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)

sample3.7s (57.5%)

Results

2.7s	4369×	body	2048	valid
647.0ms	2100×	body	1024	valid
211.0ms	1008×	body	512	valid
80.0ms	779×	body	256	valid

Bogosity

preprocess16.0ms (0.3%)

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)

simplify13.0ms (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

52.8%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize151.0ms (2.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	52.8%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 6 computations (40% 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))

rewrite91.0ms (1.4%)

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))))

simplify54.0ms (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))

eval10.0ms (0.2%)

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

prune33.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Accurracy

100.0%

Counts

45 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
▶	99.5%	(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
✓	52.8%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.5%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize18.0ms (0.3%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize57.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 20 to 13 computations (35% 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)))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite101.0ms (1.6%)

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)))))

simplify59.0ms (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)))

localize49.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (sin.f64 x))
✓	99.9%	(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
✓	99.5%	(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))

Compiler

Compiled 39 to 16 computations (59% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`log-prod`
772×	`prod-diff`
706×	`pow-prod-down`
562×	`pow-prod-up`
554×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	71
1	245	39
2	3515	39

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))

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

simplify121.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-neg`
838×	`exp-prod`
650×	`associate-/r/`
476×	`associate-/l/`
416×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	4534
1	937	4368
2	2972	4174
3	6953	4174

Stop Event

1×	node limit

Counts

184 → 235

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 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 -1 (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (sin.f64 x) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2)
(pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (cos.f64 x)))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (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))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)))
(*.f64 (+.f64 -1 (neg.f64 (cos.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) -2) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) -1)
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) -1))
(exp.f64 (.f64 (neg.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 2) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 6)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 2/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 x) 6) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 4)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))) -1)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (sin.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 2) 1))
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 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 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)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 1/120 (.f64 x x) (+.f64 1/6 (/.f64 2 (.f64 x x))))
(+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 1/120 (.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (.f64 x x)))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/3024 (/.f64 2 (.f64 x x))) (fma.f64 (.f64 x x) 1/120 1/6))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 8) -1/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 8) -1/315 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 1/2 (/.f64 (+.f64 1 (cos.f64 x)) (cos.f64 (+.f64 x x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) (+.f64 1 (cos.f64 x))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 -1/2 (+.f64 1 (cos.f64 x))) (cos.f64 (+.f64 x x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (sin.f64 x) -2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2)
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 2) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 2) (*.f64 1/4 (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1/4 (fma.f64 1/4 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 2))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) -1/8)) (+.f64 1/4 (.f64 (cos.f64 (+.f64 x x)) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) 1/4)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (fma.f64 (cos.f64 x) (cos.f64 x) 1))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 6)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 3) 2/3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 6) 1/3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sqrt.f64 (sin.f64 x)) 4)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))) -1)
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (sin.f64 x) 6))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 x))) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 1) 2))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 2) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

localize44.0ms (0.7%)

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)))
✓	99.9%	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series2.0ms (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)))

rewrite64.0ms (1%)

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)))))

simplify58.0ms (0.9%)

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)))

eval133.0ms (2.1%)

Compiler: Compiled 4560 to 3100 computations (32% saved)

prune81.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	316	4	320

Accurracy

100.0%

Counts

320 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))
▶	99.5%	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
▶	99.9%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	99.5%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 42 to 29 computations (31% saved)

localize31.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x -1/24)
0.0ms	x	@	0	(*.f64 x -1/24)
0.0ms	x	@	inf	(*.f64 x -1/24)

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1`
862×	`add-sqr-sqrt`
842×	`*-un-lft-identity`
818×	`add-exp-log`
818×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1112	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(*.f64 x -1/24)

Outputs
(+.f64 0 (*.f64 x -1/24))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(-.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 (.f64 (.f64 x x) 1/576))
(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)))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1568×	`fma-def`
1558×	`log-prod`
1066×	`fma-neg`
506×	`*-commutative`
504×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	238
1	95	224
2	310	200
3	2196	200
4	4932	200
5	6831	200

