Metrics for expq2 (section 3.11)

analyze104.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
25%	18.8%	56.4%	24.8%	0%	0%	0%	4
31.3%	23.5%	51.7%	24.8%	0%	0%	0%	5
37.5%	28.2%	47%	24.8%	0%	0%	0%	6
39.1%	29.4%	45.8%	24.8%	0%	0%	0%	7
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	8
41.4%	31.1%	44.1%	24.8%	0%	0%	0%	9
41.6%	31.3%	43.9%	24.8%	0%	0%	0%	10
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	11
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.5s (34.2%)

Results

890.0ms	2717×	body	1024	valid
349.0ms	3876×	body	256	valid
222.0ms	1391×	body	512	valid
67.0ms	272×	body	2048	valid

Bogosity

preprocess90.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	37.9%	(/.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)

localize91.0ms (2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	39.4%	(-.f64 (exp.f64 x) 1)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series2.0ms (0.1%)

Counts

3 → 20

Calls

9 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))

rewrite179.0ms (4%)

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	50
1	103	50
2	1359	50

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs
(/.f64 (exp.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 (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))))

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1600×	`fma-def`
1194×	`unswap-sqr`
984×	`associate-*r/`
548×	`sqr-pow`
474×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	6009
1	815	5743
2	2458	5637

Stop Event

1×	node limit

Counts

202 → 185

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 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))
(*.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 (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))))

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

eval53.0ms (1.2%)

Compiler: Compiled 2386 to 1149 computations (51.8% saved)

prune33.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	178	7	185
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	178	9	187

Accuracy

100.0%

Counts

187 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.3%	(/.f64 (exp.f64 x) x)
	37.9%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
▶	66.5%	(/.f64 1 x)
▶	66.5%	(+.f64 (/.f64 1 x) 1/2)
▶	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	37.9%	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
▶	100.0%	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.3%	(/.f64 (exp.f64 x) x)
	37.9%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
▶	66.5%	(/.f64 1 x)
▶	66.5%	(+.f64 (/.f64 1 x) 1/2)
▶	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	37.9%	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))

Compiler

Compiled 248 to 190 computations (23.4% saved)

localize98.0ms (2.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) x)
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)
✓	100.0%	(+.f64 (/.f64 1 x) 1/2)
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x)))
✓	100.0%	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))

Compiler

Compiled 88 to 56 computations (36.4% saved)

series7.0ms (0.2%)

Counts

7 → 47

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
1.0ms	x	@	inf	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
1.0ms	x	@	0	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
1.0ms	x	@	-inf	(/.f64 (exp.f64 x) x)
0.0ms	x	@	inf	(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x)))

rewrite321.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1087×	`log1p-expm1-u`
651×	`expm1-log1p-u`
518×	`expm1-udef`
518×	`log1p-udef`
202×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	157
1	303	157
2	4460	157

Stop Event

1×	node limit

Counts

7 → 233

Calls

Call 1

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

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

simplify346.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

634×	`cube-prod`
524×	`div-sub`
494×	`associate-r`
466×	`exp-prod`
452×	`fabs-mul`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	8962
1	1258	8701
2	4717	8551

