Details

analyze109.0ms (3.2%)

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
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample2.2s (65.8%)

Results

1.4s	2786×	body	1024	valid
451.0ms	1326×	body	512	valid
285.0ms	3854×	body	256	valid
80.0ms	290×	body	2048	valid
41.0ms	3×	body	2048	infinite
0.0ms	3×	body	256	unsamplable

Bogosity

preprocess13.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`pow1`
1268×	`add-exp-log`
1268×	`log1p-expm1-u`
1266×	`expm1-log1p-u`
1238×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	137	15
2	1723	15

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1042×	`fma-def`
1032×	`associate-r`
918×	`associate-l`
576×	`distribute-lft-neg-out`
558×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	690
1	223	690
2	664	690
3	4318	690

Stop Event

1×	node limit

Counts

42 → 45

Calls

Call 1

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

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

eval7.0ms (0.2%)

Compiler: Compiled 452 to 207 computations (54.2% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Accurracy

100.0%

Counts

46 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	64.2%	(/.f64 1 x)
▶	64.8%	(+.f64 (/.f64 1 x) 1/2)
▶	65.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	64.9%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
▶	27.8%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 92 to 72 computations (21.7% saved)

localize11.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0.1%)

Counts

2 → 9

Calls

6 calls:

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

rewrite57.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`pow1`
1596×	`add-exp-log`
1596×	`log1p-expm1-u`
1596×	`expm1-log1p-u`
1564×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	172	22
2	2217	22

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1708×	`fma-neg`
1078×	`div-sub`
870×	`associate-r`
840×	`associate-l`
758×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1257
1	255	1143
2	885	1117
3	5434	1093

Stop Event

1×	node limit

Counts

55 → 59

Calls

Call 1

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

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

localize2.0ms (0.1%)

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

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize22.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
	99.5%	(*.f64 1/12 x)
✓	99.5%	(*.f64 -1/720 (pow.f64 x 3))

Compiler

Compiled 56 to 43 computations (23.2% saved)

series2.0ms (0.1%)

Counts

2 → 11

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
0.0ms	x	@	-inf	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

rewrite83.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`fma-def`
1386×	`log-prod`
614×	`fma-neg`
578×	`expm1-udef`
572×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	347	48
2	4578	48

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Outputs
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(*.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)))
(*.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 2) (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8) (/.f64 1 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (/.f64 1 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8) (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8)) (neg.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))) (neg.f64 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) 3) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 -1/720 (pow.f64 x 3) 1/2) (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (*.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) 1/4) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2))
(/.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 -1/720 (pow.f64 x 3) 1/2) (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 x 1/12 (/.f64 1 x))))
(pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(exp.f64 (log.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(fma.f64 -1/720 (pow.f64 x 3) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 x (.f64 (.f64 x x) -1/720) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (pow.f64 x 3) -1/720 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3)) 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2)
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (+.f64 (/.f64 1 x) 1/2))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1 1/2)
(fma.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (.f64 x (cbrt.f64 -1/720)) (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (.f64 x x) (.f64 x -1/720) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/720) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400))) 1/2)
(fma.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x 1/12) (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) 1 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 (/.f64 1 x) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 (/.f64 1 x) 1/2))
(fma.f64 (.f64 -1/720 x) (.f64 x x) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (.f64 -1/720 (.f64 x x)) x (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))

simplify92.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1728×	`fma-def`
1150×	`distribute-lft-in`
1144×	`distribute-rgt-in`
500×	`associate-+r+`
442×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4325
1	557	4061
2	1589	3999
3	7937	3999

