Metrics for expq2 (section 3.11)

analyze100.0ms (2.9%)

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
25%	18.8%	56.4%	24.8%	0%	0%	0%	4
31.3%	23.5%	51.7%	24.8%	0%	0%	0%	5
37.5%	28.2%	47%	24.8%	0%	0%	0%	6
39.1%	29.4%	45.8%	24.8%	0%	0%	0%	7
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	8
41.4%	31.1%	44.1%	24.8%	0%	0%	0%	9
41.6%	31.3%	43.9%	24.8%	0%	0%	0%	10
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	11
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (33.8%)

Results

597.0ms	2807×	body	1024	valid
310.0ms	3807×	body	256	valid
184.0ms	1348×	body	512	valid
71.0ms	293×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess101.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
778×	`times-frac`
652×	`distribute-lft-neg-in`

Problems

168×	`(-.f64 (exp.f64 x) 1)`
88×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	30	102
2	43	102
3	65	102
4	132	82
5	436	82
6	2247	82
7	4558	78

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

localize21.0ms (0.6%)

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)

series2.0ms (0%)

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))
0.0ms	x	@	0	(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite100.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1064	21

Stop Event

1×	node limit

Counts

1 → 62

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) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.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 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.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 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.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 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.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 (exp.f64 (neg.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 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(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))))

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Rules

862×	`times-frac`
646×	`div-sub`
548×	`associate-/l*`
522×	`fma-def`
520×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2324
1	521	2228
2	1410	2182
3	5570	1916

Stop Event

1×	node limit

Counts

74 → 103

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

eval21.0ms (0.6%)

Compiler: Compiled 1310 to 616 computations (53% saved)

prune20.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	6	104

Accuracy

100.0%

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	65.7%	(+.f64 (/.f64 1 x) 1/2)
▶	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
▶	65.6%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	65.7%	(+.f64 (/.f64 1 x) 1/2)
▶	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 196 to 156 computations (20.4% saved)

localize133.0ms (3.8%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)
✓	99.5%	(*.f64 -1/720 (pow.f64 x 3))
✓	100.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)
✓	100.0%	(+.f64 (/.f64 1 x) 1/2)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 111 to 79 computations (28.8% saved)

series6.0ms (0.2%)

Counts

9 → 45

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/12 x)
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
0.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/720 (pow.f64 x 3))

rewrite132.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1157×	`log1p-expm1-u`
554×	`expm1-udef`
554×	`log1p-udef`
216×	`associate-r`
157×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	183
1	345	179
2	5140	179

Stop Event

1×	node limit

Counts

9 → 254

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 (/.f64 1 x) 1/2)
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 1/12 x)
(+.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))))

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

simplify120.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

886×	`cancel-sign-sub-inv`
702×	`fma-neg`
648×	`log-prod`
474×	`div-sub`
426×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	10522
1	1035	10254
2	3904	10028

