Metrics for Kahan's exp quotient

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

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

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

sample2.0s (46%)

Results

646.0ms	2953×	256	valid
592.0ms	2064×	1024	valid
355.0ms	2056×	256	infinite
261.0ms	1034×	512	valid
41.0ms	148×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 623.0ms

Operation ival-exp, time spent: 376.0ms, 60.0% of total-time

Operation ival-div, time spent: 133.0ms, 21.0% of total-time

Operation ival-sub, time spent: 92.0ms, 15.0% of total-time

Operation const, time spent: 22.0ms, 4.0% of total-time

Bogosity

preprocess301.0ms (6.8%)

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
144	-	-	`(-.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: 110.0ms

Operation ival-div, time spent: 79.0ms, 72.0% of total-time

Operation ival-exp, time spent: 19.0ms, 17.0% of total-time

Operation ival-sub, time spent: 10.0ms, 9.0% of total-time

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

localize49.0ms (1.1%)

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: 14.0ms, 47.0% 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)

rewrite227.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

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

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

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 113

Calls

Call 1

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

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

eval317.0ms (7.2%)

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

prune23.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	5	114

Accuracy

100.0%

Counts

114 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	68.1%	(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
▶	57.1%	(+.f64 1 (*.f64 1/2 x))
▶	57.5%	(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
▶	56.8%	1

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize225.0ms (5.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
✓	99.8%	(*.f64 1/6 (pow.f64 x 2))
✓	99.9%	(/.f64 (sqrt.f64 (expm1.f64 x)) x)
✓	99.8%	(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))

Compiler

Compiled 70 to 43 computations (38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

Operation composed, time spent: 73.0ms, 35.0% of total-time

Operation ival-sub, time spent: 62.0ms, 30.0% of total-time

Operation ival-mult, time spent: 25.0ms, 12.0% of total-time

Operation ival-pow, time spent: 13.0ms, 6.0% of total-time

Operation ival-add, time spent: 10.0ms, 5.0% of total-time

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

Operation ival-sqrt, time spent: 8.0ms, 4.0% of total-time

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

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

series13.0ms (0.3%)

Counts

4 → 23

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
2.0ms	x	@	-inf	(/.f64 (sqrt.f64 (expm1.f64 x)) x)
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (expm1.f64 x)) x)
1.0ms	x	@	0	(/.f64 (sqrt.f64 (expm1.f64 x)) x)
1.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 2))

rewrite117.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`log-prod`
978×	`log1p-expm1-u`
977×	`expm1-log1p-u`
628×	`fma-define`
334×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	81
1	206	81
2	2745	81

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))

Outputs
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) (neg.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) 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) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3) (pow.f64 (expm1.f64 x) 3/2)))
(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))
(+.f64 0 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(*.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (cbrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 (pow.f64 (expm1.f64 x) 1/4) x))
(.f64 (pow.f64 (expm1.f64 x) 1/4) (.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) x))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) x))
(sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1))
(+.f64 0 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/36) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))))
(.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2)) 1)
(.f64 1 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2)))
(.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))))))
(.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4))) (/.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))) (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x)) (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 1/6 (.f64 (pow.f64 x 2) (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4))) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4)))) (neg.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) 1/36)) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2)))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (exp.f64 1/6) (pow.f64 x 2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 (.f64 1/6 (pow.f64 x 2)) 1 (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 x 1/2) 1 (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/6 x) x (.f64 x 1/2))
(fma.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1406×	`unswap-sqr`
1060×	`times-frac`
798×	`distribute-lft-in`
576×	`log-prod`
408×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	5159
1	780	4916
2	2576	4668