Stop Event

1×	node limit

Counts

280 → 312

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 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 x)) 1))
(/.f64 (.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))) (-.f64 (exp.f64 (.f64 2 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 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (+.f64 1 (exp.f64 x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.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 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1 (/.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 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x 2)))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))) 1))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))) 1) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))) (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2))))) 1)
(.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (.f64 x 2))))
(.f64 1 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 2))))
(.f64 (+.f64 (exp.f64 x) 1) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))))
(.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 2))) 1)
(.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))) 2) (cbrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 2)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))) (sqrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (*.f64 x 2)))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 x 2)))))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (.f64 x 2))) (exp.f64 x))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x 2))) (+.f64 (exp.f64 x) 1))
(.f64 (/.f64 1 (expm1.f64 (.f64 x 2))) (/.f64 (exp.f64 x) (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1)))) (/.f64 (exp.f64 x) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (expm1.f64 (.f64 x 2))) (/.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))) 2)) (cbrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1)))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 (.f64 x 2))) (/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)))))
(.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x 2))) 1) (+.f64 (exp.f64 x) 1))
(.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x 2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(.f64 (/.f64 (exp.f64 x) 1) (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (.f64 x 2))))
(.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (.f64 x 2)))) (+.f64 -1 (neg.f64 (exp.f64 x))))
(pow.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (.f64 x 2)) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))) -1)
(neg.f64 (/.f64 (exp.f64 x) (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))))
(exp.f64 (-.f64 x (-.f64 (log.f64 (expm1.f64 (*.f64 x 2))) (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (-.f64 x (-.f64 (log.f64 (expm1.f64 (.f64 x 2))) (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(.f64 1 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1)) 1)
(.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) (expm1.f64 (.f64 x 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (/.f64 (expm1.f64 (.f64 x 2)) (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (/.f64 (expm1.f64 (.f64 x 2)) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (+.f64 (exp.f64 x) 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (+.f64 (exp.f64 x) 1)))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (expm1.f64 (*.f64 x 2))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 -1 (neg.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(exp.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 x 2))) (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (-.f64 (log.f64 (expm1.f64 (.f64 x 2))) (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) -1/2)) (/.f64 1/4 (+.f64 (/.f64 1 x) -1/2)))
(*.f64 1 (+.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 1/2 (/.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) 1/2)))
(fma.f64 1 (/.f64 1 x) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(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 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (-.f64 (.f64 x 1/12) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 x 1/12) (/.f64 1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (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 (pow.f64 (.f64 x 1/12) 2) (-.f64 (pow.f64 x -2) (/.f64 (.f64 x 1/12) x)))))
(.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x 1/12) (/.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (-.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 (-.f64 (.f64 x 1/12) (/.f64 1 x)) (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 (.f64 x 1/12) 2) (-.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 (pow.f64 (.f64 x 1/12) 2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2)) (-.f64 (.f64 x 1/12) (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/12) 2) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/12) 2) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 x 1/12) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (.f64 x 1/12) 2)) (-.f64 (/.f64 1 x) (.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1/12 x (/.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 (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 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.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 1 x) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) x) 1)
(*.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 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) 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) (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)) (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))) (/.f64 1 (cbrt.f64 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)))

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

eval153.0ms (3.4%)

Compiler: Compiled 4608 to 3098 computations (32.8% saved)

prune60.0ms (1.3%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	311	1	312
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	311	10	321

Accuracy

100.0%

Counts

321 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.3%	(/.f64 (exp.f64 x) x)
▶	37.9%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	66.5%	(/.f64 1 x)
✓	66.5%	(+.f64 (/.f64 1 x) 1/2)
✓	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	37.9%	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
	3.3%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.3%	(/.f64 (exp.f64 x) x)
▶	37.9%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	66.5%	(/.f64 1 x)
✓	66.5%	(+.f64 (/.f64 1 x) 1/2)
✓	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	37.9%	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
	3.3%	1/2

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize122.0ms (2.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
✓	39.5%	(-.f64 1 (exp.f64 (neg.f64 x)))
✓	100.0%	(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)
✓	59.1%	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
✓	39.5%	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 49 to 24 computations (51% saved)

series5.0ms (0.1%)

Counts

5 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 1 (exp.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)
1.0ms	x	@	inf	(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`unpow-prod-down`
550×	`log-prod`
546×	`log1p-expm1-u`
546×	`expm1-log1p-u`
439×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	169	90
2	1987	90

Stop Event

1×	node limit

Counts

5 → 215

Calls

Call 1

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

Outputs
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1902×	`fma-neg`
1002×	`times-frac`
930×	`fma-def`
634×	`*-commutative`
596×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1504
1	171	1496
2	339	1484
3	897	1400
4	2515	1400
5	6036	1400

Stop Event

1×	node limit

Counts

263 → 88

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 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 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 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 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 3/8 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
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))))
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9

Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.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))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (pow.f64 x 2) (fma.f64 x 1/6 -1/2) 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 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/24 (pow.f64 x 4) (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x 1/6)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) (fma.f64 x 1/6 -1/2) x))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.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 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (fma.f64 x (fma.f64 (pow.f64 x 2) -1/720 1/12) 1/2))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 2))))
(+.f64 3/8 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 3/8)
(+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) 3/8))
(+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) 3/8)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 x) 3/8)))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) 3))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.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))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (pow.f64 x 2) (fma.f64 x 1/6 -1/2) 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 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/24 (pow.f64 x 4) (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x 1/6)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) (fma.f64 x 1/6 -1/2) x))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (expm1.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 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (fma.f64 x (fma.f64 (pow.f64 x 2) -1/720 1/12) 1/2))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9
-18
-12
-9
-8
-15/2
-6
-5
-9/2
-4
-3
-5/2
-9/4
-2
-3/2
-1
-3/4
-2/3
-1/2
-1/3
-1/4
-1/6
0
1/18
1/9
1/6
2/9
1/3
1/2
2/3
5/6
1
4/3
3/2
5/3
2
5/2
8/3
3
4
9/2
5
6
9

eval41.0ms (0.9%)

Compiler: Compiled 1062 to 898 computations (15.4% saved)

prune26.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	0	1	1
Picked	2	0	2
Done	2	5	7
Total	148	10	158

Accuracy

100.0%

Counts

158 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	98.3%	(/.f64 (exp.f64 x) x)
▶	100.0%	(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
✓	66.5%	(/.f64 1 x)
▶	3.4%	(/.f64 1 2/9)
▶	3.1%	(/.f64 1 -18)
✓	66.5%	(+.f64 (/.f64 1 x) 1/2)
✓	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	59.1%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.3%	1/2
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	98.3%	(/.f64 (exp.f64 x) x)
▶	100.0%	(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
✓	66.5%	(/.f64 1 x)
▶	3.4%	(/.f64 1 2/9)
▶	3.1%	(/.f64 1 -18)
✓	66.5%	(+.f64 (/.f64 1 x) 1/2)
✓	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	59.1%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.3%	1/2

Compiler

Compiled 116 to 94 computations (19% saved)

localize71.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
✓	100.0%	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
✓	59.1%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

Compiler

Compiled 53 to 24 computations (54.7% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
1.0ms	x	@	inf	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
1.0ms	x	@	-inf	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`unpow-prod-down`
410×	`log-prod`
376×	`cbrt-prod`
358×	`log1p-expm1-u`
357×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	156	42
2	1809	42

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (expm1.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) -3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (cbrt.f64 -1) -3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -5/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 1 (expm1.f64 x))
(/.f64 -1 (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3/2)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) -6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) -9) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -3/2) 2/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 -1) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) -3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(+.f64 0 (pow.f64 (expm1.f64 x) -3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 x) -3)) 1)
(*.f64 (pow.f64 (expm1.f64 x) -3) 1)
(*.f64 (pow.f64 (expm1.f64 x) -3) -1)
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (expm1.f64 x) -2))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) -3/2))
(*.f64 1 (pow.f64 (expm1.f64 x) -3))
(*.f64 -1 (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 -1 -3/2) (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3/4) (pow.f64 (pow.f64 (expm1.f64 x) 3/2) -3/2))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -5/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3) (/.f64 1 (expm1.f64 x)))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3) (/.f64 1 (expm1.f64 x)))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) -3/2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3/2) -3/2) (pow.f64 (expm1.f64 x) -3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5) -3/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -8) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -15/2) 1/3) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 -1 -3/2) 2) (pow.f64 (expm1.f64 x) -3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9))))
(/.f64 (pow.f64 (expm1.f64 x) -2) (expm1.f64 x))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1) (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))
(cbrt.f64 (pow.f64 (expm1.f64 x) -9))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) -6) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (expm1.f64 x))) -3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) -9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) -3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 x) -3)))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (expm1.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) -3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (cbrt.f64 -1) -3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -5/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3/2)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) -6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) -9) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -3/2) 2/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 -1) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) -3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1500×	`fma-def`
1324×	`times-frac`
1132×	`unswap-sqr`
490×	`distribute-lft-in`
460×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	8589939679
1	762	5035
2	2056	4963