Stop Event

1×	node limit

Counts

26 → 18

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 0 (*.f64 x -1/24))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(-.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 (.f64 (.f64 x x) 1/576))
(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)))

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 0 (*.f64 x -1/24))
(*.f64 -1/24 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/24))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/24))))
(*.f64 -1/24 x)
(-.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 (.f64 (.f64 x x) 1/576))
(*.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)

localize41.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 2 (*.f64 x x))
✓	99.4%	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))

Compiler

Compiled 30 to 18 computations (40% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 2 (*.f64 x x))
0.0ms	x	@	0	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 2 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`unpow-prod-down`
836×	`log-prod`
558×	`prod-exp`
468×	`pow-prod-down`
440×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	219	34
2	2706	34

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1))
(.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -6) 1/216)) (fma.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -6) 1/216)) (pow.f64 (/.f64 1 (fma.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)) -1))
(.f64 (/.f64 1 (-.f64 1/36 (.f64 4 (pow.f64 x -4)))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(.f64 (/.f64 1 (-.f64 1/36 (.f64 4 (pow.f64 x -4)))) (pow.f64 (/.f64 1 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(.f64 (pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -6) 1/216)) 1) (fma.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(.f64 (pow.f64 (/.f64 1 (-.f64 1/36 (.f64 4 (pow.f64 x -4)))) 1) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 0 (*.f64 2 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(.f64 1 (.f64 2 (pow.f64 x -2)))
(*.f64 2 (pow.f64 x -2))
(.f64 (.f64 2 (pow.f64 x -2)) 1)
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(.f64 -2 (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 -2 (pow.f64 (/.f64 1 (.f64 x (neg.f64 x))) 1))
(*.f64 (pow.f64 x -2) 2)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (/.f64 2 x) (pow.f64 (/.f64 1 x) 1))
(.f64 (pow.f64 1 1/3) (.f64 2 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (pow.f64 x -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) 3))
(*.f64 (pow.f64 8 1/3) (pow.f64 x -2))
(.f64 (pow.f64 (.f64 (*.f64 4 (pow.f64 x -4)) 2) 1/3) (cbrt.f64 (pow.f64 x -2)))
(.f64 (pow.f64 (.f64 (.f64 4 (pow.f64 x -4)) (cbrt.f64 (.f64 4 (pow.f64 x -4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/2)) 2) -1) (cbrt.f64 (.f64 2 (pow.f64 x -2))))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 4 (pow.f64 x -4)) 1/2)
(pow.f64 (*.f64 8 (pow.f64 x -6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(pow.f64 (/.f64 (.f64 (.f64 x x) 1/2) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 8 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 x -6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) x)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/2)) -1))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def`
720×	`unswap-sqr`
542×	`log-prod`
494×	`*-commutative`
456×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	284	2859
1	692	2737
2	1768	2687
3	6476	2649

Stop Event

1×	node limit

Counts

119 → 153

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 1/288 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/288 (pow.f64 x 6)) (+.f64 (.f64 -1/3456 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1))
(.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -6) 1/216)) (fma.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -6) 1/216)) (pow.f64 (/.f64 1 (fma.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)) -1))
(.f64 (/.f64 1 (-.f64 1/36 (.f64 4 (pow.f64 x -4)))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(.f64 (/.f64 1 (-.f64 1/36 (.f64 4 (pow.f64 x -4)))) (pow.f64 (/.f64 1 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(.f64 (pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -6) 1/216)) 1) (fma.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(.f64 (pow.f64 (/.f64 1 (-.f64 1/36 (.f64 4 (pow.f64 x -4)))) 1) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 0 (*.f64 2 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(.f64 1 (.f64 2 (pow.f64 x -2)))
(*.f64 2 (pow.f64 x -2))
(.f64 (.f64 2 (pow.f64 x -2)) 1)
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(.f64 -2 (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 -2 (pow.f64 (/.f64 1 (.f64 x (neg.f64 x))) 1))
(*.f64 (pow.f64 x -2) 2)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (/.f64 2 x) (pow.f64 (/.f64 1 x) 1))
(.f64 (pow.f64 1 1/3) (.f64 2 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (pow.f64 x -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) 3))
(*.f64 (pow.f64 8 1/3) (pow.f64 x -2))
(.f64 (pow.f64 (.f64 (*.f64 4 (pow.f64 x -4)) 2) 1/3) (cbrt.f64 (pow.f64 x -2)))
(.f64 (pow.f64 (.f64 (.f64 4 (pow.f64 x -4)) (cbrt.f64 (.f64 4 (pow.f64 x -4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/2)) 2) -1) (cbrt.f64 (.f64 2 (pow.f64 x -2))))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 4 (pow.f64 x -4)) 1/2)
(pow.f64 (*.f64 8 (pow.f64 x -6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(pow.f64 (/.f64 (.f64 (.f64 x x) 1/2) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 8 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 x -6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) x)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/2)) -1))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))

