Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.1s (22.4%)

Results

1.9s	3996×	body	1024	valid
1.6s	2098×	body	2048	valid
444.0ms	1419×	body	512	valid
114.0ms	740×	body	256	valid
4.0ms	3×	body	4096	valid

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

144×	`fma-def`
80×	`associate--r+`
72×	`associate-+l-`
56×	`+-commutative`
48×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
42×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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

Error

41.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.4b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms	x	@	0	(cos.f64 (+.f64 x eps))
1.0ms	eps	@	0	(cos.f64 (+.f64 x eps))
0.0ms	x	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`*-commutative`
908×	`associate-*r/`
752×	`distribute-lft-in`
736×	`distribute-rgt-in`
690×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	212	32
2	3121	32

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
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Outputs

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simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-+l-`
1152×	`associate-+r-`
828×	`fma-def`
724×	`associate--r+`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	456	10932
1	1283	10512
2	5920	10512

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval72.0ms (0.4%)

Compiler: Compiled 7078 to 2227 computations (68.5% saved)

prune115.0ms (0.6%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	244	42	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	244	43	287

Error

0.2b

Counts

287 → 43

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	49.4b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	41.9b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.8b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
	41.7b	(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	41.7b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.9b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	24.9b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
▶	31.2b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
	42.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	25.1b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	25.0b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	25.0b	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
	43.7b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	42.8b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	38.3b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	24.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	41.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.8b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	47.1b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	41.8b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.7b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	41.2b	(-.f64 (cos.f64 eps) 1)
▶	41.8b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
	41.8b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
▶	6.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.9b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	31.5b	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	43.4b	(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) 1))
	36.4b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	36.2b	(*.f64 (neg.f64 eps) (sin.f64 x))
	42.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	16.9b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	41.7b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	54.8b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	48.5b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.2b	(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.7b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1509 to 942 computations (37.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.9b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series12.0ms (0.1%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	0	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms	x	@	inf	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms	eps	@	0	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`associate-*r/`
1374×	`associate-*l/`
628×	`associate-+l+`
354×	`add-sqr-sqrt`
346×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	328	72
2	4890	72

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

Inputs
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify191.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-r`
1250×	`associate-l`
1010×	`+-commutative`
830×	`associate-/r*`
798×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`add-sqr-sqrt`
1348×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1244×	`add-cbrt-cube`
1232×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1718	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-/r*`
1544×	`associate-/l*`
1028×	`associate-r`
834×	`associate-l`
618×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	839
1	221	779
2	793	749
3	3991	749

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 eps (neg.f64 (sin.f64 x)))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`unswap-sqr`
774×	`swap-sqr`
464×	`sqr-pow`
458×	`pow-sqr`
376×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	282	46
2	3430	46

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(*.f64 eps (neg.f64 (sin.f64 x)))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 eps) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 eps) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 eps)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 3) eps) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) (-.f64 1 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (/.f64 1 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 eps (sin.f64 x)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 eps (sin.f64 x)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps 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simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-*r/`
1050×	`associate-*l/`
768×	`associate-+r+`
754×	`associate-+l+`
556×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	5622
1	637	5240
2	2953	5196

Stop Event

1×	node limit

Counts

134 → 170

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 0 (*.f64 eps (sin.f64 x)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) -1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)
(+.f64 (.f64 eps 0) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) 0) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 0 eps) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 0 (neg.f64 eps)) (.f64 eps (sin.f64 x)))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(/.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 eps (sin.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) eps) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) 1))
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)))
(+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) -1)
(+.f64 (-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 0) (.f64 eps (sin.f64 x)))
(+.f64 (-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x))))) 1)
(-.f64 0 (-.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) (-.f64 1 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 0) (.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x))))) 1)
(.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 1)
(.f64 1 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))
(.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (/.f64 1 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3))) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))))) (.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x))) (sqrt.f64 (.f64 eps (sin.f64 x)))) (-.f64 (sqrt.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x))) (sqrt.f64 (*.f64 eps (sin.f64 x)))))
(.f64 (+.f64 (.f64 (.f64 eps (sqrt.f64 -1/2)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (.f64 eps (sin.f64 x)))) (-.f64 (.f64 (.f64 eps (sqrt.f64 -1/2)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 eps (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) 1/6))
(/.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(/.f64 1 (/.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 3))))
(/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (-.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3))) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) 1) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2)) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) (-.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) 1))
(pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(fma.f64 -1 (.f64 eps x) (.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(-.f64 (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 eps (.f64 (pow.f64 x 5) -1/120))) (.f64 eps x))
(+.f64 (.f64 eps (-.f64 (.f64 1/6 (pow.f64 x 3)) x)) (.f64 eps (.f64 (pow.f64 x 5) -1/120)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 1/5040 (*.f64 eps (pow.f64 x 7))))))
(-.f64 (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 eps (.f64 (pow.f64 x 7) 1/5040)))) (*.f64 eps x))
(+.f64 (.f64 eps (-.f64 (.f64 1/6 (pow.f64 x 3)) x)) (.f64 eps (+.f64 (.f64 (pow.f64 x 5) -1/120) (*.f64 (pow.f64 x 7) 1/5040))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
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(.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))) 2) (/.f64 1 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))) 3)) (fma.f64 (.f64 1/4 (pow.f64 eps 4)) (pow.f64 (cos.f64 x) 2) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 (.f64 eps eps) (cos.f64 x)) 3))) (fma.f64 eps (.f64 (sin.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2))))) (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) 3))) (fma.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) (.f64 1/4 (*.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (-.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))) 3)) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (-.f64 (.f64 (pow.f64 eps 4) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 (.f64 eps eps) (cos.f64 x)) 3))) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (fma.f64 (.f64 1/4 (pow.f64 eps 4)) (pow.f64 (cos.f64 x) 2) (.f64 (.f64 eps (sin.f64 x)) (.f64 (cos.f64 x) (.f64 (*.f64 eps eps) 1/2))))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) 3))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (-.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3))) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))) 3)) (fma.f64 (.f64 1/4 (pow.f64 eps 4)) (pow.f64 (cos.f64 x) 2) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 (.f64 eps eps) (cos.f64 x)) 3))) (fma.f64 eps (.f64 (sin.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2))))) (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) 3))) (fma.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) (.f64 1/4 (*.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))) 3)) (fma.f64 (.f64 1/4 (pow.f64 eps 4)) (pow.f64 (cos.f64 x) 2) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 (.f64 eps eps) (cos.f64 x)) 3))) (fma.f64 eps (.f64 (sin.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2))))) (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) 3))) (fma.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) (.f64 1/4 (*.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) 1) (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))
(.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))) 2) (/.f64 1 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))) 2) (/.f64 1 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))
(.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))) 2) (/.f64 1 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))) 2)) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x)))) 2) (/.f64 1 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))))
(/.f64 (pow.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))) 2) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) (-.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 (pow.f64 eps 4) (.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (-.f64 (.f64 eps (sin.f64 x)) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 eps 4) -1/4))) (.f64 eps (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (.f64 eps (-.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (sin.f64 x))))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))))))) (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (.f64 eps -1/2) (cos.f64 x))))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps -1/2))))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x)))))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))))))
(pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2)
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3)
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) 1/3)
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))) 2))
(fabs.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2)))))
(fabs.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(log.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (*.f64 eps -1/2))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
✓	0.5b	(pow.f64 (cos.f64 (+.f64 x eps)) 3)
✓	1.0b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
	3.4b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cos.f64 (+.f64 x eps)) 3)
1.0ms	eps	@	0	(pow.f64 (cos.f64 (+.f64 x eps)) 3)
1.0ms	x	@	0	(pow.f64 (cos.f64 (+.f64 x eps)) 3)
1.0ms	x	@	inf	(pow.f64 (cos.f64 (+.f64 x eps)) 3)
1.0ms	eps	@	-inf	(pow.f64 (cos.f64 (+.f64 x eps)) 3)

