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)

sample4.6s (30.4%)

Results

2.4s	3622×	body	1024	valid
1.4s	1228×	body	2048	valid
424.0ms	1389×	body	512	valid
379.0ms	2015×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess51.0ms (0.3%)

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)

simplify20.0ms (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

37.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.4b	(-.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
✓	0.0b	(sin.f64 x)
✓	2.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.1b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite91.0ms (0.6%)

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)))))))

simplify157.0ms (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)

eval79.0ms (0.5%)

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

prune70.0ms (0.5%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	246	32	278
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	33	279

Error

0.2b

Counts

279 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	31.1b	(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
	37.9b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	37.5b	(/.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)
	37.5b	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	22.8b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	22.8b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	38.1b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	25.2b	(-.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))
	44.4b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
	38.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	39.3b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.4b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	38.7b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	39.0b	(-.f64 (sin.f64 eps) (sin.f64 x))
	37.5b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	48.7b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
▶	37.3b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	40.5b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
	22.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	29.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	23.6b	(+.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))))
▶	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	31.1b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
	31.3b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
▶	37.8b	(+.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 x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
	22.8b	(+.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)))))
▶	30.9b	(*.f64 (cos.f64 x) eps)
	14.3b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	37.4b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))

Compiler

Compiled 1003 to 650 computations (35.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	2.0b	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series7.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite119.0ms (0.8%)

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

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

simplify154.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`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 → 472

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite87.0ms (0.6%)

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	11
1	135	11
2	1583	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.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 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)))))))

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1030×	`fma-def`
932×	`log-prod`
896×	`distribute-lft-out`
740×	`*-commutative`
636×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	301
1	127	297
2	414	289
3	1990	277
4	5401	275

Stop Event

1×	node limit

Counts

19 → 29

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))
(-.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)))

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 x (.f64 x -1/2)) eps)
(.f64 eps (fma.f64 -1/2 (.f64 x x) 1))
(+.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 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 (pow.f64 x 4) (.f64 eps 1/24)))
(fma.f64 eps (.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (.f64 x (*.f64 x -1/2)) eps))
(fma.f64 eps (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) eps)
(+.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 (pow.f64 x 4) (.f64 eps 1/24))) (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 1/24 (pow.f64 x 4)) (fma.f64 eps (.f64 x (.f64 x -1/2)) eps)))
(fma.f64 eps (fma.f64 -1/2 (.f64 x x) (.f64 -1/720 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) eps))
(.f64 eps (+.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 -1/720 (pow.f64 x 6))) (fma.f64 1/24 (pow.f64 x 4) 1)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(-.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))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
✓	2.5b	(+.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 x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
✓	2.7b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
✓	3.1b	(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x)))))

Compiler

Compiled 148 to 30 computations (79.7% saved)

series4.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`add-sqr-sqrt`
588×	`*-un-lft-identity`
586×	`pow1`
558×	`add-exp-log`
558×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	182
1	548	170

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-+l-`
1140×	`associate--r+`
1050×	`associate-+r-`
712×	`associate--l+`
514×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	8921
1	1059	6551
2	4595	6531

Stop Event

1×	node limit

Counts

187 → 231

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
✓	0.5b	(log1p.f64 (sin.f64 (+.f64 x eps)))
	3.1b	(sin.f64 (+.f64 x eps))
✓	5.3b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series128.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	eps	@	inf	(log1p.f64 (sin.f64 (+.f64 x eps)))
30.0ms	x	@	inf	(log1p.f64 (sin.f64 (+.f64 x eps)))
27.0ms	eps	@	-inf	(log1p.f64 (sin.f64 (+.f64 x eps)))
18.0ms	x	@	-inf	(log1p.f64 (sin.f64 (+.f64 x eps)))
6.0ms	x	@	0	(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`*-commutative`
892×	`associate-*r/`
752×	`distribute-lft-in`
732×	`distribute-rgt-in`
710×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	240	47
2	3115	47

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (sin.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))

