Details

analyze246.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample6.6s (84.5%)

Results

3.7s	2065×	body	2048	valid
1.8s	3068×	body	1024	valid
697.0ms	1569×	body	512	valid
306.0ms	1437×	body	256	valid
150.0ms	117×	body	4096	valid

Bogosity

preprocess90.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

472×	`fma-def`
54×	`div-sub`
48×	`associate-/l*`
48×	`unsub-neg`
44×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-def`
54×	`div-sub`
48×	`associate-/l*`
48×	`unsub-neg`
44×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`pow1`
1262×	`add-exp-log`
1262×	`log1p-expm1-u`
1262×	`expm1-log1p-u`
1234×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	148	11
2	1724	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1072×	`log-prod`
980×	`fma-def`
832×	`fma-neg`
742×	`exp-prod`
496×	`exp-sum`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	804
1	144	708
2	438	612
3	2071	612
4	4553	612
5	6569	612

Stop Event

1×	node limit

Counts

32 → 36

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	97.2%	(-.f64 1 (cos.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite141.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`unpow-prod-down`
906×	`log-prod`
508×	`pow-prod-down`
452×	`prod-diff`
438×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	190	22
2	2524	22

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

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

simplify201.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

838×	`distribute-lft-in`
754×	`distribute-rgt-in`
648×	`sqr-pow`
392×	`associate-r`
386×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	10189
1	1262	8787
2	4078	4761

Stop Event

1×	node limit

Counts

173 → 252

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 1/2 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 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (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 (-.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 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 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 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.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)) 2) 1/2)
(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 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -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))
(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))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 0 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (sin.f64 x))))))
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(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (/.f64 x 2))))
(exp.f64 (log.f64 (tan.f64 (/.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (/.f64 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.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))))
(+.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 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 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 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.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 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 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 1 (cos.f64 x)) 1)))
(/.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)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 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 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(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)) 2) 1/2)
(-.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 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(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 (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))))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(-.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 -1 (cos.f64 x) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(-.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 (tan.f64 (/.f64 x 2)) (-.f64 (/.f64 1 (tan.f64 x)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))))
(+.f64 0 (tan.f64 (/.f64 x 2)))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2))))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))) (.f64 0 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(-.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
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(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)) 1/3))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) -1))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(tan.f64 (/.f64 x 2))
(tan.f64 (/.f64 x 2))
(+.f64 (tan.f64 (/.f64 x 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1 (tan.f64 x)))

eval154.0ms (2%)

Compiler: Compiled 5551 to 3242 computations (41.6% saved)

prune83.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	287	3	290

Accurracy

100.0%

Counts

290 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	49.0%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize3.0ms (0%)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	49.0%	(*.f64 1/2 x)
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes23.0ms (0.3%)

Accuracy

Total -61.2b remaining (-783006.4%)

Threshold costs -61.2b (-783006.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
3.0ms	x

Results

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

Compiler

Compiled 25 to 18 computations (28% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	10	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness38.0ms (0.5%)

Rules

472×	`fma-def`
54×	`div-sub`
48×	`associate-/l*`
48×	`unsub-neg`
44×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end32.0ms (0.4%)

Compiler: Compiled 8 to 6 computations (25% saved)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11
0	1	1

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11
0	1	1

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Details

analyze246.0ms (3.1%)

sample6.6s (84.5%)

preprocess90.0ms (1.1%)

simplify40.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite67.0ms (0.9%)

simplify67.0ms (0.9%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite141.0ms (1.8%)

simplify201.0ms (2.6%)

eval154.0ms (2%)

prune83.0ms (1.1%)

localize3.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes23.0ms (0.3%)

simplify4.0ms (0.1%)

soundness38.0ms (0.5%)

end32.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11
0	1	1

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	59	11
5	82	11
6	120	11
7	189	11
8	334	11
9	535	11
10	677	11
11	725	11