Metrics for expq2 (section 3.11)

analyze118.0ms (4.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
37.5%	28.2%	47%	24.8%	0%	0%	0%	4
37.5%	28.2%	47%	24.8%	0%	0%	0%	5
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	6
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	7
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	8
43%	32.3%	42.9%	24.8%	0%	0%	0%	9
43%	32.3%	42.9%	24.8%	0%	0%	0%	10
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	11
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (47.4%)

Results

636.0ms	2747×	body	1024	valid
347.0ms	3934×	body	256	valid
213.0ms	1391×	body	512	valid
50.0ms	184×	body	2048	valid

Bogosity

preprocess131.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1244×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
778×	`times-frac`
652×	`distribute-lft-neg-in`

Problems

170×	`(-.f64 (exp.f64 x) 1)`
86×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	47	102
3	70	102
4	138	80
5	444	80
6	2268	80
7	4599	76

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize25.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite178.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`unpow-prod-down`
430×	`log-prod`
420×	`cbrt-prod`
391×	`log1p-expm1-u`
390×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1069	21

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

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

simplify85.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

700×	`times-frac`
650×	`div-sub`
530×	`associate-/l*`
520×	`fma-def`
508×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2383
1	516	2297
2	1390	2253
3	5454	1987

Stop Event

1×	node limit

Counts

76 → 99

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (reciprocal.f64 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (reciprocal.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (reciprocal.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2) (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (reciprocal.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (reciprocal.f64 (expm1.f64 x)) (exp.f64 x))
(*.f64 (reciprocal.f64 (expm1.f64 x)) (pow.f64 (reciprocal.f64 (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) (exp.f64 x)) 1/3) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2)) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) (exp.f64 x))) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(reciprocal.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))))
(reciprocal.f64 (/.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 1))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Outputs
(/.f64 1 x)
(reciprocal.f64 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (reciprocal.f64 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (reciprocal.f64 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (reciprocal.f64 x))))
(+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (reciprocal.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (reciprocal.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (reciprocal.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2) (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (reciprocal.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (reciprocal.f64 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (reciprocal.f64 (expm1.f64 x)) (pow.f64 (reciprocal.f64 (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) (exp.f64 x)) 1/3) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2))) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2)) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (reciprocal.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))))
(.f64 (reciprocal.f64 (pow.f64 (exp.f64 x) -1/2)) (.f64 (reciprocal.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (reciprocal.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) (exp.f64 x))) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2))) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (reciprocal.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) 1/2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 1) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(reciprocal.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(reciprocal.f64 (/.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))

eval33.0ms (1.2%)

Compiler: Compiled 1202 to 545 computations (54.7% saved)

prune26.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	6	100

Accuracy

100.0%

Counts

100 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	67.9%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	67.2%	(+.f64 1/2 (/.f64 1 x))
▶	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	28.4%	(reciprocal.f64 x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	67.9%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	67.2%	(+.f64 1/2 (/.f64 1 x))
▶	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	28.4%	(reciprocal.f64 x)

Compiler

Compiled 128 to 100 computations (21.9% saved)

localize78.0ms (2.9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	39.6%	(reciprocal.f64 x)
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	100.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	99.4%	(*.f64 1/12 x)
✓	100.0%	(+.f64 1/2 (/.f64 1 x))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 59 to 38 computations (35.6% saved)

series11.0ms (0.4%)

Counts

6 → 36

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/12 x)
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	0	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	inf	(*.f64 1/12 x)

rewrite131.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1127×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
362×	`expm1-udef`
362×	`log1p-udef`
144×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	94
1	238	90
2	3418	90

Stop Event

1×	node limit

Counts

6 → 188

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 1/2 (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(reciprocal.f64 x)

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

simplify106.0ms (4%)

Algorithm

1×	egg-herbie

Rules

938×	`cancel-sign-sub-inv`
776×	`associate-+r+`
678×	`fma-neg`
486×	`log-prod`
480×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	5655
1	855	5569
2	3332	5352