Stop Event

1×	node limit

Counts

201 → 178

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/12 (cbrt.f64 -1)) (+.f64 (.f64 1/24 (cbrt.f64 -1)) (.f64 1/2 (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1)))))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1/2 (cbrt.f64 -1)))))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 3/8 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (expm1.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) -3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (cbrt.f64 -1) -3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -5/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 1 (expm1.f64 x))
(/.f64 -1 (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3/2)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) -6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) -9) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -3/2) 2/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 -1) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) -3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(+.f64 0 (pow.f64 (expm1.f64 x) -3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 x) -3)) 1)
(*.f64 (pow.f64 (expm1.f64 x) -3) 1)
(*.f64 (pow.f64 (expm1.f64 x) -3) -1)
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (expm1.f64 x) -2))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) -3/2))
(*.f64 1 (pow.f64 (expm1.f64 x) -3))
(*.f64 -1 (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 -1 -3/2) (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3/4) (pow.f64 (pow.f64 (expm1.f64 x) 3/2) -3/2))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -5/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3) (/.f64 1 (expm1.f64 x)))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3) (/.f64 1 (expm1.f64 x)))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) -3/2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3/2) -3/2) (pow.f64 (expm1.f64 x) -3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5) -3/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -8) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -15/2) 1/3) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 -1 -3/2) 2) (pow.f64 (expm1.f64 x) -3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) -9))))
(/.f64 (pow.f64 (expm1.f64 x) -2) (expm1.f64 x))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1) (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))
(cbrt.f64 (pow.f64 (expm1.f64 x) -9))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) -6) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (expm1.f64 x))) -3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) -9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) -3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 x) -3)))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (expm1.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) -3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (cbrt.f64 -1) -3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -5/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3/2)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) -6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) -9) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -3/2) 2/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 -1) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) -3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))

Outputs
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1)))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (*.f64 (cbrt.f64 -1) -1/2))
(-.f64 (*.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1))))
(fma.f64 -1 (.f64 x (.f64 (cbrt.f64 -1) 1/12)) (fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (*.f64 (cbrt.f64 -1) -1/2)))
(-.f64 (-.f64 (.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x)) (.f64 (cbrt.f64 -1) (*.f64 x 1/12)))
(-.f64 (.f64 (cbrt.f64 -1) -1/2) (fma.f64 (cbrt.f64 -1) (.f64 x 1/12) (/.f64 (cbrt.f64 -1) x)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/12 (cbrt.f64 -1)) (+.f64 (.f64 1/24 (cbrt.f64 -1)) (.f64 1/2 (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1)))))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1/2 (cbrt.f64 -1)))))
(fma.f64 -1 (.f64 x (.f64 (cbrt.f64 -1) 1/12)) (fma.f64 -1 (.f64 (pow.f64 x 2) (fma.f64 -1/12 (cbrt.f64 -1) (fma.f64 1/24 (cbrt.f64 -1) (.f64 (.f64 (cbrt.f64 -1) 1/12) 1/2)))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (.f64 (cbrt.f64 -1) -1/2))))
(-.f64 (-.f64 (-.f64 (.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x)) (.f64 (pow.f64 x 2) (+.f64 (.f64 (cbrt.f64 -1) 1/24) (.f64 (cbrt.f64 -1) -1/24)))) (.f64 (cbrt.f64 -1) (.f64 x 1/12)))
(fma.f64 (pow.f64 x 2) 0 (-.f64 (.f64 (cbrt.f64 -1) -1/2) (fma.f64 (cbrt.f64 -1) (.f64 x 1/12) (/.f64 (cbrt.f64 -1) x))))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 3/2 (pow.f64 x 2)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3/2 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 3/8 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (/.f64 3/2 (pow.f64 x 2)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) 3/8)
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3/2 (pow.f64 x 2)) (/.f64 1 x))) 3/8)
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/2 (pow.f64 x 2)) 3/8)))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/720 (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (expm1.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(/.f64 1 (expm1.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 -1 (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 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 -1) (/.f64 1 (expm1.f64 x)))
(/.f64 (cbrt.f64 -1) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) -3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -3/2))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -3))
(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) -6)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) -6)
(*.f64 (pow.f64 (cbrt.f64 -1) -3) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (cbrt.f64 -1) -3))
(/.f64 (pow.f64 (cbrt.f64 -1) -3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) -3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (neg.f64 (sqrt.f64 (expm1.f64 x))))
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(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -5/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x)))) 3))
(/.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (/.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -8))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -5/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(pow.f64 (expm1.f64 x) -1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3/2)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3) -1/6) (pow.f64 (pow.f64 (expm1.f64 x) 3) -1/6))
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) -9) 1/9)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -9) 1/18) (pow.f64 (pow.f64 (expm1.f64 x) -9) 1/18))
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(/.f64 1 (expm1.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -3/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -3/2)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 -1) (log.f64 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(/.f64 1 (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) -3/2))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) -3))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (expm1.f64 x))) 2))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))