Stop Event

1×	node limit

Counts

299 → 264

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)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.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 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (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 (/.f64 1 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (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 (/.f64 1 (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 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (/.f64 1 (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))
(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 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1 x) 1/2))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 -1 x) -1/2)) (/.f64 1/4 (+.f64 (/.f64 -1 x) -1/2)))
(*.f64 1 (+.f64 (/.f64 -1 x) 1/2))
(*.f64 (+.f64 (/.f64 -1 x) 1/2) 1)
(*.f64 (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)) (cbrt.f64 (+.f64 (/.f64 -1 x) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) 1/2)) (sqrt.f64 (+.f64 (/.f64 -1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (/.f64 -1 x) -1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 -1 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(/.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) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 -1 x) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (/.f64 -1 x) -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 1/2 (/.f64 -1 x)))
(pow.f64 (+.f64 (/.f64 -1 x) 1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1 x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) 1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 x) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -1 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 x) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 x) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 x) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 x) 1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 x) 1/2)))
(fma.f64 1 (/.f64 -1 x) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (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 (*.f64 x 1/12) (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.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 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 (/.f64 -1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (fma.f64 x 1/12 (/.f64 -1 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 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.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 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 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 -1 x) (.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (exp.f64 (/.f64 -1 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 x 1/12 (neg.f64 (/.f64 -1 x)))
(fma.f64 1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 1 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 1/12 x (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 1 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 2)) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (/.f64 1 (+.f64 1/4 (.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)))))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (/.f64 1 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2))) (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 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)) (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) 1/4) (-.f64 (fma.f64 x 1/12 (/.f64 -1 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)) (/.f64 -1 x)))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/720))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(-.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 (*.f64 x 1/12) (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.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 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 (/.f64 -1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (fma.f64 x 1/12 (/.f64 -1 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 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.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 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 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 -1 x) (.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (exp.f64 (/.f64 -1 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 x 1/12 (neg.f64 (/.f64 -1 x)))
(fma.f64 1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 1 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 1/12 x (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2) (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(*.f64 1 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))) (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 2)) (cbrt.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/8) (/.f64 1 (+.f64 1/4 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 1/2)))))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2)) (/.f64 1 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 1/2))) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/8) (+.f64 1/4 (*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 1/2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/8) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2)) (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/8)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 1/2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2))) (neg.f64 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))) 3) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))) (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (.f64 (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))) (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2) 1/4) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 1/2))
(/.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (-.f64 (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))) (fma.f64 x 1/12 (/.f64 -1 x))))
(pow.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))))))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x))) 2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 -1 x)))) 1/2)

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

eval134.0ms (3.8%)

Compiler: Compiled 6008 to 4805 computations (20% saved)

prune44.0ms (1.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	335	2	337
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	335	8	343

Accuracy

100.0%

Counts

343 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	65.7%	(+.f64 (/.f64 1 x) 1/2)
✓	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	3.3%	(+.f64 1/2 (*.f64 x 1/12))
▶	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
	3.5%	1/2
✓	65.6%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	65.7%	(+.f64 (/.f64 1 x) 1/2)
✓	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	3.3%	(+.f64 1/2 (*.f64 x 1/12))
▶	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
	3.5%	1/2

Compiler

Compiled 114 to 92 computations (19.3% saved)

localize37.0ms (1.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 x 1/12)
✓	100.0%	(log.f64 (expm1.f64 x))
✓	99.9%	(-.f64 x (log.f64 (expm1.f64 x)))
✓	96.6%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series46.0ms (1.3%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f64 (expm1.f64 x))
15.0ms	x	@	-inf	(log.f64 (expm1.f64 x))
4.0ms	x	@	inf	(-.f64 x (log.f64 (expm1.f64 x)))
3.0ms	x	@	-inf	(-.f64 x (log.f64 (expm1.f64 x)))
1.0ms	x	@	0	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

rewrite323.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`unpow-prod-down`
718×	`prod-diff`
616×	`log-prod`
611×	`log1p-expm1-u`
610×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	130	64
2	1636	64

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

Inputs
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(*.f64 x 1/12)

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 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x)))))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1)))
(*.f64 (exp.f64 x) (pow.f64 (/.f64 1 (expm1.f64 x)) 1))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 1))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.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 (exp.f64 x) (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3)) 1/3))
(.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 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 x 3) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2)))))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 x 2) (+.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) (+.f64 x (log.f64 (expm1.f64 x))))))
(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 (exp.f64 x) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.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 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (*.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 1))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2))) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) 1) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) 1) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))
(+.f64 x (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) 0)
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 -1 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 x))))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (expm1.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (expm1.f64 x)) (cbrt.f64 (log.f64 (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 x))) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.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 2) 1/144) 1/2)
(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))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/12)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/12))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/12))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))

simplify124.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1412×	`fma-neg`
1172×	`log-prod`
964×	`exp-prod`
698×	`associate-r`
616×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	572	10536
1	1380	9116
2	5302	8632