Outputs

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

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

996×	`fma-def`
768×	`associate-r`
610×	`associate-+r+`
608×	`associate-+l+`
608×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	12293
1	1632	11913

Stop Event

1×	node limit

Counts

255 → 331

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

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 (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 (.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 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)))))
(+.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 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (+.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 (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))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 3) -1) (fma.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 2 (sin.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps 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))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) 1) 1) (+.f64 (sin.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1) (sin.f64 (+.f64 eps x))) (+.f64 2 (sin.f64 (+.f64 eps x))))
(/.f64 (+.f64 2 (sin.f64 (+.f64 eps x))) (/.f64 (+.f64 2 (sin.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps 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))))))
(/.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) (pow.f64 (cos.f64 eps) 2)) (.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 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 3) -1) (fma.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 2 (sin.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))))
(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))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(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 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 eps)
✓	0.1b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 36 to 16 computations (55.6% saved)

series4.0ms (0%)

Counts

4 → 64

Calls

18 calls:

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

rewrite104.0ms (0.7%)

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) 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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)))))))

simplify143.0ms (0.9%)

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)))
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(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.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))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) 1) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.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)))))
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(fma.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))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
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(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(.f64 -1/2 (.f64 eps (*.f64 eps (sin.f64 x))))
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(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
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(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
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(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
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(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
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(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(-.f64 (cos.f64 eps) 1)
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(.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)))
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(/.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 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 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 (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 (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 (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 (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 (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)

eval683.0ms (4.5%)

Compiler: Compiled 42375 to 17186 computations (59.4% saved)

prune512.0ms (3.4%)

Pruning

64 alts after pruning (60 fresh and 4 done)

	Pruned	Kept	Total
New	1416	49	1465
Fresh	16	11	27
Picked	0	1	1
Done	2	3	5
Total	1434	64	1498

Error

0.0b

Counts

1498 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (log.f64 (exp.f64 (cos.f64 eps))) -1)))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	13.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
	31.1b	(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
	44.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	37.9b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	31.6b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	39.9b	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	16.2b	(/.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))))
	22.8b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	44.5b	(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
	30.1b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
	38.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	22.8b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
	39.3b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.4b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	38.7b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	39.0b	(-.f64 (sin.f64 eps) (sin.f64 x))
	48.7b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	44.4b	(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
	44.0b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	44.5b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
▶	30.0b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1)))
	29.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	31.3b	(+.f64 (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	29.9b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (.f64 -1/720 (pow.f64 eps 6))))))
	0.5b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
✓	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	29.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
	26.0b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
	39.3b	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
	37.8b	(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
	53.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
▶	37.8b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
	61.0b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
	39.4b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
▶	49.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
	39.2b	(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
▶	46.7b	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	16.3b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
	37.7b	(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
	37.6b	(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
✓	30.9b	(*.f64 (cos.f64 x) eps)
	14.3b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	37.8b	(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
	53.5b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
	28.5b	(sin.f64 eps)
	37.4b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	29.9b	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	49.2b	(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
	4.1b	(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	44.8b	eps

Compiler

Compiled 2254 to 1544 computations (31.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
✓	0.1b	(*.f64 (cos.f64 eps) (sin.f64 x))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
✓	2.0b	(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x)))

Compiler

Compiled 43 to 10 computations (76.7% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite144.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`distribute-rgt-in`
670×	`distribute-lft-in`
642×	`associate-*r/`
544×	`associate-*l/`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	288	73
2	3828	73

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

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

Outputs

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

simplify200.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-r`
984×	`associate-/l*`
944×	`associate-l`
640×	`associate-/r*`
608×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	630	17248
1	1862	16838

Stop Event

1×	node limit

Counts

304 → 457

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 eps (*.f64 x x)))
✓	7.1b	(.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)))

rewrite56.0ms (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))))))))

simplify67.0ms (0.4%)

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)))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
✓	2.5b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
	2.7b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
✓	3.1b	(sin.f64 (*.f64 1 (+.f64 x eps)))

Compiler

Compiled 99 to 27 computations (72.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-+l+`
704×	`+-commutative`
658×	`associate-+r+`
460×	`add-sqr-sqrt`
452×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	419	64
2	6695	58

