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)

sample4.7s (33.8%)

Results

2.4s	3647×	body	1024	valid
1.3s	1265×	body	2048	valid
537.0ms	1381×	body	512	valid
506.0ms	1961×	body	256	valid
2.0ms	2×	body	4096	valid

Bogosity

preprocess18.0ms (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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0.1%)

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 (sin.f64 (+.f64 x eps)) (sin.f64 x))

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

57.03%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.03%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(sin.f64 x)
✓	2.43%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.98%	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`*-commutative`
910×	`associate-*r/`
790×	`distribute-lft-in`
770×	`distribute-rgt-in`
700×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	211	37
2	3108	37

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

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

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

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1132×	`+-commutative`
888×	`fma-def`
810×	`associate-r`
804×	`associate-+r-`
784×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	10109
1	1335	9671
2	7075	9671

Stop Event

1×	node limit

Counts

221 → 278

Calls

Call 1

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

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

eval74.0ms (0.5%)

Compiler: Compiled 6705 to 2193 computations (67.3% saved)

prune74.0ms (0.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	248	30	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	249	30	279

Error

0.16%

Counts

279 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.29%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	57.84%	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	57.5%	(/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
	57.15%	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	36.09%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	36.12%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	58.26%	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	39.26%	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x))
	42.25%	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))) (sin.f64 x))
	36.12%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	58.96%	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	60.12%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	58.38%	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	58.45%	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	57.1%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	59.22%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	95.69%	(-.f64 (sin.f64 x) (sin.f64 x))
	57.74%	(-.f64 (sin.f64 eps) (sin.f64 x))
	74.63%	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	57.16%	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	46.47%	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	71.92%	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
▶	0.31%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	49.3%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
▶	44.65%	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	57.47%	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	36.17%	(+.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
▶	43.66%	(*.f64 (cos.f64 x) eps)
▶	20.61%	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	75.35%	(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

Compiler

Compiled 1004 to 622 computations (38% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 eps)
✓	0.21%	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.23%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	2.71%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts

4 → 64

Calls

18 calls:

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

rewrite148.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`swap-sqr`
770×	`associate-*r/`
658×	`distribute-rgt-in`
658×	`associate-*l/`
620×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	287	74
2	3532	74

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cos.f64 eps)

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

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-r`
842×	`associate-l`
836×	`+-commutative`
674×	`associate-/l*`
614×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	10541
1	1457	10371
2	6935	10359

Stop Event

1×	node limit

Counts

279 → 348

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 x)
✓	0.12%	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`add-sqr-sqrt`
1272×	`*-un-lft-identity`
1170×	`add-cube-cbrt`
1152×	`add-cbrt-cube`
1138×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	135	16
2	1583	16

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-def`
1158×	`associate-+r+`
1098×	`associate-+l+`
1014×	`distribute-lft-in`
998×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	673
1	199	569
2	877	457
3	2664	443

Stop Event

1×	node limit

Counts

39 → 59

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.32%	(.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
✓	4.02%	(cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))

Compiler

Compiled 88 to 34 computations (61.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`*-commutative`
664×	`associate-*r/`
510×	`associate-*l/`
502×	`distribute-lft-in`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	347	38
2	5227	38

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1678×	`fma-def`
1048×	`unswap-sqr`
818×	`*-commutative`
756×	`distribute-lft-in`
632×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3255
1	624	2727
2	2307	2419
3	7930	2419

Stop Event

1×	node limit

Counts

95 → 129

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (cos.f64 (.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (.f64 1/2 eps)) (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(.f64 1/2 (.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x)))) (.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 eps)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (cos.f64 0)) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 0)))
(.f64 (cos.f64 (.f64 1/2 eps)) 1)
(.f64 1 (cos.f64 (.f64 1/2 eps)))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 eps))) (sqrt.f64 (cos.f64 (*.f64 1/2 eps))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 eps))))
(pow.f64 (cos.f64 (*.f64 1/2 eps)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 eps))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 eps))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 eps))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 eps))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) 1)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))))
(/.f64 2 (/.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 (.f64 1/2 (-.f64 eps eps)) (.f64 1/2 (+.f64 eps eps))) 2)) (cos.f64 (/.f64 (-.f64 (.f64 1/2 (-.f64 eps eps)) (*.f64 1/2 (+.f64 eps eps))) 2)))))
(/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))) 2)
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 2 (sqrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))))) (/.f64 2 (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (.f64 2 (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) 3)) (.f64 2 (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (-.f64 eps eps)))) (-.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) -2)
(/.f64 (.f64 1 (neg.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))) (sqrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))) 2) (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))))) (cbrt.f64 2))
(/.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 1) -2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) 1/2) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) 3)) 1/2) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (-.f64 eps eps)))) (-.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))))))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))