Outputs
(*.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 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 1/288 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/288 (pow.f64 x 6))))
(+.f64 (.f64 1/288 (pow.f64 x 6)) (+.f64 (.f64 -1/3456 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 -1/3456 (pow.f64 x 8)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -72 6)
(-.f64 (+.f64 6 (.f64 864 (/.f64 1 (pow.f64 x 4)))) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 -72 (*.f64 x x))))
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(*.f64 (pow.f64 8 1/3) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (cbrt.f64 8))
(.f64 (pow.f64 (.f64 (*.f64 4 (pow.f64 x -4)) 2) 1/3) (cbrt.f64 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 2 (*.f64 4 (pow.f64 x -4)))) (cbrt.f64 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 8 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -2)))
(.f64 (pow.f64 (.f64 (.f64 4 (pow.f64 x -4)) (cbrt.f64 (.f64 4 (pow.f64 x -4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) (cbrt.f64 (.f64 (.f64 4 (pow.f64 x -4)) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) (cbrt.f64 (.f64 (pow.f64 x -4) (.f64 4 (cbrt.f64 (*.f64 4 (pow.f64 x -4)))))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 4 (pow.f64 x -4)) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (pow.f64 x -2)) 5/2)) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 2 (.f64 x x)) 5/2)) (cbrt.f64 (/.f64 (sqrt.f64 2) x)))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x -2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/2)) 2) -1) (cbrt.f64 (.f64 2 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 2)))
(/.f64 (.f64 1 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 2))
(/.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x))) 2))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (*.f64 4 (pow.f64 x -4)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(pow.f64 (*.f64 8 (pow.f64 x -6)) 1/3)
(cbrt.f64 (*.f64 8 (pow.f64 x -6)))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (/.f64 (.f64 (.f64 x x) 1/2) 1) -1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(cbrt.f64 (*.f64 8 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x -2))) 1))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1) 1))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2)))) 3))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 x -6))) 1/3))
(cbrt.f64 (*.f64 8 (pow.f64 x -6)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 3) 1/3))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) x)) 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/2)) -1))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))

localize65.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(/.f64 2 (*.f64 x x))
✓	99.5%	(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))

Compiler

Compiled 47 to 26 computations (44.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/120 1/6)))

0.0ms

(/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/120 1/6)))

0.0ms

-inf

(/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/120 1/6)))

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`prod-diff`
1080×	`log-prod`
564×	`pow-exp`
550×	`pow-prod-up`
516×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	280	35
2	3466	35

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))

Outputs
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))) 1)
(.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))
(.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) 1)
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 3) (/.f64 8 (pow.f64 x 6)))) (fma.f64 (fma.f64 x (.f64 x 1/120) 1/6) (-.f64 (fma.f64 x (.f64 x 1/120) 1/6) (*.f64 2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 2))) (-.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 x (.f64 x 1/120) 1/6)))
(pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(exp.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 1) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1016×	`distribute-lft-in`
980×	`distribute-rgt-in`
496×	`fma-def`
414×	`associate-+r+`
414×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2019
1	331	1953
2	790	1897
3	3297	1869

