Metrics for Kahan's exp quotient

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.2s (40.1%)

Results

492.0ms	2072×	body	1024	valid
353.0ms	2922×	body	256	valid
171.0ms	2030×	body	256	infinite
138.0ms	1024×	body	512	valid
48.0ms	208×	body	2048	valid

Bogosity

preprocess114.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1784×	`div-sub`
1494×	`fma-neg`
1012×	`times-frac`
642×	`distribute-lft-neg-in`
556×	`distribute-rgt-neg-in`

Problems

130×	`(-.f64 (exp.f64 x) 1)`
126×	No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	65	86
3	144	80
4	380	80
5	1034	80
6	4094	80
7	7626	80

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize18.0ms (0.6%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	inf	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	0	(expm1.f64 x)
0.0ms	x	@	0	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	inf	(expm1.f64 x)

rewrite97.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`unpow-prod-down`
354×	`cbrt-prod`
352×	`log-prod`
332×	`log1p-expm1-u`
331×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	68	25
2	882	25

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)

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

simplify83.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1724×	`fma-neg`
886×	`associate-/r*`
498×	`sqr-pow`
404×	`associate-r`
394×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3225
1	696	3106
2	2801	3008
3	7555	3008

Stop Event

1×	node limit

Counts

129 → 167

Calls

Call 1

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

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

eval70.0ms (2.3%)

Compiler: Compiled 1899 to 928 computations (51.1% saved)

prune33.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	5	168

Accuracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
▶	52.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
▶	52.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1

Compiler

Compiled 60 to 46 computations (23.3% saved)

localize62.0ms (2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/2 (*.f64 x 1/6))
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
✓	99.5%	(*.f64 x 1/6)
	100.0%	(expm1.f64 x)
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 54 to 38 computations (29.6% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0ms	x	@	-inf	(*.f64 x 1/6)
0.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	0	(*.f64 x 1/6)

rewrite79.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`log-prod`
828×	`log1p-expm1-u`
827×	`expm1-log1p-u`
568×	`prod-diff`
380×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	173	60
2	2316	60

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 x 1/6)
(.f64 x (+.f64 1/2 (.f64 x 1/6)))
(+.f64 1/2 (*.f64 x 1/6))

Outputs
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (*.f64 x 1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/6))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 1/6 (pow.f64 x 2)) 3)) (fma.f64 (.f64 x 1/2) (.f64 x 1/2) (-.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (+.f64 1/2 (*.f64 -1/6 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) x) (+.f64 1/2 (*.f64 -1/6 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))))
(log.f64 (.f64 (exp.f64 (.f64 1/6 (pow.f64 x 2))) (exp.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 1/6 (pow.f64 x 2)))) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/6))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/6))) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 -1/6 x))) (/.f64 (.f64 (pow.f64 x 2) 1/36) (+.f64 1/2 (*.f64 -1/6 x))))
(*.f64 1 (fma.f64 x 1/6 1/2))
(*.f64 (fma.f64 x 1/6 1/2) 1)
(*.f64 (fma.f64 x 1/6 1/2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 2) (cbrt.f64 (fma.f64 x 1/6 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x 1/6 1/2)) (sqrt.f64 (fma.f64 x 1/6 1/2)))
(.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (/.f64 1 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4)))
(.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (/.f64 1 (+.f64 1/2 (*.f64 -1/6 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/6 x)) (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (pow.f64 x 2) 1/36 (-.f64 1/4 (*.f64 1/12 x))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 -1/6 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8)) (neg.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (neg.f64 (+.f64 1/2 (.f64 -1/6 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(pow.f64 (fma.f64 x 1/6 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 1/2)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)) -1)
(pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/6 x)) (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 x 1/6 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/6 1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 1/6 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/6 1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 1/2)))
(fma.f64 1 (*.f64 x 1/6) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 1/6 x 1/2)
(fma.f64 (*.f64 x 1/6) 1 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 x 1/6)) (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (.f64 x 1/6)) 1/2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6) 1/2)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) 1/2)
(fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x) 1/2)

simplify108.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1204×	`fma-neg`
548×	`associate-/l*`
502×	`times-frac`
476×	`associate-/r*`
436×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	389	4742
1	845	4178
2	2629	3984
3	7709	3966

