Metrics for Kahan's exp quotient

analyze2.0ms (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)

sample1.4s (24.2%)

Results

533.0ms	2127×	body	1024	valid
407.0ms	2953×	body	256	valid
190.0ms	2043×	body	256	infinite
172.0ms	987×	body	512	valid
48.0ms	146×	body	2048	valid

Bogosity

preprocess145.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1782×	`div-sub`
1494×	`fma-neg`
1012×	`times-frac`
636×	`distribute-lft-neg-in`
552×	`distribute-rgt-neg-in`

Problems

136×	`(-.f64 (exp.f64 x) 1)`
120×	No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	39	88
2	68	86
3	147	80
4	384	80
5	1036	80
6	4095	80
7	7627	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)

prune1.0ms (0%)

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)

localize41.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite180.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	68	17
2	885	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) 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 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (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 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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)))

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def`
714×	`associate-*r/`
690×	`unswap-sqr`
682×	`distribute-lft-in`
626×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2185
1	503	2106
2	1597	2042
3	7896	2042

Stop Event

1×	node limit

Counts

76 → 100

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 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 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (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 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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)))

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 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1))
(+.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 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1)))
(/.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 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 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 x) x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.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 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 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 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 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 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.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 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (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 (expm1.f64 x) x)
(.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 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 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)

eval25.0ms (0.4%)

Compiler: Compiled 1133 to 517 computations (54.4% saved)

prune16.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	6	101

Accuracy

100.0%

Counts

101 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	79.6%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	54.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
▶	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	53.8%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	79.6%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	54.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
▶	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	53.8%	1

Compiler

Compiled 80 to 62 computations (22.5% saved)

localize629.0ms (11.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (/.f64 (expm1.f64 x) x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	79.6%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	100.0%	(/.f64 1 (expm1.f64 x))
✓	99.9%	(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
✓	99.8%	(pow.f64 (/.f64 1 (expm1.f64 x)) -1)
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 76 to 42 computations (44.7% saved)

series4.0ms (0.1%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (/.f64 1 (expm1.f64 x)) -1)
1.0ms	x	@	-inf	(pow.f64 (/.f64 1 (expm1.f64 x)) -1)
0.0ms	x	@	0	(pow.f64 (/.f64 1 (expm1.f64 x)) -1)
0.0ms	x	@	0	(/.f64 1 (expm1.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 1 x) (expm1.f64 x))

rewrite147.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`prod-diff`
1068×	`fma-def`
865×	`log1p-expm1-u`
864×	`expm1-log1p-u`
266×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	108
1	252	96
2	3081	96

Stop Event

1×	node limit

Counts

6 → 399

Calls

Call 1

Inputs
(*.f64 (/.f64 1 x) (expm1.f64 x))
(pow.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 1 (expm1.f64 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))

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

simplify190.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

864×	`div-sub`
490×	`cube-prod`
488×	`log-prod`
458×	`exp-prod`
400×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13348
1	998	13055
2	4318	13043

Stop Event

1×	node limit

Counts

471 → 312

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)
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 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
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)
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (*.f64 (/.f64 1 (expm1.f64 x)) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (*.f64 (neg.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 -1 (*.f64 (/.f64 1 (expm1.f64 x)) (neg.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 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)
(pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) x) -1)
(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)))
(log.f64 (+.f64 1 (expm1.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)))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)) 0)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
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(*.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 (/.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(.f64 (.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (*.f64 (/.f64 1 (expm1.f64 x)) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (*.f64 (neg.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 -1 (*.f64 (/.f64 1 (expm1.f64 x)) (neg.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 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)
(pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) x) -1)
(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)))
(log.f64 (+.f64 1 (expm1.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)))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)) 0)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)) 0)
(fma.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 0)
(fma.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 0)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)) 0)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) 1)
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)) 1)
(fma.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 1)
(fma.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 1)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.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 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 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 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(/.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 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 (.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 (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 (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)
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 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 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 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(/.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 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))) -1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
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 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 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 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(/.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)
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (fma.f64 1/2 x 2))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 2))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))) (/.f64 -1 (+.f64 2 (/.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 1 (*.f64 (/.f64 1 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 -2 (/.f64 (expm1.f64 x) x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (*.f64 (neg.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (*.f64 (/.f64 1 (expm1.f64 x)) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.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 (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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
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(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
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(*.f64 (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (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 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
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(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 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)
(pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) x) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
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(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))))
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(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)
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(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
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(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
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(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (-.f64 1 (/.f64 (expm1.f64 x) x))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 -2 (/.f64 (expm1.f64 x) x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
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(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
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(fma.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 0)
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(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)) 0)
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(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
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(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
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(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
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(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
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(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
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(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
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(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
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(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
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(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
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(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (expm1.f64 x) x) 1 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2) 1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) 1)
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(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) 1)
(fma.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))

eval150.0ms (2.7%)

