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: 0.0ms

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

sample2.5s (40.9%)

Results

979.0ms	3225×	1	valid
579.0ms	2384×	0	valid
430.0ms	1975×	0	infinite
430.0ms	671×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 886.0ms

Operation ival-exp, time spent: 527.0ms, 60.0% of total-time

Operation ival-sub, time spent: 175.0ms, 20.0% of total-time

Operation ival-div, time spent: 110.0ms, 12.0% of total-time

Operation backward-pass, time spent: 54.0ms, 6.0% of total-time

Operation const, time spent: 19.0ms, 2.0% of total-time

Bogosity

preprocess227.0ms (3.7%)

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
130	-	-	`(-.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: 38.0ms

Operation ival-exp, time spent: 18.0ms, 48.0% of total-time

Operation ival-sub, time spent: 10.0ms, 27.0% of total-time

Operation ival-div, time spent: 7.0ms, 19.0% 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)

prune2.0ms (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)

localize47.0ms (0.8%)

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: 30.0ms

Operation composed, time spent: 13.0ms, 44.0% of total-time

Operation ival-exp, time spent: 9.0ms, 30.0% 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

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite186.0ms (3%)

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 → 72

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 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (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) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.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 (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)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.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)) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(.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)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(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))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-define`
822×	`times-frac`
718×	`distribute-lft-in`
680×	`unswap-sqr`
668×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	2445
1	529	2366
2	1683	2302

Stop Event

1×	node limit

Counts

84 → 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 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (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) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.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 (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)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.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)) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(.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)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(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 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (fabs.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/4)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/4) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (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 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (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 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (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) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.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 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (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 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (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 (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)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.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)) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (fabs.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/4)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/4) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(.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)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (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)

eval22.0ms (0.4%)

Compiler: Compiled 1277 to 558 computations (56.3% saved)

prune15.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	4	114

Accuracy

100.0%

Counts

114 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.4%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
▶	52.3%	1

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize611.0ms (9.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (expm1.f64 x))
✓	99.8%	(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
✓	99.8%	(pow.f64 (/.f64 1 (expm1.f64 x)) -1)

Compiler

Compiled 42 to 29 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 532.0ms

Operation ival-pow, time spent: 361.0ms, 68.0% of total-time

Operation composed, time spent: 56.0ms, 11.0% of total-time

Operation ival-exp, time spent: 49.0ms, 9.0% of total-time

Operation ival-div, time spent: 33.0ms, 6.0% of total-time

Operation ival-mult, time spent: 16.0ms, 3.0% of total-time

Operation const, time spent: 6.0ms, 1.0% of total-time

Operation ival-add, time spent: 6.0ms, 1.0% of total-time

Operation ival-sub, time spent: 4.0ms, 1.0% of total-time

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`unpow-prod-down`
572×	`log-prod`
500×	`log1p-expm1-u`
499×	`expm1-log1p-u`
488×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	145	39
2	1674	39

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

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

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

866×	`distribute-lft-in`
766×	`distribute-rgt-in`
576×	`sqr-pow`
514×	`exp-prod`
468×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	3881
1	1040	3783
2	3078	3745

Stop Event

1×	node limit

Counts

211 → 239

Calls

Call 1

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

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

eval66.0ms (1.1%)

Compiler: Compiled 3008 to 1882 computations (37.4% saved)

prune34.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	238	5	243

Accuracy

100.0%

Counts

243 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.4%	(+.f64 1 (*.f64 1/2 x))
▶	52.1%	(*.f64 (/.f64 1 x) x)
✓	52.3%	1

Compiler

Compiled 28 to 21 computations (25% saved)

localize142.0ms (2.3%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

Operation ival-div, time spent: 40.0ms, 46.0% of total-time

Operation composed, time spent: 19.0ms, 22.0% of total-time

Operation ival-exp, time spent: 13.0ms, 15.0% of total-time

Operation ival-mult, time spent: 7.0ms, 8.0% of total-time

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

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`unpow-prod-down`
624×	`log-prod`
572×	`log1p-expm1-u`
571×	`expm1-log1p-u`
500×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	158	18
2	1773	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