Outputs
(cos.f64 x)
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 x)))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (fma.f64 -1/8 (.f64 (cos.f64 x) (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (.f64 -1/2 eps) (sin.f64 x) (fma.f64 (.f64 (*.f64 -1/8 eps) eps) (cos.f64 x) (cos.f64 x)))
(fma.f64 (fma.f64 -1/8 (.f64 eps eps) 1) (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (+.f64 (fma.f64 -1/8 (.f64 (cos.f64 x) (.f64 eps eps)) (cos.f64 x)) (.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (fma.f64 -1/8 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x))))
(fma.f64 (fma.f64 -1/8 (.f64 eps eps) 1) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 1/48 (pow.f64 eps 3)) (.f64 -1/2 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 eps))
(cos.f64 (*.f64 eps 1/2))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (cos.f64 (.f64 1/2 eps)))
(fma.f64 -1 (.f64 x (sin.f64 (.f64 eps 1/2))) (cos.f64 (*.f64 eps 1/2)))
(-.f64 (cos.f64 (.f64 eps 1/2)) (.f64 x (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (cos.f64 (*.f64 1/2 eps))))
(fma.f64 -1 (.f64 x (sin.f64 (.f64 eps 1/2))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 eps 1/2)) (.f64 x x)) (cos.f64 (.f64 eps 1/2))))
(-.f64 (fma.f64 -1/2 (.f64 x (.f64 x (cos.f64 (.f64 eps 1/2)))) (cos.f64 (.f64 eps 1/2))) (.f64 x (sin.f64 (.f64 eps 1/2))))
(-.f64 (.f64 (cos.f64 (.f64 eps 1/2)) (+.f64 1 (.f64 -1/2 (.f64 x x)))) (.f64 x (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (.f64 1/2 eps)) (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))))))
(fma.f64 -1 (.f64 x (sin.f64 (.f64 eps 1/2))) (+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 eps 1/2)) (.f64 x x)) (cos.f64 (.f64 eps 1/2))) (.f64 1/6 (.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 x 3)))))
(-.f64 (fma.f64 -1/2 (.f64 x (.f64 x (cos.f64 (.f64 eps 1/2)))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (cos.f64 (.f64 eps 1/2)))) (.f64 x (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 (cos.f64 (.f64 eps 1/2)) (+.f64 1 (.f64 -1/2 (.f64 x x)))) (.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(.f64 1/2 (.f64 eps (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 eps 1/2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 1/2 (.f64 (cos.f64 x) eps)))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (.f64 eps 1/2)))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/4)) (.f64 1/2 (.f64 (cos.f64 x) eps)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (.f64 (cos.f64 x) eps) (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12) (.f64 (cos.f64 x) (*.f64 eps 1/2))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/4)) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 3) -1/12) (*.f64 eps 1/2))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x)))) (.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (.f64 (cos.f64 x) eps) (fma.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12) (.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 4))))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (.f64 (cos.f64 x) eps) (fma.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 (cos.f64 x) (.f64 -1/12 (pow.f64 eps 3))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 3) -1/12) (.f64 eps 1/2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (.f64 eps (*.f64 eps -1/4)))))
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(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))) 2)) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 0 (sin.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) 2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) 2))
(.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) 2) (cbrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps))))) 1/2) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(.f64 1/2 (+.f64 0 (sin.f64 (.f64 1/2 (+.f64 eps eps)))))
(*.f64 1/2 (sin.f64 eps))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) 3)) 1/2) (+.f64 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (-.f64 eps eps)))) (-.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (.f64 1/2 (+.f64 eps eps)))))))
(/.f64 (.f64 1/2 (+.f64 0 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) 3))) (+.f64 0 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 0))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (.f64 (sin.f64 eps) (sin.f64 eps))) 1/2)
(*.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (sin.f64 eps)))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 1)
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) 2)
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) 3)
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 3) 1/3)
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 2))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 eps))))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) 3))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1%	(.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
✓	0.23%	(*.f64 -1/6 (pow.f64 eps 3))
✓	5.99%	(.f64 (sin.f64 x) (.f64 eps eps))
✓	8.9%	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))

Compiler

Compiled 72 to 37 computations (48.6% saved)

series9.0ms (0.1%)

Counts

4 → 64

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
1.0ms	x	@	inf	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
1.0ms	x	@	-inf	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
0.0ms	eps	@	0	(.f64 (sin.f64 x) (.f64 eps eps))

rewrite158.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`associate-*r/`
960×	`associate-*l/`
476×	`associate-+l+`
398×	`add-sqr-sqrt`
382×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	112
1	395	104
2	5147	104

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) (-.f64 1 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))))) (-.f64 1 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 4)) 1/4) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 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2) (pow.f64 eps 4)) 1/4) (.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (-.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) (-.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 4)) 1/4) (pow.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 4)) 1/4) (.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (-.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x)))))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 4)) 1/4) (pow.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2)) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3)) (+.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 4)) 1/4) (.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (-.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 4)) 1/4)) (-.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 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simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-/r*`
844×	`associate-+r+`
794×	`associate-r`
782×	`associate-+l+`
766×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	13248
1	1191	12852
2	5192	12852

Stop Event

1×	node limit

Counts

206 → 245

Calls

Call 1

Inputs
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) 3)) 1) (+.f64 (.f64 (.f64 eps (cos.f64 x)) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 eps eps) (.f64 1/36 (pow.f64 eps 6)))) (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (cos.f64 x))) (sqrt.f64 (+.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3)))) (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (cos.f64 x))) (sqrt.f64 (fma.f64 eps eps (-.f64 (.f64 1/36 (pow.f64 eps 6)) (*.f64 (pow.f64 eps 4) -1/6)))))
(pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(fma.f64 eps (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) eps (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))

Outputs
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(fma.f64 -1/2 (.f64 (.f64 x eps) eps) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (.f64 -1/2 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x eps) eps) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 x x)) (.f64 1/12 (.f64 (*.f64 eps eps) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x eps) eps) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (fma.f64 1/12 (.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(fma.f64 eps (.f64 eps (.f64 -1/2 (sin.f64 x))) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) x)
(.f64 (.f64 eps eps) x)
(.f64 (.f64 x eps) eps)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (.f64 eps eps) x))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (.f64 x eps) eps))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 eps eps) x)))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 (.f64 eps eps) x (.f64 (pow.f64 x 5) (.f64 (.f64 1/120 eps) eps))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/5040 (.f64 (.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 eps eps) x))))
(fma.f64 -1/5040 (.f64 eps (.f64 eps (pow.f64 x 7))) (fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 (.f64 eps eps) x (.f64 (pow.f64 x 5) (.f64 (.f64 1/120 eps) eps)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (.f64 -1/2 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 x x)))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/24 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (.f64 -1/2 (.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
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(.f64 (/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 eps 3)) (fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 1/36 (.f64 (pow.f64 eps 4) 1/6)))) (cos.f64 x))
(/.f64 (.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 1/36 (pow.f64 eps 6))) (cos.f64 x)) 1) (+.f64 eps (*.f64 1/6 (pow.f64 eps 3))))
(.f64 (/.f64 (cos.f64 x) (+.f64 eps (.f64 (pow.f64 eps 3) 1/6))) (-.f64 (.f64 eps eps) (.f64 (pow.f64 eps 6) 1/36)))
(.f64 (fma.f64 eps eps (.f64 (pow.f64 eps 6) -1/36)) (/.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) 1/6 eps)))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 eps 3) (.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3))) (cos.f64 x)) 1) (fma.f64 eps eps (-.f64 (.f64 1/36 (pow.f64 eps 6)) (*.f64 (pow.f64 eps 4) -1/6))))
(.f64 (/.f64 (cos.f64 x) (fma.f64 eps eps (-.f64 (.f64 (pow.f64 eps 6) 1/36) (.f64 -1/6 (pow.f64 eps 4))))) (+.f64 (pow.f64 eps 3) (.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3))))
(.f64 (/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 eps 3)) (fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 1/36 (.f64 (pow.f64 eps 4) 1/6)))) (cos.f64 x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (cos.f64 x)) (.f64 eps (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) 1) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))))
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))))
(/.f64 (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (-.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (-.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) 3)) 1) (+.f64 (.f64 (.f64 eps (cos.f64 x)) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (pow.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 3)) (fma.f64 (.f64 eps (cos.f64 x)) (.f64 eps (cos.f64 x)) (.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (pow.f64 (.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x))) 3)) (fma.f64 (.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x))) (.f64 (cos.f64 x) (-.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 eps (.f64 eps (.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 eps eps) (.f64 1/36 (pow.f64 eps 6)))) (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (cos.f64 x))) (sqrt.f64 (+.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps))) (/.f64 (sqrt.f64 (+.f64 eps (.f64 (pow.f64 eps 3) 1/6))) (sqrt.f64 (-.f64 (.f64 eps eps) (.f64 (pow.f64 eps 6) 1/36)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 eps eps (.f64 (pow.f64 eps 6) -1/36))) (sqrt.f64 (fma.f64 (pow.f64 eps 3) 1/6 eps))) (*.f64 (cos.f64 x) (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3)))) (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (cos.f64 x))) (sqrt.f64 (fma.f64 eps eps (-.f64 (.f64 1/36 (pow.f64 eps 6)) (*.f64 (pow.f64 eps 4) -1/6)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3)))) (/.f64 (sqrt.f64 (fma.f64 eps eps (-.f64 (.f64 (pow.f64 eps 6) 1/36) (.f64 -1/6 (pow.f64 eps 4))))) (.f64 (cos.f64 x) (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 1/36 (.f64 (pow.f64 eps 4) 1/6))))) (*.f64 (cos.f64 x) (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 1)
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 2)
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3)
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3) 1/3)
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)) 2))
(fabs.f64 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 1))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	0.18%	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	0.2%	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	2.42%	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series5.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite161.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*r/`
1066×	`associate-*l/`
324×	`associate-+l+`
312×	`add-sqr-sqrt`
308×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	286	72
2	4010	72

