Metrics for Kahan's exp quotient

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

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

sample1.6s (32.4%)

Results

277.0ms	2942×	256	valid
213.0ms	2084×	256	infinite
780.0ms	2051×	1024	valid
202.0ms	1038×	512	valid
40.0ms	140×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 765.0ms

Operation ival-exp, time spent: 487.0ms, 64.0% of total-time

Operation ival-sub, time spent: 128.0ms, 17.0% of total-time

Operation ival-div, time spent: 127.0ms, 17.0% of total-time

Operation const, time spent: 23.0ms, 3.0% of total-time

Bogosity

preprocess234.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1916×	`fma-neg`
1192×	`div-sub`
824×	`cancel-sign-sub-inv`
746×	`distribute-lft-neg-in`
690×	`associate-/r*`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	43	80
2	88	80
3	244	80
4	686	80
5	1716	80
6	4614	80
7	7686	80

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 39 to 23 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-exp, time spent: 18.0ms, 44.0% of total-time

Operation ival-sub, time spent: 11.0ms, 27.0% of total-time

Operation ival-div, time spent: 10.0ms, 24.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

localize43.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

Operation composed, time spent: 14.0ms, 46.0% of total-time

Operation ival-exp, time spent: 9.0ms, 29.0% of total-time

Operation ival-div, time spent: 4.0ms, 13.0% of total-time

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

Operation const, time spent: 1.0ms, 3.0% of total-time

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite178.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`unpow-prod-down`
362×	`cbrt-prod`
360×	`log-prod`
332×	`log1p-expm1-u`
331×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	68	17
2	890	17

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

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

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-define`
826×	`times-frac`
716×	`distribute-lft-in`
700×	`unswap-sqr`
668×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2452
1	545	2373
2	1732	2309

Stop Event

1×	node limit

Counts

85 → 113

Calls

Call 1

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

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

eval23.0ms (0.5%)

Compiler: Compiled 1285 to 576 computations (55.2% saved)

prune27.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Accuracy

100.0%

Counts

114 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) (sqrt.f64 x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	78.3%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	49.7%	(+.f64 1 (*.f64 1/2 x))
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	48.9%	1

Compiler

Compiled 73 to 55 computations (24.7% saved)

localize157.0ms (3.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) (sqrt.f64 x))
✓	99.9%	(*.f64 (pow.f64 x -1/2) (expm1.f64 x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 73 to 37 computations (49.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

Operation ival-pow, time spent: 27.0ms, 34.0% of total-time

Operation ival-div, time spent: 12.0ms, 15.0% of total-time

Operation ival-mult, time spent: 11.0ms, 14.0% of total-time

Operation composed, time spent: 8.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 6.0% of total-time

Operation ival-add, time spent: 5.0ms, 6.0% of total-time

Operation const, time spent: 4.0ms, 5.0% of total-time

Operation ival-exp, time spent: 4.0ms, 5.0% of total-time

Operation ival-sub, time spent: 4.0ms, 5.0% of total-time

series10.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

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

rewrite154.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`fma-define`
1077×	`log1p-expm1-u`
1076×	`expm1-log1p-u`
524×	`fma-neg`
162×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	276	72
2	3650	72

Stop Event

1×	node limit

Counts

4 → 426

Calls

Call 1

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

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

simplify355.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-neg`
858×	`div-sub`
670×	`log-prod`
518×	`cube-prod`
490×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	13866
1	904	13312
2	3777	13300

Stop Event

1×	node limit

Counts

462 → 229

Calls

Call 1

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

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

eval170.0ms (3.4%)

Compiler: Compiled 4960 to 2431 computations (51% saved)

prune125.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	340	2	342
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	343	5	348

Accuracy

100.0%

Counts

348 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	49.7%	(+.f64 1 (*.f64 1/2 x))
✓	48.9%	1

Compiler

Compiled 29 to 20 computations (31% saved)

localize56.0ms (1.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	99.8%	(/.f64 (expm1.f64 x) (sqrt.f64 x))
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	100.0%	(/.f64 x (expm1.f64 x))

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation composed, time spent: 8.0ms, 28.0% of total-time

Operation ival-div, time spent: 7.0ms, 24.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 21.0% of total-time