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

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1428×	`times-frac`
1052×	`unswap-sqr`
882×	`fma-define`
870×	`associate-*r/`
742×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2561
1	680	2381
2	2089	2292

Stop Event

1×	node limit

Counts

107 → 128

Calls

Call 1

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

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

eval57.0ms (0.9%)

Compiler: Compiled 2539 to 1468 computations (42.2% saved)

prune42.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	200	7	207

Accuracy

100.0%

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
▶	56.1%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
▶	53.3%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.4%	(+.f64 1 (*.f64 1/2 x))
✓	52.1%	(*.f64 (/.f64 1 x) x)
✓	52.3%	1

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize103.0ms (1.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 1 x) 1/2)
✓	100.0%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.8%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	99.4%	(*.f64 1/12 x)

Compiler

Compiled 61 to 46 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation ival-div, time spent: 20.0ms, 47.0% of total-time

Operation ival-sub, time spent: 10.0ms, 23.0% of total-time

Operation ival-mult, time spent: 7.0ms, 16.0% of total-time

Operation ival-add, time spent: 4.0ms, 9.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

series14.0ms (0.2%)

Counts

5 → 30

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
2.0ms	x	@	0	(*.f64 1/12 x)
1.0ms	x	@	-inf	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
1.0ms	x	@	inf	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
1.0ms	x	@	inf	(*.f64 1/12 x)

rewrite194.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`log1p-expm1-u`
851×	`expm1-log1p-u`
844×	`fma-define`
540×	`fma-neg`
392×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	230	120
2	3580	120

Stop Event

1×	node limit

Counts

5 → 179

Calls

Call 1

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

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

simplify124.0ms (2%)

Algorithm

1×	egg-herbie

Rules

788×	`distribute-rgt-in`
710×	`distribute-lft-in`
388×	`sqr-pow`
358×	`exp-prod`
348×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	7532
1	1184	6699
2	3814	6591

Stop Event

1×	node limit

Counts

209 → 287

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 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 2))))))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
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 1 x)
-1/2
-1/2
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))) 1)
(*.f64 1 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (neg.f64 (fma.f64 1/12 x (/.f64 1 x))) 1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) (/.f64 1 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2 1/4)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x 1/2)))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2)
(pow.f64 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) -1)
(neg.f64 (/.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 1/12 x (/.f64 1 x))) 1/2)))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 -1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (.f64 1/12 x) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 -1 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 1/12 x (/.f64 -1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (.f64 1/12 x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 -1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (fma.f64 1/12 x (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (*.f64 1/12 x) 1 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/12 x))
(fma.f64 -1 (/.f64 -1 x) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)))) 1)
(*.f64 1 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)))
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 (/.f64 -1 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) -1/2)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (+.f64 (/.f64 -1 x) 1/2))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x (+.f64 (/.f64 1 x) -1/2)))) (cbrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 2))) (/.f64 1 (cbrt.f64 (.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) -1/2)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 (/.f64 -1 x) 1/2))))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (/.f64 -1 x) 1/2)))
(*.f64 (/.f64 -1 (+.f64 (/.f64 -1 x) 1/2)) (/.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) -1/2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2)) (/.f64 1 (cbrt.f64 (.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 (/.f64 1 x) -1/2))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) -1/8)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) 1/2))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2))) 2)
(pow.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)) -1)
(neg.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) 1/2)))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 1 x) -1/2)))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1/2))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 (/.f64 1 x) -1/2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 1 x) -1/2)))) 1))
(+.f64 (/.f64 1 x) -1/2)
(+.f64 -1/2 (/.f64 1 x))
(*.f64 1 (+.f64 (/.f64 1 x) -1/2))
(*.f64 (+.f64 (/.f64 1 x) -1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)) (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)))
(*.f64 (+.f64 (pow.f64 x -3) -1/8) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (/.f64 1 x) 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) -1/8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (pow.f64 x -2) -1/4)))
(/.f64 (+.f64 (pow.f64 x -3) -1/8) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (*.f64 (/.f64 1 x) -1/2))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) 1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1/8)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (/.f64 1 x) 1/2)))
(pow.f64 (+.f64 (/.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1/2)) 1))
(fma.f64 1 (/.f64 1 x) -1/2)
(fma.f64 (/.f64 1 x) 1 -1/2)
(fma.f64 -1 (/.f64 -1 x) -1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1/2)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) -1/2)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) -1/2)