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

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

simplify190.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-r`
898×	`associate-l`
880×	`associate-/l*`
600×	`+-commutative`
550×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	726	20845
1	2021	19843

Stop Event

1×	node limit

Counts

321 → 468

Calls

Call 1

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

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

eval749.0ms (5.4%)

Compiler: Compiled 36731 to 17829 computations (51.5% saved)

prune464.0ms (3.3%)

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1217	32	1249
Fresh	9	16	25
Picked	0	1	1
Done	2	2	4
Total	1228	51	1279

Error

0.02%

Counts

1279 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	0.33%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	0.43%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
✓	0.29%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	19.62%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
	23.72%	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))
	0.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
	0.32%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
	71.75%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	57.84%	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	44.84%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	40.54%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 4) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4)) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	23.71%	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	36.09%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	36.12%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	58.26%	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
▶	36.12%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	60.12%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	58.38%	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	58.45%	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	57.1%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	59.22%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	95.69%	(-.f64 (sin.f64 x) (sin.f64 x))
	57.74%	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	74.63%	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	52.1%	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
	46.47%	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	0.29%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
▶	0.28%	(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	0.3%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓	0.31%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	22.23%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	0.41%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	57.47%	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	44.02%	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
▶	70.97%	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	58.51%	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
	44.12%	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
	43.8%	(*.f64 (+.f64 1 (-.f64 (cos.f64 x) 1)) eps)
	57.41%	(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
	43.76%	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
✓	43.66%	(*.f64 (cos.f64 x) eps)
	43.89%	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
▶	45.32%	(.f64 2 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))
	45.21%	(.f64 2 (.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2))))
	40.13%	(.f64 2 (.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 x)))
	20.61%	(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
	45.11%	(sin.f64 eps)
	75.35%	(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	44.29%	(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
	31.95%	(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
	67.74%	eps

Compiler

Compiled 1395 to 980 computations (29.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 eps)
✓	0.17%	(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	0.2%	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	2.23%	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
0.0ms	eps	@	-inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
0.0ms	eps	@	inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
0.0ms	x	@	0	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
0.0ms	x	@	-inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))

rewrite154.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`distribute-rgt-in`
720×	`distribute-lft-in`
616×	`associate-*r/`
534×	`associate-*l/`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	287	58
2	3712	58

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

simplify246.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1190×	`+-commutative`
1006×	`associate-+r-`
906×	`associate-r`
798×	`associate-l`
652×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	14581
1	1323	13603
2	7350	13543

Stop Event

1×	node limit

Counts

237 → 332

Calls

Call 1

Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1))
(+.f64 (sin.f64 x) (.f64 -1 (.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1) (sin.f64 x))
(+.f64 (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1) 0) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) 0) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (.f64 -1 (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (.f64 -1 (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))
(+.f64 (.f64 1 (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))
(+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1) (sin.f64 x))
(+.f64 (.f64 (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) -1) (sin.f64 x))
(+.f64 (.f64 (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 1) (sin.f64 x))
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 0 (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1) 0) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))
(-.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) 0) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) -1)
(.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps))))
(.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cbrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(.f64 -1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))
(.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3))) (+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
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(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (exp.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 -1/2 (.f64 eps (*.f64 x x)))
✓	10.78%	(.f64 eps (.f64 x x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1384×	`add-cube-cbrt`
1366×	`add-cbrt-cube`
1352×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1953	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
1144×	`distribute-rgt-out`
966×	`log-prod`
532×	`unswap-sqr`
458×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1152
1	173	1152
2	723	1152
3	2267	1152
4	4908	1152

Stop Event

1×	node limit

Counts

72 → 31

Calls

Call 1

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

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

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.19%

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

✓

0.32%

(*.f64 1/2 (+.f64 eps eps))

✓

0.42%

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

Compiler

Compiled 98 to 57 computations (41.8% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`add-sqr-sqrt`
1158×	`*-un-lft-identity`
1094×	`add-cube-cbrt`
1088×	`add-cbrt-cube`
326×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	366	3
2	5110	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

Inputs

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

(*.f64 1/2 (+.f64 eps eps))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))))

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))))

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))))

simplify253.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3072×	`sqr-pow`
1496×	`fma-def`
1224×	`cube-prod`
816×	`pow-sqr`
798×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	409
1	99	405
2	222	397
3	497	397
4	841	397
5	1599	397
6	2192	397
7	2766	397
8	2924	397
9	3196	397
10	3529	397
11	4010	397
12	4662	397
13	5487	397
14	6000	397
15	6328	397
16	6601	397
17	6810	397
18	6954	397
19	7881	397

Stop Event

1×	node limit

Counts

39 → 40

Calls

Call 1

Inputs
(*.f64 1/2 eps)
(+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/10080 (pow.f64 eps 7)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/.f64 2 eps)
(+.f64 (.f64 2 (/.f64 1 eps)) (.f64 1/3 eps))
(+.f64 (.f64 2 (/.f64 1 eps)) (+.f64 (.f64 7/180 (pow.f64 eps 3)) (*.f64 1/3 eps)))
(+.f64 (.f64 2 (/.f64 1 eps)) (+.f64 (.f64 31/7560 (pow.f64 eps 5)) (+.f64 (.f64 7/180 (pow.f64 eps 3)) (.f64 1/3 eps))))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
0
0
0

