Metrics for expm1 (example 3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (61.1%)

Results

962.0ms	4135×	body	1024	valid
317.0ms	2134×	body	512	valid
167.0ms	1730×	body	256	valid
67.0ms	257×	body	2048	valid

Bogosity

preprocess110.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def`
980×	`associate-+r-`
930×	`*-commutative`
860×	`associate--r+`
786×	`associate--l+`

Problems

254×	`(-.f64 (exp.f64 x) 1)`
2×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	26	44
2	45	44
3	74	44
4	114	44
5	233	44
6	560	44
7	1525	44
8	4024	44

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))

Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 x)
▶	100.0%	(expm1.f64 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize17.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(expm1.f64 x)

Compiler

Compiled 5 to 3 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 x)
0.0ms	x	@	inf	(expm1.f64 x)
0.0ms	x	@	-inf	(expm1.f64 x)

rewrite182.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`associate-*l/`
650×	`associate-+r+`
514×	`associate-r`
460×	`associate-+l+`
326×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	42	8
2	419	8
3	4444	8

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

Inputs
(expm1.f64 x)

Outputs
(+.f64 (expm1.f64 x) 0)
(+.f64 (expm1.f64 x) (-.f64 1 (log.f64 (E.f64))))
(+.f64 1 (+.f64 (exp.f64 x) -2))
(+.f64 1 (+.f64 (expm1.f64 x) -1))
(+.f64 1 (-.f64 (expm1.f64 x) (log.f64 (E.f64))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 1 (exp.f64 x)) -2)
(+.f64 (+.f64 1 (exp.f64 x)) (-.f64 -1 (log.f64 (E.f64))))
(+.f64 -1 (exp.f64 x))
(+.f64 0 (expm1.f64 x))
(+.f64 (+.f64 (exp.f64 x) -2) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (+.f64 1 (exp.f64 x)) 2)
(-.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (log.f64 (E.f64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 (pow.f64 (expm1.f64 x) 1/4) (.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(.f64 (pow.f64 (expm1.f64 x) 1/6) (.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) 1)
(/.f64 1 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) -1)) (+.f64 -1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 1 (exp.f64 x)) (/.f64 (+.f64 1 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (/.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1))) (/.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (.f64 (.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) 1) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) 1) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) 1) (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 1 (log.f64 (E.f64))) (/.f64 1 (expm1.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (log.f64 (E.f64))) (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (log.f64 (E.f64))) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (log.f64 (E.f64))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) -1)))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (log.f64 (E.f64))) (+.f64 1 (exp.f64 x)))
(/.f64 (.f64 (.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (log.f64 (E.f64))) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (E.f64))) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (log.f64 (E.f64))) (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 1) (/.f64 1 (+.f64 1 (exp.f64 x)))) (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) 1) (/.f64 1 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) 2) 1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) 1) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))) (+.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) 1) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-/l*`
1056×	`distribute-lft-in`
900×	`distribute-rgt-in`
878×	`associate-*r/`
800×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	5016
1	769	4901
2	2583	4061

Stop Event

1×	node limit

Counts

133 → 181

Calls

Call 1

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

Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 x 1/6))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 x 1/6)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(+.f64 (expm1.f64 x) 0)
(expm1.f64 x)
(+.f64 (expm1.f64 x) (-.f64 1 (log.f64 (E.f64))))
(expm1.f64 x)
(+.f64 1 (+.f64 (exp.f64 x) -2))
(expm1.f64 x)
(+.f64 1 (+.f64 (expm1.f64 x) -1))
(expm1.f64 x)
(+.f64 1 (-.f64 (expm1.f64 x) (log.f64 (E.f64))))
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 (+.f64 1 (exp.f64 x)) -2)
(expm1.f64 x)
(+.f64 (+.f64 1 (exp.f64 x)) (-.f64 -1 (log.f64 (E.f64))))
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(+.f64 0 (expm1.f64 x))
(expm1.f64 x)
(+.f64 (+.f64 (exp.f64 x) -2) 1)
(expm1.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
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(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 -1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 -1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)

eval61.0ms (2.3%)

Compiler: Compiled 2851 to 1770 computations (37.9% saved)

prune25.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	3	182

Accuracy

100.0%

Counts

182 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 x)
▶	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x
✓	100.0%	(expm1.f64 x)
▶	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize49.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 x)
✓	99.8%	(*.f64 3 (log.f64 (expm1.f64 x)))
✓	99.7%	(.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3)
✓	96.1%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series46.0ms (1.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3)
18.0ms	x	@	-inf	(.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3)
0.0ms	x	@	0	(.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3)
0.0ms	x	@	-inf	(*.f64 3 (log.f64 (expm1.f64 x)))
0.0ms	x	@	inf	(*.f64 3 (log.f64 (expm1.f64 x)))

rewrite66.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

384×	`*-commutative`
380×	`exp-prod`
352×	`log-prod`
318×	`cbrt-prod`
305×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	120	38
2	1227	38