Compiler: Compiled 5943 to 3385 computations (43% saved)

prune63.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	407	5	412
Fresh	0	1	1
Picked	2	2	4
Done	0	1	1
Total	409	9	418

Accuracy

100.0%

Counts

418 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	54.1%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
▶	54.1%	(-.f64 (+.f64 1 (+.f64 1 (*.f64 1/2 x))) 1)
✓	54.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (expm1.f64 x))))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	53.6%	(*.f64 (/.f64 1 x) x)
	53.8%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	54.1%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
▶	54.1%	(-.f64 (+.f64 1 (+.f64 1 (*.f64 1/2 x))) 1)
✓	54.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (expm1.f64 x))))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	53.6%	(*.f64 (/.f64 1 x) x)
	53.8%	1

Compiler

Compiled 208 to 166 computations (20.2% saved)

localize169.0ms (3%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 1 (expm1.f64 x))
✓	99.9%	(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (expm1.f64 x))))
✓	99.8%	(/.f64 1 (/.f64 1 (expm1.f64 x)))
✓	100.0%	(+.f64 1 (+.f64 1 (*.f64 1/2 x)))
✓	100.0%	(-.f64 (+.f64 1 (+.f64 1 (*.f64 1/2 x))) 1)
✓	100.0%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	99.8%	(*.f64 (/.f64 1 x) x)
✓	100.0%	(/.f64 x (expm1.f64 x))
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))

Compiler

Compiled 99 to 66 computations (33.3% saved)

series4.0ms (0.1%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (/.f64 x (expm1.f64 x)))
1.0ms	x	@	-inf	(/.f64 x (expm1.f64 x))
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
0.0ms	x	@	inf	(/.f64 x (expm1.f64 x))
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

rewrite158.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`prod-diff`
829×	`log1p-expm1-u`
412×	`expm1-udef`
412×	`log1p-udef`
244×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	104
1	417	96
2	4211	96

Stop Event

1×	node limit

Counts

8 → 326

Calls

Call 1

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

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

simplify150.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

990×	`log-prod`
666×	`exp-prod`
600×	`cube-prod`
572×	`fma-neg`
548×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	9274
1	1272	8762
2	5030	8730

Stop Event

1×	node limit

Counts

422 → 336

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)
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 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)
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 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
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(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) -1/2)))
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(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (expm1.f64 x))))
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(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (/.f64 1 (expm1.f64 x))))
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(*.f64 (/.f64 (/.f64 1 x) 1) (expm1.f64 x))
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(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(.f64 (.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 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 (expm1.f64 x) 3) (pow.f64 (/.f64 1 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 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 (expm1.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 x (expm1.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 x (expm1.f64 x)))
(*.f64 x (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(*.f64 -1 (/.f64 (neg.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
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(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 x) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
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(.f64 (.f64 x (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 x (pow.f64 (expm1.f64 x) -1/2)) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (/.f64 x -1) (/.f64 -1 (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))
1
(+.f64 1 (*.f64 x 1/2))
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(*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)))
(.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (-.f64 (+.f64 1 (.f64 (pow.f64 x 2) 1/4)) (.f64 x 1/2))))
(.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (+.f64 (.f64 x 1/2) 3))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (-.f64 1 (*.f64 x 1/2))))
(.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 2) 2) -1) (/.f64 1 (+.f64 (.f64 x 1/2) 3)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 1))
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(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) 1) (-.f64 (.f64 x 1/2) 1))
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(pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 3))
(expm1.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log1p.f64 (.f64 x 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 1)))
(fma.f64 1 (*.f64 x 1/2) 1)
(fma.f64 1 (fma.f64 x 1/2 2) -1)
(fma.f64 x 1/2 1)
(fma.f64 1/2 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)) -1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) 1)
(-.f64 (fma.f64 x 1/2 2) 0)
(-.f64 (+.f64 (*.f64 x 1/2) 3) 1)
(-.f64 (/.f64 1 (-.f64 0 (.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (.f64 x 1/2))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(*.f64 1 (fma.f64 x 1/2 2))
(*.f64 (fma.f64 x 1/2 2) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 1))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 1))
(.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (.f64 x 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) -4) (/.f64 1 (fma.f64 x 1/2 -2)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 (fma.f64 x 1/2 1) (.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)) (+.f64 (.f64 (pow.f64 x 3) 1/8) 8)))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 -2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (.f64 (fma.f64 x 1/2 1) (.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) (+.f64 4 (-.f64 (.f64 (pow.f64 x 2) 1/4) x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4) (fma.f64 x 1/2 -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (.f64 (fma.f64 x 1/2 1) (.f64 x 1/2)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8)) (neg.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (neg.f64 (fma.f64 x 1/2 -2)))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 2) 1/4)) (-.f64 2 (.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) 1) (+.f64 1 (.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) 1) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) 1) (-.f64 0 (.f64 x 1/2)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) -4) 1) (fma.f64 x 1/2 -2))
(pow.f64 (fma.f64 x 1/2 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))
(fma.f64 1 (*.f64 x 1/2) 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) 2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) 2)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(-.f64 (/.f64 (exp.f64 x) 1) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 -1 (neg.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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (/.f64 1 (expm1.f64 x)) -1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (expm1.f64 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 1 (*.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 x)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (expm1.f64 x)))
(/.f64 -1 (*.f64 (/.f64 1 (expm1.f64 x)) (neg.f64 x)))
(/.f64 -1 (*.f64 (/.f64 -1 (expm1.f64 x)) x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) -1) (/.f64 -1 (expm1.f64 x)))
(/.f64 (*.f64 -1 (/.f64 1 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) -1/2)) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 (expm1.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 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 (expm1.f64 x) 3) (pow.f64 (/.f64 1 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 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 (expm1.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 x (expm1.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