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`associate-*r/`
848×	`distribute-rgt-in`
812×	`distribute-lft-in`
772×	`associate-*l/`
266×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	270	49
2	3366	49

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(pow.f64 (cos.f64 (+.f64 x eps)) 3)
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))

Outputs

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(-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 x eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))))

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`fma-def`
1160×	`associate-r`
1024×	`associate-l`
674×	`*-commutative`
614×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	677	15634
1	1937	15076

Stop Event

1×	node limit

Counts

304 → 395

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))
✓	0.1b	(*.f64 eps (sin.f64 x))
✓	3.0b	(*.f64 (sin.f64 x) (pow.f64 eps 3))
✓	6.8b	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

Compiler

Compiled 77 to 36 computations (53.2% saved)

series26.0ms (0.1%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	x	@	-inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	x	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`unswap-sqr`
1084×	`swap-sqr`
434×	`distribute-rgt-in`
376×	`distribute-lft-in`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	98
1	368	98
2	4237	98

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

Inputs
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
(*.f64 (sin.f64 x) (pow.f64 eps 3))
(*.f64 eps (sin.f64 x))
(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) 1) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (-.f64 1 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 eps (.f64 eps -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))))))

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1516×	`distribute-rgt-in`
1516×	`distribute-lft-in`
636×	`associate-r`
522×	`associate-l`
354×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	6032
1	725	6008
2	2935	5770

Stop Event

1×	node limit

Counts

160 → 164

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (pow.f64 eps 3) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x)))
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(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
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(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)))
(+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1))
(+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))
(+.f64 (.f64 1 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) 1) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (-.f64 1 (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)
(.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))) 1)
(.f64 1 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3)) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))) (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 1/2 (.f64 (.f64 eps eps) (cos.f64 x)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3))) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(/.f64 (.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 1/2 (.f64 (.f64 eps eps) (cos.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3)) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) eps))) 1)
(pow.f64 (*.f64 (sin.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 eps (*.f64 eps -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))

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

eval649.0ms (3.5%)

Compiler: Compiled 40037 to 15175 computations (62.1% saved)

prune608.0ms (3.3%)

Pruning

77 alts after pruning (75 fresh and 2 done)

	Pruned	Kept	Total
New	1443	59	1502
Fresh	21	16	37
Picked	1	0	1
Done	3	2	5
Total	1468	77	1545

Error

0.1b

Counts

1545 → 77

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2)))
	31.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	46.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x)))
▶	31.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	41.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	41.2b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	36.2b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.7b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.9b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))
	42.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	25.2b	(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	25.0b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	25.2b	(-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	33.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
▶	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
	61.3b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	38.3b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	46.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
	31.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	61.4b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	58.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	24.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	45.9b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	31.2b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	41.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
▶	41.8b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.8b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	55.2b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.2b	(-.f64 (cos.f64 eps) 1)
	25.3b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)) (cos.f64 x))
	25.3b	(-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) 3)) (cos.f64 x))
	41.4b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x))
	31.5b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.3b	(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 6)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.3b	(+.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	11.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	41.8b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	21.2b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.2b	(+.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	16.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	10.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	33.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.0b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	58.7b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.5b	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	61.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	42.8b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	41.3b	(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
	48.8b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	36.4b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	36.2b	(*.f64 (neg.f64 eps) (sin.f64 x))
	31.0b	(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
	45.9b	(.f64 eps (-.f64 (.f64 eps -1/2) x))
	50.4b	(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
▶	50.5b	(.f64 eps (.f64 eps -1/2))
	16.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (fma.f64 2 x eps) 2))))
	54.5b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	58.2b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.3b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	41.7b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	61.3b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	41.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	48.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	62.4b	(exp.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	41.3b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2483 to 1695 computations (31.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	0.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	1.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series6.0ms (0%)

