Metrics for expq2 (section 3.11)

analyze130.0ms (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-exp, time spent: 16.0ms, 29.0% of total-time

Operation ival->, time spent: 15.0ms, 27.0% of total-time

Operation ival-sub, time spent: 13.0ms, 24.0% of total-time

Operation ival-div, time spent: 7.0ms, 13.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

sample1.7s (41.5%)

Results

612.0ms	3972×	256	valid
702.0ms	2770×	1024	valid
213.0ms	1342×	512	valid
62.0ms	170×	2048	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	infinite

Precisions

Click to see histograms. Total time spent on operations: 690.0ms

Operation ival-exp, time spent: 384.0ms, 56.0% of total-time

Operation ival-sub, time spent: 102.0ms, 15.0% of total-time

Operation ival-div, time spent: 97.0ms, 14.0% of total-time

Operation ival->, time spent: 83.0ms, 12.0% of total-time

Operation const, time spent: 24.0ms, 3.0% of total-time

Bogosity

preprocess190.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1256×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
778×	`times-frac`
652×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
169	-	-	`(-.f64 (exp.f64 x) 1)`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0	-	-	`1`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	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 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

Operation ival-exp, time spent: 25.0ms, 53.0% of total-time

Operation ival-sub, time spent: 11.0ms, 23.0% of total-time

Operation ival-div, time spent: 9.0ms, 19.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

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))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize26.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-div, time spent: 2.0ms, 31.0% of total-time

Operation ival-expm1, time spent: 2.0ms, 31.0% of total-time

Operation ival-exp, time spent: 2.0ms, 31.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite177.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1067	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 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (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 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.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 (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 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (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))))

simplify84.0ms (2%)

Algorithm

1×	egg-herbie

Rules

862×	`times-frac`
636×	`div-sub`
548×	`associate-/l*`
518×	`fma-def`
518×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957

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

eval27.0ms (0.7%)

Compiler: Compiled 1310 to 613 computations (53.2% saved)

prune16.0ms (0.4%)

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 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	67.1%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	67.1%	(+.f64 (/.f64 1 x) 1/2)
▶	67.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 82 to 62 computations (24.4% saved)

localize520.0ms (12.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
✓	100.0%	(sqrt.f64 (exp.f64 x))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.6%	(*.f64 1/12 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	100.0%	(expm1.f64 (neg.f64 x))

Compiler

Compiled 86 to 47 computations (45.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 383.0ms

Operation ival-pow, time spent: 249.0ms, 65.0% of total-time

Operation ival-div, time spent: 63.0ms, 16.0% of total-time

Operation ival-add, time spent: 17.0ms, 4.0% of total-time

Operation ival-expm1, time spent: 13.0ms, 3.0% of total-time

Operation ival-mult, time spent: 13.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 3.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Operation ival-exp, time spent: 5.0ms, 1.0% of total-time

Operation ival-neg, time spent: 4.0ms, 1.0% of total-time

series9.0ms (0.2%)

Counts

6 → 43

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	0	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))

rewrite119.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`prod-diff`
977×	`log1p-expm1-u`
462×	`expm1-log1p-u`
340×	`expm1-udef`
340×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	253	90
2	3425	90

Stop Event

1×	node limit

Counts

6 → 162

Calls

Call 1

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

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

simplify99.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1820×	`fma-def`
586×	`exp-prod`
540×	`cancel-sign-sub-inv`
524×	`cube-prod`
420×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	4741
1	846	4651
2	3559	4508

Stop Event

1×	node limit

Counts

205 → 246

Calls

Call 1

Inputs
(*.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 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 1 x)
(+.f64 (*.f64 -1/24 x) (/.f64 1 x))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 -31/967680 (pow.f64 x 5)) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (expm1.f64 (.f64 1/2 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(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)
(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)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 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 1/12) x))
(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 (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 x -3) (.f64 (pow.f64 x 3) 1/1728)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (+.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/1728))))
(/.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 x -3) (.f64 (pow.f64 x 3) 1/1728)) (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/1728)) (+.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 x -3) (.f64 (pow.f64 x 3) 1/1728))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (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 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 -1 x) (.f64 x 1/12)))
(pow.f64 (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)
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(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 1/12) x) (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 1/12 x (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 -1 x)))
(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 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.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))
(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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (.f64 1/2 x) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(.f64 (pow.f64 (exp.f64 x) 1/4) (.f64 (pow.f64 (exp.f64 x) 1/4) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) 1) (/.f64 (pow.f64 (exp.f64 x) 1/4) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 2)
(pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(exp.f64 (-.f64 (*.f64 1/2 x) (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (-.f64 (.f64 1/2 x) (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))