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1226×	`fma-def`
1098×	`associate-+r-`
824×	`distribute-lft-in`
816×	`unswap-sqr`
762×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	4229
1	497	4175
2	1919	4069
3	7873	4069

Stop Event

1×	node limit

Counts

109 → 132

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
✓	0.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
	2.7b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
	3.1b	(sin.f64 (*.f64 1 (+.f64 x eps)))

Compiler

Compiled 107 to 32 computations (70.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`associate-+l+`
648×	`+-commutative`
632×	`associate-+r+`
468×	`add-sqr-sqrt`
458×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	61
1	432	53
2	6754	47

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-r`
1128×	`associate-l`
908×	`associate-+r+`
664×	`associate-+l+`
432×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	3077
1	298	3021
2	1023	2837
3	5285	2837

Stop Event

1×	node limit

Counts

59 → 61

Calls

Call 1

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

Outputs
(fabs.f64 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (*.f64 -1 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (neg.f64 x))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) x)
(-.f64 (sin.f64 (+.f64 eps x)) 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))) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (sin.f64 (+.f64 eps x))) 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 x))) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/120 (pow.f64 x 5) (sin.f64 (+.f64 eps x))) x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 eps (.f64 -1 x)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 eps (.f64 -1 x)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 eps (.f64 -1 x)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 eps (.f64 -1 x)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 x (.f64 -1 eps)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 x (.f64 -1 eps)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 x (.f64 -1 eps)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (fabs.f64 (sin.f64 (-.f64 x (.f64 -1 eps)))) (sin.f64 (.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (-.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x))))
(.f64 1 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(.f64 (sqrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) 2))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (/.f64 1 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x))))
(.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2)))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (neg.f64 (-.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2)))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) 2)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) 3)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))) 3) 1/3)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))) 2))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps))) 3))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(exp.f64 (.f64 (log.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))) 1))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(fma.f64 1 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(fma.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (+.f64 eps x)))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	0.3b	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1))
✓	0.4b	(+.f64 (sin.f64 x) 1)
✓	3.8b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1)))

Compiler

Compiled 62 to 22 computations (64.5% saved)

series3.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite193.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`associate-+l+`
624×	`associate-/r*`
512×	`+-commutative`
448×	`associate-+r+`
390×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	120
1	360	92
2	5278	76

Stop Event

1×	node limit

Counts

4 → 256

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (-.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 0 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (-.f64 0 (-.f64 (sin.f64 x) (.f64 (sin.f64 x) 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simplify336.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

760×	`+-commutative`
734×	`associate-+r+`
672×	`associate-+l+`
606×	`associate-r`
560×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	713	19562
1	1912	18640

Stop Event

1×	node limit

Counts

340 → 421

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

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

eval850.0ms (5.6%)

Compiler: Compiled 41980 to 17650 computations (58% saved)

prune604.0ms (4%)

Pruning

68 alts after pruning (62 fresh and 6 done)

	Pruned	Kept	Total
New	1409	21	1430
Fresh	14	41	55
Picked	0	1	1
Done	3	5	8
Total	1426	68	1494

Error

0.0b

Counts

1494 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (log.f64 (exp.f64 (cos.f64 eps))) -1)))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	13.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
	31.1b	(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
	44.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	31.6b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	39.9b	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	16.2b	(/.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))))
	22.8b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	44.5b	(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
▶	30.1b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
	38.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	44.5b	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
	22.8b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
	0.3b	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
	39.3b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.7b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	39.0b	(-.f64 (sin.f64 eps) (sin.f64 x))
	48.7b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	44.0b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
✓	30.0b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1)))
	44.8b	(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
	58.9b	(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
	45.6b	(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
	29.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	31.3b	(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	29.9b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (.f64 -1/720 (pow.f64 eps 6))))))
	0.5b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
✓	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	29.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
	26.0b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
	39.3b	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
	37.8b	(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
	53.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
	60.6b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
	49.0b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
	37.8b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
▶	61.0b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
	39.4b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
	60.4b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 x)))
	50.5b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
	37.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
	48.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
	46.5b	(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
▶	46.7b	(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
✓	46.7b	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	16.3b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
✓	30.9b	(*.f64 (cos.f64 x) eps)
	14.3b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	37.8b	(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
	39.7b	(sin.f64 (+.f64 eps x))
	28.5b	(sin.f64 eps)
	29.9b	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
▶	49.2b	(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
	50.5b	(fabs.f64 (sin.f64 (+.f64 eps x)))
	4.1b	(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	44.8b	eps

