Metrics for expq2 (section 3.11)

analyze168.0ms (3.7%)

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)

sample2.4s (53.3%)

Results

1.0s	2747×	body	1024	valid
949.0ms	3934×	body	256	valid
250.0ms	1391×	body	512	valid
168.0ms	184×	body	2048	valid

Bogosity

preprocess133.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Problems

170×	`(-.f64 (exp.f64 x) 1)`
86×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	47	102
3	70	102
4	138	80
5	444	80
6	2268	80
7	4599	76

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 (reciprocal.f64 (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(reciprocal.f64 (-.f64 1 (exp.f64 x)))
(reciprocal.f64 (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 (0.5%)

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)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms	x	@	inf	(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms	x	@	0	(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite176.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

391×	`log1p-expm1-u`
390×	`expm1-log1p-u`
371×	`add-exp-log`
363×	`add-log-exp`
359×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1069	21

Stop Event

1×	node limit

Counts

1 → 64

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) (reciprocal.f64 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (reciprocal.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (reciprocal.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2) (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (reciprocal.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (reciprocal.f64 (expm1.f64 x)) (exp.f64 x))
(*.f64 (reciprocal.f64 (expm1.f64 x)) (pow.f64 (reciprocal.f64 (exp.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 (reciprocal.f64 (exp.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) (exp.f64 x)) 1/3) (cbrt.f64 (reciprocal.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 (reciprocal.f64 (exp.f64 x))) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.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 (reciprocal.f64 (exp.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -2) (exp.f64 x))) (cbrt.f64 (reciprocal.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 (reciprocal.f64 (exp.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 (reciprocal.f64 (exp.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (reciprocal.f64 (exp.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 (reciprocal.f64 (exp.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(reciprocal.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))))
(reciprocal.f64 (/.f64 (-.f64 1 (reciprocal.f64 (exp.f64 x))) 1))
(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))))

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

350×	`times-frac`
325×	`div-sub`
265×	`associate-/l*`
260×	`fma-def`
254×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2383
1	516	2297
2	1390	2253
3	5454	1987

Stop Event

1×	node limit

Counts

76 → 99

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

eval35.0ms (0.8%)

Compiler: Compiled 1202 to 545 computations (54.7% saved)

prune38.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Accuracy

100.0%

Counts

100 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	67.9%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
▶	67.2%	(+.f64 1/2 (/.f64 1 x))
	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	28.4%	(reciprocal.f64 x)
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	67.9%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
▶	67.2%	(+.f64 1/2 (/.f64 1 x))
	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	28.4%	(reciprocal.f64 x)

Compiler

Compiled 148 to 116 computations (21.6% saved)

localize61.0ms (1.4%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/2 (/.f64 1 x))
✓	100.0%	(+.f64 (reciprocal.f64 x) 1/2)
✓	39.6%	(reciprocal.f64 x)
✓	39.6%	(reciprocal.f64 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series9.0ms (0.2%)

Counts

5 → 51

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	0	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	0	(reciprocal.f64 x)
1.0ms	x	@	-inf	(reciprocal.f64 x)

rewrite111.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log1p-expm1-u`
681×	`expm1-log1p-u`
485×	`unpow-prod-down`
298×	`log-prod`
191×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	184	58
2	2245	58