Stop Event

1×	node limit

Counts

95 → 125

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(*.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)))
(*.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 2) (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8) (/.f64 1 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (/.f64 1 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8) (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8) (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/8)) (neg.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))) (neg.f64 (-.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) 3) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 -1/720 (pow.f64 x 3) 1/2) (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (*.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2) 1/4) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2))
(/.f64 (fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 -1/720 (pow.f64 x 3) 1/2) (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (-.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 x 1/12 (/.f64 1 x))))
(pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(exp.f64 (log.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))))
(fma.f64 -1/720 (pow.f64 x 3) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 x (.f64 (.f64 x x) -1/720) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (pow.f64 x 3) -1/720 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3)) 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1/2)
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (+.f64 (/.f64 1 x) 1/2))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1 (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1 1/2)
(fma.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (.f64 x (cbrt.f64 -1/720)) (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (.f64 x x) (.f64 x -1/720) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/720) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400))) 1/2)
(fma.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x 1/12) (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) 1 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 (/.f64 1 x) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 (/.f64 1 x) 1/2))
(fma.f64 (.f64 -1/720 x) (.f64 x x) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (.f64 -1/720 (.f64 x x)) x (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 x 1/12 (*.f64 -1/720 (pow.f64 x 3))))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(+.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(*.f64 -1/720 (pow.f64 x 3))
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(fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/518400))) 1/2)
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400))) 1/2)
(+.f64 1/2 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/720 (fma.f64 x 1/12 (/.f64 1 x)))))))
(fma.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x 1/12) (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (-.f64 (.f64 (.f64 x x) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x 1/12) (/.f64 1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(fma.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) (/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) 1/2)
(+.f64 1/2 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (fma.f64 -1/720 (pow.f64 x 3) (+.f64 (/.f64 -1 x) (.f64 x -1/12)))))
(fma.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2) 1 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)))) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 (/.f64 1 x) 1/2))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12))) (+.f64 (/.f64 1 x) 1/2))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (.f64 -1/720 x) (.f64 x x) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (.f64 -1/720 (.f64 x x)) x (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(fma.f64 (*.f64 -1/720 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(+.f64 1/2 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (fma.f64 x 1/12 1/2))

localize7.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 x (log.f64 (expm1.f64 x)))
✓	97.4%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series16.0ms (0.5%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(-.f64 x (log.f64 (expm1.f64 x)))
3.0ms	x	@	-inf	(-.f64 x (log.f64 (expm1.f64 x)))
1.0ms	x	@	0	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
0.0ms	x	@	0	(-.f64 x (log.f64 (expm1.f64 x)))
0.0ms	x	@	-inf	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

rewrite59.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`pow1`
1540×	`add-exp-log`
1540×	`log1p-expm1-u`
1538×	`expm1-log1p-u`
1504×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	160	30
2	2084	30

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))

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

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1860×	`fma-def`
606×	`unswap-sqr`
568×	`times-frac`
530×	`distribute-lft-in`
524×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2106
1	479	1740
2	1676	1568

Stop Event

1×	node limit

Counts

84 → 99

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) (exp.f64 (neg.f64 (log.f64 x))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) (+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 2))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(*.f64 -1 (log.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 4)) (.f64 -1 (log.f64 x)))))
x
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
x
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(+.f64 1 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))
(+.f64 x (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(+.f64 (neg.f64 (log.f64 (expm1.f64 x))) x)
(+.f64 0 (-.f64 x (log.f64 (expm1.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(*.f64 1 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 x (log.f64 (expm1.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2))) (neg.f64 (+.f64 x (log.f64 (expm1.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 (expm1.f64 x))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x)))) (*.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x))))) (-.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 2))
(log.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(fma.f64 1 x (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))