Compiler

Compiled 2333 to 1587 computations (32% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	2.0b	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`associate-*r/`
746×	`distribute-rgt-in`
702×	`distribute-lft-in`
644×	`associate-*l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	272	37
2	3568	21

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1282×	`associate-*r/`
1278×	`fma-def`
974×	`+-commutative`
810×	`associate-+l-`
796×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	4109
1	525	3909
2	1787	3769
3	5715	3751

Stop Event

1×	node limit

Counts

81 → 112

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))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 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)) (.f64 (sin.f64 eps) (cos.f64 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)) (.f64 (sin.f64 eps) (cos.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 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (.f64 1 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 1) (neg.f64 (sin.f64 x)))
(+.f64 (.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))))
(-.f64 (+.f64 (sin.f64 (+.f64 eps x)) 0) (sin.f64 x))
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 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 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.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 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (.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))))))
(/.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) (-.f64 (cos.f64 eps) 1)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 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) (-.f64 (cos.f64 eps) 1)) (-.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (.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))) (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) 1) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 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) (-.f64 (cos.f64 eps) 1)) (-.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) (cos.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))))
(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))))

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 x (*.f64 eps x)))
✓	0.1b	(.f64 x (.f64 eps x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`add-sqr-sqrt`
1510×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1378×	`add-cbrt-cube`
1362×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	161	32
2	1900	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1408×	`distribute-lft-in`
1402×	`distribute-rgt-in`
984×	`fma-def`
656×	`log-prod`
636×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1152
1	161	1152
2	680	1152
3	2369	1152
4	6843	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 x (.f64 x eps))) 1)
(pow.f64 (.f64 x (.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x eps))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x eps)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x eps))))
(exp.f64 (log.f64 (.f64 x (.f64 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x eps))))
(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1)
(pow.f64 (.f64 x (.f64 (*.f64 x eps) -1/2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (*.f64 x eps) -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (*.f64 x eps) -1/2))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 (*.f64 x eps) -1/2)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x (*.f64 x eps)) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) x) -1/2))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (*.f64 x eps) -1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (*.f64 x eps) -1/2))))
(exp.f64 (log.f64 (.f64 x (.f64 (*.f64 x eps) -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 x eps) -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (*.f64 x eps) -1/2))))

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
✓	0.4b	(+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))
	0.7b	(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
	2.7b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))

Compiler

Compiled 82 to 18 computations (78% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite145.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`associate-+l+`
628×	`+-commutative`
604×	`associate-+r+`
418×	`add-sqr-sqrt`
410×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	374	74
2	6046	62

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (+.f64 x (fma.f64 2 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 eps x) (-.f64 (fma.f64 2 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (+.f64 x (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (neg.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 eps (+.f64 x eps)) (-.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 eps 0) eps) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 2 x eps) (-.f64 x (-.f64 eps x)))) (/.f64 (pow.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) 2) (+.f64 (fma.f64 2 x eps) (-.f64 x (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x x))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 (-.f64 eps (+.f64 x eps)) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (+.f64 eps (+.f64 eps 0))))) (/.f64 (pow.f64 (fma.f64 2 x eps) 2) (+.f64 x (+.f64 eps (+.f64 eps 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (pow.f64 (-.f64 eps x) 3) (+.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 (fma.f64 2 x eps) (+.f64 x (+.f64 eps (+.f64 eps 0))))))) (/.f64 (pow.f64 (fma.f64 2 x eps) 3) (+.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 (fma.f64 2 x eps) (+.f64 x (+.f64 eps (+.f64 eps 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 eps 0) 0) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))) (sqrt.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))) 2) (cbrt.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) 2)) (/.f64 1 (+.f64 (fma.f64 2 x eps) (-.f64 x (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) (-.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 2 x eps) (-.f64 x (-.f64 eps x))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) (-.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (-.f64 eps x) (fma.f64 2 x eps)) 2)) (+.f64 (fma.f64 2 x eps) 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simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-+l-`
800×	`unswap-sqr`
796×	`associate-+r-`
742×	`+-commutative`
644×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	4467
1	722	3673
2	2762	3345