Stop Event

1×	node limit

Counts

5 → 327

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(reciprocal.f64 x)
(reciprocal.f64 x)
(+.f64 (reciprocal.f64 x) 1/2)
(+.f64 1/2 (/.f64 1 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 (reciprocal.f64 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) (pow.f64 (neg.f64 (expm1.f64 x)) -1/2))
(*.f64 (reciprocal.f64 (expm1.f64 x)) -1)
(*.f64 (reciprocal.f64 (expm1.f64 x)) (log.f64 (exp.f64 -1)))
(*.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 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (pow.f64 (cbrt.f64 (reciprocal.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 (reciprocal.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) -2) -1) 1/3) (pow.f64 (reciprocal.f64 (expm1.f64 x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 1/3) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2) 1/3) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) -1) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(neg.f64 (reciprocal.f64 (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 (reciprocal.f64 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(reciprocal.f64 (neg.f64 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(+.f64 0 (reciprocal.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 x))) (cbrt.f64 (exp.f64 (reciprocal.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 x))) 1)
(*.f64 -1 (reciprocal.f64 x))
(*.f64 1 (reciprocal.f64 x))
(*.f64 (reciprocal.f64 x) -1)
(*.f64 (reciprocal.f64 x) 1)
(*.f64 (reciprocal.f64 x) (log.f64 (exp.f64 1)))
(*.f64 (reciprocal.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (reciprocal.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (neg.f64 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 2))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (pow.f64 (neg.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 1 1/3) (reciprocal.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3))
(*.f64 (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 x))) 3) (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 x))) 3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) -1) (pow.f64 x -1/2))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (reciprocal.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) -1) (reciprocal.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 -1 (sqrt.f64 x)) -1) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3) (pow.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 x))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 x))) (cbrt.f64 (reciprocal.f64 (cbrt.f64 x)))) 3) (pow.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) -2)) 2) (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2))
(*.f64 (pow.f64 (pow.f64 x -3/2) 1/3) (pow.f64 (pow.f64 x -3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) -2)) 1/3) (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 x -5/2) 1/3) (pow.f64 (pow.f64 x -1/2) 1/3))
(/.f64 -1 x)
(/.f64 1 x)
(/.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 x))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x -1)
(pow.f64 (reciprocal.f64 x) 1)
(pow.f64 (reciprocal.f64 (cbrt.f64 x)) 3)
(pow.f64 (cbrt.f64 x) -3)
(pow.f64 (pow.f64 x -2) 1/2)
(pow.f64 (pow.f64 x 2) -1/2)
(pow.f64 (pow.f64 x 3) -1/3)
(pow.f64 (pow.f64 x -1/2) 2)
(pow.f64 (sqrt.f64 x) -2)
(pow.f64 (pow.f64 x -3) 1/3)
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (reciprocal.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))))
(cbrt.f64 (pow.f64 x -3))
(expm1.f64 (log1p.f64 (reciprocal.f64 x)))
(exp.f64 (log.f64 (reciprocal.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -1))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 x) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (reciprocal.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 x)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (reciprocal.f64 x)) 3) 1/3))
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(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)) -1)
(pow.f64 (/.f64 (fma.f64 (reciprocal.f64 x) (+.f64 (reciprocal.f64 x) -1/2) 1/4) (+.f64 (pow.f64 x -3) 1/8)) -1)
(pow.f64 (/.f64 (+.f64 (reciprocal.f64 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)) -1)
(pow.f64 (/.f64 (+.f64 1/2 (reciprocal.f64 x)) (-.f64 1/4 (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (reciprocal.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(reciprocal.f64 (/.f64 (fma.f64 (reciprocal.f64 x) (+.f64 (reciprocal.f64 x) -1/2) 1/4) (+.f64 (pow.f64 x -3) 1/8)))
(reciprocal.f64 (/.f64 (+.f64 (reciprocal.f64 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(reciprocal.f64 (/.f64 (+.f64 1/2 (reciprocal.f64 x)) (-.f64 1/4 (pow.f64 x -2))))
(expm1.f64 (log1p.f64 (+.f64 1/2 (reciprocal.f64 x))))
(exp.f64 (log.f64 (+.f64 1/2 (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (reciprocal.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (reciprocal.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (reciprocal.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 1/2 (reciprocal.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (reciprocal.f64 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1/2 (reciprocal.f64 x))))
(fma.f64 -1 (reciprocal.f64 x) 1/2)
(fma.f64 1 (reciprocal.f64 x) 1/2)
(fma.f64 (reciprocal.f64 x) 1 1/2)
(fma.f64 (reciprocal.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (reciprocal.f64 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)

simplify128.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

406×	`distribute-lft-in`
383×	`sqr-pow`
362×	`log-prod`
338×	`exp-prod`
277×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	8298
1	1095	8135
2	3419	7909

Stop Event

1×	node limit

Counts

378 → 259

Calls

Call 1

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

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

eval125.0ms (2.8%)

Compiler: Compiled 3398 to 2230 computations (34.4% saved)

prune53.0ms (1.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	332	1	333
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	332	8	340

Accuracy

100.0%

Counts

340 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
▶	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
▶	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2

Compiler

Compiled 84 to 66 computations (21.4% saved)

localize40.0ms (0.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	100.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	99.4%	(*.f64 1/12 x)

Compiler

Compiled 28 to 21 computations (25% saved)

series6.0ms (0.1%)