Stop Event

1×	node limit

Counts

290 → 356

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (log.f64 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(*.f64 -1 (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (.f64 1/2 x))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 4)) (.f64 1/2 x))))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 x) (+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.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 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x)))))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1)))
(*.f64 (exp.f64 x) (pow.f64 (/.f64 1 (expm1.f64 x)) 1))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 1))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.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 (exp.f64 x) (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3)) 1/3))
(.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 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 x 3) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2)))))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 x 2) (+.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) (+.f64 x (log.f64 (expm1.f64 x))))))
(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 (exp.f64 x) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.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 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (*.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 1))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2))) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) 1) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) 1) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))
(+.f64 x (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) 0)
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 -1 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (neg.f64 (log.f64 (expm1.f64 x))) x)
(+.f64 0 (-.f64 x (log.f64 (expm1.f64 x))))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))) (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))))
(+.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) (.f64 2 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))))
(+.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))))
(*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(*.f64 (-.f64 x (log.f64 (expm1.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
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(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 x))) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.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 2) 1/144) 1/2)
(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))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/12)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/12))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/12))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))

Outputs
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 (.f64 x 1/2) (exp.f64 (neg.f64 (log.f64 x)))))
(fma.f64 1/2 (/.f64 x x) (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (fma.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 2)) (.f64 (*.f64 x 1/2) (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (+.f64 (.f64 x 1/2) (*.f64 1/12 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (log.f64 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 4)) (fma.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 2)) (.f64 (.f64 x 1/2) (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 (.f64 (/.f64 1 x) (+.f64 (.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))) (fma.f64 1/2 (/.f64 x x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 1/2)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (.f64 1/2 x))
(fma.f64 -1 (log.f64 x) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (log.f64 x) (fma.f64 -1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(-.f64 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) -1/24)) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 4)) (.f64 1/2 x))))
(fma.f64 -1 (log.f64 x) (fma.f64 -1/24 (pow.f64 x 2) (fma.f64 1/2880 (pow.f64 x 4) (*.f64 x 1/2))))
(-.f64 (fma.f64 (pow.f64 x 2) -1/24 (fma.f64 x 1/2 (*.f64 (pow.f64 x 4) 1/2880))) (log.f64 x))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (/.f64 1 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (/.f64 1 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (/.f64 1 (expm1.f64 x)))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (/.f64 1 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (/.f64 1 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (/.f64 1 (expm1.f64 x)))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 x))
(+.f64 (log.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 x) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 2) 1/24 (*.f64 x 1/2)))
(+.f64 (log.f64 x) (+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 x) (fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 4) -1/2880 (fma.f64 (pow.f64 x 2) 1/24 (*.f64 x 1/2))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.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 (*.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 (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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (log.f64 (exp.f64 1)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 x)))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (E.f64) (.f64 (log.f64 (expm1.f64 x)) 0)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 x)))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (E.f64) (.f64 (log.f64 (expm1.f64 x)) 0)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 x)))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (pow.f64 (E.f64) (.f64 (log.f64 (expm1.f64 x)) 0)))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (/.f64 1 (expm1.f64 x)) 1))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 1))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))))
(.f64 (pow.f64 (E.f64) (.f64 2/3 (-.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))))
(.f64 (pow.f64 (E.f64) (.f64 (-.f64 x (log.f64 (expm1.f64 x))) 2/3)) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x))))))
(.f64 (pow.f64 (E.f64) (.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))) 2/3)) (pow.f64 (exp.f64 1/3) (log1p.f64 (/.f64 1 (expm1.f64 x)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x))))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.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))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))))
(.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 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
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(*.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(*.f64 (log.f64 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(log.f64 (expm1.f64 x))
(*.f64 1 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(*.f64 3 (log.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(*.f64 1/3 (log.f64 (pow.f64 (expm1.f64 x) 3)))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 3))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (expm1.f64 x)) (cbrt.f64 (log.f64 (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (expm1.f64 x)) (cbrt.f64 (log.f64 (expm1.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 5/2)))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(log.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(fabs.f64 (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(log.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(log.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(fabs.f64 (log.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(log.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(log.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 x))) 1) 1))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(log.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 x))) 3) 1/3))
(log.f64 (expm1.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (expm1.f64 x)))) 1/3))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(log.f64 (expm1.f64 x))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(log1p.f64 (+.f64 (expm1.f64 x) -1))
(log.f64 (+.f64 (expm1.f64 x) 0))
(+.f64 0 (*.f64 x 1/12))
(*.f64 x 1/12)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 2 (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) 1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(*.f64 x 1/12)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(*.f64 x 1/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/12)) 1) 1))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/12))) 3))
(*.f64 x 1/12)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/12))) 1/3))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/12))) 2))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)

eval123.0ms (3.5%)