Outputs
(*.f64 1/2 eps)
(+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))
(fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/2 eps))
(fma.f64 1/2 eps (*.f64 -1/12 (pow.f64 eps 3)))
(.f64 eps (fma.f64 eps (.f64 eps -1/12) 1/2))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/2 eps)))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 1/2 eps (*.f64 -1/12 (pow.f64 eps 3))))
(fma.f64 -1/12 (pow.f64 eps 3) (fma.f64 1/2 eps (*.f64 1/240 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 eps (.f64 eps -1/12) 1/2) (.f64 1/240 (pow.f64 eps 5)))
(fma.f64 1/240 (pow.f64 eps 5) (.f64 eps (fma.f64 eps (.f64 eps -1/12) 1/2)))
(fma.f64 1/2 eps (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/240 (pow.f64 eps 5))))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/10080 (pow.f64 eps 7)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/10080 (pow.f64 eps 7) (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/2 eps))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/10080 (pow.f64 eps 7) (fma.f64 1/2 eps (*.f64 -1/12 (pow.f64 eps 3)))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 1/2 eps (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 -1/10080 (pow.f64 eps 7)))))
(fma.f64 eps (fma.f64 eps (.f64 eps -1/12) 1/2) (fma.f64 1/240 (pow.f64 eps 5) (.f64 -1/10080 (pow.f64 eps 7))))
(fma.f64 1/2 eps (fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 -1/10080 (pow.f64 eps 7)))))
(fma.f64 -1/12 (pow.f64 eps 3) (fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/10080 (pow.f64 eps 7) (*.f64 1/2 eps))))
(fma.f64 1/2 eps (fma.f64 -1/12 (pow.f64 eps 3) (fma.f64 1/240 (pow.f64 eps 5) (*.f64 -1/10080 (pow.f64 eps 7)))))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
(*.f64 1/2 (sin.f64 eps))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/.f64 2 eps)
(+.f64 (.f64 2 (/.f64 1 eps)) (.f64 1/3 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps 1/3))
(fma.f64 eps 1/3 (/.f64 2 eps))
(+.f64 (.f64 2 (/.f64 1 eps)) (+.f64 (.f64 7/180 (pow.f64 eps 3)) (*.f64 1/3 eps)))
(+.f64 (/.f64 2 eps) (fma.f64 7/180 (pow.f64 eps 3) (*.f64 eps 1/3)))
(+.f64 (/.f64 2 eps) (fma.f64 eps 1/3 (*.f64 (pow.f64 eps 3) 7/180)))
(fma.f64 eps 1/3 (fma.f64 (pow.f64 eps 3) 7/180 (/.f64 2 eps)))
(fma.f64 eps (fma.f64 eps (*.f64 eps 7/180) 1/3) (/.f64 2 eps))
(+.f64 (.f64 2 (/.f64 1 eps)) (+.f64 (.f64 31/7560 (pow.f64 eps 5)) (+.f64 (.f64 7/180 (pow.f64 eps 3)) (.f64 1/3 eps))))
(+.f64 (/.f64 2 eps) (fma.f64 31/7560 (pow.f64 eps 5) (fma.f64 7/180 (pow.f64 eps 3) (*.f64 eps 1/3))))
(+.f64 (/.f64 2 eps) (fma.f64 (pow.f64 eps 5) 31/7560 (fma.f64 eps 1/3 (*.f64 (pow.f64 eps 3) 7/180))))
(fma.f64 (pow.f64 eps 5) 31/7560 (fma.f64 eps 1/3 (fma.f64 (pow.f64 eps 3) 7/180 (/.f64 2 eps))))
(fma.f64 eps 1/3 (fma.f64 (pow.f64 eps 5) 31/7560 (fma.f64 (pow.f64 eps 3) 7/180 (/.f64 2 eps))))
(fma.f64 eps (fma.f64 eps (*.f64 eps 7/180) 1/3) (fma.f64 (pow.f64 eps 5) 31/7560 (/.f64 2 eps)))
(fma.f64 eps 1/3 (fma.f64 (pow.f64 eps 3) 7/180 (fma.f64 (pow.f64 eps 5) 31/7560 (/.f64 2 eps))))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
(/.f64 2 (sin.f64 eps))
0
0
0

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 x)
✓	1.68%	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
✓	3.98%	(sin.f64 (+.f64 eps x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`*-commutative`
830×	`associate-*r/`
668×	`distribute-lft-in`
648×	`associate-*l/`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	223	32
2	3166	32

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

Inputs
(sin.f64 (+.f64 eps x))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))

Outputs

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

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-+l-`
1132×	`+-commutative`
1112×	`associate-+r-`
756×	`associate--r+`
748×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	407	9516
1	1142	8738
2	5586	8738

Stop Event

1×	node limit

Counts

174 → 246

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.11%	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
	0.18%	(*.f64 (sin.f64 x) (cos.f64 eps))
	0.2%	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	4.43%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`associate-*r/`
1246×	`associate-*l/`
510×	`associate-+l+`
324×	`+-commutative`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	285	32
2	4044	32

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

simplify229.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1328×	`+-commutative`
1316×	`associate-+l-`
1166×	`associate-+r-`
752×	`fma-def`
632×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	14392
1	1409	13686
2	6166	13686

Stop Event

1×	node limit

Counts

242 → 319

Calls

Call 1

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

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

eval576.0ms (4.1%)

Compiler: Compiled 30456 to 10416 computations (65.8% saved)

prune487.0ms (3.5%)

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	1174	12	1186
Fresh	5	38	43
Picked	0	1	1
Done	3	4	7
Total	1182	55	1237

Error

0.02%

Counts

1237 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	36.14%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	0.33%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	0.43%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
✓	0.29%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	19.62%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
	23.72%	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))
	0.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
	0.32%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
▶	71.75%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	57.84%	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	44.84%	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	40.54%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 4) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4)) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	23.71%	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	36.09%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
▶	36.12%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	58.26%	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
✓	36.12%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	55.4%	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	60.12%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	58.38%	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	58.45%	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	57.1%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	59.22%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	57.74%	(-.f64 (sin.f64 eps) (sin.f64 x))
	94.35%	(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
	75.27%	(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
	52.1%	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
	46.47%	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	0.29%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.3%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓	0.31%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	22.23%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	0.41%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	57.47%	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	44.02%	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	70.8%	(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
✓	70.97%	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	58.51%	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
	44.12%	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
	43.8%	(*.f64 (+.f64 1 (-.f64 (cos.f64 x) 1)) eps)
	43.76%	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
✓	43.66%	(*.f64 (cos.f64 x) eps)
	43.89%	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
	67.42%	(*.f64 2 (/.f64 1 (fma.f64 eps 1/3 (/.f64 2 eps))))
	45.23%	(*.f64 2 (/.f64 1 (/.f64 2 (sin.f64 eps))))
	67.77%	(*.f64 2 (/.f64 1 (/.f64 2 eps)))
	67.42%	(.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3))))
▶	45.21%	(.f64 2 (.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2))))
	40.13%	(.f64 2 (.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 x)))
	20.61%	(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
▶	95.69%	(*.f64 2 0)
	45.11%	(sin.f64 eps)
	75.61%	(fabs.f64 (sin.f64 (+.f64 eps x)))
	31.95%	(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
	67.74%	eps