Counts

4 → 64

Calls

24 calls:

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

rewrite150.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`associate-*r/`
1440×	`associate-*l/`
462×	`associate-+l+`
338×	`+-commutative`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	295	92
2	4310	72

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

Inputs
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 eps) (cos.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 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(2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))))

simplify182.0ms (1%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
846×	`+-commutative`
822×	`associate-l`
688×	`associate-+r+`
528×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	23178
1	2247	21630

Stop Event

1×	node limit

Counts

368 → 507

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(*.f64 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2))) (/.f64 1 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) 3)) (/.f64 1 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 1 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 1 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) 2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) -2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 eps (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/40320 (.f64 (cos.f64 x) (pow.f64 eps 8)) (fma.f64 -1/720 (.f64 (cos.f64 x) (pow.f64 eps 6)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (*.f64 x x))) -1)
(+.f64 (cos.f64 eps) (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)) (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (*.f64 x x) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x) (.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) 1))
(+.f64 (fma.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x) (.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (.f64 x (sin.f64 eps)))
(.f64 (sin.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (.f64 x (sin.f64 eps)))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 x (.f64 -1/5040 (pow.f64 x 7)))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (.f64 (.f64 -1/6 (pow.f64 eps 3)) (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 (*.f64 -1/6 (pow.f64 eps 3)) (sin.f64 x))))
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(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 1/2))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2)
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(/.f64 (.f64 1/2 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))) 1/2)
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (cos.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (cos.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))

localize59.0ms (0.3%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (+.f64 (cos.f64 eps) -1))
✓	1.9b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
✓	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(exp.f64 (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	0	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
0.0ms	eps	@	0	(+.f64 (cos.f64 eps) -1)
0.0ms	eps	@	-inf	(exp.f64 (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	inf	(exp.f64 (+.f64 (cos.f64 eps) -1))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`add-sqr-sqrt`
1582×	`*-un-lft-identity`
1468×	`add-cube-cbrt`
1454×	`add-cbrt-cube`
1440×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	176	37
2	1935	37

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

912×	`associate--r+`
832×	`unswap-sqr`
812×	`associate-+r-`
770×	`associate-+l-`
716×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2679
1	353	2555
2	1428	2299
3	6006	2299

Stop Event

1×	node limit

Counts

125 → 87

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)
(*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))
(*.f64 (exp.f64 -1) (exp.f64 (cos.f64 eps)))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (exp.f64 1) (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (pow.f64 eps 4) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (+.f64 (fma.f64 1/6 (pow.f64 eps 4) 1) (.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 1)))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.f64 (cos.f64 eps) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.f64 (cos.f64 eps) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (exp.f64 -1) (exp.f64 (cos.f64 eps)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 1) (+.f64 (cos.f64 eps) -1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (cos.f64 (+.f64 x eps)))
✓	0.6b	(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
	3.4b	(cos.f64 (+.f64 x eps))
✓	10.2b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp.f64 (cos.f64 (+.f64 x eps)))
1.0ms	eps	@	0	(exp.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	inf	(exp.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
0.0ms	x	@	inf	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

rewrite148.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`*-commutative`
832×	`associate-*r/`
718×	`distribute-lft-in`
704×	`distribute-rgt-in`
642×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	232	47
2	3067	47

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

Inputs
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (cos.f64 (+.f64 x eps)))

Outputs

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eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 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eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 x) 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eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (exp.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (exp.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (exp.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))))

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate--r+`
1092×	`fma-def`
730×	`associate-r`
638×	`associate-l`
546×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	12989
1	1592	12305
2	7342	12305

Stop Event

1×	node limit

Counts

275 → 363

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
✓	0.1b	(/.f64 (neg.f64 eps) (sin.f64 x))
✓	0.3b	(pow.f64 (sin.f64 x) 2)
✓	10.0b	(*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2))

Compiler

Compiled 57 to 22 computations (61.4% saved)

series9.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

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

rewrite128.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`associate-*r/`
1096×	`associate-/r*`
976×	`associate-/l*`
870×	`associate-*l/`
354×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	353	100
2	4477	100

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

Inputs
(*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 eps) (sin.f64 x))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))

Outputs
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simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-/l*`
894×	`associate-r`
772×	`associate-l`
686×	`times-frac`
616×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	624	10010
1	1597	7770