Stop Event

1×	node limit

Counts

47 → 76

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 1/17280 (pow.f64 x 8)) (.f64 1/720 (pow.f64 x 6)))))
(/.f64 120 (pow.f64 x 2))
(-.f64 (.f64 120 (/.f64 1 (pow.f64 x 2))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2))))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(/.f64 120 (pow.f64 x 2))
(-.f64 (.f64 120 (/.f64 1 (pow.f64 x 2))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2))))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))) 1)
(.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))
(.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) 1)
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 3) (/.f64 8 (pow.f64 x 6)))) (fma.f64 (fma.f64 x (.f64 x 1/120) 1/6) (-.f64 (fma.f64 x (.f64 x 1/120) 1/6) (*.f64 2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 2))) (-.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 x (.f64 x 1/120) 1/6)))
(pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(exp.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 1) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))

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 1/17280 (pow.f64 x 8)) (.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/17280 (pow.f64 x 8) (.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/17280 (pow.f64 x 8)))))
(/.f64 120 (pow.f64 x 2))
(/.f64 120 (*.f64 x x))
(/.f64 (/.f64 120 x) x)
(*.f64 120 (pow.f64 x -2))
(-.f64 (.f64 120 (/.f64 1 (pow.f64 x 2))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 120 x) x) (/.f64 -2400 (pow.f64 x 4)))
(fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (/.f64 120 x) x) (/.f64 19200 (pow.f64 x 6))) (/.f64 -2400 (pow.f64 x 4)))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4))) (/.f64 19200 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2))))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 192000 (pow.f64 x 8)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 120 x) x) (/.f64 19200 (pow.f64 x 6))) (/.f64 192000 (pow.f64 x 8))) (/.f64 -2400 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 19200 (pow.f64 x 6))) (+.f64 (/.f64 192000 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 4))))
(/.f64 120 (pow.f64 x 2))
(/.f64 120 (*.f64 x x))
(/.f64 (/.f64 120 x) x)
(*.f64 120 (pow.f64 x -2))
(-.f64 (.f64 120 (/.f64 1 (pow.f64 x 2))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 120 x) x) (/.f64 -2400 (pow.f64 x 4)))
(fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (/.f64 120 x) x) (/.f64 19200 (pow.f64 x 6))) (/.f64 -2400 (pow.f64 x 4)))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4))) (/.f64 19200 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 19200 (/.f64 1 (pow.f64 x 6))) (.f64 120 (/.f64 1 (pow.f64 x 2))))) (.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 192000 (pow.f64 x 8)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 120 x) x) (/.f64 19200 (pow.f64 x 6))) (/.f64 192000 (pow.f64 x 8))) (/.f64 -2400 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 120 x) x) (+.f64 (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 19200 (pow.f64 x 6))) (+.f64 (/.f64 192000 (pow.f64 x 8)) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (.f64 x -1/120) -1/6)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))
(.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 3) (/.f64 8 (pow.f64 x 6)))) (fma.f64 (fma.f64 x (.f64 x 1/120) 1/6) (-.f64 (fma.f64 x (.f64 x 1/120) 1/6) (*.f64 2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 3) (/.f64 8 (pow.f64 x 6)))) (fma.f64 (fma.f64 x (.f64 x 1/120) 1/6) (+.f64 (fma.f64 x (.f64 x 1/120) 1/6) (*.f64 -2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/120) 1/6) (+.f64 (fma.f64 x (.f64 x 1/120) 1/6) (.f64 -2 (pow.f64 x -2))) (/.f64 4 (pow.f64 x 4))) (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 3) (/.f64 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/120) 1/6) (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) (/.f64 4 (pow.f64 x 4))) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 3) (/.f64 8 (pow.f64 x 6))))
(.f64 (/.f64 1 (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 2))) (-.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 x (.f64 x 1/120) 1/6)))
(/.f64 (-.f64 (.f64 2 (pow.f64 x -2)) (fma.f64 x (.f64 x 1/120) 1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2)))
(/.f64 (+.f64 (fma.f64 2 (pow.f64 x -2) (.f64 (.f64 x x) -1/120)) -1/6) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (*.f64 x 1/120) 1/6) 2)))
(/.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x -1/120) -1/6)) (-.f64 (/.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 x (.f64 x 1/120) 1/6) 2)))
(pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 3)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -3) 1/3)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -2)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -1/2) 2)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) -1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -2))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)) -3))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))) -1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)))) 1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) 1) -1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6))) -1) 1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 1) 1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6))))) 3))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (.f64 x 1/120) 1/6)) -3)) 1/3))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))) 2))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/120) 1/6)))
(/.f64 -1 (fma.f64 -2 (pow.f64 x -2) (fma.f64 x (*.f64 x -1/120) -1/6)))