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 (*.f64 1/6 (pow.f64 x 2)) (fma.f64 1/2 x 1))
(+.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 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(/.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)
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 (pow.f64 x 2) 1/12)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/12 (*.f64 x -1/2)))
(+.f64 1 (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/12))))
(+.f64 (fma.f64 (pow.f64 x 2) 1/12 (*.f64 -1/720 (pow.f64 x 4))) (fma.f64 x -1/2 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
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 (.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 (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)
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 (*.f64 1/6 (pow.f64 x 2)) (fma.f64 1/2 x 1))
(+.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 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(/.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 (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 (expm1.f64 x) 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 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 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 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 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 (sqrt.f64 (expm1.f64 x)) (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 x (pow.f64 (expm1.f64 x) -1/2)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
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(*.f64 (/.f64 (/.f64 1 x) 1) (expm1.f64 x))
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(pow.f64 (/.f64 x (expm1.f64 x)) -1)
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))
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(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
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(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
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(/.f64 (expm1.f64 x) x)
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(*.f64 x (/.f64 1 (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
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(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
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(/.f64 x (expm1.f64 x))
1
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(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval112.0ms (2%)

Compiler: Compiled 4588 to 3238 computations (29.4% saved)

prune52.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	368	4	372
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	371	10	381

Accuracy

100.0%

Counts

381 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	56.9%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
✓	54.1%	(+.f64 1 (*.f64 1/2 x))
▶	56.8%	(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
▶	55.2%	(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	53.6%	(*.f64 (/.f64 1 x) x)
▶	3.7%	(*.f64 1/2 x)
	53.8%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	56.9%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
✓	54.1%	(+.f64 1 (*.f64 1/2 x))
▶	56.8%	(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
▶	55.2%	(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	53.6%	(*.f64 (/.f64 1 x) x)
▶	3.7%	(*.f64 1/2 x)
	53.8%	1

Compiler

Compiled 146 to 114 computations (21.9% saved)

localize137.0ms (2.4%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
✓	99.9%	(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
✓	99.8%	(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.7%	(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))
✓	99.7%	(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	99.4%	(*.f64 1/12 x)

Compiler

Compiled 106 to 82 computations (22.6% saved)

series7.0ms (0.1%)

Counts

7 → 63

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
0.0ms	x	@	inf	(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
0.0ms	x	@	inf	(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))

rewrite185.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1187×	`log1p-expm1-u`
580×	`expm1-udef`
580×	`log1p-udef`
240×	`frac-times`
222×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	181
1	349	177
2	5200	177