Counts

3 → 9

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/12 x)
1.0ms	x	@	inf	(*.f64 1/12 x)
1.0ms	x	@	0	(*.f64 1/12 x)
1.0ms	x	@	inf	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
0.0ms	x	@	inf	(+.f64 (*.f64 1/12 x) (/.f64 1 x))

rewrite97.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`prod-diff`
767×	`log1p-expm1-u`
767×	`expm1-log1p-u`
356×	`fma-def`
323×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	147	54
2	2054	54

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 1/12 x))
(+.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 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 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 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (/.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(*.f64 1 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))
(*.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2)) (reciprocal.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)) (neg.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3) (pow.f64 x -3)) (fma.f64 (fma.f64 1/12 x 1/2) (fma.f64 1/12 x 1/2) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 1/12 x 1/2) (reciprocal.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) 1/4) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2))
(/.f64 (-.f64 (*.f64 (fma.f64 1/12 x 1/2) (fma.f64 1/12 x 1/2)) (pow.f64 x -2)) (-.f64 (fma.f64 1/12 x 1/2) (reciprocal.f64 x)))
(pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))))
(log.f64 (*.f64 (exp.f64 (reciprocal.f64 x)) (exp.f64 (fma.f64 1/12 x 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (exp.f64 (fma.f64 1/12 x 1/2))))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/12 x 1/2)) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 3))
(reciprocal.f64 (/.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)))
(reciprocal.f64 (/.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(fma.f64 1/12 x (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 x 1/12 (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (*.f64 1/12 x) 1 (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 1 (*.f64 1/12 x) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 1 (reciprocal.f64 x) (fma.f64 1/12 x 1/2))
(fma.f64 1 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2)
(fma.f64 1 (fma.f64 1/12 x 1/2) (reciprocal.f64 x))
(fma.f64 (reciprocal.f64 x) 1 (fma.f64 1/12 x 1/2))
(fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1 1/2)
(fma.f64 -1 (reciprocal.f64 (neg.f64 x)) (fma.f64 1/12 x 1/2))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 1/12 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (reciprocal.f64 x)) (fma.f64 1/12 x 1/2))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2) (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (fma.f64 1/12 x 1/2))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) 1/2)
(fma.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (reciprocal.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x))) 1/2)
(fma.f64 (fma.f64 1/12 x 1/2) 1 (reciprocal.f64 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (fma.f64 1/12 x 1/2))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (fma.f64 1/12 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/12 x 1/2)) (cbrt.f64 (fma.f64 1/12 x 1/2))) (cbrt.f64 (fma.f64 1/12 x 1/2)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x 1/2)) (sqrt.f64 (fma.f64 1/12 x 1/2)) (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (reciprocal.f64 x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (reciprocal.f64 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (reciprocal.f64 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (reciprocal.f64 x))))
(*.f64 1 (fma.f64 1/12 x (reciprocal.f64 x)))
(*.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2) (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (reciprocal.f64 (-.f64 (*.f64 1/12 x) (reciprocal.f64 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.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 1/12 x) 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 1/12 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (reciprocal.f64 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 1/12 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (reciprocal.f64 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (reciprocal.f64 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (reciprocal.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (.f64 (exp.f64 (reciprocal.f64 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(reciprocal.f64 (/.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(fma.f64 1/12 x (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 x) 1 (reciprocal.f64 x))
(fma.f64 1 (*.f64 1/12 x) (reciprocal.f64 x))
(fma.f64 1 (reciprocal.f64 x) (*.f64 1/12 x))
(fma.f64 (reciprocal.f64 x) 1 (*.f64 1/12 x))
(fma.f64 -1 (reciprocal.f64 (neg.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (reciprocal.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (reciprocal.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (reciprocal.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (reciprocal.f64 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (reciprocal.f64 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (reciprocal.f64 x))

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in`
559×	`distribute-lft-in`
342×	`unswap-sqr`
231×	`associate-+r+`
216×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	4820
1	660	4619
2	2093	4496