Outputs
(*.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 -1/6 (pow.f64 x 3))) x)
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 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 -1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) x)
(-.f64 (fma.f64 1/2 (pow.f64 x 2) (fma.f64 -1/6 (pow.f64 x 3) (*.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 (*.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 1/2 (fma.f64 (pow.f64 x 3) -1/720 (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)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 1 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 (pow.f64 x 2) 1/8 (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 1 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 (pow.f64 x 2) 1/8 (fma.f64 x 1/2 1)))
(/.f64 1 x)
(+.f64 (*.f64 -1/24 x) (/.f64 1 x))
(fma.f64 -1/24 x (/.f64 1 x))
(fma.f64 x -1/24 (/.f64 1 x))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/24 (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) 7/5760 (fma.f64 x -1/24 (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 -31/967680 (pow.f64 x 5)) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 -1/24 x (fma.f64 -31/967680 (pow.f64 x 5) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x -1/24 (fma.f64 -31/967680 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 7/5760 (/.f64 1 x))))
(fma.f64 -31/967680 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 7/5760 (fma.f64 x -1/24 (/.f64 1 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (expm1.f64 (.f64 1/2 x)))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (exp.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)
(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)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 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 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 2)))
(sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3))
(/.f64 -1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(/.f64 -1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(*.f64 x 1/12)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(-.f64 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(fma.f64 x 1/12 (/.f64 -1 x))
(-.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 (*.f64 (pow.f64 x 2) (/.f64 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)))
(fma.f64 x 1/12 (/.f64 -1 x))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(fma.f64 x 1/12 (/.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(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))))
(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))))
(fma.f64 x 1/12 (/.f64 -1 x))
(.f64 (+.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/1728)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(fma.f64 x 1/12 (/.f64 -1 x))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x)) (+.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/1728))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(fma.f64 x 1/12 (/.f64 -1 x))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (fma.f64 x 1/12 (/.f64 -1 x)))
(fma.f64 x 1/12 (/.f64 -1 x))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/1728)) (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/1728)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/1728))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 x x) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(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 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 x (/.f64 x 1/12))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (.f64 (/.f64 x x) 1/12)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 1/12 (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 -1 x) (.f64 x 1/12)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) -1/144)) (+.f64 (/.f64 -1 x) (.f64 x -1/12)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 -1 x)))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 3)
(fma.f64 x 1/12 (/.f64 -1 x))
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3) 1/3)
(fma.f64 x 1/12 (/.f64 -1 x))
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)
(fma.f64 x 1/12 (/.f64 -1 x))
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(fma.f64 x 1/12 (/.f64 -1 x))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))
(fma.f64 x 1/12 (/.f64 -1 x))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(fma.f64 x 1/12 (/.f64 -1 x))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/12) x) (exp.f64 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))
(fma.f64 x 1/12 (/.f64 -1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1))
(fma.f64 x 1/12 (/.f64 -1 x))
(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 (/.f64 -1 x))
(fma.f64 x 1/12 (neg.f64 (/.f64 -1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 -1 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 -1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (/.f64 -1 x) (*.f64 x 1/12))
(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))
(fma.f64 x 1/12 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 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))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(sqrt.f64 (exp.f64 x))
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(sqrt.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) 1/2)
(sqrt.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(sqrt.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(sqrt.f64 (exp.f64 x))
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 x 1/2))
(sqrt.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 1/2 x) 1))
(sqrt.f64 (exp.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 1)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))))
(.f64 (pow.f64 (exp.f64 x) 1/4) (.f64 (pow.f64 (exp.f64 x) 1/4) (/.f64 1 (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (/.f64 -1 (expm1.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) 1) (/.f64 (pow.f64 (exp.f64 x) 1/4) (expm1.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 3)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) 1/3)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 2)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(neg.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(exp.f64 (-.f64 (*.f64 1/2 x) (log.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(exp.f64 (.f64 (-.f64 (.f64 1/2 x) (log.f64 (expm1.f64 x))) 1))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))

eval70.0ms (1.7%)