Stop Event

1×	node limit

Counts

314 → 365

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(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 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps x))
(+.f64 (.f64 -1/6 (.f64 eps x)) (*.f64 -1 (/.f64 eps x)))
(+.f64 (.f64 (+.f64 (.f64 -1/36 eps) (.f64 1/120 eps)) (pow.f64 x 3)) (+.f64 (.f64 -1/6 (.f64 eps x)) (.f64 -1 (/.f64 eps x))))
(+.f64 (.f64 (+.f64 (.f64 1/720 eps) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 eps) (.f64 1/120 eps))) (.f64 -1/5040 eps))) (pow.f64 x 5)) (+.f64 (.f64 (+.f64 (.f64 -1/36 eps) (.f64 1/120 eps)) (pow.f64 x 3)) (+.f64 (.f64 -1/6 (.f64 eps x)) (.f64 -1 (/.f64 eps x)))))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
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(/.f64 (/.f64 (/.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 1)
(pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 eps (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 3) 1/3)
(neg.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (/.f64 eps (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(-.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 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.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 (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 (.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 x x))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 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))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 0 (/.f64 eps (sin.f64 x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 eps (sin.f64 x))))) 1)
(+.f64 (-.f64 0 (/.f64 0 (sin.f64 x))) (/.f64 eps (sin.f64 x)))
(+.f64 (-.f64 (/.f64 0 (sin.f64 x)) 0) (/.f64 eps (sin.f64 x)))
(+.f64 (-.f64 (/.f64 0 (sin.f64 x)) (exp.f64 (log1p.f64 (/.f64 eps (sin.f64 x))))) 1)
(+.f64 (-.f64 (/.f64 0 (sin.f64 x)) (/.f64 0 (sin.f64 x))) (/.f64 eps (sin.f64 x)))
(-.f64 0 (/.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (sin.f64 x)))) 1)
(-.f64 (/.f64 0 (sin.f64 x)) (/.f64 eps (sin.f64 x)))
(*.f64 eps (/.f64 1 (sin.f64 x)))
(*.f64 eps (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 eps (sin.f64 x)) 1)
(*.f64 1 (/.f64 eps (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 eps (sin.f64 x))) (sqrt.f64 (/.f64 eps (sin.f64 x))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 eps (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (sin.f64 x))) 2) (cbrt.f64 (/.f64 eps (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (sin.f64 x))))
(*.f64 -1 (/.f64 eps (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) eps)
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 eps (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 eps (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (/.f64 eps (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 eps (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 eps (sin.f64 x))))
(pow.f64 (/.f64 eps (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) eps) -1)
(neg.f64 (/.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 eps (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(+.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) (.f64 (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) 1))
(+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))
(+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 1) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) (-.f64 1 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (exp.f64 (log1p.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 1) (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))) 1)
(.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 1)
(.f64 1 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 2) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4))) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 3) (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3)) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4)) (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4)))) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 3) (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3))) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4)) (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4))) 1) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 3) (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3)) 1) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4)) (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))))
(pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(fma.f64 -1 (.f64 eps x) (.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(-.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(-.f64 (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 eps (.f64 (pow.f64 x 5) -1/120))) (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 1/5040 (*.f64 eps (pow.f64 x 7))))))
(-.f64 (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/5040 (.f64 eps (pow.f64 x 7)) (.f64 (pow.f64 x 3) (.f64 eps 1/6)))) (*.f64 eps x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
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(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3))) (-.f64 (fma.f64 (pow.f64 eps 4) (.f64 1/4 (.f64 (cos.f64 x) (cos.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 (cos.f64 x)) (pow.f64 eps 3)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4))) 1) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 4) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 -1/2 (cos.f64 x)))) (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (/.f64 eps (sin.f64 x)) 2))) (fma.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)) (.f64 (neg.f64 eps) (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))
(/.f64 (fma.f64 (pow.f64 eps 4) (.f64 1/4 (.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2))) (.f64 eps (-.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))) 3) (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3)) 1) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (/.f64 eps (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 4)) (.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) eps)) 3) (pow.f64 (.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps))) 3)) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 -1/2 (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (/.f64 eps (sin.f64 x)) 2)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) eps)) (.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3))) (-.f64 (fma.f64 (pow.f64 eps 4) (.f64 1/4 (.f64 (cos.f64 x) (cos.f64 x))) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 (cos.f64 x)) (pow.f64 eps 3)))))
(pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 1)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 2)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))) 2))
(fabs.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(log.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))) 3))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) 1))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps))))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))

eval458.0ms (2.5%)

Compiler: Compiled 35067 to 12001 computations (65.8% saved)

prune478.0ms (2.6%)

Pruning

91 alts after pruning (86 fresh and 5 done)

	Pruned	Kept	Total
New	1359	41	1400
Fresh	25	45	70
Picked	1	0	1
Done	1	5	6
Total	1386	91	1477

Error

0.0b

Counts

1477 → 91

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) -1) (/.f64 (sin.f64 x) eps)))
	40.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 eps (*.f64 eps (neg.f64 eps)))))
	31.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	46.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (-.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (*.f64 eps x)))
	36.3b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))
	36.4b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
	28.7b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	41.7b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	6.1b	(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (-.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x))))
	24.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	41.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	41.2b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	49.7b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
	36.2b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.7b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	37.3b	(-.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.9b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))
	42.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	6.4b	(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (cos.f64 x))))) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) 1) (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	6.2b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (cos.f64 x))))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.3b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	25.0b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	25.2b	(-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	10.0b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	35.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3))
	33.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
▶	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
✓	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	25.0b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps))))))
	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	20.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
	10.1b	(-.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
	33.9b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	36.3b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	21.2b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	29.8b	(-.f64 (+.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	61.3b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	38.3b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	46.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
	31.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	6.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	31.5b	(-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	24.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	45.9b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	31.0b	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
	31.2b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	41.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	6.2b	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.4b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
	41.8b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	55.2b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.2b	(-.f64 (cos.f64 eps) 1)
	25.3b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)) (cos.f64 x))
	6.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.4b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x))
	24.6b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	41.8b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	6.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	6.7b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	31.5b	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	61.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	42.8b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	48.8b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	36.2b	(*.f64 (neg.f64 eps) (sin.f64 x))
	31.0b	(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
▶	45.9b	(.f64 eps (-.f64 (.f64 eps -1/2) x))
✓	50.5b	(.f64 eps (.f64 eps -1/2))
	50.4b	(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
	16.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	54.5b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	58.2b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.3b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
▶	41.4b	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
	41.3b	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
	41.7b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	61.3b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	41.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.2b	(log.f64 1)
	48.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	62.4b	(exp.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	41.3b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 3086 to 2043 computations (33.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
✓	0.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
	1.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))