Stop Event

1×	node limit

Counts

224 → 236

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 x)
1/2
1/2
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (reciprocal.f64 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (reciprocal.f64 (expm1.f64 x)) -1)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(neg.f64 (reciprocal.f64 (expm1.f64 x)))
(sqrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3))
(reciprocal.f64 (neg.f64 (expm1.f64 x)))
(reciprocal.f64 (*.f64 (expm1.f64 x) -1))
(reciprocal.f64 (/.f64 (*.f64 (expm1.f64 x) -1) 1))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 1/2 (reciprocal.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (reciprocal.f64 x)))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (reciprocal.f64 x))) (/.f64 (pow.f64 x -2) (+.f64 1/2 (reciprocal.f64 x))))
(*.f64 1 (+.f64 1/2 (reciprocal.f64 x)))
(*.f64 (+.f64 1/2 (reciprocal.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 2) (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x))) (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (-.f64 1/4 (pow.f64 x -2)) (reciprocal.f64 (+.f64 1/2 (reciprocal.f64 x))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (reciprocal.f64 x)) (-.f64 1/4 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (reciprocal.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 x -2))) (neg.f64 (+.f64 1/2 (reciprocal.f64 x))))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (reciprocal.f64 x) 1/2))
(pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (reciprocal.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(reciprocal.f64 (/.f64 (+.f64 1/2 (reciprocal.f64 x)) (-.f64 1/4 (pow.f64 x -2))))
(expm1.f64 (log1p.f64 (+.f64 1/2 (reciprocal.f64 x))))
(exp.f64 (log.f64 (+.f64 1/2 (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (reciprocal.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (reciprocal.f64 x))))
(fma.f64 1 (reciprocal.f64 x) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (reciprocal.f64 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 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 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(*.f64 1 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))
(*.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (+.f64 1/4 (.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (-.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2)))))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (reciprocal.f64 (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (-.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (-.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (-.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (.f64 (+.f64 1/2 (.f64 x 1/12)) (+.f64 1/2 (.f64 x 1/12))) (-.f64 (pow.f64 x -2) (.f64 (+.f64 1/2 (.f64 x 1/12)) (reciprocal.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) 1/4) (-.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2))
(/.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 x 1/12)) (+.f64 1/2 (.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (.f64 x 1/12)) (reciprocal.f64 x)))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) 3))
(reciprocal.f64 (/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (-.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8)))
(reciprocal.f64 (/.f64 (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2))))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(fma.f64 1 (fma.f64 x 1/12 (reciprocal.f64 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 1/2)
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (reciprocal.f64 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (reciprocal.f64 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (reciprocal.f64 x))))
(*.f64 1 (fma.f64 x 1/12 (reciprocal.f64 x)))
(*.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) (reciprocal.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (reciprocal.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) (fma.f64 x 1/12 (reciprocal.f64 x)))
(/.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 x 1/12) 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 x 1/12) 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 x 1/12) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (neg.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (reciprocal.f64 x) (.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (exp.f64 (reciprocal.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(reciprocal.f64 (/.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 x 1/12 (neg.f64 (reciprocal.f64 x)))
(fma.f64 1 (reciprocal.f64 x) (*.f64 x 1/12))
(fma.f64 1 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (reciprocal.f64 x)))
(fma.f64 1/12 x (reciprocal.f64 x))
(fma.f64 1/12 x (neg.f64 (reciprocal.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (reciprocal.f64 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (reciprocal.f64 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (reciprocal.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (neg.f64 (reciprocal.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 x))) 1)
(*.f64 -1 (reciprocal.f64 x))
(*.f64 1 (reciprocal.f64 x))
(*.f64 (reciprocal.f64 x) 1)
(*.f64 (reciprocal.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (reciprocal.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(/.f64 -1 x)
(/.f64 1 x)
(/.f64 (pow.f64 x -1/2) (sqrt.f64 x))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x -1)
(pow.f64 (reciprocal.f64 x) 1)
(pow.f64 (reciprocal.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x -1/2) 2)
(pow.f64 (pow.f64 x -3) 1/3)
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (reciprocal.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))))
(cbrt.f64 (pow.f64 x -3))
(expm1.f64 (log1p.f64 (reciprocal.f64 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (reciprocal.f64 x)))

