Metrics for expq2 (section 3.11)

analyze117.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (28.3%)

Results

647.0ms	2702×	body	1024	valid
343.0ms	3945×	body	256	valid
242.0ms	1409×	body	512	valid
52.0ms	197×	body	2048	valid
1.0ms	3×	body	1024	infinite

Bogosity

preprocess98.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

164×	`(-.f64 (exp.f64 x) 1)`
92×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	40.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize96.0ms (2.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	41.8%	(-.f64 (exp.f64 x) 1)
✓	100.0%	(expm1.f64 x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series3.0ms (0.1%)

Counts

4 → 32

Calls

12 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))
0.0ms	x	@	-inf	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
0.0ms	x	@	inf	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

rewrite128.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`unpow-prod-down`
494×	`log1p-expm1-u`
493×	`expm1-log1p-u`
482×	`log-prod`
471×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	103	58
2	1359	58

Stop Event

1×	node limit

Counts

4 → 239

Calls

Call 1

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

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

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1610×	`fma-def`
1194×	`unswap-sqr`
986×	`associate-*r/`
550×	`sqr-pow`
474×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	7532
1	832	7164
2	2491	7004

Stop Event

1×	node limit

Counts

271 → 194

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

eval46.0ms (1%)

Compiler: Compiled 2569 to 1259 computations (51% saved)

prune45.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	186	8	194
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	188	8	196

Accuracy

100.0%

Counts

196 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f64 (exp.f64 x) x)
▶	40.2%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
▶	64.4%	(/.f64 1 x)
	64.5%	(+.f64 (/.f64 1 x) 1/2)
▶	64.8%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	64.8%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	29.2%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
	98.1%	(/.f64 (exp.f64 x) x)
▶	40.2%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
▶	64.4%	(/.f64 1 x)
	64.5%	(+.f64 (/.f64 1 x) 1/2)
▶	64.8%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	64.8%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	29.2%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 256 to 200 computations (21.9% saved)

localize155.0ms (3.4%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 x)
✓	100.0%	(log.f64 (expm1.f64 x))
✓	99.9%	(-.f64 x (log.f64 (expm1.f64 x)))
✓	97.2%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓	100.0%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	71.5%	(-.f64 1 (exp.f64 (neg.f64 x)))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.8%	(*.f64 1/12 x)
	100.0%	(expm1.f64 x)
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
✓	100.0%	(/.f64 1 (expm1.f64 x))

Compiler

Compiled 86 to 44 computations (48.8% saved)

series54.0ms (1.2%)

Counts

9 → 75

Calls

27 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f64 (expm1.f64 x))
15.0ms	x	@	-inf	(log.f64 (expm1.f64 x))
4.0ms	x	@	inf	(-.f64 x (log.f64 (expm1.f64 x)))
4.0ms	x	@	-inf	(-.f64 x (log.f64 (expm1.f64 x)))
2.0ms	x	@	inf	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))

rewrite124.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`log1p-expm1-u`
757×	`expm1-log1p-u`
480×	`expm1-udef`
478×	`log1p-udef`
212×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	162
1	347	154
2	4588	154

Stop Event

1×	node limit

Counts

9 → 276

Calls

Call 1

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

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

simplify127.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg`
754×	`log-prod`
620×	`exp-prod`
596×	`cube-prod`
492×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	8879
1	1365	8562
2	5186	8356

Stop Event

1×	node limit

Counts

351 → 360

Calls

Call 1

Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.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 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (log.f64 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(*.f64 -1 (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (.f64 1/2 x))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 4)) (.f64 1/2 x))))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 x) (+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(-.f64 (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 (neg.f64 (expm1.f64 x))))
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(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) (exp.f64 (.f64 x 3))))
(cbrt.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))
(+.f64 x (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 0 (-.f64 x (log.f64 (expm1.f64 x))))
(+.f64 (neg.f64 (log.f64 (expm1.f64 x))) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 1 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 x (log.f64 (expm1.f64 x))) (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2))) (neg.f64 (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 (expm1.f64 x))) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x)))) (.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x))))) (-.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 2))
(log.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(fma.f64 1 x (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(+.f64 0 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 x)))) 1)
(*.f64 1 (log.f64 (expm1.f64 x)))
(*.f64 (log.f64 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (-.f64 (expm1.f64 x) 1))

Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(+.f64 -1/2 (/.f64 1 x))
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)
(+.f64 -1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) -1/2))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.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 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 (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 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 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 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 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 (pow.f64 x 3) 1/6))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.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 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (log.f64 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x))))))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (.f64 1/2 x))
(fma.f64 -1 (log.f64 x) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (log.f64 x) (fma.f64 -1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(-.f64 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) -1/24)) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 4)) (.f64 1/2 x))))
(fma.f64 -1 (log.f64 x) (fma.f64 -1/24 (pow.f64 x 2) (fma.f64 1/2880 (pow.f64 x 4) (*.f64 x 1/2))))
(-.f64 (fma.f64 (pow.f64 x 2) -1/24 (fma.f64 (pow.f64 x 4) 1/2880 (*.f64 x 1/2))) (log.f64 x))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 x))
(+.f64 (log.f64 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 x) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 2) 1/24 (*.f64 x 1/2)))
(+.f64 (log.f64 x) (+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 x) (fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 4) -1/2880 (fma.f64 (pow.f64 x 2) 1/24 (*.f64 x 1/2))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(-.f64 (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 (neg.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 1) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))
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(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 0))
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(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 0))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (+.f64 (neg.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 0))
(+.f64 0 (-.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (neg.f64 (log.f64 (expm1.f64 x))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 1 (-.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 1 (/.f64 (+.f64 x (log.f64 (expm1.f64 x))) (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2))) (neg.f64 (+.f64 x (log.f64 (expm1.f64 x)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (fma.f64 -1 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (-.f64 (neg.f64 x) (log.f64 (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 (expm1.f64 x))) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x)))) (.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x))))) (-.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 3)
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3) 1/3)
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)
(-.f64 x (log.f64 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 2))
(-.f64 x (log.f64 (expm1.f64 x)))
(log.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
(-.f64 x (log.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x))))))
(-.f64 x (log.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3))
(-.f64 x (log.f64 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 1))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 1 x (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 0 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 x)))) 1)
(log.f64 (expm1.f64 x))
(*.f64 1 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(*.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(log.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(log.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(log.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(log.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(log.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(log.f64 (expm1.f64 x))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(log1p.f64 (+.f64 (expm1.f64 x) -1))
(log1p.f64 (+.f64 (exp.f64 x) -2))

eval788.0ms (17.2%)

Compiler: Compiled 9828 to 5817 computations (40.8% saved)

prune141.0ms (3.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	714	2	716
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	715	9	724

Accuracy

100.0%

Counts

724 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f64 (exp.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
✓	40.2%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	64.4%	(/.f64 1 x)
▶	64.5%	(+.f64 (/.f64 1 x) 1/2)
✓	64.8%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	64.8%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	3.0%	(+.f64 1/2 (*.f64 x 1/12))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	98.1%	(/.f64 (exp.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
✓	40.2%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	64.4%	(/.f64 1 x)
▶	64.5%	(+.f64 (/.f64 1 x) 1/2)
✓	64.8%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	64.8%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	3.0%	(+.f64 1/2 (*.f64 x 1/12))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 224 to 176 computations (21.4% saved)

localize141.0ms (3.1%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.9%	(*.f64 -1/720 (pow.f64 x 3))
	99.6%	(*.f64 1/12 x)
✓	100.0%	(/.f64 (exp.f64 x) x)
✓	99.6%	(*.f64 x 1/12)
✓	100.0%	(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
	100.0%	(expm1.f64 x)
✓	100.0%	(/.f64 (expm1.f64 x) (exp.f64 x))

