Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
100%	49.6%	0%	50.4%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.1s (62.6%)

Results

3.0s	4495×	body	2048	valid
708.0ms	2053×	body	1024	valid
272.0ms	990×	body	512	valid
76.0ms	718×	body	256	valid

Bogosity

preprocess14.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

16×	`sub-neg`
12×	`fma-def`
8×	`+-commutative`
6×	`associate--r+`
6×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	50	11
7	62	11
8	65	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (cos.f64 x))

Outputs
(-.f64 1 (cos.f64 x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`sub-neg`
12×	`fma-def`
8×	`+-commutative`
6×	`associate--r+`
6×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	15	11
3	22	11
4	29	11
5	39	11
6	50	11
7	62	11
8	65	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))

Outputs
(-.f64 1 (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

57.2%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	95.1%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	inf	(-.f64 1 (cos.f64 x))
0.0ms	x	@	-inf	(-.f64 1 (cos.f64 x))

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`pow1`
1278×	`add-exp-log`
1278×	`log1p-expm1-u`
1278×	`expm1-log1p-u`
1252×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/l*`
998×	`div-sub`
824×	`distribute-lft-in`
782×	`distribute-rgt-in`
724×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	800
1	231	740
2	679	670
3	3306	670

Stop Event

1×	node limit

Counts

32 → 44

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval9.0ms (0.1%)

Compiler: Compiled 491 to 309 computations (37.1% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Accurracy

100.0%

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 25 to 18 computations (28% saved)

localize36.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(.f64 1/2 (.f64 x x))
0.0ms	x	@	inf	(.f64 1/2 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/2 (.f64 x x))

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`pow1`
1024×	`add-sqr-sqrt`
976×	`add-exp-log`
976×	`log1p-expm1-u`
976×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1383	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2120×	`log-prod`
1106×	`distribute-rgt-in`
1092×	`distribute-lft-in`
768×	`associate-r`
688×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	90	299
2	319	299
3	2131	299
4	7005	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`pow1`
1626×	`add-exp-log`
1626×	`log1p-expm1-u`
1626×	`expm1-log1p-u`
1590×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	21
2	2213	21

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1178×	`log-prod`
1122×	`fma-def`
760×	`distribute-rgt-out`
676×	`distribute-rgt-in`
662×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	935
1	160	857
2	437	779
3	2079	779
4	5873	779

Stop Event

1×	node limit

Counts

27 → 33

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (.f64 1/720 (pow.f64 x 6)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
✓	99.8%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 26 to 17 computations (34.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
0.0ms	x	@	0	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
0.0ms	x	@	-inf	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

rewrite305.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`pow1`
1694×	`add-exp-log`
1694×	`log1p-expm1-u`
1694×	`expm1-log1p-u`
1656×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	225	40
2	2396	40

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 4))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (*.f64 1/2 x) x))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 1/2 x) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

902×	`fma-neg`
890×	`fma-def`
758×	`cancel-sign-sub-inv`
742×	`log-prod`
736×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1152
1	219	1106
2	1002	1086
3	4277	1078

Stop Event

1×	node limit

Counts

44 → 47

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (*.f64 1/2 x) x))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 1/2 x) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1)
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(-.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (*.f64 1/2 x) x))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 1/2 x) x) 1) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(-.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 1 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 3) (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (.f64 x (.f64 1/2 x)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (.f64 (*.f64 x x) -1/48)))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (.f64 x x) 6) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (fma.f64 (pow.f64 x 8) 1/576 (.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 x x) 1/48) 1/4))))
(/.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 -1/13824 (pow.f64 x 6)) 1/8)) (-.f64 (.f64 (pow.f64 x 8) 1/576) (.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/48 -1/4))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (pow.f64 x 8) 1/576)) (-.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))) (.f64 (pow.f64 x 8) 1/576)) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -1/576)) (fma.f64 (pow.f64 x 4) 1/24 (.f64 1/2 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 8) -1/576 (.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 4) 1/24 (.f64 1/2 (*.f64 x x))))
(pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log.f64 (exp.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(exp.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))

eval24.0ms (0.4%)

Compiler: Compiled 1235 to 851 computations (31.1% saved)

prune12.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	93	3	96

Accurracy

100.0%

Counts

96 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 25 to 17 computations (32% saved)

localize5.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize53.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	99.5%	(*.f64 x -1/24)

Compiler

Compiled 26 to 15 computations (42.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	-inf	(*.f64 x -1/24)
0.0ms	x	@	0	(*.f64 x -1/24)

rewrite94.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`pow1`
1698×	`add-exp-log`
1698×	`log1p-expm1-u`
1698×	`expm1-log1p-u`
1662×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	203	34
2	2335	34

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 x -1/24)
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))

Outputs
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1878×	`fma-def`
1502×	`log-prod`
816×	`associate-+r+`
744×	`associate-+l+`
720×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	848
1	199	848
2	755	848
3	3107	848
4	7009	848

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

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

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

eval8.0ms (0.1%)

Compiler: Compiled 420 to 259 computations (38.3% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	36	3	39

Accurracy

100.0%

Counts

39 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 30 to 19 computations (36.7% saved)

localize50.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	99.9%	(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
✓	99.8%	(.f64 x (.f64 x -1/24))
	99.5%	(*.f64 x -1/24)

Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
0.0ms	x	@	inf	(.f64 x (.f64 x -1/24))
0.0ms	x	@	0	(.f64 x (.f64 x -1/24))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))

rewrite123.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`log-prod`
1200×	`fma-def`
886×	`pow-prod-down`
532×	`pow-prod-up`
508×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	243	53
2	3273	53