eval54.0ms (1.2%)

Compiler: Compiled 1888 to 1288 computations (31.8% saved)

prune28.0ms (0.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	1	1
Picked	1	3	4
Done	0	5	5
Total	178	10	188

Accuracy

100.0%

Counts

188 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	98.3%	(/.f64 (exp.f64 x) x)
✓	66.5%	(/.f64 1 x)
✓	3.4%	(/.f64 1 2/9)
✓	3.1%	(/.f64 1 -18)
	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	66.5%	(+.f64 (/.f64 1 x) 1/2)
✓	66.4%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	59.1%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
	3.3%	1/2

Compiler

Compiled 143 to 101 computations (29.4% saved)

regimes16.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 -18)
(/.f64 1 2/9)
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (exp.f64 x) x)
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(/.f64 (exp.f64 x) (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 x))))

Outputs
(/.f64 -1 (expm1.f64 (neg.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 99 to 63 computations (36.4% saved)

regimes9.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 -18)
(/.f64 1 2/9)
(/.f64 1 x)
(+.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:

7.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 -18)
(/.f64 1 2/9)
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Outputs
(/.f64 1 x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.5%	1	`x`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 -18)
(/.f64 1 2/9)

Outputs
(/.f64 1 2/9)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.4%	1	`x`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 -18)

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	22	47
2	24	47
3	25	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(/.f64 1 x)
(/.f64 1 2/9)
1/2

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(/.f64 1 x)
(/.f64 1 2/9)
9/2
1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

soundness633.0ms (14.1%)

Rules

1902×	`fma-neg`
1600×	`fma-def`
1600×	`fma-def`
1500×	`fma-def`
1324×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	25	71
2	33	71
3	44	71
4	79	64
5	223	62
6	1176	62
7	4954	60
0	12	50
1	103	50
2	1359	50
0	340	6009
1	815	5743
2	2458	5637
0	92	1504
1	171	1496
2	339	1484
3	897	1400
4	2515	1400
5	6036	1400
0	321	8589939679
1	762	5035
2	2056	4963
0	340	6009
1	815	5743
2	2458	5637
0	14	90
1	169	90
2	1987	90

Stop Event

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

Compiler

Compiled 508 to 268 computations (47.2% saved)

end0.0ms (0%)

preprocess44.0ms (1%)

Compiler: Compiled 60 to 44 computations (26.7% saved)

analyze104.0ms (2.3%)

sample1.5s (34.2%)

preprocess90.0ms (2%)

eval0.0ms (0%)

prune2.0ms (0%)

localize91.0ms (2%)

series2.0ms (0.1%)

rewrite179.0ms (4%)

simplify81.0ms (1.8%)

eval53.0ms (1.2%)

prune33.0ms (0.7%)

localize98.0ms (2.2%)

series7.0ms (0.2%)

rewrite321.0ms (7.1%)

simplify346.0ms (7.7%)

eval153.0ms (3.4%)

prune60.0ms (1.3%)

localize122.0ms (2.7%)

series5.0ms (0.1%)

rewrite57.0ms (1.3%)

simplify73.0ms (1.6%)

eval41.0ms (0.9%)

prune26.0ms (0.6%)

localize71.0ms (1.6%)

series6.0ms (0.1%)

rewrite66.0ms (1.5%)

simplify75.0ms (1.7%)

eval54.0ms (1.2%)

prune28.0ms (0.6%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify3.0ms (0.1%)

soundness633.0ms (14.1%)

end0.0ms (0%)

preprocess44.0ms (1%)

Profiling