Compiler

Compiled 1428 to 1013 computations (29.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	0.2%	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.21%	(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
	2.71%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`associate-*r/`
1080×	`associate-*l/`
896×	`distribute-lft-in`
366×	`associate-+l+`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	300	73
2	3967	63

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

928×	`+-commutative`
866×	`associate-+r+`
776×	`associate-/l*`
734×	`associate-r`
734×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	14802
1	1515	14210
2	6605	14210

Stop Event

1×	node limit

Counts

246 → 324

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.27%	(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2)))
0.0ms	eps	@	-inf	(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2)))
0.0ms	eps	@	inf	(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2)))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`associate-*r/`
1080×	`associate-*l/`
868×	`*-commutative`
360×	`distribute-lft-in`
334×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	235	21
2	2969	5

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(*.f64 (sin.f64 (/.f64 eps 2)) (cos.f64 (/.f64 eps -2)))

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-+r+`
736×	`unswap-sqr`
668×	`associate-/l*`
652×	`associate-r`
524×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	935
1	288	911
2	951	895
3	4045	895

Stop Event

1×	node limit

Counts

67 → 93

Calls

Call 1

Inputs
(*.f64 1/2 eps)
(+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/10080 (pow.f64 eps 7)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (sin.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 1/2)))
(+.f64 (sin.f64 eps) (.f64 (.f64 (cos.f64 eps) 1/2) (sin.f64 eps)))
(+.f64 (-.f64 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(-.f64 1/2 (*.f64 (cos.f64 eps) 1/2))
(-.f64 (sin.f64 eps) (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (+.f64 1 (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (-.f64 1 (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(/.f64 2 (/.f64 2 (sin.f64 eps)))
(/.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))
(/.f64 1 (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) 2)
(/.f64 (sin.f64 eps) (sqrt.f64 2))
(/.f64 (sin.f64 eps) (cbrt.f64 2))
(/.f64 (sin.f64 eps) 4)
(/.f64 (sin.f64 eps) (sin.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 4 (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 eps)) -2)
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 eps))) 2)
(/.f64 (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) -2)
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) -2)
(/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (cos.f64 eps) (cos.f64 eps))) 2)
(/.f64 (*.f64 1 (neg.f64 (sin.f64 eps))) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) (sin.f64 eps)) 2)
(/.f64 (.f64 (.f64 2 (cos.f64 eps)) (sin.f64 eps)) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) 1) 2)
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -2)
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)) -2)
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) 1) -2)
(/.f64 (/.f64 (sin.f64 eps) 1) (sqrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) 1) (cbrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2)))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))
(pow.f64 (sin.f64 eps) 2)
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (sin.f64 eps) 1/2)
(pow.f64 (sin.f64 eps) 3)
(pow.f64 (sin.f64 eps) 1/3)
(sqrt.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (sin.f64 eps))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (sin.f64 eps)))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))

Outputs
(*.f64 1/2 eps)
(+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))
(fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/2 eps))
(fma.f64 1/2 eps (*.f64 -1/12 (pow.f64 eps 3)))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/2 eps)))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 1/2 eps (*.f64 -1/12 (pow.f64 eps 3))))
(fma.f64 -1/12 (pow.f64 eps 3) (fma.f64 1/2 eps (*.f64 1/240 (pow.f64 eps 5))))
(+.f64 (.f64 1/240 (pow.f64 eps 5)) (+.f64 (.f64 -1/10080 (pow.f64 eps 7)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/2 eps))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/10080 (pow.f64 eps 7) (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 1/2 eps))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/10080 (pow.f64 eps 7) (fma.f64 1/2 eps (*.f64 -1/12 (pow.f64 eps 3)))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 -1/12 (pow.f64 eps 3) (fma.f64 1/2 eps (*.f64 -1/10080 (pow.f64 eps 7)))))
(fma.f64 1/240 (pow.f64 eps 5) (fma.f64 1/2 eps (fma.f64 -1/12 (pow.f64 eps 3) (*.f64 -1/10080 (pow.f64 eps 7)))))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 eps -1/2)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (sin.f64 eps) (sin.f64 eps))
(*.f64 2 (sin.f64 eps))
(*.f64 (sin.f64 eps) 2)
(+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 1/2)))
(.f64 (+.f64 (.f64 1/2 (cos.f64 eps)) 1) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 1/2 (cos.f64 eps) 1))
(+.f64 (sin.f64 eps) (.f64 (.f64 (cos.f64 eps) 1/2) (sin.f64 eps)))
(.f64 (+.f64 (.f64 1/2 (cos.f64 eps)) 1) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 1/2 (cos.f64 eps) 1))
(+.f64 (-.f64 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
0
(-.f64 1/2 (*.f64 (cos.f64 eps) 1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(fma.f64 -1/2 (cos.f64 eps) 1/2)
(-.f64 (sin.f64 eps) (sin.f64 eps))
0
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(sin.f64 eps)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (+.f64 1 (sin.f64 eps)))
0
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (-.f64 1 (sin.f64 eps)))
(*.f64 2 (sin.f64 eps))
(*.f64 (sin.f64 eps) 2)
(-.f64 (+.f64 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(*.f64 2 (sin.f64 eps))
(*.f64 (sin.f64 eps) 2)
(/.f64 2 (/.f64 2 (sin.f64 eps)))
(sin.f64 eps)
(/.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))
(*.f64 (/.f64 (cos.f64 eps) 2) (sin.f64 eps))
(.f64 1/2 (.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/2 (cos.f64 eps)))
(/.f64 1 (/.f64 2 (sin.f64 eps)))
(*.f64 1/2 (sin.f64 eps))
(/.f64 (sin.f64 eps) 2)
(*.f64 1/2 (sin.f64 eps))
(/.f64 (sin.f64 eps) (sqrt.f64 2))
(/.f64 (sin.f64 eps) (cbrt.f64 2))
(/.f64 (sin.f64 eps) 4)
(*.f64 1/4 (sin.f64 eps))
(/.f64 (sin.f64 eps) (sin.f64 eps))
1
(/.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) 2)
(*.f64 1/2 (pow.f64 (sin.f64 eps) 2))
(/.f64 (sin.f64 eps) (/.f64 4 (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) 4) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) 4)
(/.f64 (neg.f64 (sin.f64 eps)) -2)
(*.f64 1/2 (sin.f64 eps))
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) 2)
0
(/.f64 (*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 eps))) 2)
0
(/.f64 (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) -2)
(*.f64 (/.f64 (cos.f64 eps) 2) (sin.f64 eps))
(.f64 1/2 (.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/2 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) -2)
(*.f64 (/.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) 2)
(*.f64 1/2 (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (cos.f64 eps) (cos.f64 eps))) 2)
0
(/.f64 (*.f64 1 (neg.f64 (sin.f64 eps))) -2)
(*.f64 1/2 (sin.f64 eps))
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) (sin.f64 eps)) 2)
0
(/.f64 (.f64 (.f64 2 (cos.f64 eps)) (sin.f64 eps)) 2)
(/.f64 (*.f64 (cos.f64 eps) 2) (/.f64 2 (sin.f64 eps)))
(.f64 (/.f64 (.f64 (cos.f64 eps) 2) 2) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)) 2)
0
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 eps)) 1) 2)
0
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -2)
(*.f64 (/.f64 (cos.f64 eps) 2) (sin.f64 eps))
(.f64 1/2 (.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/2 (cos.f64 eps)))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)) -2)
(*.f64 (/.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) 2)
(*.f64 1/2 (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) 1) -2)
(*.f64 1/2 (sin.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) 1) (sqrt.f64 2))
(/.f64 (sin.f64 eps) (sqrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) 1) (cbrt.f64 2))
(/.f64 (sin.f64 eps) (cbrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (sin.f64 eps) (sqrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (sin.f64 eps) (sqrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2)))
(/.f64 (sin.f64 eps) (cbrt.f64 2))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))
(/.f64 (sin.f64 eps) (cbrt.f64 2))
(pow.f64 (sin.f64 eps) 2)
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1/2)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 3)
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 eps))
(sin.f64 eps)
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(sin.f64 eps)
(cbrt.f64 (sin.f64 eps))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (sin.f64 eps)))
(cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 3)))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 x)
✓	0.04%	(sqrt.f64 (*.f64 (cos.f64 x) eps))
	0.12%	(*.f64 (cos.f64 x) eps)
✓	0.36%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)