Stop Event

1×	node limit

Counts

210 → 204

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
1/2
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 1/2 (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 1/2 (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 1/2 (*.f64 1/6 x))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (*.f64 x 1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/6))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 1/6 (pow.f64 x 2)) 3)) (fma.f64 (.f64 x 1/2) (.f64 x 1/2) (-.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (+.f64 1/2 (*.f64 -1/6 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) x) (+.f64 1/2 (*.f64 -1/6 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))))
(log.f64 (.f64 (exp.f64 (.f64 1/6 (pow.f64 x 2))) (exp.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 1/6 (pow.f64 x 2)))) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/6))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/6))) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 -1/6 x))) (/.f64 (.f64 (pow.f64 x 2) 1/36) (+.f64 1/2 (*.f64 -1/6 x))))
(*.f64 1 (fma.f64 x 1/6 1/2))
(*.f64 (fma.f64 x 1/6 1/2) 1)
(*.f64 (fma.f64 x 1/6 1/2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 2) (cbrt.f64 (fma.f64 x 1/6 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x 1/6 1/2)) (sqrt.f64 (fma.f64 x 1/6 1/2)))
(.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (/.f64 1 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4)))
(.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (/.f64 1 (+.f64 1/2 (*.f64 -1/6 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/6 x)) (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (pow.f64 x 2) 1/36 (-.f64 1/4 (*.f64 1/12 x))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 -1/6 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8)) (neg.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (neg.f64 (+.f64 1/2 (.f64 -1/6 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(pow.f64 (fma.f64 x 1/6 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 1/2)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)) -1)
(pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/6 x)) (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 x 1/6 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/6 1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 1/6 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/6 1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 1/2)))
(fma.f64 1 (*.f64 x 1/6) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 1/6 x 1/2)
(fma.f64 (*.f64 x 1/6) 1 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 x 1/6)) (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (.f64 x 1/6)) 1/2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6) 1/2)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) 1/2)
(fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x) 1/2)

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/6 1/2))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
1/2
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(*.f64 1/6 x)
(*.f64 x 1/6)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(*.f64 1/6 x)
(*.f64 x 1/6)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 1/2 (*.f64 1/6 x))
(fma.f64 x 1/6 1/2)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 0 (*.f64 x 1/6))
(*.f64 x 1/6)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(*.f64 x 1/6)
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(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 1/4 (*.f64 x (fma.f64 x 1/36 -1/12))))
(.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (/.f64 1 (+.f64 1/2 (*.f64 -1/6 x))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 x -1/6)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/36)) (fma.f64 x -1/6 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 1/4 (*.f64 x (fma.f64 x 1/36 -1/12))))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/6 x)) (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 x -1/6)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/36)) (fma.f64 x -1/6 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 1/4 (*.f64 x (fma.f64 x 1/36 -1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (pow.f64 x 2) 1/36 (-.f64 1/4 (*.f64 1/12 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 1/4 (*.f64 x (fma.f64 x 1/36 -1/12))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 -1/6 x)))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 x -1/6)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/36)) (fma.f64 x -1/6 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8)) (neg.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 1/4 (*.f64 x (fma.f64 x 1/36 -1/12))))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (neg.f64 (+.f64 1/2 (.f64 -1/6 x))))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 x -1/6)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/36)) (fma.f64 x -1/6 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 x -1/6)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/36)) (fma.f64 x -1/6 1/2))
(pow.f64 (fma.f64 x 1/6 1/2) 1)
(fma.f64 x 1/6 1/2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 1/2)) 3)
(fma.f64 x 1/6 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) 1/3)
(fma.f64 x 1/6 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 1/2)) 2)
(fma.f64 x 1/6 1/2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)) -1)
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/216 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 1/4 (*.f64 x (fma.f64 x 1/36 -1/12))))
(pow.f64 (/.f64 (+.f64 1/2 (.f64 -1/6 x)) (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) -1)
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) (+.f64 1/2 (.f64 x -1/6)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/36)) (fma.f64 x -1/6 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 x 1/6 -1/2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1/2) 2))
(fma.f64 x 1/6 1/2)
(log.f64 (exp.f64 (fma.f64 x 1/6 1/2)))
(fma.f64 x 1/6 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 1/2))))
(fma.f64 x 1/6 1/2)
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3))
(fma.f64 x 1/6 1/2)
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 1/2)))
(fma.f64 x 1/6 1/2)
(exp.f64 (log.f64 (fma.f64 x 1/6 1/2)))
(fma.f64 x 1/6 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))
(fma.f64 x 1/6 1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) 1))
(fma.f64 x 1/6 1/2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/6 1/2))) 3))
(fma.f64 x 1/6 1/2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 1/6 1/2))) 1/3))
(fma.f64 x 1/6 1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/6 1/2))) 2))
(fma.f64 x 1/6 1/2)
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 1/2)))
(fma.f64 x 1/6 1/2)
(fma.f64 1 (*.f64 x 1/6) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 1/6 x 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (*.f64 x 1/6) 1 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (cbrt.f64 (.f64 x 1/6)) (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (.f64 x 1/6)) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/2)
(fma.f64 x 1/6 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x) 1/2)
(fma.f64 x 1/6 1/2)

eval99.0ms (3.3%)