eval175.0ms (2.8%)

Compiler: Compiled 5125 to 4102 computations (20% saved)

prune34.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	307	5	312

Accurracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))
✓	99.5%	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
✓	99.9%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	99.5%	(.f64 1/2 (.f64 x x))
	4.2%	6

Compiler

Compiled 44 to 31 computations (29.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))
✓	99.5%	(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
✓	99.9%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	99.5%	(.f64 1/2 (.f64 x x))
	4.2%	6

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes35.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

Inputs
6
(.f64 1/2 (.f64 x x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))

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

Calls

3 calls:

5.0ms	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 83 to 51 computations (38.6% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
6
(.f64 1/2 (.f64 x x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(/.f64 1 (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (.f64 x x) 1/120 1/6)))

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

Calls

3 calls:

4.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 1 (cos.f64 x))`
99.9%	1	`(cos.f64 x)`

Compiler

Compiled 54 to 34 computations (37% saved)

regimes8.0ms (0.1%)

Accuracy

Total -61.4b remaining (-19796.5%)

Threshold costs -61.4b (-19796.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 1 (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(-.f64 1 (cos.f64 x))`
99.5%	1	`(cos.f64 x)`

Compiler

Compiled 30 to 21 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	22	62

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 1/2 (.f64 x x))
6

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)
6

Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness538.0ms (8.5%)

Rules

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

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	7	11
1	140	11
2	1691	11
0	404	4534
1	937	4368
2	2972	4174
3	6953	4174
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

Stop Event

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

Compiler

Compiled 357 to 235 computations (34.2% saved)

end60.0ms (0.9%)

Compiler: Compiled 80 to 52 computations (35% saved)

Details

analyze0.0ms (0%)

sample3.7s (57.5%)

preprocess16.0ms (0.3%)

simplify13.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize151.0ms (2.4%)

series1.0ms (0%)

rewrite91.0ms (1.4%)

simplify54.0ms (0.8%)

eval10.0ms (0.2%)

prune33.0ms (0.5%)

localize18.0ms (0.3%)

localize57.0ms (0.9%)

series2.0ms (0%)

rewrite101.0ms (1.6%)

simplify59.0ms (0.9%)

localize49.0ms (0.8%)

series4.0ms (0.1%)

rewrite82.0ms (1.3%)

simplify121.0ms (1.9%)

localize44.0ms (0.7%)

series2.0ms (0%)

rewrite64.0ms (1%)

simplify58.0ms (0.9%)

eval133.0ms (2.1%)

prune81.0ms (1.3%)

localize31.0ms (0.5%)

series2.0ms (0%)

rewrite77.0ms (1.2%)

simplify65.0ms (1%)

localize41.0ms (0.6%)

series1.0ms (0%)

rewrite72.0ms (1.1%)

simplify89.0ms (1.4%)

localize65.0ms (1%)

series1.0ms (0%)

rewrite70.0ms (1.1%)

simplify76.0ms (1.2%)

eval175.0ms (2.8%)

prune34.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes35.0ms (0.5%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness538.0ms (8.5%)

end60.0ms (0.9%)

Profiling