Operation ival-exp, time spent: 4.0ms, 14.0% of total-time

Operation ival-sub, time spent: 2.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series22.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(/.f64 x (expm1.f64 x))
2.0ms	x	@	-inf	(/.f64 x (expm1.f64 x))
2.0ms	x	@	-inf	(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	0	(/.f64 x (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 x) (sqrt.f64 x))

rewrite114.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`log-prod`
730×	`log1p-expm1-u`
729×	`expm1-log1p-u`
502×	`pow-prod-down`
360×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	171	72
2	2361	72

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

Inputs
(/.f64 x (expm1.f64 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

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

simplify292.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

730×	`log-prod`
518×	`exp-prod`
426×	`div-sub`
414×	`cube-prod`
380×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	459	8233
1	1070	7937
2	3628	7937

Stop Event

1×	node limit

Counts

306 → 266

Calls

Call 1

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

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

eval107.0ms (2.2%)

Compiler: Compiled 3301 to 1452 computations (56% saved)

prune34.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	265	1	266
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	265	6	271

Accuracy

100.0%

Counts

271 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	52.5%	(/.f64 1 (+.f64 1 (*.f64 -1/2 x)))
✓	49.7%	(+.f64 1 (*.f64 1/2 x))
✓	48.9%	1

Compiler

Compiled 37 to 27 computations (27% saved)

localize39.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

Operation ival-mult, time spent: 6.0ms, 46.0% of total-time

Operation ival-add, time spent: 3.0ms, 23.0% of total-time

Operation ival-div, time spent: 2.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`unpow-prod-down`
484×	`prod-diff`
471×	`log1p-expm1-u`
471×	`expm1-log1p-u`
466×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	109	18
2	1363	18

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

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

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1124×	`fma-neg`
1086×	`associate-r`
1044×	`associate-l`
632×	`exp-prod`
542×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1766
1	466	1671
2	1204	1647
3	5831	1628

Stop Event

1×	node limit

Counts

60 → 96

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(+.f64 0 (/.f64 1 (fma.f64 -1/2 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) (log.f64 (E.f64)))
(.f64 -1 (/.f64 1 (+.f64 -1 (.f64 1/2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 1) -1))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) 1) -1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 -1/2 x) (fma.f64 -1/2 x -1) 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (pow.f64 (/.f64 1 (fma.f64 (.f64 -1/2 x) (fma.f64 -1/2 x -1) 1)) -1))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (+.f64 1 (*.f64 1/2 x)))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 -1/2 x 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 -1/2 x 1) -2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2)))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -2)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(pow.f64 (neg.f64 (+.f64 -1 (*.f64 1/2 x))) -1)
(pow.f64 (exp.f64 -1) (log1p.f64 (*.f64 -1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x))))) (sqrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x)))))
(neg.f64 (/.f64 -1 (fma.f64 -1/2 x 1)))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x 1) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (*.f64 -1/2 x))) 2))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/4 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/4 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/4 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 2))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))) (/.f64 16 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x)) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 16 (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 2))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))) (/.f64 16 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x)) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 16 (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))
(+.f64 0 (/.f64 1 (fma.f64 -1/2 x 1)))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 1/2 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) (log.f64 (E.f64)))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(.f64 -1 (/.f64 1 (+.f64 -1 (.f64 1/2 x))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 1) -1))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) 1) -1))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 -1/2 x) (fma.f64 -1/2 x -1) 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 x -1/2) (fma.f64 -1/2 x -1) 1))
(/.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 -1) 1) (fma.f64 (pow.f64 x 3) -1/8 1))
(/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) -1/8 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (pow.f64 (/.f64 1 (fma.f64 (.f64 -1/2 x) (fma.f64 -1/2 x -1) 1)) -1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 x -1/2) (fma.f64 -1/2 x -1) 1))
(/.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 -1) 1) (fma.f64 (pow.f64 x 3) -1/8 1))
(/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) -1/8 1))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (+.f64 1 (*.f64 1/2 x)))
(.f64 (+.f64 1 (.f64 1/2 x)) (/.f64 1 (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))))
(/.f64 (fma.f64 1/2 x 1) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(/.f64 (fma.f64 1/2 x 1) (fma.f64 (pow.f64 x 2) -1/4 1))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 x))) -1))
(.f64 (+.f64 1 (.f64 1/2 x)) (/.f64 1 (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))))
(/.f64 (fma.f64 1/2 x 1) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(/.f64 (fma.f64 1/2 x 1) (fma.f64 (pow.f64 x 2) -1/4 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) 3))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 -1/2 x 1)))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 -1/2 x 1) -2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))))
(.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -2) (pow.f64 (fma.f64 -1/2 x 1) -2))))
(.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2) (pow.f64 (fma.f64 x -1/2 1) -2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2)))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -3)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -2) 1/2)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -3) 1/3)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 2) -1/2)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/6))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -2)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(pow.f64 (neg.f64 (+.f64 -1 (*.f64 1/2 x))) -1)
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (exp.f64 -1) (log1p.f64 (*.f64 -1/2 x)))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x))))) (sqrt.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2))))) (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(neg.f64 (/.f64 -1 (fma.f64 -1/2 x 1)))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -3))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x 1)))) 3))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x 1) -3)) 1/3))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (*.f64 -1/2 x))) 2))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))