Stop Event

1×	node limit

Counts

164 → 179

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 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 1/2 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) (neg.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) 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) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3) (pow.f64 (expm1.f64 x) 3/2)))
(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))
(+.f64 0 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(*.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (cbrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 (pow.f64 (expm1.f64 x) 1/4) x))
(.f64 (pow.f64 (expm1.f64 x) 1/4) (.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) x))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) x))
(sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1))
(+.f64 0 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/36) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))))
(.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2)) 1)
(.f64 1 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2)))
(.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))))))
(.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4))) (/.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))) (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x)) (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 1/6 (.f64 (pow.f64 x 2) (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4))) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4)))) (neg.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) 1/36)) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2)))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (exp.f64 1/6) (pow.f64 x 2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 (.f64 1/6 (pow.f64 x 2)) 1 (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 x 1/2) 1 (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/6 x) x (.f64 x 1/2))
(fma.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 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 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 1 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (.f64 x (+.f64 (.f64 x 1/6) 1/2))))
(/.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 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
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(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) -1/12))))
(/.f64 1 (/.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x)) (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4)))))
(-.f64 (.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))) (.f64 (pow.f64 x 2) (/.f64 1/4 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))))
(fma.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2))) (/.f64 (.f64 (pow.f64 x 2) -1/4) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 (pow.f64 x 2) -1/6 (.f64 1/2 x)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (.f64 x (.f64 1/2 (-.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 1/2 (.f64 x (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/6))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) -1/12))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 1/6 (.f64 (pow.f64 x 2) (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 -1/6 (.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 3) 1/12))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (pow.f64 x 3) -1/12))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4))) (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x)))
(-.f64 (.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))) (.f64 (pow.f64 x 2) (/.f64 1/4 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))))
(fma.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2))) (/.f64 (.f64 (pow.f64 x 2) -1/4) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 (pow.f64 x 2) -1/6 (.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2)))))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (.f64 x (.f64 1/2 (-.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 1/2 (.f64 x (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/6))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) -1/12))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (neg.f64 (.f64 (pow.f64 x 2) 1/4)))) (neg.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 -1/2 x))))
(-.f64 (.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))) (.f64 (pow.f64 x 2) (/.f64 1/4 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))))
(fma.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2))) (/.f64 (.f64 (pow.f64 x 2) -1/4) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 (pow.f64 x 2) -1/6 (.f64 1/2 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) 1/36)) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(-.f64 (.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))) (.f64 (pow.f64 x 2) (/.f64 1/4 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2)))))
(fma.f64 (pow.f64 x 4) (/.f64 1/36 (fma.f64 1/6 (pow.f64 x 2) (.f64 x -1/2))) (/.f64 (.f64 (pow.f64 x 2) -1/4) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 (pow.f64 x 2) -1/6 (.f64 1/2 x)))
(pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 1)
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 3)
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 3) 1/3)
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) 2)
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2)))) (pow.f64 (exp.f64 1/2) x)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 x 2))))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (exp.f64 1/6) (pow.f64 x 2))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 2))))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) 3))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 2) (.f64 x 1/2))) 1))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (.f64 1/6 (pow.f64 x 2)) 1 (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (.f64 1/2 x))
(fma.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (.f64 1/6 x) x (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (.f64 1/2 x))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))

eval96.0ms (2.2%)

Compiler: Compiled 2653 to 1706 computations (35.7% saved)

prune22.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	179	5	184

Accuracy

100.0%

Counts

184 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	68.1%	(+.f64 1 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
✓	57.1%	(+.f64 1 (*.f64 1/2 x))
✓	57.5%	(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
✓	56.8%	1

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize55.0ms (1.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
✓	99.5%	(*.f64 x 1/6)

Compiler

Compiled 30 to 23 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-mult, time spent: 10.0ms, 55.0% of total-time

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

Operation const, time spent: 2.0ms, 11.0% of total-time

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
1.0ms	x	@	0	(*.f64 x 1/6)
1.0ms	x	@	0	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
1.0ms	x	@	-inf	(*.f64 x 1/6)

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`unpow-prod-down`
626×	`prod-diff`
546×	`log-prod`
527×	`log1p-expm1-u`
527×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	109	31
2	1475	31

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs
(+.f64 (.f64 x 1/12) (.f64 x 1/12))
(+.f64 0 (*.f64 x 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 1/6))) 2)) (cbrt.f64 (log.f64 (.f64 x 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 1/6)))) (sqrt.f64 (log.f64 (.f64 x 1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/6))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/6))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3))
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) 1) (.f64 (.f64 x 1/2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 6)) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/36 -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) x) (fma.f64 x 1/6 -1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/6 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/6 1/2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (.f64 (log.f64 x) 1)))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (.f64 1/6 (pow.f64 x 2)) 1 (.f64 (*.f64 x 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) 2) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))

simplify117.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`fma-define`
890×	`fma-neg`
606×	`log-prod`
530×	`sqr-pow`
520×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2823
1	550	2365
2	1494	2341
3	5368	2341

Stop Event

1×	node limit

Counts

111 → 110

Calls

Call 1

Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 x 1/12) (.f64 x 1/12))
(+.f64 0 (*.f64 x 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 1/6))) 2)) (cbrt.f64 (log.f64 (.f64 x 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 1/6)))) (sqrt.f64 (log.f64 (.f64 x 1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/6))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/6))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3))
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) 1) (.f64 (.f64 x 1/2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 6)) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/36 -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) x) (fma.f64 x 1/6 -1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/6 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/6 1/2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (.f64 (log.f64 x) 1)))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 (.f64 1/6 (pow.f64 x 2)) 1 (.f64 (*.f64 x 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) 2) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))

Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 x 1/12) (.f64 x 1/12))
(*.f64 1/6 x)
(+.f64 0 (*.f64 x 1/6))
(*.f64 1/6 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) x))) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(*.f64 1/6 x)
(pow.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(*.f64 1/6 x)
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(*.f64 1/6 x)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 1/6))) 2)) (cbrt.f64 (log.f64 (.f64 x 1/6))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/6 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/6 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 1/6)))) (sqrt.f64 (log.f64 (.f64 x 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/6 x)))) (sqrt.f64 (log.f64 (.f64 1/6 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(*.f64 1/6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(*.f64 1/6 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/6))) 3))
(*.f64 1/6 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 1/6))) 1/3))
(*.f64 1/6 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 1/6))) 2))
(*.f64 1/6 x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 1) 1))
(*.f64 1/6 x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3))
(*.f64 1/6 x)
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) 1) (.f64 (.f64 x 1/2) 1))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/6 x 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 6)) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 1/216 (pow.f64 x 6))) (+.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/6 (*.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 1/216 1/8)) (fma.f64 1/36 (pow.f64 x 4) (.f64 (pow.f64 x 2) (-.f64 1/4 (.f64 1/6 (.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 1/216 (pow.f64 x 6))) (fma.f64 1/36 (pow.f64 x 4) (.f64 (pow.f64 x 2) (-.f64 1/4 (.f64 1/6 (.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/6 (pow.f64 x 2)) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12)))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12))))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x -1/12))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 x -1/12 (fma.f64 (pow.f64 x 2) 1/36 1/4))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/36 -1/4)) (fma.f64 x 1/6 -1/2))
(*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (/.f64 x (fma.f64 x 1/6 -1/2)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (/.f64 x (fma.f64 1/6 x -1/2)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 1/6 x -1/2)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12)))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x 1/12))))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (+.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (.f64 x -1/12))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 x -1/12 (fma.f64 (pow.f64 x 2) 1/36 1/4))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) x) (fma.f64 x 1/6 -1/2))
(*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (/.f64 x (fma.f64 x 1/6 -1/2)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (/.f64 x (fma.f64 1/6 x -1/2)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 1/6 x -1/2)))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2) 1/2)
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 1/6 x 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 1/6 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 1/6 x 1/2))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 1/6 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 3))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2)))) 2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/6 1/2))))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/6 1/2)) (*.f64 (log.f64 x) 1)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (log.f64 x)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (.f64 (log.f64 x) 1)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 1 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 1/6 (pow.f64 x 2)) 1 (.f64 (*.f64 x 1/2) 1))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) 2) (cbrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))
(*.f64 x (fma.f64 1/6 x 1/2))

eval41.0ms (0.9%)

Compiler: Compiled 1641 to 1324 computations (19.3% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	110	5	115

Accuracy

100.0%

Counts

115 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	68.1%	(+.f64 1 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
✓	57.1%	(+.f64 1 (*.f64 1/2 x))
✓	57.5%	(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
✓	56.8%	1

Compiler

Compiled 79 to 54 computations (31.6% saved)

regimes8.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
57.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	28	65

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
(+.f64 1 (*.f64 1/2 x))
1

Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
1

Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness451.0ms (10.2%)

Rules

1916×	`fma-neg`
1406×	`unswap-sqr`
1192×	`div-sub`
1060×	`times-frac`
824×	`cancel-sign-sub-inv`

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	340	5159
1	780	4916
2	2576	4668

Stop Event

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

Compiler

Compiled 119 to 82 computations (31.1% saved)

end0.0ms (0%)

preprocess53.0ms (1.2%)

Compiler: Compiled 100 to 70 computations (30% saved)

analyze2.0ms (0%)

sample2.0s (46%)

preprocess301.0ms (6.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize49.0ms (1.1%)

series3.0ms (0.1%)

rewrite227.0ms (5.2%)

simplify60.0ms (1.4%)

eval317.0ms (7.2%)

prune23.0ms (0.5%)

localize225.0ms (5.1%)

series13.0ms (0.3%)

rewrite117.0ms (2.6%)

simplify85.0ms (1.9%)

eval96.0ms (2.2%)

prune22.0ms (0.5%)

localize55.0ms (1.2%)

series5.0ms (0.1%)

rewrite79.0ms (1.8%)

simplify117.0ms (2.7%)

eval41.0ms (0.9%)

prune16.0ms (0.4%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness451.0ms (10.2%)

end0.0ms (0%)

preprocess53.0ms (1.2%)

Profiling