25.1%	(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	53.4%	(copysign.f64 x x)

Compiler

Compiled 304 to 202 computations (33.6% saved)

localize114.0ms (2.2%)

Compiler: Compiled 91 to 44 computations (51.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune8.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	3	3
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
✓	53.1%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	57.6%	(copysign.f64 (log1p.f64 x) x)
✓	25.1%	(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
▶	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	53.4%	(copysign.f64 x x)
▶	52.0%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
✓	53.1%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	57.6%	(copysign.f64 (log1p.f64 x) x)
✓	25.1%	(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
▶	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	53.4%	(copysign.f64 x x)

Compiler

Compiled 178 to 118 computations (33.7% saved)

localize350.0ms (6.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	99.2%	(*.f64 3/40 (pow.f64 x 5))
✓	71.2%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
✓	78.0%	(+.f64 x (hypot.f64 1 x))
✓	53.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 86 to 63 computations (26.7% saved)

series5.0ms (0.1%)

Counts

5 → 27

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
1.0ms	x	@	inf	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
0.0ms	x	@	0	(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	-inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))

rewrite126.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`fma-def`
1031×	`log1p-expm1-u`
1031×	`expm1-log1p-u`
384×	`fma-neg`
352×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	107
1	222	107
2	2896	107

Stop Event

1×	node limit

Counts

5 → 153

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 -1/6 (pow.f64 x 3))

Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 9/1600) (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5)))))
(.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))))
(.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 1)
(.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))))) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (fma.f64 (pow.f64 x 10) 9/1600 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(fma.f64 x (.f64 (pow.f64 x 2) -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 (pow.f64 x 3)) 1 (.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 3/40 (pow.f64 x 5)) 1 (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 2) (.f64 x -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 3/40) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 x) (pow.f64 x 2) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 (pow.f64 x 2)) x (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1376×	`unswap-sqr`
1028×	`distribute-lft-in`
608×	`cancel-sign-sub-inv`
524×	`times-frac`
472×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	6355
1	1001	6217
2	3169	6014

Stop Event

1×	node limit

Counts

180 → 236

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 9/1600) (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5)))))
(.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))))
(.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 1)
(.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))))) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 -3/40 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (fma.f64 (pow.f64 x 10) 9/1600 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 10) 9/1600)) (.f64 -1/6 (.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(fma.f64 x (.f64 (pow.f64 x 2) -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 (pow.f64 x 3)) 1 (.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 3/40 (pow.f64 x 5)) 1 (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 2) (.f64 x -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 3/40) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 x) (pow.f64 x 2) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 (pow.f64 x 2)) x (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
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(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 3/40) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 -1/6 x) (pow.f64 x 2) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 -1/6 (pow.f64 x 2)) x (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 3/40 (cbrt.f64 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(*.f64 3/40 (pow.f64 x 5))
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))

eval98.0ms (1.9%)

Compiler: Compiled 4180 to 3157 computations (24.5% saved)

prune211.0ms (4.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	235	1	236
Fresh	0	0	0
Picked	0	2	2
Done	1	7	8
Total	236	10	246

Accuracy

100.0%

Counts

246 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
✓	53.1%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓	29.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	57.6%	(copysign.f64 (log1p.f64 x) x)
	25.1%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓	31.2%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	53.4%	(copysign.f64 x x)

Compiler

Compiled 357 to 245 computations (31.4% saved)

regimes53.0ms (1%)

Counts

22 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 4) -1/8)))) x)
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x)))) 1/720)))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)

(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)

(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)

Calls

2 calls:

33.0ms	x
13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 287 to 198 computations (31% saved)

regimes57.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)

Calls

1 calls:

53.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 115 to 72 computations (37.4% saved)

regimes36.0ms (0.7%)

Counts

12 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 82 to 48 computations (41.5% saved)

regimes16.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes53.0ms (1%)

Counts

6 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes14.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
82.6%	3	`x`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes8.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
65.1%	2	`x`

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes8.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
59.9%	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.4%	1	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.490559033852528e-9	12.9353755819422
0.0ms	-1.430709820420752	-0.0019731406543406394

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	7.490559066949314e-9	207363.4648549617
9.0ms	-0.001973141934673731	-0.0009977398132202777

Results

30.0ms

224×

body

256

valid

Compiler

Compiled 335 to 236 computations (29.6% saved)

bsearch72.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.490559066949314e-9	207363.4648549617
49.0ms	-1.9712636273712318	-0.001973141934673731