Compiler: Compiled 3313 to 2155 computations (35% saved)

prune32.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	246	6	252

Accuracy

100.0%

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.1%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.1%	(+.f64 (/.f64 1 x) 1/2)
✓	67.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 45 to 35 computations (22.2% saved)

localize391.0ms (9.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x))

Compiler

Compiled 39 to 24 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

Operation ival-pow, time spent: 261.0ms, 79.0% of total-time

Operation ival-mult, time spent: 22.0ms, 7.0% of total-time

Operation ival-div, time spent: 20.0ms, 6.0% of total-time

Operation ival-exp, time spent: 18.0ms, 5.0% of total-time

Operation ival-expm1, time spent: 5.0ms, 2.0% of total-time

Operation const, time spent: 4.0ms, 1.0% of total-time

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x))
1.0ms	x	@	inf	(/.f64 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x))

rewrite76.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`unpow-prod-down`
546×	`log-prod`
475×	`log1p-expm1-u`
474×	`expm1-log1p-u`
449×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	107	25
2	1314	25

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

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

simplify87.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def`
658×	`unswap-sqr`
654×	`sqr-pow`
484×	`*-commutative`
412×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	2706
1	555	2622
2	1593	2487
3	5053	2447

Stop Event

1×	node limit

Counts

74 → 107

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/24 x) (/.f64 1 x))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 -31/967680 (pow.f64 x 5)) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (exp.f64 x) 1/6) (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(.f64 (exp.f64 (.f64 x 1/4)) (.f64 (exp.f64 (.f64 x 1/4)) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) 1) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 1/6) (sqrt.f64 (expm1.f64 x))))
(.f64 (/.f64 (exp.f64 (.f64 x 1/4)) 1) (/.f64 (exp.f64 (*.f64 x 1/4)) (expm1.f64 x)))
(.f64 (/.f64 (exp.f64 (.f64 x 1/4)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 (*.f64 x 1/4)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)) (sqrt.f64 (exp.f64 x))) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (expm1.f64 x) (pow.f64 (exp.f64 x) 1/6)) -1))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/4) -1) (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (.f64 x 1/4))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/6)) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (exp.f64 (.f64 x 1/4))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 (*.f64 x 1/4))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/6)) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 (.f64 x 1/4))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 (*.f64 x 1/4))) -1))
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 3)
(pow.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 2)
(pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(exp.f64 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (.f64 (-.f64 (.f64 1/4 x) (log.f64 (sqrt.f64 (expm1.f64 x)))) 2))
(exp.f64 (.f64 (-.f64 (log.f64 (expm1.f64 x)) (.f64 x 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/24 x) (/.f64 1 x))
(fma.f64 -1/24 x (/.f64 1 x))
(fma.f64 x -1/24 (/.f64 1 x))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/24 x (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/24 (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 -31/967680 (pow.f64 x 5)) (+.f64 (*.f64 7/5760 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 -1/24 x (fma.f64 -31/967680 (pow.f64 x 5) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x -1/24 (fma.f64 -31/967680 (pow.f64 x 5) (fma.f64 7/5760 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x -1/24 (fma.f64 7/5760 (pow.f64 x 3) (fma.f64 -31/967680 (pow.f64 x 5) (/.f64 1 x))))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (exp.f64 (*.f64 1/2 x)) (-.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(+.f64 0 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 1)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (log.f64 (E.f64)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (exp.f64 x) 1/6) (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) 1/6) 1) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(.f64 (exp.f64 (.f64 x 1/4)) (.f64 (exp.f64 (.f64 x 1/4)) (/.f64 1 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) 1) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) 1/6) 1) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 1/6) (sqrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) 1/6) 1) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(.f64 (/.f64 (exp.f64 (.f64 x 1/4)) 1) (/.f64 (exp.f64 (*.f64 x 1/4)) (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(.f64 (/.f64 (exp.f64 (.f64 x 1/4)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 (*.f64 x 1/4)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 3))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3)) 1/3))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)) (sqrt.f64 (exp.f64 x))) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (*.f64 (pow.f64 (expm1.f64 x) -2) (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (expm1.f64 x) -2)))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) -2) (pow.f64 (sqrt.f64 (exp.f64 x)) 3))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) -2) (pow.f64 (exp.f64 x) 3/2))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) (cbrt.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 1) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (expm1.f64 x) (pow.f64 (exp.f64 x) 1/6)) -1))
