Metrics for ENA, Section 1.4, Mentioned, A

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)

sample3.2s (57.3%)

Results

2.4s	4347×	body	2048	valid
546.0ms	2121×	body	1024	valid
168.0ms	1019×	body	512	valid
79.0ms	769×	body	256	valid

Bogosity

preprocess14.0ms (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)

simplify16.0ms (0.3%)

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

49.4%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(-.f64 1 (cos.f64 x))
▶	49.4%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize137.0ms (2.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	49.4%	(-.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))

rewrite54.0ms (1%)

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 (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

32 → 44

Calls

Call 1

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

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

eval9.0ms (0.2%)

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

prune13.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.8%	(.f64 1/2 (.f64 x x))
▶	100.0%	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.8%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 54 to 38 computations (29.6% saved)

localize88.0ms (1.6%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (cos.f64 x))
✓	100.0%	(/.f64 1 (+.f64 1 (cos.f64 x)))
✓	100.0%	(*.f64 (sin.f64 x) (sin.f64 x))
✓	100.0%	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	100.0%	(tan.f64 (/.f64 x 2))
✓	100.0%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 63 to 31 computations (50.8% saved)

series10.0ms (0.2%)

Counts

7 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms	x	@	inf	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
1.0ms	x	@	-inf	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
0.0ms	x	@	0	(tan.f64 (/.f64 x 2))

rewrite104.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`log-prod`
836×	`prod-diff`
642×	`expm1-udef`
642×	`log1p-udef`
560×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	390	105
2	5013	85

Stop Event

1×	node limit

Counts

7 → 244

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(tan.f64 (/.f64 x 2))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(+.f64 1 (cos.f64 x))

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

simplify128.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

826×	`div-sub`
552×	`times-frac`
524×	`associate-r`
508×	`cancel-sign-sub-inv`
468×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	7928
1	1111	7116
2	4850	6836

Stop Event

1×	node limit

Counts

320 → 309

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.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 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))
(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)
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(/.f64 1 (+.f64 (cos.f64 x) 1))
(/.f64 1 (+.f64 (cos.f64 x) 1))
(/.f64 1 (+.f64 (cos.f64 x) 1))
(/.f64 1 (+.f64 (cos.f64 x) 1))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 0 (.f64 x (.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/2 x)))) 1)
(pow.f64 (.f64 x (.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 1/2 x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 1/2 x))))
(exp.f64 (log.f64 (.f64 x (.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 1/2 x))))
(+.f64 0 (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 x)))) 1)
(.f64 (tan.f64 (.f64 1/2 x)) 1)
(*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x))))
(.f64 1 (tan.f64 (.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 1/2 x))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 1 (cos.f64 (/.f64 x -2))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2)) (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (neg.f64 (cos.f64 (/.f64 x -2))))
(/.f64 (*.f64 (sin.f64 x) -1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(pow.f64 (tan.f64 (*.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) 2)
(neg.f64 (tan.f64 (/.f64 x -2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 x))))
(+.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 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 1) (.f64 2 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) -1) (.f64 2 (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (.f64 -1 (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (+.f64 1 (cos.f64 x))) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) 2)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2)
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(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))))
(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 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (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 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.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 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (*.f64 (+.f64 1 (cos.f64 x)) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 1) (.f64 2 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) -1) (.f64 2 (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (.f64 -1 (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (+.f64 1 (cos.f64 x))) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x x)))) 2)
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2)
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(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))))
(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 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 1/2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (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 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.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 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 (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 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 1 (pow.f64 (cos.f64 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 (*.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 1) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (fma.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (fma.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (cos.f64 (+.f64 x x))) (.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (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 (pow.f64 (sin.f64 x) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(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 (pow.f64 (sin.f64 x) 2) 3))
(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))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.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 (+.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 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (+.f64 1 (cos.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) 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))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 1 (cos.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) -1)
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 (cos.f64 x) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 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)) 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))))
(log.f64 (+.f64 1 (expm1.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 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 (cos.f64 x) 1 1)
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(*.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)))
(+.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 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.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 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.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)))
(+.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)))
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(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 (pow.f64 (sin.f64 x) 2) 3))
(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)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.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 (*.f64 2 (log.f64 (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 2 (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 (cos.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1)
(/.f64 1 (+.f64 1 (cos.f64 x)))
(*.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)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.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)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) -1))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) -1))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(/.f64 (*.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))
(pow.f64 (+.f64 1 (cos.f64 x)) -1)
(/.f64 1 (+.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1)
(/.f64 1 (+.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))) 3)
(/.f64 1 (+.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3) 1/3)
(/.f64 1 (+.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -2))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (cos.f64 x))))))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 3))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) -1))
(exp.f64 (neg.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (cos.f64 x))) 1))
(exp.f64 (neg.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 1 (+.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 x)))) 1)
(+.f64 1 (cos.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.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 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))
(+.f64 1 (cos.f64 x))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.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 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(+.f64 1 (cos.f64 x))
(/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (+.f64 1 (cos.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) -1)
(/.f64 (+.f64 -1 (neg.f64 (cos.f64 x))) -1)
(/.f64 (-.f64 -1 (cos.f64 x)) -1)
(neg.f64 (-.f64 -1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 (cos.f64 x) 1))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(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))
(log.f64 (+.f64 1 (expm1.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 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(+.f64 1 (cos.f64 x))
(fma.f64 1 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (cos.f64 x) 1 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))