Compiler

Compiled 104 to 67 computations (35.6% saved)

series6.0ms (0.1%)

Counts

6 → 46

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (exp.f64 x) x)
0.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(/.f64 (expm1.f64 x) (exp.f64 x))
0.0ms	x	@	-inf	(/.f64 (expm1.f64 x) (exp.f64 x))
0.0ms	x	@	inf	(/.f64 (exp.f64 x) x)

rewrite108.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`log1p-expm1-u`
819×	`expm1-log1p-u`
486×	`expm1-udef`
486×	`log1p-udef`
206×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	129
1	317	123
2	4243	123

Stop Event

1×	node limit

Counts

6 → 175

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) (exp.f64 x)))) 1)
(-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 1)
(*.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2)
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.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 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (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)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(.f64 (.f64 (/.f64 1 (expm1.f64 x)) 1) (exp.f64 x))
(.f64 (.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (-.f64 (log.f64 (expm1.f64 x)) x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(exp.f64 (*.f64 (neg.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) 1))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (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 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 x))
(*.f64 1 (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 (exp.f64 x) x) 1)
(*.f64 (/.f64 1 x) (exp.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 2) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (exp.f64 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (.f64 (exp.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (exp.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) 2)
(pow.f64 (/.f64 x (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(exp.f64 (-.f64 x (log.f64 x)))
(exp.f64 (*.f64 (-.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (neg.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (-.f64 (pow.f64 x -2) (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (.f64 (pow.f64 x 6) 1/518400)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))

simplify89.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1960×	`fma-def`
510×	`associate-+r+`
450×	`sqr-pow`
442×	`exp-prod`
404×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	6616
1	1036	6519
2	3366	6407

Stop Event

1×	node limit

Counts

221 → 242

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.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 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) (exp.f64 x)))) 1)
(-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 1)
(*.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2))
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(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))

Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/24 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/24 (pow.f64 x 4) (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x 1/6)))))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (exp.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.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 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 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.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 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 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 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 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 1 (fma.f64 x 1/2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (/.f64 1 x))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (fma.f64 1/2 x (/.f64 1 x))))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) (fma.f64 (pow.f64 x 2) 1/6 1))
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(fma.f64 x 1/12 (*.f64 (pow.f64 x 3) -1/720))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 1/12 x))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(fma.f64 x 1/12 (*.f64 (pow.f64 x 3) -1/720))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) (exp.f64 x)))) 1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (expm1.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (expm1.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 3)
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 3) 1/3)
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2)
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) -1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 2))
(-.f64 1 (exp.f64 (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) (exp.f64 x)))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) 3))
(-.f64 1 (exp.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (exp.f64 x) 3)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x))
(-.f64 1 (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) 1))
(-.f64 1 (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -2)))
(*.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 (expm1.f64 x) (exp.f64 x)) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.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 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (.f64 (/.f64 1 (expm1.f64 x)) 1) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (-.f64 (log.f64 (expm1.f64 x)) x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (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)
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (neg.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 (pow.f64 x 3) -1/720) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/518400 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (-.f64 (*.f64 (pow.f64 x 3) -1/720) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (-.f64 (pow.f64 x -2) (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 3)) (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (-.f64 (pow.f64 x -2) (.f64 (/.f64 1 x) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) 3)) (-.f64 (fma.f64 (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) (pow.f64 x -2)) (/.f64 (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) x)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) 3)) (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x 1/12 (*.f64 (pow.f64 x 3) -1/720)) (fma.f64 x 1/12 (fma.f64 (pow.f64 x 3) -1/720 (/.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (.f64 (pow.f64 x 6) 1/518400)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 (pow.f64 x 3) -1/720) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/518400 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (-.f64 (*.f64 (pow.f64 x 3) -1/720) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/518400 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) (neg.f64 (pow.f64 x -2))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (fma.f64 (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) (neg.f64 (pow.f64 x -2))) (+.f64 (fma.f64 x 1/12 (*.f64 (pow.f64 x 3) -1/720)) (/.f64 -1 x)))
(/.f64 (fma.f64 (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) (fma.f64 x 1/12 (.f64 (pow.f64 x 3) -1/720)) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/12 (fma.f64 (pow.f64 x 3) -1/720 (/.f64 -1 x))))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 (pow.f64 x 3) -1/720))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))

eval146.0ms (3.2%)