eval32.0ms (0.7%)

Compiler: Compiled 1229 to 1051 computations (14.5% saved)

prune28.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	95	7	102

Accuracy

100.0%

Counts

102 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	52.5%	(/.f64 1 (+.f64 1 (*.f64 -1/2 x)))
	6.5%	(/.f64 -2 x)
✓	49.7%	(+.f64 1 (*.f64 1/2 x))
✓	48.9%	1

Compiler

Compiled 105 to 67 computations (36.2% saved)

regimes12.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
53.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
52.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch83.0ms (1.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
83.0ms	-2.788153630332906	-0.019127075127442716

Results

81.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 95 to 78 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

Operation ival-sub, time spent: 70.0ms, 96.0% of total-time

Operation ival-exp, time spent: 2.0ms, 3.0% of total-time

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

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

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-2.788153630332906	-0.019127075127442716

Results

12.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 67 to 57 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

Operation ival-exp, time spent: 2.0ms, 57.0% of total-time

Operation ival-sub, time spent: 1.0ms, 28.0% of total-time

Operation ival-div, time spent: 1.0ms, 28.0% of total-time

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

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
4×	`+-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	101
1	35	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 1 (*.f64 -1/2 x)))
(if (<=.f64 x -3602879701896397/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 1 (*.f64 -1/2 x)))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -3602879701896397/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -3602879701896397/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 37 to 29 computations (21.6% saved)

soundness681.0ms (13.7%)

Rules

1916×	`fma-neg`
1312×	`fma-define`
1192×	`div-sub`
1077×	`log1p-expm1-u`
1076×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	43	80
2	88	80
3	244	80
4	686	80
5	1716	80
6	4614	80
7	7686	80
0	8	17
1	68	17
2	890	17
0	18	74
1	276	72
2	3650	72

Stop Event

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

Compiler

Compiled 41 to 24 computations (41.5% saved)

end0.0ms (0%)

preprocess56.0ms (1.1%)

Compiler: Compiled 126 to 90 computations (28.6% saved)

analyze2.0ms (0%)

sample1.6s (32.4%)

preprocess234.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (0.9%)

series4.0ms (0.1%)

rewrite178.0ms (3.6%)

simplify57.0ms (1.1%)

eval23.0ms (0.5%)

prune27.0ms (0.6%)

localize157.0ms (3.2%)

series10.0ms (0.2%)

rewrite154.0ms (3.1%)

simplify355.0ms (7.2%)

eval170.0ms (3.4%)

prune125.0ms (2.5%)

localize56.0ms (1.1%)

series22.0ms (0.4%)

rewrite114.0ms (2.3%)

simplify292.0ms (5.9%)

eval107.0ms (2.2%)

prune34.0ms (0.7%)

localize39.0ms (0.8%)

series2.0ms (0%)

rewrite76.0ms (1.5%)

simplify79.0ms (1.6%)

eval32.0ms (0.7%)

prune28.0ms (0.6%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch83.0ms (1.7%)

bsearch14.0ms (0.3%)

simplify64.0ms (1.3%)

soundness681.0ms (13.7%)

end0.0ms (0%)

preprocess56.0ms (1.1%)

Profiling