eval84.0ms (1.5%)

Compiler: Compiled 4684 to 2815 computations (39.9% saved)

prune40.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	306	3	309
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	307	5	312

Accurracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 0 (.f64 x (.f64 1/2 x)))
▶	100.0%	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2))))
▶	99.8%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.8%	(.f64 1/2 (.f64 x x))
▶	99.8%	(+.f64 0 (.f64 x (.f64 1/2 x)))
▶	100.0%	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2))))
▶	99.8%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.8%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 90 to 64 computations (28.9% saved)

localize84.0ms (1.5%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 83 to 45 computations (45.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2))))
1.0ms	x	@	inf	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2))))
0.0ms	x	@	inf	(.f64 (.f64 x x) -1/2)
0.0ms	x	@	0	(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2)))

rewrite86.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`log-prod`
832×	`prod-diff`
614×	`pow-exp`
502×	`expm1-udef`
500×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	304	65
2	3912	65

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

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

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1740×	`fma-def`
1424×	`unswap-sqr`
960×	`distribute-rgt-in`
958×	`distribute-lft-in`
270×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	4302
1	730	4026
2	2425	3934

Stop Event

1×	node limit

Counts

132 → 168

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 17/1440 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 17/1440 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 11/8064 (pow.f64 x 8)))))
(*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))
(*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/32 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/128 (pow.f64 x 6)) (*.f64 1/32 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 32 (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 128 (/.f64 1 (pow.f64 x 8))) (.f64 32 (/.f64 1 (pow.f64 x 6)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 32 (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 128 (/.f64 1 (pow.f64 x 8))) (.f64 32 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))) 1)
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (.f64 (fma.f64 x (.f64 x -1/2) 2) 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 1) (.f64 2 (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) -1) (.f64 2 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 (.f64 -1 (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2))) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)) 2)) (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1) (neg.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) 2)
(/.f64 (.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (fma.f64 x (.f64 x -1/2) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 0 (.f64 (.f64 x x) -1/2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) -1/2))) 1)
(pow.f64 (.f64 (.f64 x x) -1/2) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) -1/2)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) -1/2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) -1/2)))
(exp.f64 (log.f64 (.f64 (.f64 x x) -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) -1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x x) -1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 x x) -1/2))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) -1/2)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) -1/2)))
(+.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))) 1)
(.f64 1 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) 1)
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) 2) -1/2) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x -1/2) 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)) 2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 (.f64 x x) 3) -1/8 8)) (fma.f64 (.f64 (.f64 x x) -1/2) (fma.f64 (*.f64 x x) -1/2 -2) 4))
(.f64 (/.f64 1 (-.f64 4 (.f64 (pow.f64 x 4) 1/4))) (+.f64 2 (.f64 1/2 (.f64 x x))))
(pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -1/2) 2)) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x -1/2) 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 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 17/1440 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 17/1440 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 17/1440 (pow.f64 x 6))))