Compiler

Compiled 23 to 8 computations (65.2% saved)

series10.0ms (0.1%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms	eps	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms	eps	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2036	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (*.f64 (cos.f64 x) eps))

Outputs

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1800×	`distribute-lft-in`
1774×	`distribute-rgt-in`
828×	`fma-def`
818×	`unswap-sqr`
624×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1597
1	356	1499
2	1300	1423
3	4045	1409

Stop Event

1×	node limit

Counts

73 → 94

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (-.f64 (+.f64 (.f64 1/16 eps) (.f64 1/24 eps)) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (-.f64 (+.f64 (.f64 1/16 eps) (.f64 1/24 eps)) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(sqrt.f64 eps)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (-.f64 (.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (-.f64 (.f64 -1/720 eps) (.f64 -1/4 (-.f64 (.f64 1/24 eps) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)))) (pow.f64 x 6)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (-.f64 (.f64 1/24 eps) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(.f64 1 (.f64 (cos.f64 x) eps))
(.f64 (pow.f64 (.f64 (cos.f64 x) eps) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 x) eps) 1/4) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) eps))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (cos.f64 x)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) (pow.f64 (.f64 (cos.f64 x) eps) 1/4)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 eps))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) (cbrt.f64 (.f64 (cos.f64 x) eps))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) 1)
(.f64 1 (sqrt.f64 (.f64 (cos.f64 x) eps)))
(.f64 (pow.f64 (.f64 (cos.f64 x) eps) 1/4) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) eps))) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 x) eps)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1/2))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) eps)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) eps))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))

Outputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (.f64 eps (.f64 x x)) eps)
(fma.f64 eps (.f64 -1/2 (.f64 x x)) eps)
(fma.f64 -1/2 (.f64 x (.f64 eps x)) eps)
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (-.f64 (+.f64 (.f64 1/16 eps) (.f64 1/24 eps)) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 eps (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 (-.f64 (.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 eps (fma.f64 (-.f64 (.f64 eps 5/48) (.f64 eps 1/16)) (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 eps -1/2))))
(fma.f64 eps (.f64 -1/2 (.f64 x x)) (fma.f64 (*.f64 eps 1/24) (pow.f64 x 4) eps))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (-.f64 (+.f64 (.f64 1/16 eps) (.f64 1/24 eps)) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(fma.f64 -1/720 (.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 (-.f64 (.f64 eps 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 (-.f64 (.f64 eps 5/48) (.f64 eps 1/16)) (pow.f64 x 4) (.f64 (.f64 x x) (.f64 eps -1/2))) (fma.f64 (.f64 eps -1/720) (pow.f64 x 6) eps))
(fma.f64 eps (.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (.f64 -1/2 (.f64 x x)) (fma.f64 (.f64 eps 1/24) (pow.f64 x 4) eps)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(sqrt.f64 eps)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(fma.f64 -1/4 (.f64 (.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 -1/4 (.f64 x (.f64 x (sqrt.f64 eps))) (sqrt.f64 eps))
(.f64 (+.f64 (.f64 (*.f64 x x) -1/4) 1) (sqrt.f64 eps))
(.f64 (sqrt.f64 eps) (+.f64 1 (.f64 (*.f64 x x) -1/4)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (-.f64 (.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps)))
(fma.f64 -1/4 (.f64 (.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (pow.f64 x 4) (-.f64 (.f64 eps 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)))) (sqrt.f64 eps)))
(fma.f64 -1/4 (.f64 x (.f64 x (sqrt.f64 eps))) (fma.f64 1/2 (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 (/.f64 1 eps)) (-.f64 (.f64 eps 1/24) (.f64 eps 1/16)))) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 1/2 (.f64 (pow.f64 x 4) (.f64 eps -1/48))) (.f64 (+.f64 (.f64 (.f64 x x) -1/4) 1) (sqrt.f64 eps)))
(fma.f64 (.f64 x x) (.f64 -1/4 (sqrt.f64 eps)) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 eps -1/48)) (*.f64 (pow.f64 x 4) 1/2) (sqrt.f64 eps)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (-.f64 (.f64 -1/720 eps) (.f64 -1/4 (-.f64 (.f64 1/24 eps) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)))) (pow.f64 x 6)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (-.f64 (.f64 1/24 eps) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps))))
(fma.f64 1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (-.f64 (.f64 eps -1/720) (.f64 -1/4 (-.f64 (.f64 eps 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2))))) (pow.f64 x 6)) (fma.f64 -1/4 (.f64 (.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (pow.f64 x 4) (-.f64 (.f64 eps 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 eps)) 2)))) (sqrt.f64 eps))))
(fma.f64 1/2 (.f64 (pow.f64 x 6) (.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 eps -1/720 (.f64 (-.f64 (.f64 eps 1/24) (.f64 eps 1/16)) 1/4)))) (fma.f64 -1/4 (.f64 x (.f64 x (sqrt.f64 eps))) (fma.f64 1/2 (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 (/.f64 1 eps)) (-.f64 (.f64 eps 1/24) (*.f64 eps 1/16)))) (sqrt.f64 eps))))
(fma.f64 (.f64 (pow.f64 x 6) (fma.f64 (.f64 eps -1/48) 1/4 (.f64 eps -1/720))) (.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 1/2 (.f64 (pow.f64 x 4) (.f64 eps -1/48))) (.f64 (+.f64 (.f64 (.f64 x x) -1/4) 1) (sqrt.f64 eps))))
(+.f64 (.f64 (sqrt.f64 eps) (+.f64 1 (.f64 (.f64 x x) -1/4))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (+.f64 (.f64 (pow.f64 x 6) (fma.f64 -1/4 (.f64 eps 1/48) (.f64 eps -1/720))) (.f64 (pow.f64 x 4) (.f64 eps -1/48)))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(.f64 1 (.f64 (cos.f64 x) eps))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 (.f64 (cos.f64 x) eps) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 x) eps) 1/4) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 eps (cos.f64 x))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(*.f64 eps (cos.f64 x))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) (pow.f64 (.f64 (cos.f64 x) eps) 1/4)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 eps))
(.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) (cbrt.f64 (.f64 (cos.f64 x) eps))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(*.f64 eps (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 eps (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) eps)) 1))
(*.f64 eps (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) 1)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(.f64 1 (sqrt.f64 (.f64 (cos.f64 x) eps)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(.f64 (pow.f64 (.f64 (cos.f64 x) eps) 1/4) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) eps))) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 eps (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 x) eps)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 eps (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/2)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) 2)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 3)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) eps)) 1/2))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) eps))) 1))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 eps)
✓	0.12%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
	0.18%	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	4.43%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`distribute-rgt-in`
732×	`distribute-lft-in`
706×	`associate-*r/`
586×	`associate-*l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	271	32
2	3565	32