Stop Event

1×	node limit

Counts

147 → 182

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.f64 0 (*.f64 1/12 x))
(+.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 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 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 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (/.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(*.f64 1 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))
(*.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2)) (reciprocal.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)) (neg.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3) (pow.f64 x -3)) (fma.f64 (fma.f64 1/12 x 1/2) (fma.f64 1/12 x 1/2) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 1/12 x 1/2) (reciprocal.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) 1/4) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2))
(/.f64 (-.f64 (*.f64 (fma.f64 1/12 x 1/2) (fma.f64 1/12 x 1/2)) (pow.f64 x -2)) (-.f64 (fma.f64 1/12 x 1/2) (reciprocal.f64 x)))
(pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))))
(log.f64 (*.f64 (exp.f64 (reciprocal.f64 x)) (exp.f64 (fma.f64 1/12 x 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (exp.f64 (fma.f64 1/12 x 1/2))))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/12 x 1/2)) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 3))
(reciprocal.f64 (/.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)))
(reciprocal.f64 (/.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(fma.f64 1/12 x (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 x 1/12 (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (*.f64 1/12 x) 1 (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 1 (*.f64 1/12 x) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 1 (reciprocal.f64 x) (fma.f64 1/12 x 1/2))
(fma.f64 1 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2)
(fma.f64 1 (fma.f64 1/12 x 1/2) (reciprocal.f64 x))
(fma.f64 (reciprocal.f64 x) 1 (fma.f64 1/12 x 1/2))
(fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1 1/2)
(fma.f64 -1 (reciprocal.f64 (neg.f64 x)) (fma.f64 1/12 x 1/2))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (fma.f64 1/12 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (reciprocal.f64 x)) (fma.f64 1/12 x 1/2))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2) (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (fma.f64 1/12 x 1/2))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) 1/2)
(fma.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (reciprocal.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x))) 1/2)
(fma.f64 (fma.f64 1/12 x 1/2) 1 (reciprocal.f64 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (fma.f64 1/12 x 1/2))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (fma.f64 1/12 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/12 x 1/2)) (cbrt.f64 (fma.f64 1/12 x 1/2))) (cbrt.f64 (fma.f64 1/12 x 1/2)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x 1/2)) (sqrt.f64 (fma.f64 1/12 x 1/2)) (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (reciprocal.f64 x) 1/2))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (reciprocal.f64 x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (reciprocal.f64 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (reciprocal.f64 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (reciprocal.f64 x))))
(*.f64 1 (fma.f64 1/12 x (reciprocal.f64 x)))
(*.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2) (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (reciprocal.f64 (-.f64 (*.f64 1/12 x) (reciprocal.f64 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.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 1/12 x) 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 1/12 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (reciprocal.f64 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 1/12 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (reciprocal.f64 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (reciprocal.f64 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (reciprocal.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (.f64 (exp.f64 (reciprocal.f64 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(reciprocal.f64 (/.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(fma.f64 1/12 x (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 x) 1 (reciprocal.f64 x))
(fma.f64 1 (*.f64 1/12 x) (reciprocal.f64 x))
(fma.f64 1 (reciprocal.f64 x) (*.f64 1/12 x))
(fma.f64 (reciprocal.f64 x) 1 (*.f64 1/12 x))
(fma.f64 -1 (reciprocal.f64 (neg.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (reciprocal.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (reciprocal.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (reciprocal.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (reciprocal.f64 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (reciprocal.f64 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (reciprocal.f64 x))