(+.f64 (.f64 17/1440 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 11/8064 (pow.f64 x 8)))))
(fma.f64 17/1440 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 11/8064 (pow.f64 x 8)))))
(fma.f64 17/1440 (pow.f64 x 6) (fma.f64 11/8064 (pow.f64 x 8) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))))
(*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))
(.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(fma.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))))
(fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (+.f64 -2 (/.f64 -8 (*.f64 x x))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))))
(fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)))))
(fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (+.f64 -8 (/.f64 -32 (*.f64 x x)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))
(fma.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8)) (fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))))))
(fma.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8)) (fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))))))
(fma.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (+.f64 -8 (/.f64 -32 (*.f64 x x))))))
(*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))
(.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(fma.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))))
(fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (+.f64 -2 (/.f64 -8 (*.f64 x x))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))))
(fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)))))
(fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (+.f64 -8 (/.f64 -32 (*.f64 x x)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))
(fma.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8)) (fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))))))
(fma.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8)) (fma.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))))))
(fma.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)) (+.f64 -8 (/.f64 -32 (*.f64 x x))))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
1/2
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2)
(fma.f64 1/8 (*.f64 x x) 1/2)
(fma.f64 (*.f64 x x) 1/8 1/2)
(fma.f64 x (*.f64 x 1/8) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/32 (pow.f64 x 4))))
(+.f64 (fma.f64 1/8 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) 1/32))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 4) 1/32 1/2))
(fma.f64 (pow.f64 x 4) 1/32 (fma.f64 x (*.f64 x 1/8) 1/2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/128 (pow.f64 x 6)) (*.f64 1/32 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/8 (.f64 x x) 1/2) (fma.f64 1/128 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/32)))
(+.f64 (fma.f64 (.f64 x x) 1/8 1/2) (fma.f64 (pow.f64 x 4) 1/32 (.f64 (pow.f64 x 6) 1/128)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 4) 1/32 (fma.f64 (pow.f64 x 6) 1/128 1/2)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 32 (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 32 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 32 (pow.f64 x 6)))
(-.f64 (/.f64 -8 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 32 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 128 (/.f64 1 (pow.f64 x 8))) (.f64 32 (/.f64 1 (pow.f64 x 6)))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 32 (pow.f64 x 6)) (/.f64 128 (pow.f64 x 8))))))
(-.f64 (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 32 (pow.f64 x 6)) (/.f64 128 (pow.f64 x 8))))
(+.f64 (/.f64 -8 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 32 (pow.f64 x 6)) (/.f64 128 (pow.f64 x 8)))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 32 (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 32 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 32 (pow.f64 x 6)))
(-.f64 (/.f64 -8 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 32 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 128 (/.f64 1 (pow.f64 x 8))) (.f64 32 (/.f64 1 (pow.f64 x 6)))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 32 (pow.f64 x 6)) (/.f64 128 (pow.f64 x 8))))))
(-.f64 (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 32 (pow.f64 x 6)) (/.f64 128 (pow.f64 x 8))))
(+.f64 (/.f64 -8 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 32 (pow.f64 x 6)) (/.f64 128 (pow.f64 x 8)))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (fma.f64 x (*.f64 x -1/2) 2)))
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (fma.f64 x (.f64 x -1/2) 2))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (.f64 (fma.f64 x (.f64 x -1/2) 2) 2))