Outputs
(/.f64 1 x)
(reciprocal.f64 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (reciprocal.f64 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
(reciprocal.f64 x)
1/2
1/2
(/.f64 1 x)
(reciprocal.f64 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 x 1/12))
(fma.f64 x 1/12 1/2)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 x 1/12))
(fma.f64 x 1/12 1/2)
(/.f64 1 x)
(reciprocal.f64 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(/.f64 -1 (expm1.f64 x))
(*.f64 -1 (reciprocal.f64 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (reciprocal.f64 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (reciprocal.f64 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(sqrt.f64 (reciprocal.f64 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3))
(/.f64 -1 (expm1.f64 x))
(reciprocal.f64 (neg.f64 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(reciprocal.f64 (*.f64 (expm1.f64 x) -1))
(/.f64 -1 (expm1.f64 x))
(reciprocal.f64 (/.f64 (*.f64 (expm1.f64 x) -1) 1))
(/.f64 -1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(/.f64 -1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(-.f64 1/2 (reciprocal.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (reciprocal.f64 x)))) 1)
(+.f64 1/2 (reciprocal.f64 x))
(-.f64 (/.f64 1/4 (+.f64 1/2 (reciprocal.f64 x))) (/.f64 (pow.f64 x -2) (+.f64 1/2 (reciprocal.f64 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (reciprocal.f64 x)))
(*.f64 1 (+.f64 1/2 (reciprocal.f64 x)))
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 (+.f64 1/2 (reciprocal.f64 x)) 1)
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 2))
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 2) (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))))
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x))) (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x))))
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(*.f64 (-.f64 1/4 (pow.f64 x -2)) (reciprocal.f64 (+.f64 1/2 (reciprocal.f64 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (reciprocal.f64 x)))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 1/2 (reciprocal.f64 x)) (-.f64 1/4 (pow.f64 x -2))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (reciprocal.f64 x)))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (reciprocal.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (reciprocal.f64 (+.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 x -2))) (neg.f64 (+.f64 1/2 (reciprocal.f64 x))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (reciprocal.f64 x)))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1/2 x)))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 (/.f64 1/2 x) (+.f64 1/4 (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (reciprocal.f64 x) 1/2))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (reciprocal.f64 x) -1/2))
(pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 1)
(+.f64 1/2 (reciprocal.f64 x))
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(fma.f64 x 1/12 (reciprocal.f64 x))
(*.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) (reciprocal.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (reciprocal.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)))
(fma.f64 x 1/12 (reciprocal.f64 x))
(/.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) (fma.f64 x 1/12 (reciprocal.f64 x)))
(fma.f64 x 1/12 (reciprocal.f64 x))
(/.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 x 1/12) x)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.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 x 1/12) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.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 x 1/12) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (neg.f64 (pow.f64 x -3))) (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 1/12 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (neg.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (reciprocal.f64 x) (.f64 x 1/12)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) -1/144)) (-.f64 (reciprocal.f64 x) (.f64 x 1/12)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) -1/144)) (+.f64 (reciprocal.f64 x) (.f64 x -1/12)))
(pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 1)
(fma.f64 x 1/12 (reciprocal.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 3)
(fma.f64 x 1/12 (reciprocal.f64 x))
(pow.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/3)
(fma.f64 x 1/12 (reciprocal.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 2)
(fma.f64 x 1/12 (reciprocal.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (exp.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (reciprocal.f64 x)))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (exp.f64 (reciprocal.f64 x))))
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3))
(fma.f64 x 1/12 (reciprocal.f64 x))
(reciprocal.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(reciprocal.f64 (/.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)))
(fma.f64 x 1/12 (reciprocal.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(exp.f64 (log.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (reciprocal.f64 x))) 1))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 x 1/12 (neg.f64 (reciprocal.f64 x)))
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 1 (reciprocal.f64 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 1 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (reciprocal.f64 x)))
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 1/12 x (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 1/12 x (neg.f64 (reciprocal.f64 x)))
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (reciprocal.f64 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (reciprocal.f64 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (reciprocal.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (/.f64 -1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (neg.f64 (reciprocal.f64 x)))
(-.f64 (*.f64 x 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 x))) 1)
(reciprocal.f64 x)
(*.f64 -1 (reciprocal.f64 x))
(neg.f64 (reciprocal.f64 x))
(/.f64 -1 x)
(*.f64 1 (reciprocal.f64 x))
(reciprocal.f64 x)
(*.f64 (reciprocal.f64 x) 1)
(reciprocal.f64 x)
(*.f64 (reciprocal.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (reciprocal.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (reciprocal.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(reciprocal.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1))
(reciprocal.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(pow.f64 (sqrt.f64 x) -2)
(/.f64 -1 x)
(neg.f64 (reciprocal.f64 x))
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 (pow.f64 x -1/2) (sqrt.f64 x))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 (reciprocal.f64 x))
(/.f64 -1 x)
(/.f64 (/.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 (reciprocal.f64 x))
(/.f64 -1 x)
(/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(reciprocal.f64 x)
(pow.f64 x -1)
(reciprocal.f64 x)
(pow.f64 (reciprocal.f64 x) 1)
(reciprocal.f64 x)
(pow.f64 (reciprocal.f64 (cbrt.f64 x)) 3)
(reciprocal.f64 x)
(pow.f64 (pow.f64 x -1/2) 2)
(reciprocal.f64 x)
(pow.f64 (pow.f64 x -3) 1/3)
(cbrt.f64 (pow.f64 x -3))
(sqrt.f64 (pow.f64 x -2))
(reciprocal.f64 x)
(log.f64 (exp.f64 (reciprocal.f64 x)))
(reciprocal.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))))
(reciprocal.f64 x)
(cbrt.f64 (pow.f64 x -3))
(expm1.f64 (log1p.f64 (reciprocal.f64 x)))
(reciprocal.f64 x)
(exp.f64 (neg.f64 (log.f64 x)))
(reciprocal.f64 x)
(exp.f64 (*.f64 (log.f64 x) -1))
(reciprocal.f64 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(reciprocal.f64 x)
(log1p.f64 (expm1.f64 (reciprocal.f64 x)))
(reciprocal.f64 x)

