Metrics for ENA, Section 1.4, Mentioned, A

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.7s (71%)

Results

2.7s	4491×	body	2048	valid
768.0ms	1993×	body	1024	valid
181.0ms	1016×	body	512	valid
79.0ms	756×	body	256	valid

Bogosity

preprocess18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	17	22
2	22	22
3	31	22
4	41	22
5	55	22
6	70	22
7	79	22
8	82	22

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

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

55.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(-.f64 1 (cos.f64 x))
▶	55.7%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize103.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	55.7%	(-.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))

rewrite63.0ms (1.2%)

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))))

simplify61.0ms (1.2%)

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)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Accurracy

100.0%

Counts

45 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	55.7%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))
▶	100.0%	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	55.7%	(-.f64 1 (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	99.6%	(.f64 1/2 (.f64 x x))

Compiler

Compiled 60 to 42 computations (30% saved)

localize177.0ms (3.4%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 55 to 25 computations (54.5% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite93.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`log-prod`
864×	`prod-diff`
616×	`expm1-udef`
616×	`log1p-udef`
532×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	367	66
2	4805	46

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-*r/`
1054×	`associate-*l/`
626×	`div-sub`
392×	`associate-+r+`
344×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	4893
1	789	4651
2	2950	4381

Stop Event

1×	node limit

Counts

199 → 193

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

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

eval56.0ms (1.1%)

Compiler: Compiled 2605 to 1623 computations (37.7% saved)

prune27.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	191	6	197

Accurracy

100.0%

Counts

197 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
▶	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	55.7%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))
▶	76.6%	(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
▶	99.0%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
▶	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	55.7%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))
▶	76.6%	(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))

Compiler

Compiled 86 to 68 computations (20.9% saved)

localize96.0ms (1.8%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	99.3%	(*.f64 x (sqrt.f64 1/2))
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	100.0%	(pow.f64 (sin.f64 x) 2)
✓	100.0%	(*.f64 (pow.f64 x 4) 1/4)
✓	76.9%	(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))

Compiler

Compiled 58 to 40 computations (31% saved)

series5.0ms (0.1%)

Counts

6 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
0.0ms	x	@	0	(*.f64 x (sqrt.f64 1/2))
0.0ms	x	@	0	(*.f64 (pow.f64 x 4) 1/4)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 1/2))

rewrite96.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`log-prod`
732×	`pow-exp`
590×	`expm1-udef`
586×	`log1p-udef`
512×	`log-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	415	88
2	4721	72

Stop Event

1×	node limit

Counts

6 → 216

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(*.f64 (pow.f64 x 4) 1/4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

Outputs
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 x x) (pow.f64 1/4 1/2))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (pow.f64 1/4 1/2) (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/2 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2) 1/3)
(fabs.f64 (.f64 1/2 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 4) 1/4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/4))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 2)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/16) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/16))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) 1/4))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/4)))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 2))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 4))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2))
(exp.f64 (.f64 (.f64 3 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 1/4)))
(+.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 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(*.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) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (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 (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 (.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 (.f64 3 (*.f64 2 (log.f64 (sin.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.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 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(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 (cos.f64 x) 1) 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))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/4)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 1))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/4))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/4))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 x x) (pow.f64 1/4 1/2))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (pow.f64 1/4 1/2) (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/2 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (.f64 1/2 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

simplify139.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1424×	`times-frac`
574×	`associate-/r*`
476×	`associate-+r+`
474×	`associate-+l+`
438×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	5356
1	968	5148
2	3103	4924

Stop Event

1×	node limit

Counts

276 → 256

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 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(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 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 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 x x) (pow.f64 1/4 1/2))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (pow.f64 1/4 1/2) (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/2 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2) 1/3)
(fabs.f64 (.f64 1/2 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 4) 1/4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/4))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 2)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/16) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/16))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) 1/4))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/4)))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 2))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 4))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2))
(exp.f64 (.f64 (.f64 3 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 1/4)))
(+.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 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(*.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) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (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 (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 (.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 (.f64 3 (*.f64 2 (log.f64 (sin.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.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 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(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 (cos.f64 x) 1) 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))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/4)
(pow.f64 (.f64 1/2 (.f64 x x)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/2))) 1))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/4))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/4))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(+.f64 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x)))) 1)
(.f64 x (.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (.f64 x x) 1/2)
(.f64 (.f64 x x) (pow.f64 1/4 1/2))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (pow.f64 1/4 1/2) (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/2 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (.f64 1/2 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/2))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
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(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 x (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) 4))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))))
(.f64 (.f64 x x) 1/2)
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) (pow.f64 1/4 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))))
(.f64 (pow.f64 1/4 1/2) (.f64 x x))
(.f64 1/2 (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/16))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))) (cbrt.f64 (.f64 x (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (.f64 x (sqrt.f64 1/2)) (cbrt.f64 (.f64 x (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/2))) 4))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(.f64 1/2 (.f64 x x))
(fabs.f64 (.f64 1/2 (.f64 x x)))
(.f64 1/2 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(.f64 1/2 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x x)))))
(.f64 1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3/2))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 x 4)) 3/2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2))
(pow.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))))
(sqrt.f64 (*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -3/4))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 x x))) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1) 1/2))
(pow.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))))
(sqrt.f64 (*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -3/4))))
(exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4)) 1/2) 1))
(pow.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))))
(sqrt.f64 (*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -3/4))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x x))) 1) 1))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 1) 2))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x)))) 3))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (.f64 3/2 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/3))
(pow.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -3/4))))
(sqrt.f64 (*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -3/4))))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))

eval120.0ms (2.3%)

Compiler: Compiled 3087 to 2182 computations (29.3% saved)

prune31.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	256	6	262

Accurracy

100.0%

Counts

262 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓	100.0%	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	55.7%	(-.f64 1 (cos.f64 x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	99.6%	(.f64 1/2 (.f64 x x))
✓	76.6%	(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))

Compiler

Compiled 91 to 65 computations (28.6% saved)

regimes10.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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 58 to 38 computations (34.5% saved)

regimes8.0ms (0.2%)

Accuracy

Total -28.2b remaining (-11964.6%)

Threshold costs -28.2b (-11964.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(-.f64 1 (cos.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(-.f64 1 (cos.f64 x))`
99.6%	1	`(cos.f64 x)`

Compiler

Compiled 32 to 24 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	14	34

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness254.0ms (4.9%)

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	93	800
1	231	740
2	679	670
3	3306	670
0	93	800
1	231	740
2	679	670
3	3306	670

Stop Event

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

Compiler

Compiled 124 to 68 computations (45.2% saved)

end0.0ms (0%)

preprocess33.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 74 to 52 computations (29.7% saved)

analyze1.0ms (0%)

sample3.7s (71%)

preprocess18.0ms (0.3%)

simplify4.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize103.0ms (2%)

series1.0ms (0%)

rewrite63.0ms (1.2%)

simplify61.0ms (1.2%)

eval9.0ms (0.2%)

prune7.0ms (0.1%)

localize177.0ms (3.4%)

series5.0ms (0.1%)

rewrite93.0ms (1.8%)

simplify85.0ms (1.6%)

eval56.0ms (1.1%)

prune27.0ms (0.5%)

localize96.0ms (1.8%)

series5.0ms (0.1%)

rewrite96.0ms (1.8%)

simplify139.0ms (2.7%)

eval120.0ms (2.3%)

prune31.0ms (0.6%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

simplify4.0ms (0.1%)

soundness254.0ms (4.9%)

end0.0ms (0%)

preprocess33.0ms (0.6%)

Profiling