Stop Event

1×	node limit

Counts

7 → 219

Calls

Call 1

Inputs
(*.f64 1/12 x)
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (+.f64 1/4 (.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))
(pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(/.f64 1 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 1 (*.f64 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) (neg.f64 x)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (/.f64 1 x)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))
(/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) x)
(/.f64 -1 (*.f64 x (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 -1 (*.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) x))
(/.f64 -1 (neg.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (pow.f64 x -1/2)))
(/.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (/.f64 x (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2)))
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 x) 1) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2)) (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1) x)
(/.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 2)
(pow.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) -1/8)) (+.f64 (+.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) 1/2))
(pow.f64 (+.f64 (/.f64 1 x) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))))) 1)
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 1 x)) 1/2)))
(/.f64 1 (*.f64 (+.f64 (neg.f64 (/.f64 1 x)) 1/2) (neg.f64 x)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)) 1))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) x)
(/.f64 -1 (*.f64 x (+.f64 (neg.f64 (/.f64 1 x)) 1/2)))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 -1 (*.f64 (+.f64 (/.f64 1 x) -1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (+.f64 (neg.f64 (/.f64 1 x)) 1/2) x))
(/.f64 -1 (neg.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 (/.f64 1 x) -1/2) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)))))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (/.f64 1 x) -1/2) (pow.f64 x -1/2)))
(/.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2) (/.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2)))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 (neg.f64 (/.f64 1 x)) 1/2))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 x) 1) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (*.f64 -1 (/.f64 1 x)) (+.f64 (neg.f64 (/.f64 1 x)) 1/2))
(/.f64 (*.f64 (/.f64 1 x) -1) (+.f64 (neg.f64 (/.f64 1 x)) 1/2))
(/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 1) x)
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))) 2)
(pow.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 1 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -1/2 1)))
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -1/2 1))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) (pow.f64 (fma.f64 x -1/2 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -1))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x 3) -1/8))) (-.f64 (+.f64 1 (.f64 (pow.f64 x 2) 1/4)) (.f64 x -1/2)))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (-.f64 1 (*.f64 x -1/2)))
(pow.f64 (fma.f64 x -1/2 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(exp.f64 (.f64 (log1p.f64 (.f64 x -1/2)) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1))))

simplify153.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

572×	`div-sub`
470×	`cube-prod`
450×	`exp-prod`
388×	`fma-def`
378×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	577	10085
1	1426	8924
2	5051	8862

Stop Event

1×	node limit

Counts

282 → 343

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 12 x)
(+.f64 (.f64 12 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (.f64 12 (/.f64 1 x)))))
(/.f64 12 x)
(+.f64 (.f64 12 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (.f64 12 (/.f64 1 x)))))
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 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 2))))))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/4 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 4 (/.f64 1 x)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 4 (/.f64 1 x)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (+.f64 1/4 (.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))
(pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(/.f64 1 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 1 (*.f64 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) (neg.f64 x)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (/.f64 1 x)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))
(/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) x)
(/.f64 -1 (*.f64 x (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 -1 (*.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) x))
(/.f64 -1 (neg.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) (pow.f64 x -1/2)))
(/.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (/.f64 x (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2)))
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 x) 1) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2)) (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1) x)
(/.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 2)
(pow.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) -1/8)) (+.f64 (+.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) 1/2))
(pow.f64 (+.f64 (/.f64 1 x) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))))) 1)
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 1 x)) 1/2)))
(/.f64 1 (*.f64 (+.f64 (neg.f64 (/.f64 1 x)) 1/2) (neg.f64 x)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)) 1))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) x)
(/.f64 -1 (*.f64 x (+.f64 (neg.f64 (/.f64 1 x)) 1/2)))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 -1 (*.f64 (+.f64 (/.f64 1 x) -1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (+.f64 (neg.f64 (/.f64 1 x)) 1/2) x))
(/.f64 -1 (neg.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 (/.f64 1 x) -1/2) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)))))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (/.f64 1 x) -1/2) (pow.f64 x -1/2)))
(/.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2) (/.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1/2) -1/2)))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 (neg.f64 (/.f64 1 x)) 1/2))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 x) 1) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (*.f64 -1 (/.f64 1 x)) (+.f64 (neg.f64 (/.f64 1 x)) 1/2))
(/.f64 (*.f64 (/.f64 1 x) -1) (+.f64 (neg.f64 (/.f64 1 x)) 1/2))
(/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 (/.f64 1 x) -1/2))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 1) x)
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))) 2)
(pow.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) -2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 1 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -1/2 1)))
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -1/2 1))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) (pow.f64 (fma.f64 x -1/2 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -1))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x 3) -1/8))) (-.f64 (+.f64 1 (.f64 (pow.f64 x 2) 1/4)) (.f64 x -1/2)))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (-.f64 1 (*.f64 x -1/2)))
(pow.f64 (fma.f64 x -1/2 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(exp.f64 (.f64 (log1p.f64 (.f64 x -1/2)) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1))))