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1694×	`associate-*l/`
1218×	`+-commutative`
1054×	`associate-+l-`
906×	`associate-+r-`
804×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	422	10770
1	1182	10380
2	5330	10380

Stop Event

1×	node limit

Counts

202 → 272

Calls

Call 1

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

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

eval522.0ms (3.7%)

Compiler: Compiled 25974 to 10996 computations (57.7% saved)

prune390.0ms (2.8%)

Pruning

69 alts after pruning (60 fresh and 9 done)

	Pruned	Kept	Total
New	1040	30	1070
Fresh	15	30	45
Picked	0	1	1
Done	1	8	9
Total	1056	69	1125

Error

0.02%

Counts

1125 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	0.29%	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	36.14%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	0.43%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
✓	0.29%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	19.62%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
✓	71.75%	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	40.16%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 4) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 4)) (-.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2)))
	23.71%	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	36.09%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
✓	36.12%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
✓	36.12%	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	55.4%	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	60.12%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	58.45%	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	59.22%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	57.74%	(-.f64 (sin.f64 eps) (sin.f64 x))
	94.35%	(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
	0.46%	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.32%	(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.4%	(+.f64 (.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 2) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	22.23%	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
	46.47%	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	2.24%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (cos.f64 x))) 3))
✓	0.29%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	44.02%	(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (sin.f64 eps))
	23.72%	(+.f64 (.f64 (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.3%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓	0.31%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	0.41%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	57.47%	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	70.8%	(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
✓	70.97%	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	58.51%	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
	44.12%	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
	43.8%	(*.f64 (+.f64 1 (-.f64 (cos.f64 x) 1)) eps)
	43.76%	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
✓	43.66%	(*.f64 (cos.f64 x) eps)
	43.89%	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
	90.47%	(*.f64 2 (pow.f64 (sin.f64 eps) 3))
	91.81%	(*.f64 2 (pow.f64 (sin.f64 eps) 2))
	95.07%	(*.f64 2 (pow.f64 (sin.f64 eps) 1/3))
	92.12%	(*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) 4))
	91.53%	(*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) 2))
	87.56%	(.f64 2 (/.f64 (.f64 (cos.f64 eps) 2) (/.f64 2 (sin.f64 eps))))
	92.12%	(*.f64 2 (/.f64 (sin.f64 eps) (/.f64 4 (sin.f64 eps))))
	84.62%	(*.f64 2 (/.f64 (sin.f64 eps) (sqrt.f64 2)))
	85.02%	(*.f64 2 (/.f64 (sin.f64 eps) (cbrt.f64 2)))
	85.36%	(*.f64 2 (/.f64 (sin.f64 eps) 4))
	45.23%	(*.f64 2 (/.f64 1 (/.f64 2 (sin.f64 eps))))
	67.77%	(*.f64 2 (/.f64 1 (/.f64 2 eps)))
	67.42%	(.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3))))
	92.15%	(.f64 2 (-.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
	64.62%	(.f64 2 (.f64 (/.f64 (cos.f64 eps) 2) (sin.f64 eps)))
	85.77%	(.f64 2 (.f64 (+.f64 (*.f64 1/2 (cos.f64 eps)) 1) (sin.f64 eps)))
	40.13%	(.f64 2 (.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 x)))
	20.61%	(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
	87.56%	(.f64 2 (.f64 (sin.f64 eps) (cos.f64 eps)))
	86.73%	(.f64 2 (.f64 (sin.f64 eps) 2))
	94.92%	(*.f64 2 (sqrt.f64 (sin.f64 eps)))
	85.66%	(*.f64 2 (sin.f64 eps))
	89.11%	(*.f64 2 (fabs.f64 (sin.f64 eps)))
	92.79%	(.f64 2 (cbrt.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (sin.f64 eps))))
	90.99%	(*.f64 2 (cbrt.f64 (sin.f64 eps)))
	93.25%	(*.f64 2 1)
✓	95.69%	(*.f64 2 0)
	45.11%	(sin.f64 eps)
	75.61%	(fabs.f64 (sin.f64 (+.f64 eps x)))
	31.95%	(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
	67.74%	eps

Compiler

Compiled 867 to 637 computations (26.5% saved)

regimes227.0ms (1.6%)