Compiler: Compiled 3619 to 2595 computations (28.3% saved)

prune43.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	0	1	1
Picked	0	3	3
Done	0	1	1
Total	270	6	276

Accuracy

100.0%

Counts

276 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	52.1%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	52.1%	(*.f64 (/.f64 1 x) x)
	52.2%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	52.1%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	52.1%	(*.f64 (/.f64 1 x) x)
	52.2%	1

Compiler

Compiled 72 to 54 computations (25% saved)

localize22.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 1 x) x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 1 x) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1 x) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 1 x) x)

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`associate-r`
418×	`associate-l`
376×	`frac-times`
300×	`unpow-prod-down`
220×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	1
1	86	1
2	655	1

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(*.f64 (/.f64 1 x) x)

Outputs
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
8
9

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	42
1	33	42

Stop Event

1×

saturated

Counts

42 → 30

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
8
9

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
8
9

eval3.0ms (0.1%)

Compiler: Compiled 31 to 31 computations (0% saved)

prune12.0ms (0.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	26	10	36

Accuracy

100.0%

Counts

36 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	52.1%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	10.6%	9
	13.2%	4/3
	52.2%	1
	10.8%	1/6
	10.6%	1/9
	3.4%	0
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	52.1%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	10.6%	9
	13.2%	4/3
	52.2%	1
	10.8%	1/6
	10.6%	1/9
	3.4%	0

Compiler

Compiled 80 to 66 computations (17.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	0	0
Done	4	4
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	62.9%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	52.1%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	10.6%	9
	13.2%	4/3
	52.2%	1
	10.8%	1/6
	10.6%	1/9
	3.4%	0

Compiler

Compiled 82 to 63 computations (23.2% saved)

regimes21.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

Inputs
0
1/9
1/6
1
4/3
9
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

15.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

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

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes8.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
0
1/9
1/6
1
4/3
9
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))

Outputs
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
62.9%	1	`x`

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes11.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
0
1/9
1/6
1
4/3
9
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))

Outputs
1

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
52.2%	1	`x`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
0
1/9
1/6

Outputs
1/6

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
10.8%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
1/9

Outputs
1/9

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
10.6%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.4%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	22	52

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
1
1/6
1/9
0

Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
1
1/6
1/9
0

Compiler

Compiled 23 to 19 computations (17.4% saved)

soundness794.0ms (26.2%)

Rules

1784×	`div-sub`
1724×	`fma-neg`
1494×	`fma-neg`
1012×	`times-frac`
886×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	65	86
3	144	80
4	380	80
5	1034	80
6	4094	80
7	7626	80
0	8	25
1	68	25
2	882	25
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	8	1
1	86	1
2	655	1
0	312	3225
1	696	3106
2	2801	3008
3	7555	3008

Stop Event

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

Compiler

Compiled 104 to 76 computations (26.9% saved)

end0.0ms (0%)

preprocess56.0ms (1.8%)

Compiler: Compiled 96 to 68 computations (29.2% saved)

analyze1.0ms (0%)

sample1.2s (40.1%)

preprocess114.0ms (3.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize18.0ms (0.6%)

series2.0ms (0.1%)

rewrite97.0ms (3.2%)

simplify83.0ms (2.7%)

eval70.0ms (2.3%)

prune33.0ms (1.1%)

localize62.0ms (2%)

series3.0ms (0.1%)

rewrite79.0ms (2.6%)

simplify108.0ms (3.6%)

eval99.0ms (3.3%)

prune43.0ms (1.4%)

localize22.0ms (0.7%)

series0.0ms (0%)

rewrite48.0ms (1.6%)

simplify4.0ms (0.1%)

eval3.0ms (0.1%)

prune12.0ms (0.4%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes21.0ms (0.7%)

regimes8.0ms (0.3%)

regimes11.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness794.0ms (26.2%)

end0.0ms (0%)

preprocess56.0ms (1.8%)

Profiling