Metrics for expq2 (section 3.11)

analyze149.0ms (4.4%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.0s (58.4%)

Results

1.0s	2802×	body	1024	valid
536.0ms	1393×	body	512	valid
369.0ms	3886×	body	256	valid
47.0ms	175×	body	2048	valid

Bogosity

preprocess206.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

628×	`distribute-lft-in`
473×	`fma-neg`
455×	`div-sub`
389×	`times-frac`
326×	`distribute-lft-neg-in`

Problems

166×	`(-.f64 (exp.f64 x) 1)`
90×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize24.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite179.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

391×	`log1p-expm1-u`
390×	`expm1-log1p-u`
371×	`add-exp-log`
364×	`add-log-exp`
339×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1067	21

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

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

simplify82.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

431×	`times-frac`
323×	`div-sub`
273×	`associate-/l*`
261×	`fma-def`
260×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2324
1	524	2228
2	1413	2182
3	5569	1916

Stop Event

1×	node limit

Counts

74 → 103

Calls

Call 1

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

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

eval22.0ms (0.7%)

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

prune18.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

104 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	65.5%	(+.f64 (/.f64 1 x) 1/2)
▶	65.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	66.0%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	65.5%	(+.f64 (/.f64 1 x) 1/2)
▶	65.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 136 to 108 computations (20.6% saved)

localize102.0ms (3%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 45 computations (38.4% saved)

series5.0ms (0.1%)

Counts

4 → 27

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	inf	(/.f64 1 (expm1.f64 x))
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(/.f64 1 (expm1.f64 x))

rewrite105.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`prod-diff`
689×	`log1p-expm1-u`
687×	`expm1-log1p-u`
351×	`log-prod`
264×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	214	59
2	2959	59

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify106.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

549×	`unswap-sqr`
398×	`distribute-rgt-in`
397×	`distribute-lft-in`
312×	`associate-+r+`
312×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	6603
1	764	6371
2	2509	5968

Stop Event

1×	node limit

Counts

223 → 228

Calls

Call 1

Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))))) (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 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (pow.f64 (*.f64 x 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (fma.f64 x 1/12 (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (.f64 x 1/12) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/12) 3) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 (pow.f64 x -2) (/.f64 (.f64 x 1/12) x))))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))) (exp.f64 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 1 (.f64 x 1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 1 (.f64 x 1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (neg.f64 (/.f64 1 x)))
(fma.f64 x 1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 x 1/12 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 1 x)))
(fma.f64 1/12 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 1/12 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 x 1/12) 1 (/.f64 1 x))
(fma.f64 (*.f64 x 1/12) 1 (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 x 1/12) 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (.f64 x 1/12) 1 (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (/.f64 1 x) 1 (*.f64 x 1/12))
(fma.f64 -1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (neg.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 x 1/12))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 x 1/12))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 (.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))))) (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 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))

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

eval85.0ms (2.5%)

Compiler: Compiled 3720 to 2775 computations (25.4% saved)

prune31.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	228	5	233

Accuracy

100.0%

Counts

233 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.0%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	65.5%	(+.f64 (/.f64 1 x) 1/2)
✓	65.5%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	100.0%	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 76 to 54 computations (28.9% saved)

regimes10.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 55 to 35 computations (36.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.8b remaining (-3.6%)

Threshold costs -0.8b (-3.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.0%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

soundness231.0ms (6.8%)

Rules

628×	`distribute-lft-in`
473×	`fma-neg`
455×	`div-sub`
431×	`times-frac`
389×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78
0	213	2324
1	524	2228
2	1413	2182
3	5569	1916

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 162 to 85 computations (47.5% saved)

end0.0ms (0%)

preprocess33.0ms (1%)

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

analyze149.0ms (4.4%)

sample2.0s (58.4%)

preprocess206.0ms (6.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.7%)

series2.0ms (0%)

rewrite179.0ms (5.3%)

simplify82.0ms (2.4%)

eval22.0ms (0.7%)

prune18.0ms (0.5%)

localize102.0ms (3%)

series5.0ms (0.1%)

rewrite105.0ms (3.1%)

simplify106.0ms (3.1%)

eval85.0ms (2.5%)

prune31.0ms (0.9%)

regimes10.0ms (0.3%)

regimes4.0ms (0.1%)

simplify9.0ms (0.3%)

soundness231.0ms (6.8%)

end0.0ms (0%)

preprocess33.0ms (1%)

Profiling