Compiler: Compiled 6539 to 4416 computations (32.5% saved)

prune54.0ms (1.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	406	0	406
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	406	9	415

Accuracy

100.0%

Counts

415 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f64 (exp.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
✓	40.2%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	64.4%	(/.f64 1 x)
✓	64.5%	(+.f64 (/.f64 1 x) 1/2)
✓	64.8%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	64.8%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	3.0%	(+.f64 1/2 (*.f64 x 1/12))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 152 to 108 computations (28.9% saved)

regimes16.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Calls

3 calls:

7.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 94 to 60 computations (36.2% saved)

regimes8.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes11.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 51 to 39 computations (23.5% saved)

regimes12.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
64.8%	1	`x`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.5%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -39.4b remaining (-172.9%)

Threshold costs -39.4b (-172.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.4%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-3090.9928124209714	-0.00446302620320618

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 219 to 170 computations (22.4% saved)

bsearch17.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-0.00446302620320618	-4.8267692474724504e-9

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 192 to 161 computations (16.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
10×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	270
1	54	270
2	59	270
3	62	270
4	63	270

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(if (<=.f64 x -5072854620270127/2305843009213693952) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)

Outputs
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 x 1/12) (/.f64 1 x)))))
(if (<=.f64 x -5072854620270127/2305843009213693952) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 x -5072854620270127/2305843009213693952) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)

Compiler

Compiled 84 to 64 computations (23.8% saved)

soundness544.0ms (11.9%)

Rules

1610×	`fma-def`
1610×	`fma-def`
1248×	`distribute-lft-in`
1194×	`unswap-sqr`
1194×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	30	102
2	43	102
3	65	102
4	132	82
5	436	82
6	2247	82
7	4558	78
0	12	58
1	103	58
2	1359	58
0	347	7532
1	832	7164
2	2491	7004
0	12	58
1	103	58
2	1359	58
0	347	7532
1	832	7164
2	2491	7004

Stop Event

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

Compiler

Compiled 449 to 220 computations (51% saved)

end0.0ms (0%)

preprocess72.0ms (1.6%)

Compiler: Compiled 184 to 126 computations (31.5% saved)

analyze117.0ms (2.5%)

sample1.3s (28.3%)

preprocess98.0ms (2.1%)

eval0.0ms (0%)

prune2.0ms (0%)

localize96.0ms (2.1%)

series3.0ms (0.1%)

rewrite128.0ms (2.8%)

simplify95.0ms (2.1%)

eval46.0ms (1%)

prune45.0ms (1%)

localize155.0ms (3.4%)

series54.0ms (1.2%)

rewrite124.0ms (2.7%)

simplify127.0ms (2.8%)

eval788.0ms (17.2%)

prune141.0ms (3.1%)

localize141.0ms (3.1%)

series6.0ms (0.1%)

rewrite108.0ms (2.4%)

simplify89.0ms (1.9%)

eval146.0ms (3.2%)

prune54.0ms (1.2%)

regimes16.0ms (0.3%)

regimes8.0ms (0.2%)

regimes11.0ms (0.3%)

regimes12.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch16.0ms (0.3%)

bsearch17.0ms (0.4%)

simplify7.0ms (0.2%)

soundness544.0ms (11.9%)

end0.0ms (0%)

preprocess72.0ms (1.6%)

Profiling