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 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(+.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 (pow.f64 x 2) (+.f64 1/6 (.f64 x 1/24))) (fma.f64 1/2 x 1))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 72 (pow.f64 x 3)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))) (/.f64 12 (pow.f64 x 2)))
(+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))) (+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 864 (pow.f64 x 5))))
(+.f64 (/.f64 72 (pow.f64 x 3)) (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 864 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4)))) (/.f64 864 (pow.f64 x 5)))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 72 (pow.f64 x 3)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))) (/.f64 12 (pow.f64 x 2)))
(+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (.f64 12 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))) (+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 864 (pow.f64 x 5))))
(+.f64 (/.f64 72 (pow.f64 x 3)) (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 864 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4)))) (/.f64 864 (pow.f64 x 5)))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
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 1 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 1/2 x)))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/4))))
(+.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 1 (fma.f64 (pow.f64 x 3) 1/8 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 1/2 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) 1/8 (.f64 x (+.f64 1/2 (.f64 x 1/4)))))
(/.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 -2 x) (/.f64 -4 (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 (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 -2 x) (/.f64 -4 (pow.f64 x 2))) (/.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 (/.f64 4 (pow.f64 x 2)) (/.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 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.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 -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 -2 x) (/.f64 -4 (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 (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 -2 x) (/.f64 -4 (pow.f64 x 2))) (/.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 (/.f64 4 (pow.f64 x 2)) (/.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 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.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 1 x)
-1/2
-1/2
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))))
(*.f64 1 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 1)
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))) 2)
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))) 2)
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (neg.f64 (fma.f64 1/12 x (/.f64 1 x))) 1/2)))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) (/.f64 1 x))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))))
(/.f64 1 (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/12 x -1/2))) x)))
(/.f64 (/.f64 1 (*.f64 x (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))) 2)) (*.f64 x (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))))
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(+.f64 (/.f64 1 x) -1/2)
(fma.f64 (/.f64 1 x) 1 -1/2)
(+.f64 (/.f64 1 x) -1/2)
(fma.f64 -1 (/.f64 -1 x) -1/2)
(+.f64 (/.f64 1 x) -1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(+.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1/2)
(+.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1/2)
(+.f64 (/.f64 1 x) -1/2)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) -1/2)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(+.f64 -1/2 (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 -1/2 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) -1/2)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) -1/2)
(+.f64 -1/2 (pow.f64 (sqrt.f64 x) -2))

eval106.0ms (1.7%)

Compiler: Compiled 4755 to 3754 computations (21.1% saved)

prune47.0ms (0.8%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	282	5	287
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	283	11	294

Accuracy

100.0%

Counts

294 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
✓	56.1%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
✓	53.3%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
	56.1%	(/.f64 (/.f64 1 x) (+.f64 (+.f64 1/2 (/.f64 1 x)) -1))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	56.1%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
	6.9%	(/.f64 -2 x)
	62.6%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/4))))
	62.7%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	52.4%	(+.f64 1 (*.f64 1/2 x))
✓	52.3%	1

Compiler

Compiled 191 to 147 computations (23% saved)

regimes12.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/4))))
(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
(/.f64 (/.f64 1 x) (+.f64 (+.f64 1/2 (/.f64 1 x)) -1))
(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))