Compiler

Compiled 59 to 12 computations (79.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
0.0ms	eps	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
0.0ms	x	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
0.0ms	eps	@	-inf	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
0.0ms	x	@	-inf	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-*r/`
1496×	`associate-*l/`
474×	`associate-+l+`
354×	`+-commutative`
344×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	328	56
2	4466	36

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> 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(sin.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 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(sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (fma.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (cos.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 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(sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))))))

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-+r+`
1296×	`associate-+l+`
1292×	`+-commutative`
932×	`fma-def`
672×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	15994
1	1619	14684
2	6272	14684

Stop Event

1×	node limit

Counts

256 → 326

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 eps (-.f64 (.f64 eps -1/2) x))

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1688×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2240	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 x x))) (fma.f64 eps -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 3) -1/8) (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 x (fma.f64 eps -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 x x)) eps) (fma.f64 eps -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps 3) -1/8) (pow.f64 x 3)) eps) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 x (fma.f64 eps -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))))))

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1310×	`fma-def`
936×	`associate-r`
838×	`associate-l`
630×	`log-prod`
500×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	919
1	176	919
2	492	919
3	3104	919
4	7035	919

Stop Event

1×	node limit

Counts

43 → 35

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(exp.f64 (+.f64 (cos.f64 eps) -1))
✓	0.5b	(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)
✓	1.9b	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 30 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
0.0ms	eps	@	-inf	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
0.0ms	eps	@	inf	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
0.0ms	eps	@	0	(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)
0.0ms	eps	@	-inf	(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`associate-*r/`
954×	`associate-*l/`
902×	`*-commutative`
764×	`distribute-lft-in`
284×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	253	26
2	3284	26

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

Inputs
(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))) (log1p.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 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eps)) (exp.f64 -1) 1) 2)))) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1)))) 1) (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1))) (expm1.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 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(pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (sqrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) (sqrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) 2) (cbrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) -1)))))

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-/r/`
860×	`+-commutative`
668×	`associate-/l/`
534×	`associate--r+`
496×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	10158
1	1302	9680
2	5460	9642

Stop Event

1×	node limit

Counts

204 → 286

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 0 (cos.f64 eps)) -1)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))) (log1p.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(-.f64 (+.f64 -1 (+.f64 1 (cos.f64 eps))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)))) (log1p.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))) (log.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(-.f64 (+.f64 0 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps))))) 1)
(-.f64 (+.f64 0 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))) (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))
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(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) 1) (.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (*.f64 -1 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1))) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1))) (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) 3) 1) (.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2) (+.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) 3) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)) (+.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) 3) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (.f64 -1 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1))) (+.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))) (neg.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1))))) (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))) (+.f64 1 (-.f64 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1))) (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)))) (neg.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)))) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (.f64 (-.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1)))) 1) (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 1 (-.f64 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (expm1.f64 (+.f64 (cos.f64 eps) -1))) (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))) 1) (neg.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) 1) (/.f64 1 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) 3) 1) (/.f64 1 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (+.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (+.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3) (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (sqrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (cbrt.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (E.f64) (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(fma.f64 1 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) (sqrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) 2) (cbrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) -1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (pow.f64 eps 4) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (+.f64 (fma.f64 1/6 (pow.f64 eps 4) 1) (.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 1)))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
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(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 2 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 1 (*.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 2 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 2 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 1 (*.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2) (+.f64 2 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 2 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) 3)) (+.f64 1 (*.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 2))))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (E.f64) (+.f64 (cos.f64 eps) -1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(fabs.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(fma.f64 1 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) -1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(fma.f64 (sqrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) (sqrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) -1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) 2) (cbrt.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1)) -1)
(exp.f64 (+.f64 (cos.f64 eps) -1))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x))))
✓	0.3b	(log1p.f64 (cos.f64 x))
✓	0.6b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	3.4b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 41 to 11 computations (73.2% saved)

series77.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
28.0ms	eps	@	inf	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
12.0ms	x	@	-inf	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
3.0ms	x	@	-inf	(+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x))))
1.0ms	eps	@	0	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`associate-*r/`
1418×	`associate-*l/`
380×	`associate-+l+`
324×	`associate-/r*`
318×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	284	57
2	3898	57

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(log1p.f64 (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (-.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))) (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2)) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1)) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 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(cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) 1) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (+.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (cos.f64 (+.f64 x eps))))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 x) 1) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 x) 1))))))

simplify150.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-+r+`
1014×	`+-commutative`
884×	`associate-*r/`
546×	`associate-*l/`
474×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	13914
1	1333	13504
2	5039	13398

Stop Event

1×	node limit

Counts

248 → 336

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 1 (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (.f64 -1 (.f64 x (sin.f64 eps)))))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 2 (cos.f64 x))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (+.f64 (cos.f64 x) 1))
(log.f64 (+.f64 (cos.f64 x) 1))
(log.f64 (+.f64 (cos.f64 x) 1))
(log.f64 (+.f64 (cos.f64 x) 1))
(+.f64 2 (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 2 (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 2 (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 2 (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 x 2)) (.f64 -1 (.f64 x (sin.f64 eps)))))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 (cos.f64 x) (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(+.f64 (cos.f64 x) (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(+.f64 (cos.f64 x) (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(+.f64 (cos.f64 x) (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(+.f64 1 (*.f64 2 (cos.f64 x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 2 (cos.f64 x))))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 1 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(+.f64 (cos.f64 x) (+.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1)))
(+.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) -1)
(+.f64 1 (+.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -1)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 -1 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) 1))
(+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (-.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))) (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3))))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) -1) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2)) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) -1)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
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(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (neg.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (.f64 1 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1)) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))) (neg.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 2) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) 1) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) 1) (neg.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 1)) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 2)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) 3)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (+.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (cos.f64 (+.f64 x eps))))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) 1) (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)) 1) (+.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (cos.f64 (+.f64 x eps))))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps)))))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 (+.f64 x eps))))))))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)) 3))
(expm1.f64 (log.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 2))))
(exp.f64 (log1p.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1))
(fma.f64 1 (+.f64 (cos.f64 x) 1) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 x) 1))