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 1) (.f64 2 (fma.f64 x (*.f64 x -1/2) 2)))
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) -1) (.f64 2 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (.f64 -1 (-.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2))) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)) 2)) (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1) (neg.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2)
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) 2)
(-.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (/.f64 1/2 (/.f64 (fma.f64 x (.f64 x -1/2) 2) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x -1/2) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))) 3)
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 3) 1/3)
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 3))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))) 1) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))) 3))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))) 1/3))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(+.f64 0 (.f64 (.f64 x x) -1/2))
(.f64 x (.f64 x -1/2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 x x)))))
(.f64 x (.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) -1/2))) 1)
(.f64 x (.f64 x -1/2))
(pow.f64 (.f64 (.f64 x x) -1/2) 1)
(.f64 x (.f64 x -1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) -1/2)) 3)
(.f64 x (.f64 x -1/2))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8) 1/3)
(.f64 x (.f64 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(.f64 x (.f64 x -1/2))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(.f64 x (.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) -1/2))))
(.f64 x (.f64 x -1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8))
(.f64 x (.f64 x -1/2))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) -1/2)))
(.f64 x (.f64 x -1/2))
(exp.f64 (log.f64 (.f64 (.f64 x x) -1/2)))
(.f64 x (.f64 x -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) -1/2)) 1))
(.f64 x (.f64 x -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) -1/2)) 1) 1))
(.f64 x (.f64 x -1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x x) -1/2))) 3))
(.f64 x (.f64 x -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 x x) -1/2))) 1/3))
(.f64 x (.f64 x -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) -1/2)) 3) 1/3))
(.f64 x (.f64 x -1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(.f64 x (.f64 x -1/2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) -1/2)))
(.f64 x (.f64 x -1/2))
(+.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))) 1)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(.f64 1 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2)) 1)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -2)))
(.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) 2) -1/2) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x -1/2) 2))))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)) 2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)) 2))
(.f64 (/.f64 1 (fma.f64 (pow.f64 (.f64 x x) 3) -1/8 8)) (fma.f64 (.f64 (.f64 x x) -1/2) (fma.f64 (*.f64 x x) -1/2 -2) 4))
(/.f64 (.f64 1 (fma.f64 (.f64 x (.f64 x -1/2)) (fma.f64 (.f64 x x) -1/2 -2) 4)) (fma.f64 (pow.f64 x 6) -1/8 8))
(/.f64 (fma.f64 (.f64 x (.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) -2) 4) (fma.f64 (pow.f64 x 6) -1/8 8))
(.f64 (/.f64 1 (-.f64 4 (.f64 (pow.f64 x 4) 1/4))) (+.f64 2 (.f64 1/2 (.f64 x x))))
(/.f64 (.f64 1 (+.f64 2 (.f64 1/2 (.f64 x x)))) (-.f64 4 (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 1/2 (.f64 x x) 2) (+.f64 4 (.f64 (pow.f64 x 4) -1/4)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 2) (fma.f64 (pow.f64 x 4) -1/4 4))
(pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) 1)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))) 3)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) 3) 1/3)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2) 2)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))) -1)
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -2))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) 3))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -1/2) 2)) -1))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x -1/2) 2))) 1))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1) -1))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) -1) 1))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1) 1))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)))) 3))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) 1/3))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))