Stop Event

1×	node limit

Counts

141 → 140

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))
✓	0.7b	(+.f64 x (*.f64 x -3))
✓	2.4b	(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
	3.1b	(sin.f64 (*.f64 1 (+.f64 x eps)))

Compiler

Compiled 75 to 48 computations (36% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite125.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`associate-*r/`
1356×	`associate-*l/`
586×	`associate-+l+`
364×	`+-commutative`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	339	57
2	4672	57

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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simplify171.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1000×	`associate-+r+`
886×	`associate-+l+`
814×	`+-commutative`
640×	`associate-l`
632×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	8380
1	1216	6982
2	5493	6982

Stop Event

1×	node limit

Counts

194 → 246

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 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 (.f64 -1 x)))
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 (.f64 -1 x)))
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 (.f64 -1 x)))
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 (.f64 -1 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
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(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (*.f64 x -2)))
(.f64 (cbrt.f64 (.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))
(.f64 (.f64 (.f64 x -2) (.f64 x 4)) (/.f64 1 (*.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(*.f64 -2 x)
(/.f64 1 (/.f64 (.f64 x 4) (.f64 (.f64 x -2) (.f64 x 4))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x))) (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3)))))
(/.f64 (.f64 (.f64 x -2) (.f64 x 4)) (.f64 x 4))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x))))
(/.f64 (-.f64 (.f64 9 (.f64 x x)) (.f64 x x)) (-.f64 (.f64 x -3) x))
(/.f64 (neg.f64 (.f64 (.f64 x -2) (.f64 x 4))) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x)))))
(/.f64 (.f64 (.f64 (.f64 x -2) (.f64 x 4)) 1) (*.f64 x 4))
(/.f64 (.f64 1 (-.f64 (.f64 9 (.f64 x x)) (.f64 x x))) (-.f64 (*.f64 x -3) x))
(/.f64 (.f64 1 (neg.f64 (.f64 (.f64 x -2) (.f64 x 4)))) (neg.f64 (*.f64 x 4)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))))) (neg.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(/.f64 (.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x)))))
(/.f64 (.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (.f64 (.f64 x -2) (.f64 x 4)))) (sqrt.f64 (.f64 x 4)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (.f64 (.f64 x -2) (.f64 x 4)))) (cbrt.f64 (.f64 x 4)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))) 1) (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) x))))
(/.f64 (.f64 (-.f64 (.f64 9 (.f64 x x)) (.f64 x x)) 1) (-.f64 (*.f64 x -3) x))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x -2) (.f64 x 4))) 1) (neg.f64 (*.f64 x 4)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3)))) 1) (neg.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3)))) (sqrt.f64 (.f64 x -2))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x -2) (.f64 x 4))) (sqrt.f64 (.f64 x -2))) (sqrt.f64 (.f64 x 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (.f64 x -2)) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 x -2) (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -2)) 2)) (cbrt.f64 (.f64 x 4)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 9 (.f64 x x)) 3)) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x))) (.f64 (.f64 x x) (.f64 9 (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (.f64 -27 (pow.f64 x 3)) (.f64 -27 (pow.f64 x 3)))) (/.f64 1 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x))))) (-.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 -27 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (.f64 x -3) x))))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (.f64 (.f64 -27 (pow.f64 x 3)) (.f64 -27 (pow.f64 x 3))) (.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))))))
(pow.f64 (*.f64 x -2) 1)
(pow.f64 (sqrt.f64 (*.f64 x -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -2)) 3)
(pow.f64 (pow.f64 (*.f64 x -2) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x -2) 2))
(log.f64 (exp.f64 (*.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 x -2) 3))
(expm1.f64 (log1p.f64 (*.f64 x -2)))
(exp.f64 (log.f64 (*.f64 x -2)))
(exp.f64 (.f64 (log.f64 (.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -2)))
(fma.f64 1 x (*.f64 x -3))
(fma.f64 1 (*.f64 x -3) x)
(fma.f64 x -3 x)
(fma.f64 -3 x x)
(fma.f64 (sqrt.f64 (.f64 x -3)) (sqrt.f64 (.f64 x -3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x -3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -3)) 2) (cbrt.f64 (.f64 x -3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x -3))
(+.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x -3/2))) (.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x -3/2))))
(+.f64 (.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x -3/2))) (.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x -3/2))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/2 (.f64 x -2))))) 1)
(.f64 1 (sin.f64 (.f64 1/2 (*.f64 x -2))))
(.f64 (sin.f64 (.f64 1/2 (*.f64 x -2))) 1)
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))) (sqrt.f64 (sin.f64 (.f64 1/2 (*.f64 x -2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (*.f64 x -2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))) 2) (cbrt.f64 (sin.f64 (.f64 1/2 (*.f64 x -2)))))
(pow.f64 (sin.f64 (.f64 1/2 (.f64 x -2))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))) 3)
(pow.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 x -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 x -2))) 2))
(log.f64 (exp.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 (.f64 x -2))))))
(cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))))
(exp.f64 (log.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 (*.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (.f64 1/2 (.f64 x -2)))))