Results

68.0ms

288×

body

256

valid

Compiler

Compiled 399 to 284 computations (28.8% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	7.490559066949314e-9	207363.4648549617
19.0ms	-1.9712636273712318	-0.001973141934673731

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 359 to 254 computations (29.2% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.490559066949314e-9	207363.4648549617
19.0ms	-1.9712636273712318	-0.001973141934673731

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 251 to 164 computations (34.7% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.490559066949314e-9	207363.4648549617
15.0ms	-19.269080253338128	-1.9712636273712318

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 219 to 140 computations (36.1% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.9712636273712318	-0.001973141934673731

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 121 to 84 computations (30.6% saved)

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.490559066949314e-9	207363.4648549617

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	885
1	99	885
2	104	885
3	106	885

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -1) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 3022314549036573/302231454903657293676544) (copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -1) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 3022314549036573/302231454903657293676544) (copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 243 to 159 computations (34.6% saved)

soundness1.1s (21.7%)

Rules

1366×	`fma-def`
1002×	`prod-diff`
1002×	`prod-diff`
920×	`sub-neg`
848×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	29	72
2	34	72
3	37	72
4	45	72
5	52	72
6	64	72
7	77	72
8	91	72
9	103	72
10	146	72
11	204	72
12	223	72
13	243	72
14	251	72
15	255	72
0	11	50
1	117	42
2	1547	42
0	372	7022
1	945	6574
2	2930	5720
0	372	7022
1	945	6574
2	2930	5720
0	372	7022
1	945	6574
2	2930	5720
0	372	7022
1	945	6574
2	2930	5720
0	372	7022
1	945	6574
2	2930	5720
0	372	7022
1	945	6574
2	2930	5720
0	11	50
1	117	42
2	1547	42
0	372	7022
1	945	6574
2	2930	5720
0	200	2969
1	473	2844
2	1478	2839
3	5692	2786

Stop Event

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

Compiler

Compiled 1062 to 715 computations (32.7% saved)

end0.0ms (0%)

preprocess329.0ms (6.3%)

Compiler: Compiled 538 to 312 computations (42% saved)

Iter	Nodes	Cost
0	18	81
1	29	72
2	34	72
3	37	72
4	45	72
5	52	72
6	64	72
7	77	72
8	91	72
9	103	72
10	146	72
11	204	72
12	223	72
13	243	72
14	251	72
15	255	72

Iter	Nodes	Cost
0	18	81
1	29	72
2	34	72
3	37	72
4	45	72
5	52	72
6	64	72
7	77	72
8	91	72
9	103	72
10	146	72
11	204	72
12	223	72
13	243	72
14	251	72
15	255	72

analyze0.0ms (0%)

sample605.0ms (11.7%)

preprocess154.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize115.0ms (2.2%)

series3.0ms (0.1%)

rewrite104.0ms (2%)

simplify89.0ms (1.7%)

eval139.0ms (2.7%)

prune231.0ms (4.4%)

localize436.0ms (8.4%)

series4.0ms (0.1%)

rewrite83.0ms (1.6%)

simplify145.0ms (2.8%)

eval69.0ms (1.3%)

prune32.0ms (0.6%)

localize114.0ms (2.2%)

eval0.0ms (0%)

prune8.0ms (0.1%)

localize350.0ms (6.7%)

series5.0ms (0.1%)

rewrite126.0ms (2.4%)

simplify91.0ms (1.7%)

eval98.0ms (1.9%)

prune211.0ms (4.1%)

regimes53.0ms (1%)

regimes57.0ms (1.1%)

regimes36.0ms (0.7%)

regimes16.0ms (0.3%)

regimes53.0ms (1%)

regimes14.0ms (0.3%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch33.0ms (0.6%)

bsearch72.0ms (1.4%)

bsearch41.0ms (0.8%)

bsearch41.0ms (0.8%)

bsearch36.0ms (0.7%)

bsearch18.0ms (0.3%)

bsearch23.0ms (0.4%)

simplify15.0ms (0.3%)

soundness1.1s (21.7%)

end0.0ms (0%)

preprocess329.0ms (6.3%)

Profiling

Iter	Nodes	Cost
0	18	81
1	29	72
2	34	72
3	37	72
4	45	72
5	52	72
6	64	72
7	77	72
8	91	72
9	103	72
10	146	72
11	204	72
12	223	72
13	243	72
14	251	72
15	255	72