Metrics for expq2 (section 3.11)

analyze105.0ms (3.6%)

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)

sample1.3s (43.7%)

Results

646.0ms	2703×	body	1024	valid
371.0ms	3853×	body	256	valid
191.0ms	1417×	body	512	valid
69.0ms	283×	body	2048	valid

Bogosity

preprocess115.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

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

Problems

163×	`(-.f64 (exp.f64 x) 1)`
93×	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)

localize25.0ms (0.8%)

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 (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite101.0ms (3.4%)

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))))

simplify67.0ms (2.3%)

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)))

eval30.0ms (1%)

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

prune19.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	0	0
Picked	0	1	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
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	64.7%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	64.8%	(+.f64 (/.f64 1 x) 1/2)
▶	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	64.7%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	64.8%	(+.f64 (/.f64 1 x) 1/2)
▶	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))

Compiler

Compiled 160 to 128 computations (20% saved)

localize97.0ms (3.3%)

Localize:

Found 8 expressions with local error:

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

Compiler

Compiled 85 to 50 computations (41.2% saved)

series9.0ms (0.3%)

Counts

8 → 69

Calls

24 calls:

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

rewrite108.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log1p-expm1-u`
707×	`expm1-log1p-u`
432×	`expm1-udef`
432×	`log1p-udef`
218×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	151
1	343	131
2	4923	131

Stop Event

1×	node limit

Counts

8 → 230

Calls

Call 1

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

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

simplify102.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

922×	`cancel-sign-sub-inv`
690×	`fma-neg`
618×	`div-sub`
482×	`log-prod`
462×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	7890
1	1026	7218
2	3911	6882

Stop Event

1×	node limit

Counts

299 → 292

Calls

Call 1

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

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

eval88.0ms (3%)

Compiler: Compiled 3943 to 2812 computations (28.7% saved)

prune38.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	291	7	298

Accuracy

100.0%

Counts

298 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.7%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))
	3.3%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.7%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))
	3.3%	1/2

Compiler

Compiled 90 to 72 computations (20% saved)

localize36.0ms (1.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 1 (expm1.f64 x))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))
✓	100.0%	(/.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`unpow-prod-down`
598×	`log-prod`
526×	`log1p-expm1-u`
525×	`expm1-log1p-u`
380×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	162	32
2	2188	32

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))

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

simplify82.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1476×	`fma-neg`
1328×	`fma-def`
780×	`associate-r`
678×	`associate-l`
536×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	537
1	118	437
2	239	433
3	867	423
4	3654	423
5	7968	423

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(/.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)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/6
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
9
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/6
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
9

Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(fma.f64 x (fma.f64 x 1/2 1) 1)
(+.f64 1 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/2 (pow.f64 x 2) 1))
(+.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 x 1/6 1/2) 1))
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(/.f64 1 (exp.f64 (*.f64 -1 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(/.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 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 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 x 1/12 (fma.f64 (pow.f64 x 3) -1/720 (/.f64 1 x))))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (.f64 (exp.f64 (.f64 -1 x)) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 x))) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/6
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
9
-6
-4
-3
-5/2
-2
-3/2
-1
-2/3
-1/2
-1/3
-1/6
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
5
6
9

eval20.0ms (0.7%)

Compiler: Compiled 995 to 631 computations (36.6% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	93	7	100

Accuracy

100.0%

Counts

100 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.7%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))
	3.3%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.7%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))
	3.3%	1/2

Compiler

Compiled 90 to 72 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

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

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.7%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	64.7%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (neg.f64 x))))
	3.3%	1/2

Compiler

Compiled 101 to 72 computations (28.7% saved)

regimes13.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (exp.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 69 to 44 computations (36.2% saved)

regimes12.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(exp.f64 x)
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

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 49 to 33 computations (32.7% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
64.8%	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.7%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% 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
3.3%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	25	82
2	27	82
3	28	82

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness400.0ms (13.6%)

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	9	21
1	85	21
2	1064	21
0	213	2324
1	521	2228
2	1410	2182
3	5570	1916
0	213	2324
1	521	2228
2	1410	2182
3	5570	1916

Stop Event

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

Compiler

Compiled 270 to 152 computations (43.7% saved)

end0.0ms (0%)

preprocess97.0ms (3.3%)

Compiler: Compiled 80 to 60 computations (25% saved)

analyze105.0ms (3.6%)

sample1.3s (43.7%)

preprocess115.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (0.8%)

series2.0ms (0.1%)

rewrite101.0ms (3.4%)

simplify67.0ms (2.3%)

eval30.0ms (1%)

prune19.0ms (0.7%)

localize97.0ms (3.3%)

series9.0ms (0.3%)

rewrite108.0ms (3.7%)

simplify102.0ms (3.4%)

eval88.0ms (3%)

prune38.0ms (1.3%)

localize36.0ms (1.2%)

series1.0ms (0%)

rewrite55.0ms (1.9%)

simplify82.0ms (2.8%)

eval20.0ms (0.7%)

prune15.0ms (0.5%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes13.0ms (0.4%)

regimes12.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness400.0ms (13.6%)

end0.0ms (0%)

preprocess97.0ms (3.3%)

Profiling