Metrics for expq2 (section 3.11)

analyze104.0ms (3.5%)

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)

sample1.6s (55.8%)

Results

810.0ms	3921×	body	256	valid
579.0ms	2757×	body	1024	valid
174.0ms	1287×	body	512	valid
67.0ms	289×	body	2048	valid
0.0ms	2×	body	2048	infinite

Bogosity

preprocess91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-/r*`
1100×	`distribute-lft-in`
1078×	`fma-def`
1070×	`associate-/l*`
1036×	`distribute-rgt-in`

Problems

180×	`(-.f64 (exp.f64 x) 1)`
76×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	25	71
2	33	71
3	44	71
4	79	64
5	223	62
6	1176	62
7	4954	60

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))

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

localize20.0ms (0.7%)

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))

rewrite92.0ms (3.1%)

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))))

simplify68.0ms (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)))

eval25.0ms (0.8%)

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

prune17.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	5	104

Accuracy

100.0%

Counts

104 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	70.3%	(+.f64 (/.f64 1 x) 1/2)
▶	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
▶	69.9%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	70.3%	(+.f64 (/.f64 1 x) 1/2)
▶	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

Compiler

Compiled 136 to 112 computations (17.6% saved)

localize99.0ms (3.3%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(expm1.f64 (neg.f64 x))
✓	99.9%	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
✓	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.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%	(expm1.f64 (neg.f64 x))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 80 to 44 computations (45% saved)

series11.0ms (0.4%)

Counts

9 → 81

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
2.0ms	x	@	inf	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
1.0ms	x	@	inf	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
1.0ms	x	@	-inf	(*.f64 1/12 x)
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))

rewrite105.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`log1p-expm1-u`
769×	`expm1-log1p-u`
386×	`expm1-udef`
386×	`log1p-udef`
182×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	156
1	298	132
2	4087	132

Stop Event

1×	node limit

Counts

9 → 286

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(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)))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
(expm1.f64 (neg.f64 x))

Outputs
(-.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 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (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 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (-.f64 0 (exp.f64 x)) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) -1)
(/.f64 (expm1.f64 x) 1)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 -1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 0 (pow.f64 (expm1.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 0 (expm1.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 0 (pow.f64 (expm1.f64 x) 2)) (expm1.f64 x))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(log1p.f64 (expm1.f64 (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 (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))) (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 (.f64 (pow.f64 x 3) 1/1728) (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 (*.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 (pow.f64 x 2) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.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)))) (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 (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 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(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 (pow.f64 (expm1.f64 x) -3))) 1)
(*.f64 -1 (pow.f64 (expm1.f64 x) -3))
(*.f64 1 (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3) (pow.f64 (cbrt.f64 (expm1.f64 x)) -3))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -3) (pow.f64 (sqrt.f64 (expm1.f64 x)) -3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (/.f64 -1 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (/.f64 -1 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (expm1.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 x) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (*.f64 -3 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 x) -3)))
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (-.f64 0 (exp.f64 x)) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) -1)
(/.f64 (expm1.f64 x) 1)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 -1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 0 (pow.f64 (expm1.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 0 (expm1.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 0 (pow.f64 (expm1.f64 x) 2)) (expm1.f64 x))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(log1p.f64 (expm1.f64 (expm1.f64 x)))

simplify120.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1190×	`unswap-sqr`
730×	`cancel-sign-sub-inv`
524×	`fma-neg`
478×	`log-prod`
464×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	8737
1	1190	8455
2	4243	8339

Stop Event

1×	node limit

Counts

367 → 327

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

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

eval118.0ms (4%)

Compiler: Compiled 4946 to 3713 computations (24.9% saved)

prune51.0ms (1.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	385	1	386
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	385	6	391

Accuracy

100.0%

Counts

391 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	70.3%	(+.f64 (/.f64 1 x) 1/2)
✓	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.2%	1/2
✓	69.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	70.3%	(+.f64 (/.f64 1 x) 1/2)
✓	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.2%	1/2

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	70.3%	(+.f64 (/.f64 1 x) 1/2)
✓	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.2%	1/2
✓	69.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	70.3%	(+.f64 (/.f64 1 x) 1/2)
✓	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.2%	1/2

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize0.0ms (0%)

eval1.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	70.3%	(+.f64 (/.f64 1 x) 1/2)
✓	70.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	54.5%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.2%	1/2

Compiler

Compiled 79 to 59 computations (25.3% saved)

regimes11.0ms (0.4%)

Counts

8 → 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))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 56 to 37 computations (33.9% 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 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.5%	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% 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
69.9%	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
3.2%	1	`x`

Compiler

Compiled 4 to 3 computations (25% 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	18	76
1	26	76
2	28	76
3	29	76

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 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)))
(+.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 28 to 23 computations (17.9% saved)

soundness290.0ms (9.8%)

Rules

1174×	`associate-/r*`
1100×	`distribute-lft-in`
1078×	`fma-def`
1070×	`associate-/l*`
1036×	`distribute-rgt-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	25	71
2	33	71
3	44	71
4	79	64
5	223	62
6	1176	62
7	4954	60
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

Compiler

Compiled 173 to 94 computations (45.7% saved)

end0.0ms (0%)

preprocess48.0ms (1.6%)

Compiler: Compiled 78 to 60 computations (23.1% saved)

analyze104.0ms (3.5%)

sample1.6s (55.8%)

preprocess91.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.7%)

series2.0ms (0.1%)

rewrite92.0ms (3.1%)

simplify68.0ms (2.3%)

eval25.0ms (0.8%)

prune17.0ms (0.6%)

localize99.0ms (3.3%)

series11.0ms (0.4%)

rewrite105.0ms (3.6%)

simplify120.0ms (4.1%)

eval118.0ms (4%)

prune51.0ms (1.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize0.0ms (0%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness290.0ms (9.8%)

end0.0ms (0%)

preprocess48.0ms (1.6%)

Profiling