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/24))
(.f64 (.f64 x (.f64 x -1/24)) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))

Outputs
(+.f64 0 (.f64 -1/24 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (.f64 x x)))) 1)
(pow.f64 (.f64 -1/24 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(expm1.f64 (log1p.f64 (.f64 -1/24 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/24 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/24 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (.f64 -1/24 (.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 2)
(pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/24))) 3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x)))) (/.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x)))))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(.f64 x (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(.f64 1 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4)) (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (.f64 x -1/24) 1/2)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (/.f64 1 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4))) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 x x))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x))) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x (.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))) (neg.f64 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 6) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x))) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))) -1)
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (pow.f64 (exp.f64 x) (*.f64 x 1/2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x 1/2)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 (.f64 (pow.f64 x 4) -1/24))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 -1/24 (.f64 x x)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) (.f64 -1/24 (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 (cbrt.f64 (.f64 x -1/24)) x) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (.f64 (cbrt.f64 x) (.f64 x (sqrt.f64 -1/24))) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -1/24)) (sqrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 -1/24 (.f64 x x)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))

simplify186.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1430×	`log-prod`
850×	`distribute-lft-in`
832×	`distribute-rgt-in`
614×	`unswap-sqr`
432×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4649
1	737	4549
2	2194	4331
3	7893	4331

Stop Event

1×	node limit

Counts

165 → 159

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (.f64 -1/24 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (.f64 x x)))) 1)
(pow.f64 (.f64 -1/24 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/24 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(expm1.f64 (log1p.f64 (.f64 -1/24 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/24 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/24 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/24 (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (.f64 -1/24 (.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 2)
(pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/24))) 3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x)))) (/.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x)))))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(.f64 x (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(.f64 1 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4)) (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (.f64 x -1/24) 1/2)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (/.f64 1 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4))) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 x x))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x))) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x (.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))) (neg.f64 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 6) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/24 (.f64 -1/2 (.f64 x x))) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))) -1)
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (pow.f64 (exp.f64 x) (*.f64 x 1/2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x 1/2)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 (.f64 (pow.f64 x 4) -1/24))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 -1/24 (.f64 x x)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) (.f64 -1/24 (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 (cbrt.f64 (.f64 x -1/24)) x) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (.f64 (cbrt.f64 x) (.f64 x (sqrt.f64 -1/24))) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -1/24)) (sqrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 -1/24 (.f64 x x)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
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(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (.f64 (cbrt.f64 x) (.f64 x (sqrt.f64 -1/24))) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x 4) -1/24)) (sqrt.f64 (.f64 (pow.f64 x 4) -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 -1/24 (.f64 x x)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (.f64 x x) (cbrt.f64 (.f64 -1/24 (.f64 x x)))) (.f64 x (*.f64 x 1/2)))
(.f64 (.f64 x x) (+.f64 1/2 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 -1/24 (.f64 x x))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))

eval93.0ms (1.4%)

Compiler: Compiled 3015 to 2048 computations (32.1% saved)

prune20.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	171	3	174

Accurracy

100.0%

Counts

174 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
	100.0%	(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
✓	99.6%	(.f64 x (.f64 1/2 x))

Compiler

Compiled 33 to 20 computations (39.4% saved)

regimes40.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))

Outputs
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))

Calls

3 calls:

34.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

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

Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes8.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (cos.f64 x))

Outputs
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))

Calls

3 calls:

3.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

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

Compiler

Compiled 40 to 24 computations (40% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-1.5%)

Threshold costs -0b (-1.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	96
1	26	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))

Outputs
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(.f64 x (.f64 1/2 x))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))

Compiler

Compiled 39 to 24 computations (38.5% saved)

soundness757.0ms (11.7%)

Rules

1838×	`pow1`
1698×	`add-exp-log`
1698×	`log1p-expm1-u`
1698×	`expm1-log1p-u`
1662×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1691	11
0	93	800
1	231	740
2	679	670
3	3306	670
0	71	935
1	160	857
2	437	779
3	2079	779
4	5873	779
0	10	34
1	203	34
2	2335	34
0	11	69
1	243	53
2	3273	53
0	93	800
1	231	740
2	679	670
3	3306	670
0	93	800
1	231	740
2	679	670
3	3306	670
0	86	1152
1	219	1106
2	1002	1086
3	4277	1078

Stop Event

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

Compiler

Compiled 393 to 251 computations (36.1% saved)

end24.0ms (0.4%)

Compiler: Compiled 36 to 20 computations (44.4% saved)

Details

analyze0.0ms (0%)

sample4.1s (62.6%)

preprocess14.0ms (0.2%)

simplify15.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.8%)

simplify55.0ms (0.8%)

eval9.0ms (0.1%)

prune5.0ms (0.1%)

localize36.0ms (0.6%)

series7.0ms (0.1%)

rewrite57.0ms (0.9%)

simplify55.0ms (0.9%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite81.0ms (1.2%)

simplify58.0ms (0.9%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite305.0ms (4.7%)

simplify64.0ms (1%)

eval24.0ms (0.4%)

prune12.0ms (0.2%)

localize5.0ms (0.1%)

localize53.0ms (0.8%)

series2.0ms (0%)

rewrite94.0ms (1.4%)

simplify66.0ms (1%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

localize50.0ms (0.8%)

series1.0ms (0%)

rewrite123.0ms (1.9%)

simplify186.0ms (2.9%)

eval93.0ms (1.4%)

prune20.0ms (0.3%)

regimes40.0ms (0.6%)

regimes8.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.1%)

soundness757.0ms (11.7%)

end24.0ms (0.4%)

Profiling