Outputs
(/.f64 1 x)
(reciprocal.f64 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (reciprocal.f64 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(fma.f64 x 1/12 1/2)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(fma.f64 x 1/12 1/2)
(/.f64 1 x)
(reciprocal.f64 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 0 (*.f64 1/12 x))
(*.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 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(*.f64 x 1/12)
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))) 1)
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (/.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) -1/4) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2))
(*.f64 1 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(*.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) 1)
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2))
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(+.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x)))
(+.f64 (reciprocal.f64 x) (fma.f64 x 1/12 1/2))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2)) (reciprocal.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x)))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) -1/4) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))) (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) -1/4) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 1/12 x (reciprocal.f64 x))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (reciprocal.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 2) -1/4) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/8)) (neg.f64 (fma.f64 (fma.f64 1/12 x (reciprocal.f64 x)) (-.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1/2) 1/4)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (reciprocal.f64 (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) 3) 1/8) (fma.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) (+.f64 (fma.f64 x 1/12 (reciprocal.f64 x)) -1/2) 1/4))
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(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 x 1/12) (reciprocal.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (reciprocal.f64 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 1/12 x) x)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (fma.f64 (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 1/12 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (reciprocal.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 x 1/12) (reciprocal.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (reciprocal.f64 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 1/12 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 x 1/12) (reciprocal.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (reciprocal.f64 x)))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (reciprocal.f64 x) (.f64 1/12 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 x 1/12) (reciprocal.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (reciprocal.f64 x)))
(pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 1)
(fma.f64 x 1/12 (reciprocal.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 3)
(fma.f64 x 1/12 (reciprocal.f64 x))
(pow.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3) 1/3)
(fma.f64 x 1/12 (reciprocal.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 2)
(fma.f64 x 1/12 (reciprocal.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 2))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (exp.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (reciprocal.f64 x)))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (.f64 (exp.f64 (reciprocal.f64 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (pow.f64 (exp.f64 x) 1/12)))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (reciprocal.f64 x)) 3))
(fma.f64 x 1/12 (reciprocal.f64 x))
(reciprocal.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1/12 (/.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (reciprocal.f64 (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(reciprocal.f64 (/.f64 (-.f64 (.f64 1/12 x) (reciprocal.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 x 1/12) (reciprocal.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (reciprocal.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(exp.f64 (log.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (reciprocal.f64 x))) 1))
(fma.f64 x 1/12 (reciprocal.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (reciprocal.f64 x))))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 1/12 x (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 x) 1 (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 1 (*.f64 1/12 x) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 1 (reciprocal.f64 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (reciprocal.f64 x) 1 (*.f64 1/12 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 -1 (reciprocal.f64 (neg.f64 x)) (*.f64 1/12 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (reciprocal.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (reciprocal.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 x) 2)) (reciprocal.f64 (cbrt.f64 x)) (*.f64 x 1/12))
(+.f64 (*.f64 x 1/12) (/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) (*.f64 x 1/12))
(+.f64 (*.f64 x 1/12) (pow.f64 (sqrt.f64 x) -2))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (reciprocal.f64 x))
(fma.f64 x 1/12 (reciprocal.f64 x))

eval102.0ms (2.2%)

Compiler: Compiled 2585 to 1801 computations (30.3% saved)

prune32.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	182	8	190

Accuracy

100.0%

Counts

190 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2

Compiler

Compiled 84 to 66 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune9.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	67.9%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	27.4%	(+.f64 (reciprocal.f64 x) 1/2)
✓	67.2%	(+.f64 1/2 (/.f64 1 x))
✓	67.3%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	28.4%	(reciprocal.f64 x)
	3.0%	1/2

Compiler

Compiled 84 to 61 computations (27.4% saved)

regimes15.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	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 55 to 36 computations (34.5% saved)

regimes8.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
67.9%	1	`x`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(reciprocal.f64 x)

Outputs
(reciprocal.f64 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
28.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

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	17	58
1	24	58
2	26	58
3	27	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

soundness462.0ms (10.2%)

Rules

622×	`distribute-lft-in`
473×	`fma-neg`
455×	`div-sub`
389×	`times-frac`
350×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	47	102
3	70	102
4	138	80
5	444	80
6	2268	80
7	4599	76
0	213	2383
1	516	2297
2	1390	2253
3	5454	1987
0	213	2383
1	516	2297
2	1390	2253
3	5454	1987
0	213	2383
1	516	2297
2	1390	2253
3	5454	1987

Stop Event

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

Compiler

Compiled 183 to 101 computations (44.8% saved)

end0.0ms (0%)

preprocess96.0ms (2.1%)

Compiler: Compiled 64 to 46 computations (28.1% saved)

analyze168.0ms (3.7%)

sample2.4s (53.3%)

preprocess133.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.5%)

series5.0ms (0.1%)

rewrite176.0ms (3.9%)

simplify85.0ms (1.9%)

eval35.0ms (0.8%)

prune38.0ms (0.8%)

localize61.0ms (1.4%)

series9.0ms (0.2%)

rewrite111.0ms (2.4%)

simplify128.0ms (2.8%)

eval125.0ms (2.8%)

prune53.0ms (1.2%)

localize40.0ms (0.9%)

series6.0ms (0.1%)

rewrite97.0ms (2.1%)

simplify74.0ms (1.6%)

eval102.0ms (2.2%)

prune32.0ms (0.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune9.0ms (0.2%)

regimes15.0ms (0.3%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness462.0ms (10.2%)

end0.0ms (0%)

preprocess96.0ms (2.1%)

Profiling