eval109.0ms (4.1%)

Compiler: Compiled 2812 to 1980 computations (29.6% saved)

prune34.0ms (1.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	235	1	236
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	235	7	242

Accuracy

100.0%

Counts

242 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune7.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune9.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2

Compiler

Compiled 75 to 55 computations (26.7% saved)

regimes13.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(reciprocal.f64 x)
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

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

Calls

3 calls:

5.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 51 to 34 computations (33.3% saved)

regimes7.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(reciprocal.f64 x)
(/.f64 -1 (expm1.f64 (neg.f64 x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes9.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.9%	1	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`sub-neg`
2×	`neg-mul-1`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	23	50
2	25	50
3	26	50

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
1/2

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
1/2

Compiler

Compiled 18 to 14 computations (22.2% saved)

soundness236.0ms (8.9%)

Rules

1244×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
778×	`times-frac`
700×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	47	102
3	70	102
4	138	80
5	444	80
6	2268	80
7	4599	76
0	213	2383
1	516	2297
2	1390	2253
3	5454	1987

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 162 to 85 computations (47.5% saved)

end0.0ms (0%)

preprocess39.0ms (1.5%)

Compiler: Compiled 60 to 44 computations (26.7% saved)

analyze118.0ms (4.4%)

sample1.3s (47.4%)

preprocess131.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (1%)

series3.0ms (0.1%)

rewrite178.0ms (6.7%)

simplify85.0ms (3.2%)

eval33.0ms (1.2%)

prune26.0ms (1%)

localize78.0ms (2.9%)

series11.0ms (0.4%)

rewrite131.0ms (4.9%)

simplify106.0ms (4%)

eval109.0ms (4.1%)

prune34.0ms (1.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune7.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune9.0ms (0.3%)

regimes13.0ms (0.5%)

regimes7.0ms (0.3%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness236.0ms (8.9%)

end0.0ms (0%)

preprocess39.0ms (1.5%)

Profiling