Outputs
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) (exp.f64 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (/.f64 x x) (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) (+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (log.f64 x)))) (.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 x x))))
(fma.f64 1/2 (/.f64 x x) (fma.f64 1/12 (*.f64 x (/.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 2))))))
(fma.f64 1/2 (.f64 x (exp.f64 (neg.f64 (log.f64 x)))) (fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (pow.f64 x 4)) (+.f64 (exp.f64 (neg.f64 (log.f64 x))) (.f64 1/12 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (*.f64 x x))))))
(fma.f64 1/2 (/.f64 x x) (fma.f64 (/.f64 -1/720 x) (pow.f64 x 4) (fma.f64 1/12 (*.f64 x (/.f64 x x)) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 x)))
(fma.f64 1/2 x (neg.f64 (log.f64 x)))
(-.f64 (*.f64 x 1/2) (log.f64 x))
(fma.f64 x 1/2 (neg.f64 (log.f64 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(fma.f64 1/2 x (fma.f64 -1/24 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) -1/24 (neg.f64 (log.f64 x))))
(-.f64 (.f64 x (+.f64 1/2 (.f64 x -1/24))) (log.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2880 (pow.f64 x 4)) (.f64 -1 (log.f64 x)))))
(fma.f64 1/2 x (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/2880 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(fma.f64 x 1/2 (-.f64 (fma.f64 (.f64 x x) -1/24 (.f64 (pow.f64 x 4) 1/2880)) (log.f64 x)))
(-.f64 (fma.f64 x 1/2 (fma.f64 x (.f64 x -1/24) (.f64 (pow.f64 x 4) 1/2880))) (log.f64 x))
x
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
x
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 1 (/.f64 (expm1.f64 x) (exp.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) 1) (expm1.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (neg.f64 (log.f64 (expm1.f64 x))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 0 (-.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 1 (-.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x (log.f64 (expm1.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2))))
(-.f64 x (log.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (expm1.f64 x)) 2))) (neg.f64 (+.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 (expm1.f64 x))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x)))) (*.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 x x (*.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (log.f64 (expm1.f64 x))) (neg.f64 (log.f64 (expm1.f64 x))))) (-.f64 x (neg.f64 (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1)
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 3)
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3) 1/3)
(-.f64 x (log.f64 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)
(-.f64 x (log.f64 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 2))
(-.f64 x (log.f64 (expm1.f64 x)))
(log.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))
(-.f64 x (log.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 (expm1.f64 x))) 3))
(-.f64 x (log.f64 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(-.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 1 x (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))

eval126.0ms (3.7%)

Compiler: Compiled 6124 to 4357 computations (28.9% saved)

prune44.0ms (1.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	341	7	348

Accurracy

100.0%

Counts

348 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.2%	(/.f64 1 x)
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	65.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	64.9%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	27.8%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
▶	36.9%	(exp.f64 x)

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	64.2%	(/.f64 1 x)
✓	64.8%	(+.f64 (/.f64 1 x) 1/2)
✓	65.2%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	64.9%	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	27.8%	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓	36.9%	(exp.f64 x)

Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes11.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(exp.f64 x)
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes14.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(exp.f64 x)
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Outputs
(exp.f64 x)
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Calls

2 calls:

7.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(exp.f64 x)`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.29185709803332305

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(exp.f64 x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

2 calls:

7.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.2%	2	`(exp.f64 x)`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.29185709803332305

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.2%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.8b remaining (-3.6%)

Threshold costs -0.8b (-3.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.8%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	164
1	36	164

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 x 1/12) (/.f64 1 x)))))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)

Compiler

Compiled 66 to 49 computations (25.8% saved)

soundness158.0ms (4.6%)

Rules

1382×	`pow1`
1268×	`add-exp-log`
1268×	`log1p-expm1-u`
1266×	`expm1-log1p-u`
1238×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15
0	94	690
1	223	690
2	664	690
3	4318	690
0	7	15
1	137	15
2	1723	15

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 43 to 25 computations (41.9% saved)

end40.0ms (1.2%)

Compiler: Compiled 61 to 42 computations (31.1% saved)

Details

analyze109.0ms (3.2%)

sample2.2s (65.8%)

preprocess13.0ms (0.4%)

simplify13.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (1.5%)

simplify52.0ms (1.5%)

eval7.0ms (0.2%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite57.0ms (1.7%)

simplify66.0ms (2%)

localize2.0ms (0.1%)

localize5.0ms (0.1%)

localize22.0ms (0.6%)

series2.0ms (0.1%)

rewrite83.0ms (2.4%)

simplify92.0ms (2.7%)

localize7.0ms (0.2%)

series16.0ms (0.5%)

rewrite59.0ms (1.7%)

simplify53.0ms (1.6%)

eval126.0ms (3.7%)

prune44.0ms (1.3%)

localize2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.3%)

regimes14.0ms (0.4%)

bsearch0.0ms (0%)

regimes11.0ms (0.3%)

bsearch0.0ms (0%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

simplify6.0ms (0.2%)

soundness158.0ms (4.6%)

end40.0ms (1.2%)

Profiling