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

eval236.0ms (4.2%)

Compiler: Compiled 5519 to 4459 computations (19.2% saved)

prune116.0ms (2.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	339	4	343
Fresh	0	1	1
Picked	1	3	4
Done	1	4	5
Total	341	12	353

Accuracy

100.0%

Counts

353 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	56.7%	(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	56.9%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
	6.3%	(/.f64 -2 x)
✓	54.1%	(+.f64 1 (*.f64 1/2 x))
✓	55.2%	(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))
	4.9%	(*.f64 (/.f64 1 x) (+.f64 -2 (/.f64 -4 x)))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	3.7%	(*.f64 1/2 x)
	53.8%	1

Compiler

Compiled 237 to 179 computations (24.5% saved)

regimes21.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 -2 x)
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(*.f64 (/.f64 1 x) (+.f64 -2 (/.f64 -4 x)))
(-.f64 (+.f64 1 (+.f64 1 (*.f64 1/2 x))) 1)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) x)
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))

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

Calls

2 calls:

10.0ms	x
6.0ms	(/.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 155 to 113 computations (27.1% saved)

regimes12.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 -2 x)
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(*.f64 (/.f64 1 x) (+.f64 -2 (/.f64 -4 x)))
(-.f64 (+.f64 1 (+.f64 1 (*.f64 1/2 x))) 1)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1/2)) x)
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 (/.f64 1 x) 1/2)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (/.f64 1 x) -1/2))))
(.f64 (/.f64 1 x) (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)))

Outputs
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
56.9%	1	`x`

Compiler

Compiled 98 to 78 computations (20.4% saved)

regimes10.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 -2 x)
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

Outputs
(/.f64 -2 x)
(+.f64 1 (*.f64 1/2 x))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
57.9%	2	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes9.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 -2 x)
(*.f64 (/.f64 1 x) x)

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
56.8%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -32.4b remaining (-109.4%)

Threshold costs -32.4b (-109.4%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 x)

Outputs
1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.8%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-24.063054337149254	-2.244490558087908e-5

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 119 to 98 computations (17.6% saved)

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-24.063054337149254	-2.244490558087908e-5

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 83 to 71 computations (14.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
4×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	101
1	35	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 37 to 29 computations (21.6% saved)

soundness933.0ms (16.6%)

Rules

1782×	`div-sub`
1494×	`fma-neg`
1308×	`prod-diff`
1308×	`prod-diff`
1068×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	39	88
2	68	86
3	147	80
4	384	80
5	1036	80
6	4095	80
7	7627	80
0	8	17
1	68	17
2	885	17
0	17	108
1	252	96
2	3081	96
0	8	17
1	68	17
2	885	17
0	17	108
1	252	96
2	3081	96
0	550	9274
1	1272	8762
2	5030	8730

Stop Event

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

Compiler

Compiled 122 to 80 computations (34.4% saved)

end0.0ms (0%)

preprocess77.0ms (1.4%)

Compiler: Compiled 126 to 90 computations (28.6% saved)

analyze2.0ms (0%)

sample1.4s (24.2%)

preprocess145.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (0.7%)

series2.0ms (0%)

rewrite180.0ms (3.2%)

simplify84.0ms (1.5%)

eval25.0ms (0.4%)

prune16.0ms (0.3%)

localize629.0ms (11.2%)

series4.0ms (0.1%)

rewrite147.0ms (2.6%)

simplify190.0ms (3.4%)

eval150.0ms (2.7%)

prune63.0ms (1.1%)

localize169.0ms (3%)

series4.0ms (0.1%)

rewrite158.0ms (2.8%)

simplify150.0ms (2.7%)

eval112.0ms (2%)

prune52.0ms (0.9%)

localize137.0ms (2.4%)

series7.0ms (0.1%)

rewrite185.0ms (3.3%)

simplify153.0ms (2.7%)

eval236.0ms (4.2%)

prune116.0ms (2.1%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch16.0ms (0.3%)

simplify4.0ms (0.1%)

soundness933.0ms (16.6%)

end0.0ms (0%)

preprocess77.0ms (1.4%)

Profiling