eval132.0ms (2.4%)

Compiler: Compiled 4453 to 2845 computations (36.1% saved)

prune52.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	222	5	227

Accurracy

100.0%

Counts

227 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(+.f64 0 (.f64 x (.f64 1/2 x)))
▶	100.0%	(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 2 (.f64 (*.f64 x x) -1/2))))
✓	99.8%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.8%	(.f64 1/2 (.f64 x x))
✓	99.8%	(+.f64 0 (.f64 x (.f64 1/2 x)))
▶	100.0%	(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 2 (.f64 (*.f64 x x) -1/2))))
✓	99.8%	(.f64 (sin.f64 x) (.f64 1/2 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.8%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 88 to 66 computations (25% saved)

localize106.0ms (1.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2)))
	100.0%	(.f64 (.f64 x x) -1/2)
✓	100.0%	(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 2 (.f64 (*.f64 x x) -1/2))))
✓	100.0%	(pow.f64 (sin.f64 x) 2)

Compiler

Compiled 50 to 30 computations (40% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite76.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`log-prod`
740×	`pow-prod-down`
628×	`pow-prod-up`
584×	`pow-exp`
476×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	295	42
2	3521	42

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1224×	`times-frac`
904×	`log-prod`
726×	`fma-def`
660×	`associate-r`
620×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2384
1	421	2324
2	1241	2172
3	6286	2172

Stop Event

1×	node limit

Counts

76 → 114

Calls

Call 1

Inputs
(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))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 17/1440 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 17/1440 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 11/8064 (pow.f64 x 8)))))
(*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))
(*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))
(+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 8))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.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 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 3/2))
(*.f64 (pow.f64 (sin.f64 x) 3/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (*.f64 2 x))) 2)
(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 (.f64 2 (log.f64 (sin.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 x)) 1) 2))
(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)))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))) 1)
(/.f64 (sin.f64 x) (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2))) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (fma.f64 x (*.f64 x -1/2) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)) 2)) (cbrt.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1) (neg.f64 (fma.f64 x (.f64 x -1/2) 2)))
(/.f64 (.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (fma.f64 x (.f64 x -1/2) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 6) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) 6))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (.f64 x -1/2) 2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))

Outputs
(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))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6))))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
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(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (.f64 x -1/2) 2)))) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (*.f64 x -1/2) 2))

eval120.0ms (2.2%)

Compiler: Compiled 3943 to 2790 computations (29.2% saved)

prune27.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	211	4	215

Accurracy

100.0%

Counts

215 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 118 to 75 computations (36.4% saved)

regimes12.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 0 (.f64 x (.f64 1/2 x)))
(-.f64 1 (cos.f64 x))
(.f64 (sin.f64 x) (.f64 1/2 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 2 (.f64 (*.f64 x x) -1/2))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/2))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))

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

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 96 to 59 computations (38.5% saved)

regimes9.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 0 (.f64 x (.f64 1/2 x)))
(-.f64 1 (cos.f64 x))
(.f64 (sin.f64 x) (.f64 1/2 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

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

Calls

3 calls:

4.0ms	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 45 to 30 computations (33.3% saved)

regimes9.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 0 (.f64 x (.f64 1/2 x)))
(-.f64 1 (cos.f64 x))
(.f64 (sin.f64 x) (.f64 1/2 x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 1 (cos.f64 x))`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 0 (.f64 x (.f64 1/2 x)))
(-.f64 1 (cos.f64 x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 1 (cos.f64 x))`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
1	28	91

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

soundness617.0ms (11.2%)

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
0	511	7928
1	1111	7116
2	4850	6836
0	200	2384
1	421	2324
2	1241	2172
3	6286	2172
0	93	800
1	231	740
2	679	670
3	3306	670
0	200	2384
1	421	2324
2	1241	2172
3	6286	2172
0	93	800
1	231	740
2	679	670
3	3306	670

Stop Event

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

Compiler

Compiled 256 to 161 computations (37.1% saved)

end73.0ms (1.3%)

Compiler: Compiled 100 to 66 computations (34% saved)

analyze0.0ms (0%)

sample3.2s (57.3%)

preprocess14.0ms (0.3%)

simplify16.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize137.0ms (2.5%)

series1.0ms (0%)

rewrite54.0ms (1%)

simplify54.0ms (1%)

eval9.0ms (0.2%)

prune13.0ms (0.2%)

localize88.0ms (1.6%)

series10.0ms (0.2%)

rewrite104.0ms (1.9%)

simplify128.0ms (2.3%)

eval84.0ms (1.5%)

prune40.0ms (0.7%)

localize84.0ms (1.5%)

series3.0ms (0.1%)

rewrite86.0ms (1.6%)

simplify77.0ms (1.4%)

eval132.0ms (2.4%)

prune52.0ms (1%)

localize106.0ms (1.9%)

series1.0ms (0%)

rewrite76.0ms (1.4%)

simplify76.0ms (1.4%)

eval120.0ms (2.2%)

prune27.0ms (0.5%)

regimes12.0ms (0.2%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.1%)

regimes3.0ms (0.1%)

simplify33.0ms (0.6%)

soundness617.0ms (11.2%)

end73.0ms (1.3%)

Profiling