Compiler: Compiled 5320 to 2318 computations (56.4% saved)

prune68.0ms (2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	1	1
Picked	0	2	2
Done	0	5	5
Total	355	9	364

Accuracy

100.0%

Counts

364 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	65.7%	(+.f64 (/.f64 1 x) 1/2)
✓	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	3.3%	(+.f64 1/2 (*.f64 x 1/12))
✓	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
▶	36.0%	(exp.f64 x)
	3.5%	1/2
✓	65.6%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	65.7%	(+.f64 (/.f64 1 x) 1/2)
✓	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	3.3%	(+.f64 1/2 (*.f64 x 1/12))
✓	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
▶	36.0%	(exp.f64 x)
	3.5%	1/2

Compiler

Compiled 120 to 96 computations (20% saved)

localize14.0ms (0.4%)

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

eval0.0ms (0%)

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

prune7.0ms (0.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	7	7
Total	9	9

Accuracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	65.7%	(+.f64 (/.f64 1 x) 1/2)
✓	66.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	66.1%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	3.3%	(+.f64 1/2 (*.f64 x 1/12))
✓	34.9%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓	36.0%	(exp.f64 x)
	3.5%	1/2

Compiler

Compiled 124 to 92 computations (25.8% saved)

regimes14.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(exp.f64 x)
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

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

Calls

3 calls:

6.0ms	x
3.0ms	(/.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 77 to 52 computations (32.5% saved)

regimes15.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(exp.f64 x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

2 calls:

10.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.0%	2	`x`
99.0%	2	`(exp.f64 x)`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.2%	1	`x`

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes6.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
65.7%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% 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
3.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.988352747814289e-23

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
1	32	131
2	34	131
3	35	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)
1/2

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
1/2

Compiler

Compiled 45 to 35 computations (22.2% saved)

soundness448.0ms (12.9%)

Rules

1248×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
862×	`times-frac`
862×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	30	102
2	43	102
3	65	102
4	132	82
5	436	82
6	2247	82
7	4558	78
0	213	2324
1	521	2228
2	1410	2182
3	5570	1916
0	213	2324
1	521	2228
2	1410	2182
3	5570	1916
0	9	21
1	85	21
2	1064	21

Stop Event

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

Compiler

Compiled 192 to 103 computations (46.4% saved)

end0.0ms (0%)

preprocess54.0ms (1.6%)

Compiler: Compiled 110 to 82 computations (25.5% saved)

analyze100.0ms (2.9%)

sample1.2s (33.8%)

preprocess101.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize21.0ms (0.6%)

series2.0ms (0%)

rewrite100.0ms (2.9%)

simplify70.0ms (2%)

eval21.0ms (0.6%)

prune20.0ms (0.6%)

localize133.0ms (3.8%)

series6.0ms (0.2%)

rewrite132.0ms (3.8%)

simplify120.0ms (3.4%)

eval134.0ms (3.8%)

prune44.0ms (1.3%)

localize37.0ms (1.1%)

series46.0ms (1.3%)

rewrite323.0ms (9.3%)

simplify124.0ms (3.6%)

eval123.0ms (3.5%)

prune68.0ms (2%)

localize14.0ms (0.4%)

eval0.0ms (0%)

prune7.0ms (0.2%)

regimes14.0ms (0.4%)

regimes15.0ms (0.4%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

soundness448.0ms (12.9%)

end0.0ms (0%)

preprocess54.0ms (1.6%)

Profiling