(.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) 1/6) 1) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/4) -1) (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (.f64 x 1/4))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/4)) (/.f64 1 (/.f64 (expm1.f64 x) (pow.f64 (exp.f64 x) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/4)) (/.f64 (pow.f64 (exp.f64 x) 1/4) (expm1.f64 x)))
(/.f64 (/.f64 (pow.f64 (exp.f64 1/4) x) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/4))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/6)) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 x)))) (/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/6))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (exp.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (pow.f64 (exp.f64 x) 1/6)))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2)) (/.f64 (pow.f64 (exp.f64 x) 1/6) (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (exp.f64 (.f64 x 1/4))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 (*.f64 x 1/4))) -1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/6)) -1))
(.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) 1/6) 1) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 1/6) (expm1.f64 x)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 (.f64 x 1/4))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 (*.f64 x 1/4))) -1))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/4)) -2)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 1/4) x)) -2)
(*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (expm1.f64 x)) -2))
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 3)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)) 1/2)
(sqrt.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)))
(fabs.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) 1/3)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 2)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (E.f64) (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)) 1/3)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) 1) -1)
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(sqrt.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2)))
(fabs.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(exp.f64 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x)))) 3))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(exp.f64 (.f64 (.f64 3 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(exp.f64 (.f64 (-.f64 (.f64 1/4 x) (log.f64 (sqrt.f64 (expm1.f64 x)))) 2))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 x) 1/4)) -2)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (exp.f64 1/4) x)) -2)
(*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (expm1.f64 x)) -2))
(exp.f64 (.f64 (-.f64 (log.f64 (expm1.f64 x)) (.f64 x 1/2)) -1))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(/.f64 (pow.f64 (exp.f64 1/2) x) (expm1.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (expm1.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))

eval32.0ms (0.8%)

Compiler: Compiled 2001 to 978 computations (51.1% saved)

prune27.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	107	6	113

Accuracy

100.0%

Counts

113 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.1%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.1%	(+.f64 (/.f64 1 x) 1/2)
✓	67.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 103 to 71 computations (31.1% saved)

regimes12.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.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 (exp.f64 (*.f64 x 1/2)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.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 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.7b remaining (-3.5%)

Threshold costs -0.7b (-3.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
67.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	19	28
2	21	28
3	22	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

soundness229.0ms (5.6%)

Rules

1256×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
862×	`times-frac`
778×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 162 to 85 computations (47.5% saved)

end0.0ms (0%)

preprocess34.0ms (0.8%)

Compiler: Compiled 48 to 36 computations (25% saved)

analyze130.0ms (3.2%)

sample1.7s (41.5%)

preprocess190.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (0.6%)

series2.0ms (0%)

rewrite177.0ms (4.3%)

simplify84.0ms (2%)

eval27.0ms (0.7%)

prune16.0ms (0.4%)

localize520.0ms (12.7%)

series9.0ms (0.2%)

rewrite119.0ms (2.9%)

simplify99.0ms (2.4%)

eval70.0ms (1.7%)

prune32.0ms (0.8%)

localize391.0ms (9.5%)

series3.0ms (0.1%)

rewrite76.0ms (1.9%)

simplify87.0ms (2.1%)

eval32.0ms (0.8%)

prune27.0ms (0.7%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

simplify3.0ms (0.1%)

soundness229.0ms (5.6%)

end0.0ms (0%)

preprocess34.0ms (0.8%)

Profiling