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3)
(*.f64 3 (log.f64 (expm1.f64 x)))

Outputs
(+.f64 1 (+.f64 (expm1.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (expm1.f64 x) -1) 1)
(+.f64 -1 (exp.f64 x))
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (expm1.f64 x) -1) 2)) (-.f64 1 (+.f64 (expm1.f64 x) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (expm1.f64 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (expm1.f64 x) -1) 2) (+.f64 (expm1.f64 x) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 (+.f64 (log.f64 (expm1.f64 x)) 1)) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 (log.f64 (expm1.f64 x)) 1)) (E.f64))
(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)) (exp.f64 1/3))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 6) 1/6)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))) (.f64 1/3 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) (.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (.f64 1/3 (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9)))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 1/3 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 1/3 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/4)) (pow.f64 (log.f64 (expm1.f64 x)) 1/4))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (E.f64) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (.f64 1/3 (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9)))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))) (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 3 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(+.f64 (log.f64 (expm1.f64 x)) 0)
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) -1)
(+.f64 0 (log.f64 (expm1.f64 x)))
(+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) 1) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1))
(-.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) 1)
(-.f64 (+.f64 0 (+.f64 (log.f64 (expm1.f64 x)) 1)) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 2)) (-.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))) (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))) (-.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (expm1.f64 x)) 2)) (-.f64 0 (log.f64 (expm1.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) (+.f64 (log.f64 (expm1.f64 x)) 1)) 1) (+.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) 1))
(/.f64 (+.f64 (pow.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3)) (+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (-.f64 (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3) (pow.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))) (-.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))))))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (expm1.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) (*.f64 0 (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) (+.f64 (log.f64 (expm1.f64 x)) 1)) (+.f64 1 (+.f64 (log.f64 (expm1.f64 x)) 1))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(fabs.f64 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3)) 1/3))
(log1p.f64 (+.f64 (expm1.f64 x) -1))
(+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 2))
(+.f64 (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1) -1)
(+.f64 0 (*.f64 3 (log.f64 (expm1.f64 x))))
(+.f64 (*.f64 (log.f64 (expm1.f64 x)) 2) (log.f64 (expm1.f64 x)))
(+.f64 (.f64 3 (log.f64 (sqrt.f64 (expm1.f64 x)))) (.f64 3 (log.f64 (sqrt.f64 (expm1.f64 x)))))
(+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3) (log.f64 (expm1.f64 x)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3) (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 3/2)) (log.f64 (pow.f64 (expm1.f64 x) 3/2)))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 5/2)) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1) 1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1)) 1) (+.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1)) (+.f64 1 (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1))))
(pow.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9) 1/2)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27) 1/3)
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x))))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))
(fabs.f64 (*.f64 3 (log.f64 (expm1.f64 x))))
(log.f64 (pow.f64 (expm1.f64 x) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27)) 1/3))
(log1p.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) -1))

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

502×	`sqr-pow`
314×	`fma-def`
302×	`associate-r`
242×	`associate-l`
222×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	1918
1	1145	1918
2	4853	1918