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
	0.3b	(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	3.1b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1))
✓	8.0b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))

Compiler

Compiled 70 to 24 computations (65.7% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`associate-+l+`
584×	`associate-/r*`
546×	`+-commutative`
392×	`associate-+r+`
392×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	113
1	362	73
2	5305	49

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify199.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate--r+`
1176×	`fma-def`
770×	`+-commutative`
606×	`associate-+r+`
548×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	652	16668
1	1767	15394
2	7313	15392

Stop Event

1×	node limit

Counts

296 → 398

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

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

eval724.0ms (4.8%)

Compiler: Compiled 38673 to 18095 computations (53.2% saved)

prune747.0ms (5%)

Pruning

76 alts after pruning (67 fresh and 9 done)

	Pruned	Kept	Total
New	1442	21	1463
Fresh	11	46	57
Picked	0	1	1
Done	2	8	10
Total	1455	76	1531

Error

0.0b

Counts

1531 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	22.8b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (log.f64 (exp.f64 (cos.f64 eps))) -1)))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	13.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 -1)))
	0.4b	(fma.f64 (cos.f64 x) (sin.f64 eps) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 2))))
	31.1b	(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
	44.6b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	31.6b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	16.2b	(/.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))))
	16.2b	(/.f64 (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 eps)))) (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))))
	22.8b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	44.5b	(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
✓	30.1b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
	59.0b	(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
	38.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	44.5b	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
	22.8b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
	0.3b	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
✓	37.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.7b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	39.0b	(-.f64 (sin.f64 eps) (sin.f64 x))
	48.7b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	30.0b	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) -1) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (sin.f64 x)))
	62.3b	(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
✓	30.0b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1)))
	44.8b	(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
	58.9b	(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
	45.6b	(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
	29.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	31.3b	(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	29.9b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (.f64 -1/720 (pow.f64 eps 6))))))
✓	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	29.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
	26.0b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
	37.8b	(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
	60.9b	(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
	60.8b	(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
	53.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
	62.8b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
	60.6b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
	61.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
	49.0b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
	37.8b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
	39.4b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
	60.4b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 x)))
	50.5b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
	61.6b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
	61.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
	48.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
	61.0b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
	61.6b	(+.f64 (neg.f64 x) (sin.f64 x))
	46.4b	(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
✓	46.7b	(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
✓	46.7b	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	16.3b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
✓	30.9b	(*.f64 (cos.f64 x) eps)
	14.3b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	37.8b	(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
	39.7b	(sin.f64 (+.f64 eps x))
	28.5b	(sin.f64 eps)
	29.9b	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	59.0b	(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
	60.6b	(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
	35.7b	(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
	50.5b	(fabs.f64 (sin.f64 (+.f64 eps x)))
	42.7b	(fabs.f64 (sin.f64 eps))
	4.1b	(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	44.8b	eps
	61.2b	0