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

Calls

2 calls:

7.0ms	x
3.0ms	(/.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)

regimes13.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(*.f64 (/.f64 1 x) x)
(+.f64 1 (*.f64 1/2 x))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/4))))
(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
(/.f64 (/.f64 1 x) (+.f64 (+.f64 1/2 (/.f64 1 x)) -1))
(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))

Outputs
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
66.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
56.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
56.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
55.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes107.0ms (1.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

107.0ms

Results

Accuracy	Segments	Branch
52.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-437.3558510892487	-5.562057206946956e-5

Results

14.0ms	143×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 191 to 161 computations (15.7% saved)

Precisions

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

Operation ival-exp, time spent: 2.0ms, 50.0% of total-time

Operation ival-sub, time spent: 1.0ms, 25.0% of total-time

Operation ival-div, time spent: 1.0ms, 25.0% of total-time

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

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-437.3558510892487	-5.562057206946956e-5

Results

14.0ms	143×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 119 to 98 computations (17.6% saved)

Precisions

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

Operation ival-exp, time spent: 2.0ms, 49.0% of total-time

Operation ival-sub, time spent: 1.0ms, 25.0% of total-time

Operation ival-div, time spent: 1.0ms, 25.0% of total-time

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

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-437.3558510892487	-5.562057206946956e-5

Results

14.0ms	143×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 83 to 71 computations (14.5% saved)

Precisions

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

Operation ival-exp, time spent: 2.0ms, 49.0% of total-time

Operation ival-sub, time spent: 1.0ms, 24.0% of total-time

Operation ival-div, time spent: 1.0ms, 24.0% of total-time

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

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
1	47	166

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x -1) (/.f64 1 (+.f64 1 (.f64 x -1/2))) (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x -1) (/.f64 1 (+.f64 1 (.f64 x -1/2))) (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 58 to 46 computations (20.7% saved)

soundness896.0ms (14.5%)

Rules

1916×	`fma-neg`
1216×	`unpow-prod-down`
1192×	`div-sub`
851×	`log1p-expm1-u`
851×	`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	13	63
1	145	39
2	1674	39
0	15	120
1	230	120
2	3580	120
0	448	7532
1	1184	6699
2	3814	6591
0	448	7532
1	1184	6699
2	3814	6591

Stop Event

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

Compiler

Compiled 253 to 189 computations (25.3% saved)

end0.0ms (0%)

preprocess93.0ms (1.5%)

Compiler: Compiled 166 to 122 computations (26.5% saved)

analyze2.0ms (0%)

sample2.5s (40.9%)

preprocess227.0ms (3.7%)

eval0.0ms (0%)

prune2.0ms (0%)

localize47.0ms (0.8%)

series3.0ms (0.1%)

rewrite186.0ms (3%)

simplify55.0ms (0.9%)

eval22.0ms (0.4%)

prune15.0ms (0.2%)

localize611.0ms (9.9%)

series8.0ms (0.1%)

rewrite88.0ms (1.4%)

simplify96.0ms (1.6%)

eval66.0ms (1.1%)

prune34.0ms (0.5%)

localize142.0ms (2.3%)

series3.0ms (0.1%)

rewrite89.0ms (1.4%)

simplify67.0ms (1.1%)

eval57.0ms (0.9%)

prune42.0ms (0.7%)

localize103.0ms (1.7%)

series14.0ms (0.2%)

rewrite194.0ms (3.1%)

simplify124.0ms (2%)

eval106.0ms (1.7%)

prune47.0ms (0.8%)

regimes12.0ms (0.2%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes107.0ms (1.7%)

bsearch17.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch20.0ms (0.3%)

simplify5.0ms (0.1%)

soundness896.0ms (14.5%)

end0.0ms (0%)

preprocess93.0ms (1.5%)

Profiling