Stop Event

1×

unsound

Counts

202 → 188

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 x) (+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(*.f64 3 (log.f64 x))
(+.f64 (.f64 3/2 x) (.f64 3 (log.f64 x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 3 (log.f64 x))))
(+.f64 (.f64 -1/960 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (.f64 3 (log.f64 x)))))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(+.f64 1 (+.f64 (expm1.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (expm1.f64 x) -1) 1)
(+.f64 -1 (exp.f64 x))
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (expm1.f64 x) -1) 2)) (-.f64 1 (+.f64 (expm1.f64 x) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (expm1.f64 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (expm1.f64 x) -1) 2) (+.f64 (expm1.f64 x) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 (+.f64 (log.f64 (expm1.f64 x)) 1)) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 (log.f64 (expm1.f64 x)) 1)) (E.f64))
(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)) (exp.f64 1/3))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 6) 1/6)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))) (.f64 1/3 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) (.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (.f64 1/3 (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9)))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 1/3 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 1/3 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/4)) (pow.f64 (log.f64 (expm1.f64 x)) 1/4))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (E.f64) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (.f64 1/3 (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9)))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))) (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 3 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(+.f64 (log.f64 (expm1.f64 x)) 0)
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) -1)
(+.f64 0 (log.f64 (expm1.f64 x)))
(+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) 1) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1))
(-.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) 1)
(-.f64 (+.f64 0 (+.f64 (log.f64 (expm1.f64 x)) 1)) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 2)) (-.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))) (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))) (-.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (expm1.f64 x)) 2)) (-.f64 0 (log.f64 (expm1.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) (+.f64 (log.f64 (expm1.f64 x)) 1)) 1) (+.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) 1))
(/.f64 (+.f64 (pow.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3)) (+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (-.f64 (pow.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3) (pow.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))) (-.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x)))))))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (expm1.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) (*.f64 0 (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (expm1.f64 x)) 1) (+.f64 (log.f64 (expm1.f64 x)) 1)) (+.f64 1 (+.f64 (log.f64 (expm1.f64 x)) 1))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(fabs.f64 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3)) 1/3))
(log1p.f64 (+.f64 (expm1.f64 x) -1))
(+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 2))
(+.f64 (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1) -1)
(+.f64 0 (*.f64 3 (log.f64 (expm1.f64 x))))
(+.f64 (*.f64 (log.f64 (expm1.f64 x)) 2) (log.f64 (expm1.f64 x)))
(+.f64 (.f64 3 (log.f64 (sqrt.f64 (expm1.f64 x)))) (.f64 3 (log.f64 (sqrt.f64 (expm1.f64 x)))))
(+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3) (log.f64 (expm1.f64 x)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3) (.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 3/2)) (log.f64 (pow.f64 (expm1.f64 x) 3/2)))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 5/2)) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1) 1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1)) 1) (+.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1) (+.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1)) (+.f64 1 (+.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1))))
(pow.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9) 1/2)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27) 1/3)
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (log.f64 (.f64 3 (log.f64 (expm1.f64 x))))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))
(fabs.f64 (*.f64 3 (log.f64 (expm1.f64 x))))
(log.f64 (pow.f64 (expm1.f64 x) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27)) 1/3))
(log1p.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) -1))

Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (*.f64 x 1/2))
(+.f64 (log.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 x) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (log.f64 x) (+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 x) (fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2))))
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(log.f64 (-.f64 (exp.f64 x) 1))
(expm1.f64 x)
(*.f64 3 (log.f64 x))
(+.f64 (.f64 3/2 x) (.f64 3 (log.f64 x)))
(fma.f64 3/2 x (*.f64 3 (log.f64 x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 3 (log.f64 x))))
(fma.f64 1/8 (pow.f64 x 2) (fma.f64 3/2 x (*.f64 3 (log.f64 x))))
(+.f64 (.f64 -1/960 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (.f64 3 (log.f64 x)))))
(fma.f64 -1/960 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (fma.f64 3/2 x (*.f64 3 (log.f64 x)))))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(+.f64 1 (+.f64 (expm1.f64 x) -1))
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 (+.f64 (expm1.f64 x) -1) 1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(+.f64 0 (expm1.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(expm1.f64 x)
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 x)
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(expm1.f64 x)
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(expm1.f64 x)
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 x)
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(expm1.f64 x)
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (log.f64 (expm1.f64 x))))) 3))
(expm1.f64 x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27)) 1/3))
(expm1.f64 x)
(log1p.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) -1))
(expm1.f64 x)

eval140.0ms (5.4%)

Compiler: Compiled 6266 to 4154 computations (33.7% saved)

prune53.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	369	3	372

Accuracy

100.0%

Counts

372 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 x)
✓	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x
✓	100.0%	(expm1.f64 x)
✓	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 x)
✓	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x
✓	100.0%	(expm1.f64 x)
✓	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 x)
✓	39.2%	(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
	98.1%	x

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))

Outputs
(expm1.f64 x)

Calls

3 calls:

4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (exp.f64 x) 1)`
100.0%	1	`(exp.f64 x)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 x)
x

Outputs
(expm1.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness86.0ms (3.3%)

Rules

1004×	`fma-def`
980×	`associate-+r-`
930×	`*-commutative`
860×	`associate--r+`
786×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	26	44
2	45	44
3	74	44
4	114	44
5	233	44
6	560	44
7	1525	44
8	4024	44

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess34.0ms (1.3%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

analyze0.0ms (0%)

sample1.6s (61.1%)

preprocess110.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.6%)

series1.0ms (0%)

rewrite182.0ms (7%)

simplify63.0ms (2.4%)

eval61.0ms (2.3%)

prune25.0ms (0.9%)

localize49.0ms (1.9%)

series46.0ms (1.8%)

rewrite66.0ms (2.5%)

simplify55.0ms (2.1%)

eval140.0ms (5.4%)

prune53.0ms (2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

simplify2.0ms (0.1%)

soundness86.0ms (3.3%)

end0.0ms (0%)

preprocess34.0ms (1.3%)

Profiling