Compiler

Compiled 1356 to 918 computations (32.3% saved)

regimes320.0ms (2.1%)

Counts

124 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(/.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 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(.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 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
(+.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 x) (-.f64 eps (-.f64 (-.f64 x 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)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.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) x) (sin.f64 eps)) (sin.f64 x))
(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.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)))))
(+.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 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.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 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1)))
(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (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 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (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 (cos.f64 x) (sin.f64 eps)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (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 (log.f64 (exp.f64 (cos.f64 eps))) -1)))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) -1) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x)))
(+.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 (cos.f64 x) (sin.f64 eps)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (.f64 -1/720 (pow.f64 eps 6))))))
(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.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 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 eps)))) (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 (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 (-.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)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))

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

Calls

3 calls:

123.0ms	x
73.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
55.0ms	eps

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 2070 to 888 computations (57.1% saved)

regimes165.0ms (1.1%)

Counts

102 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(/.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 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(.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 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
(+.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 x) (-.f64 eps (-.f64 (-.f64 x 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)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.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) x) (sin.f64 eps)) (sin.f64 x))
(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.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)))))
(+.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 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.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 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) 1)))
(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

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

Calls

3 calls:

50.0ms	eps
47.0ms	x
32.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1591 to 708 computations (55.5% saved)

regimes151.0ms (1%)

Counts

91 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(/.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 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(.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 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
(+.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 x) (-.f64 eps (-.f64 (-.f64 x 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)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.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) x) (sin.f64 eps)) (sin.f64 x))
(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.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)))))
(+.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 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.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 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
(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:

54.0ms	eps
40.0ms	x
26.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1429 to 663 computations (53.6% saved)

regimes147.0ms (1%)

Counts

90 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(/.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 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(.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 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
(+.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 x) (-.f64 eps (-.f64 (-.f64 x 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)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.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) x) (sin.f64 eps)) (sin.f64 x))
(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.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)))))
(+.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 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.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 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.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 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))

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

Calls

3 calls:

44.0ms	x
43.0ms	eps
24.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1417 to 659 computations (53.5% saved)

regimes125.0ms (0.8%)

Counts

86 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(/.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 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(.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 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
(+.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 x) (-.f64 eps (-.f64 (-.f64 x 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)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.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) x) (sin.f64 eps)) (sin.f64 x))
(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.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)))))
(+.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 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.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 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (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:

37.0ms	x
36.0ms	eps
22.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
13.8b	1	`x`
13.8b	1	`eps`
13.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1353 to 630 computations (53.4% saved)

regimes125.0ms (0.8%)