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3)
	1.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
✓	8.5b	(cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))

Compiler

Compiled 62 to 16 computations (74.2% saved)

series19.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3)
2.0ms	x	@	inf	(cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
1.0ms	eps	@	-inf	(cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
1.0ms	eps	@	inf	(cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`*-commutative`
776×	`sqrt-prod`
712×	`unswap-sqr`
528×	`swap-sqr`
386×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	228	34
2	2557	34

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1/6) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 x (+.f64 eps (+.f64 x eps))) 1/2)) (sin.f64 (*.f64 (+.f64 (-.f64 x eps) (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 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eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))))

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-/l*`
1186×	`distribute-lft-in`
1178×	`distribute-rgt-in`
980×	`associate-/r*`
622×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	7237
1	890	6295
2	3082	6253

Stop Event

1×	node limit

Counts

181 → 211

Calls

Call 1

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

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

eval757.0ms (4.1%)

Compiler: Compiled 48981 to 20161 computations (58.8% saved)

prune672.0ms (3.7%)

Pruning

99 alts after pruning (92 fresh and 7 done)

	Pruned	Kept	Total
New	1739	36	1775
Fresh	25	56	81
Picked	1	0	1
Done	2	7	9
Total	1767	99	1866

Error

0.0b

Counts

1866 → 99

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) -1) (/.f64 (sin.f64 x) eps)))
	40.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 eps (*.f64 eps (neg.f64 eps)))))
	31.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	46.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (-.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (*.f64 eps x)))
	36.3b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))
	36.4b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
	28.7b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	41.7b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	6.1b	(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (-.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))
	24.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	24.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	41.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.3b	(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
	41.2b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	49.7b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))
	36.2b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.7b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.2b	(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
	24.9b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))
	42.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	6.9b	(-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (cos.f64 x) 3))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3))
	6.7b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 4) (pow.f64 (cos.f64 x) 4)) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	35.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3))
	7.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) 3) 3))
	23.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))))) 1) 3))
	6.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 eps))) 3))
	33.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	6.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))))) 3))
	35.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
✓	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	25.0b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps))))))
	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	20.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
	10.1b	(-.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	33.9b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	36.3b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	21.6b	(-.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3))
	21.2b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	61.3b	(-.f64 (+.f64 (+.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) 1)
	60.5b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (+.f64 (log.f64 2) (.f64 (.f64 x x) -1/4)))) 1)
	61.3b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log.f64 2))) 1)
	61.2b	(-.f64 (+.f64 (cos.f64 eps) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	61.3b	(-.f64 (+.f64 (cos.f64 eps) 2) 1)
	38.3b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	61.7b	(-.f64 (+.f64 1 (*.f64 2 (cos.f64 x))) 1)
	41.3b	(-.f64 (+.f64 1 (cos.f64 eps)) 2)
	46.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
	31.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	6.7b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
	6.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.2b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	31.5b	(-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.9b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	24.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	45.9b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	31.0b	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
	31.2b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	41.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	6.2b	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.4b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
	61.3b	(-.f64 (fabs.f64 (+.f64 (cos.f64 x) (+.f64 1 (cos.f64 (+.f64 eps x))))) 1)
	41.8b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.2b	(-.f64 (cos.f64 eps) 1)
	25.3b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)) (cos.f64 x))
	6.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.4b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x))
	24.6b	(+.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	41.8b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	6.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	31.5b	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	61.3b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.3b	(+.f64 1 (+.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -1)))
	61.3b	(+.f64 1 (cos.f64 eps))
	42.8b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	41.4b	(*.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
	48.8b	(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
	36.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
	41.5b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
	51.0b	(*.f64 x (neg.f64 eps))
	31.0b	(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
✓	45.9b	(.f64 eps (-.f64 (.f64 eps -1/2) x))
✓	50.5b	(.f64 eps (.f64 eps -1/2))
	61.7b	(*.f64 2 (cos.f64 x))
	16.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	58.2b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.3b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
✓	41.4b	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
	41.7b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
✓	41.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.2b	(log.f64 1)
	54.5b	(fabs.f64 (+.f64 (cos.f64 eps) -1))
	48.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	62.4b	(exp.f64 (log.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.3b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1579 to 1096 computations (30.6% saved)

regimes636.0ms (3.5%)

Counts

179 → 3

Calls

Call 1

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

Outputs

(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))

(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))

(+.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))

Calls

3 calls:

287.0ms	eps
236.0ms	x
51.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2955 to 1062 computations (64.1% saved)

bsearch95.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	2.0226952628114444e-10	35.39040622873668
37.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

44.0ms	186×	body	256	valid
26.0ms	70×	body	1024	valid
13.0ms	42×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 1204 to 798 computations (33.7% saved)

regimes587.0ms (3.2%)

Counts

160 → 3

Calls

Call 1

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

Outputs

(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))

(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))

(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

Calls

3 calls:

239.0ms	eps
231.0ms	x
71.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2173 to 785 computations (63.9% saved)

bsearch104.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.0226952628114444e-10	35.39040622873668
60.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

34.0ms	35×	body	512	valid
33.0ms	75×	body	1024	valid
25.0ms	185×	body	256	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 1084 to 758 computations (30.1% saved)

regimes427.0ms (2.3%)

Counts

141 → 3

Calls

Call 1

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

Outputs

(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))

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

(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

Calls

3 calls:

181.0ms	eps
163.0ms	x
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1731 to 653 computations (62.3% saved)

bsearch82.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	2.0226952628114444e-10	35.39040622873668
36.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

37.0ms	78×	body	1024	valid
26.0ms	181×	body	256	valid
10.0ms	40×	body	512	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 837 to 587 computations (29.9% saved)

regimes402.0ms (2.2%)

Counts

140 → 3

Calls

Call 1

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

Outputs

(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

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

(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

Calls

3 calls:

166.0ms	x
163.0ms	eps
38.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1710 to 647 computations (62.2% saved)

bsearch75.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.0226952628114444e-10	35.39040622873668
34.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

31.0ms	77×	body	1024	valid
26.0ms	193×	body	256	valid
7.0ms	27×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 774 to 542 computations (30% saved)

regimes492.0ms (2.7%)

Counts

116 → 3

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))

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

(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))

Calls

3 calls:

291.0ms	x
140.0ms	eps
31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1305 to 540 computations (58.6% saved)

bsearch117.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	2.0226952628114444e-10	35.39040622873668
37.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

30.0ms	74×	body	1024	valid
25.0ms	185×	body	256	valid
8.0ms	34×	body	512	valid
8.0ms	11×	body	2048	valid

Compiler

Compiled 765 to 551 computations (28% saved)

regimes359.0ms (2%)

Counts

105 → 3

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))

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

(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))

Calls

3 calls:

163.0ms	eps
141.0ms	x
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	3	`x`
0.6b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1129 to 487 computations (56.9% saved)

bsearch135.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
97.0ms	2.0226952628114444e-10	35.39040622873668
36.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

89.0ms	70×	body	1024	valid
26.0ms	190×	body	256	valid
9.0ms	37×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 755 to 561 computations (25.7% saved)

regimes430.0ms (2.4%)

Counts

98 → 3

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))

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

(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))

Calls

3 calls:

158.0ms	eps
140.0ms	x
29.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	3	`x`
0.6b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 996 to 429 computations (56.9% saved)

bsearch117.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	2.0226952628114444e-10	35.39040622873668
38.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

59.0ms	170×	body	256	valid
34.0ms	79×	body	1024	valid
12.0ms	45×	body	512	valid
6.0ms	10×	body	2048	valid

Compiler

Compiled 755 to 523 computations (30.7% saved)

regimes161.0ms (0.9%)

Counts

94 → 1

Calls

Call 1

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

Outputs
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))

Calls

3 calls:

71.0ms	x
40.0ms	eps
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.9b	1	`x`
16.9b	1	`eps`
16.9b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 937 to 411 computations (56.1% saved)

regimes112.0ms (0.6%)

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (+.f64 (cos.f64 eps) 2) 1)
(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(+.f64 1 (+.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -1)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (+.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) 1)
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))

Outputs
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

45.0ms	x
41.0ms	eps
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.8b	3	`x`
16.5b	3	`eps`
17.8b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 259 to 124 computations (52.1% saved)

bsearch80.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	2.0226952628114444e-10	35.39040622873668
35.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

33.0ms	192×	body	256	valid
30.0ms	72×	body	1024	valid
8.0ms	34×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 459 to 350 computations (23.7% saved)

regimes423.0ms (2.3%)

Counts

28 → 3

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (+.f64 (cos.f64 eps) 2) 1)
(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))

Outputs
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

324.0ms	x
76.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.9b	3	`x`
16.6b	3	`eps`
18.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 204 to 100 computations (51% saved)

bsearch101.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	2.0226952628114444e-10	35.39040622873668
34.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

55.0ms	185×	body	256	valid
30.0ms	81×	body	1024	valid
8.0ms	34×	body	512	valid
4.0ms	4×	body	2048	valid

Compiler

Compiled 440 to 331 computations (24.8% saved)

regimes75.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (+.f64 (cos.f64 eps) 2) 1)
(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))

Outputs
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

45.0ms	x
26.0ms	eps

Results

Error	Segments	Branch
25.6b	5	`x`
16.8b	3	`eps`

Compiler

Compiled 131 to 75 computations (42.7% saved)

bsearch128.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
91.0ms	2.0226952628114444e-10	35.39040622873668
37.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

75.0ms	177×	body	256	valid
31.0ms	83×	body	1024	valid
11.0ms	36×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 430 to 331 computations (23% saved)

regimes111.0ms (0.6%)

Counts

17 → 4

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (+.f64 (cos.f64 eps) 2) 1)
(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))

Outputs
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

42.0ms	x
39.0ms	eps

Results

Error	Segments	Branch
25.6b	5	`x`
21.1b	4	`eps`

Compiler

Compiled 116 to 68 computations (41.4% saved)

bsearch123.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
31.0ms	35.39040622873668	57562.46282568624
47.0ms	1.9926623962025062e-69	1.3315186650856324e-66
45.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

50.0ms	109×	body	1024	valid
26.0ms	103×	body	512	valid
24.0ms	162×	body	256	valid
17.0ms	26×	body	2048	valid

Compiler

Compiled 465 to 362 computations (22.2% saved)

regimes112.0ms (0.6%)

Counts

16 → 4

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (+.f64 (cos.f64 eps) 2) 1)
(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (cos.f64 x))) 1)

Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

73.0ms	eps
36.0ms	x

Results

Error	Segments	Branch
25.6b	5	`x`
21.1b	4	`eps`

Compiler

Compiled 108 to 62 computations (42.6% saved)

bsearch158.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
69.0ms	35.39040622873668	57562.46282568624
54.0ms	1.9926623962025062e-69	1.3315186650856324e-66
34.0ms	-474.8782119811951	-1.2249910301003844e-5