Counts

105 → 1

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	eps
77.0ms	x
28.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.28%	1	`x`
0.28%	1	`eps`
0.28%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1299 to 575 computations (55.7% saved)

regimes137.0ms (1%)

Counts

87 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	eps
42.0ms	x
26.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.29%	1	`x`
0.29%	1	`eps`
0.29%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 862 to 408 computations (52.7% saved)

regimes250.0ms (1.8%)

Counts

79 → 1

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	eps
83.0ms	x
60.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.29%	1	`x`
0.29%	1	`eps`
0.29%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 756 to 387 computations (48.8% saved)

regimes112.0ms (0.8%)

Counts

78 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
34.0ms	eps
22.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.29%	1	`x`
0.29%	1	`eps`
0.29%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 744 to 383 computations (48.5% saved)

regimes161.0ms (1.2%)

Counts

73 → 1

Calls

Call 1

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

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

Calls

3 calls:

84.0ms	x
39.0ms	eps
19.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.62%	1	`x`
19.62%	1	`eps`
19.62%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 666 to 349 computations (47.6% saved)

regimes196.0ms (1.4%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

3 calls:

79.0ms	eps
77.0ms	x
22.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
20.61%	1	`x`
20.61%	1	`eps`
20.61%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 655 to 344 computations (47.5% saved)

regimes172.0ms (1.2%)

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	eps
62.0ms	x
30.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
20.54%	3	`x`
20.32%	3	`eps`
20.23%	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 310 to 193 computations (37.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.5106383756041245e-284
0.0ms	-0.024633302263211088	-4.317331407054137e-12

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes143.0ms (1%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	x
51.0ms	eps
28.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
22.43%	3	`x`
20.36%	3	`eps`
21.18%	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 297 to 185 computations (37.7% saved)

bsearch96.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	1.6514562558822325e-38	1.813701189975179e-33
47.0ms	-17717150.059481163	-4.317331407054137e-12

Results

33.0ms	75×	body	1024	valid
29.0ms	170×	body	256	valid
15.0ms	19×	body	2048	valid
12.0ms	40×	body	512	valid

Compiler

Compiled 299 to 219 computations (26.8% saved)

regimes63.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

Inputs
eps
(*.f64 2 0)
(*.f64 2 1)
(*.f64 2 (/.f64 1 (/.f64 2 eps)))
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3))))
(sin.f64 eps)
(*.f64 2 (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(.f64 2 (.f64 (sin.f64 eps) 2))
(*.f64 2 (/.f64 (sin.f64 eps) 4))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(.f64 2 (-.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
(*.f64 2 (/.f64 1 (/.f64 2 (sin.f64 eps))))
(*.f64 (+.f64 1 (-.f64 (cos.f64 x) 1)) eps)
(*.f64 2 (/.f64 1 (fma.f64 eps 1/3 (/.f64 2 eps))))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(*.f64 2 (cbrt.f64 (sin.f64 eps)))
(*.f64 2 (fabs.f64 (sin.f64 eps)))
(*.f64 2 (sqrt.f64 (sin.f64 eps)))

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

Calls

2 calls:

30.0ms	eps
28.0ms	x

Results

Error	Segments	Branch
22.53%	3	`x`
20.93%	3	`eps`

Compiler

Compiled 133 to 91 computations (31.6% saved)

bsearch85.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.6514562558822325e-38	1.813701189975179e-33
43.0ms	-208974607966259780.0	-17717150.059481163

Results

32.0ms	78×	body	1024	valid
29.0ms	176×	body	256	valid
12.0ms	38×	body	512	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes14.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
eps
(*.f64 2 0)
(*.f64 2 1)
(*.f64 2 (/.f64 1 (/.f64 2 eps)))
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3))))
(sin.f64 eps)
(*.f64 2 (sin.f64 eps))

Outputs
(sin.f64 eps)

Calls

2 calls:

7.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
45.11%	1	`x`
45.11%	1	`eps`

Compiler

Compiled 57 to 40 computations (29.8% saved)

regimes45.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

Inputs
eps
(*.f64 2 0)
(*.f64 2 1)
(*.f64 2 (/.f64 1 (/.f64 2 eps)))
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3))))

Outputs
(.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3))))
(*.f64 2 1)

Calls

2 calls:

39.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
67.42%	1	`x`
65.8%	2	`eps`

Compiler

Compiled 51 to 37 computations (27.5% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	7.498657056826802	381.8883415215097

Results

12.0ms	76×	body	256	valid
11.0ms	26×	body	1024	valid
3.0ms	7×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 154 to 136 computations (11.7% saved)

regimes16.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

Outputs
eps
(*.f64 2 1)

Calls

2 calls:

10.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
67.74%	1	`x`
65.99%	2	`eps`

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.916926033840966e-6	7.498657056826802

Results

16.0ms	92×	body	256	valid
14.0ms	34×	body	1024	valid
5.0ms	16×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 104 to 91 computations (12.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -18.3b remaining (-42.2%)

Threshold costs -18.3b (-42.2%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(*.f64 2 0)

Outputs
eps

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
67.74%	1	`x`
67.74%	1	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
24×	`+-commutative`
10×	`sub-neg`
4×	`neg-mul-1`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	513
1	114	513
2	121	513
3	124	513
4	125	513

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5764607523034235/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0) (.f64 2 (.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -7194230188746725/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5261405894391251/2923003274661805836407369665432566039311865085952) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -18000000) (sin.f64 eps) (if (<=.f64 eps 5261405894391251/2923003274661805836407369665432566039311865085952) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
(if (<=.f64 eps 63) (.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3)))) (*.f64 2 1))
(if (<=.f64 eps 2) eps (*.f64 2 1))
eps

Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5764607523034235/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0) (.f64 2 (.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5764607523034235/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0) (.f64 2 (.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -7194230188746725/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5261405894391251/2923003274661805836407369665432566039311865085952) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -7194230188746725/36893488147419103232) (not (<=.f64 eps 5261405894391251/2923003274661805836407369665432566039311865085952))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(if (<=.f64 eps -18000000) (sin.f64 eps) (if (<=.f64 eps 5261405894391251/2923003274661805836407369665432566039311865085952) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
(if (<=.f64 eps 63) (.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3)))) (*.f64 2 1))
(if (<=.f64 eps 63) (.f64 2 (/.f64 1 (+.f64 (/.f64 2 eps) (.f64 eps 1/3)))) 2)
(if (<=.f64 eps 2) eps (*.f64 2 1))
(if (<=.f64 eps 2) eps 2)
eps

Compiler

Compiled 205 to 137 computations (33.2% saved)

soundness0.0ms (0%)

end86.0ms (0.6%)

Compiler: Compiled 181 to 85 computations (53% 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