Counts

85 → 1

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 1 (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(/.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 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x x)) eps))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (neg.f64 x) (.f64 (*.f64 x x) 4))))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(.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 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (.f64 -2 x)))))) 1)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (sin.f64 x))
(+.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 x) (-.f64 eps (-.f64 (-.f64 x 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)
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (*.f64 x -2))))))) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 (.f64 2 (+.f64 x eps)) (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))))))) (cos.f64 (.f64 1/2 (.f64 1/2 (-.f64 (+.f64 x (+.f64 (.f64 x -2) (-.f64 (-.f64 eps eps) x))) (.f64 2 (+.f64 x eps))))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (.f64 x -2))) (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (+.f64 x eps) (+.f64 eps (.f64 x -2))))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.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) x) (sin.f64 eps)) (sin.f64 x))
(fabs.f64 (+.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (sin.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 x))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (sin.f64 eps) 1))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (sin.f64 eps) x)))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (+.f64 x (*.f64 x -3))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1 (+.f64 x eps))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.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)))))
(+.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 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (.f64 1 (+.f64 x eps)))))
(+.f64 (fabs.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (.f64 x -3))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(.f64 (sin.f64 (.f64 (fma.f64 2 (+.f64 x eps) (+.f64 x (.f64 x -3))) 1/4)) (.f64 2 (cos.f64 (.f64 (+.f64 (.f64 x -3) (-.f64 x (*.f64 2 (+.f64 x eps)))) 1/4))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (/.f64 (+.f64 eps (+.f64 eps (.f64 x 3))) (.f64 x -3)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps (+.f64 eps x))) (+.f64 x x)) (+.f64 (-.f64 eps (+.f64 eps x)) (+.f64 x x)))))) (fabs.f64 (sin.f64 (*.f64 1 (+.f64 x eps)))))
(fabs.f64 (+.f64 (sin.f64 (.f64 1 (+.f64 x eps))) (sin.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)))) (/.f64 1 (.f64 x 4))) (+.f64 (.f64 9 (.f64 x x)) (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.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 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))

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

Calls

3 calls:

38.0ms	eps
37.0ms	x
23.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.3b	1	`x`
14.3b	1	`eps`
14.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1342 to 625 computations (53.4% saved)

regimes114.0ms (0.8%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	eps
40.0ms	x
23.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
15.4b	3	`x`
14.1b	3	`eps`
14.7b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 301 to 151 computations (49.8% saved)

bsearch91.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.1761124980852157e-7	0.00030988488339926765
55.0ms	-3508371.4724855	-0.0021783950935070806

Results

52.0ms	191×	body	256	valid
25.0ms	55×	body	1024	valid
6.0ms	20×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 269 to 197 computations (26.8% saved)

regimes49.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

Inputs
0
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(+.f64 eps (.f64 -1/2 (.f64 x (*.f64 eps x))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 (*.f64 x x) -1/2))) 1))
(+.f64 eps (-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x eps) -1/2))) 1))
(sin.f64 eps)
(sin.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) eps)
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(fabs.f64 (sin.f64 eps))
(fabs.f64 (sin.f64 (+.f64 eps x)))

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

Calls

2 calls:

24.0ms	eps
22.0ms	x

Results

Error	Segments	Branch
15.6b	3	`x`
14.6b	3	`eps`

Compiler

Compiled 83 to 47 computations (43.4% saved)

bsearch81.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	1.1295685458588885e-12	1.1761124980852157e-7
41.0ms	-3508371.4724855	-0.0021783950935070806

Results

32.0ms	183×	body	256	valid
25.0ms	56×	body	1024	valid
11.0ms	37×	body	512	valid
10.0ms	12×	body	2048	valid

Compiler

Compiled 230 to 172 computations (25.2% saved)

regimes14.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

6.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`eps`

Compiler

Compiled 60 to 37 computations (38.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -17.6b remaining (-39.4%)

Threshold costs -17.6b (-39.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
44.8b	1	`x`
44.8b	1	`eps`

Compiler

Compiled 54 to 34 computations (37% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
20×	`+-commutative`
10×	`sub-neg`
4×	`neg-mul-1`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	345
1	83	345
2	90	345
3	94	345
4	96	345

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (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 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 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4574792530279969/147573952589676412928) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 4382356096103031/37778931862957161709568) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.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)) (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)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.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 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4574792530279969/147573952589676412928) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -5072854620270127/2305843009213693952) (not (<=.f64 eps 4574792530279969/147573952589676412928))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 4382356096103031/37778931862957161709568) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 4382356096103031/37778931862957161709568) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Compiler

Compiled 140 to 96 computations (31.4% saved)

soundness170.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1132×	`+-commutative`
1048×	`associate-r`
984×	`associate-/l*`
944×	`associate-l`
888×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	10109
1	1335	9671
2	7075	9671
0	630	17248
1	1862	16838

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 173 to 48 computations (72.3% saved)

end66.0ms (0.4%)

Compiler: Compiled 120 to 51 computations (57.5% saved)

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

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

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

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

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

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