Results

66.0ms	110×	body	512	valid
48.0ms	102×	body	1024	valid
23.0ms	167×	body	256	valid
16.0ms	21×	body	2048	valid

Compiler

Compiled 429 to 326 computations (24% saved)

regimes71.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)

Outputs
(-.f64 (cos.f64 eps) 1)
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

54.0ms	x
15.0ms	eps

Results

Error	Segments	Branch
38.2b	5	`x`
31.3b	3	`eps`

Compiler

Compiled 62 to 38 computations (38.7% saved)

bsearch65.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	35.39040622873668	57562.46282568624
33.0ms	-1.2249910301003844e-5	-2.4211865125596077e-10

Results

31.0ms	76×	body	1024	valid
21.0ms	150×	body	256	valid
6.0ms	25×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 286 to 218 computations (23.8% saved)

regimes14.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(log.f64 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))

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

Calls

2 calls:

7.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
45.9b	1	`x`
45.9b	1	`eps`

Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes63.0ms (0.3%)

Accuracy

Total -9.5b remaining (-20.4%)

Threshold costs -9.5b (-20.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))

Outputs
(*.f64 x (neg.f64 eps))
(.f64 eps (.f64 eps -1/2))
(*.f64 x (neg.f64 eps))

Calls

2 calls:

55.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
46.6b	3	`x`
47.9b	3	`eps`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch126.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	6.785475312744951e-97	3.383334843947137e-96
71.0ms	-8.421332961052545e-83	-2.3655475611727825e-95

Results

80.0ms	143×	body	1024	valid
29.0ms	47×	body	2048	valid
8.0ms	31×	body	512	valid
5.0ms	35×	body	256	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative`
62×	`+-commutative`
28×	`sub-neg`
18×	`neg-sub0`
16×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	173	1857
1	266	1849
2	300	1849
3	312	1849
4	315	1849

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -6456360425798343/2305843009213693952) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 4842270319348757/2305843009213693952) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))) (+.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/1152921504606846976) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -1152921504606847/9223372036854775808) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5534023222112865/36893488147419103232) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -3602879701896397/288230376151711744) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5072854620270127/1152921504606846976) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 8762203435012037/4611686018427387904) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -208967022709991/36028797018963968) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 3458764513820541/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -8264141345021879/147573952589676412928) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7673845534663173/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2466278867083445/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -1770887431076117/147573952589676412928) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 36) (.f64 eps (-.f64 (.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(if (<=.f64 x -2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 x (neg.f64 eps)) (if (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 eps (.f64 eps -1/2)) (.f64 x (neg.f64 eps))))
(*.f64 x (neg.f64 eps))

Outputs
(if (<=.f64 eps -6456360425798343/2305843009213693952) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 4842270319348757/2305843009213693952) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))) (+.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 4842270319348757/2305843009213693952) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (neg.f64 eps))))) (+.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 4842270319348757/2305843009213693952) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 eps (sin.f64 x))))) (+.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -3112888062438487/1152921504606846976) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -3112888062438487/1152921504606846976) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (neg.f64 eps))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))))
(if (<=.f64 eps -3112888062438487/1152921504606846976) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 eps (sin.f64 x))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (or (<=.f64 eps -5188146770730811/1152921504606846976) (not (<=.f64 eps 1498797955988901/288230376151711744))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 eps -1498797955988901/288230376151711744) (not (<=.f64 eps 3170534137668829/576460752303423488))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1152921504606847/9223372036854775808) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5534023222112865/36893488147419103232) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 eps -1152921504606847/9223372036854775808) (not (<=.f64 eps 5534023222112865/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) -1/2) (.f64 eps (.f64 (sin.f64 x) 1/6)))) (.f64 eps (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -3602879701896397/288230376151711744) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 1080863910568919/36028797018963968) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5072854620270127/1152921504606846976) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 8762203435012037/4611686018427387904) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -208967022709991/36028797018963968) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 3458764513820541/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -208967022709991/36028797018963968) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 3458764513820541/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
(if (<=.f64 eps -8264141345021879/147573952589676412928) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -8264141345021879/147573952589676412928) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -8264141345021879/147573952589676412928) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -7673845534663173/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2466278867083445/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7673845534663173/590295810358705651712) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 2466278867083445/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -7673845534663173/590295810358705651712) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 2466278867083445/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 36) (.f64 eps (-.f64 (*.f64 eps -1/2) x)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -1770887431076117/147573952589676412928) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 36) (.f64 eps (-.f64 (.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -1770887431076117/147573952589676412928) (not (<=.f64 eps 36))) (+.f64 (cos.f64 eps) -1) (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(if (<=.f64 x -2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 x (neg.f64 eps)) (if (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 eps (.f64 eps -1/2)) (.f64 x (neg.f64 eps))))
(if (or (<=.f64 x -2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))) (.f64 x (neg.f64 eps)) (.f64 eps (*.f64 eps -1/2)))
(if (or (<=.f64 x -2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))) (.f64 (neg.f64 x) eps) (.f64 eps (*.f64 eps -1/2)))
(if (or (<=.f64 x -2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))) (.f64 eps (neg.f64 x)) (.f64 eps (*.f64 eps -1/2)))
(*.f64 x (neg.f64 eps))
(*.f64 (neg.f64 x) eps)
(*.f64 eps (neg.f64 x))

Compiler

Compiled 665 to 413 computations (37.9% saved)

soundness205.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1518×	`associate-+r+`
1320×	`associate-r`
1296×	`associate-+l+`
1292×	`+-commutative`
1250×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545
0	577	15994
1	1619	14684
2	6272	14684

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 289 to 62 computations (78.5% saved)

end235.0ms (1.3%)

Compiler: Compiled 633 to 307 computations (51.5% saved)

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21