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)

sample4.4s (31.3%)

Results

2.1s	3529×	body	1024	valid
1.2s	1211×	body	2048	valid
591.0ms	1478×	body	512	valid
448.0ms	2036×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess22.0ms (0.2%)

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)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (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

31.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.5b	(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
1.0ms	eps	@	inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	0	(sin.f64 (+.f64 x eps))
0.0ms	eps	@	0	(sin.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite368.0ms (2.6%)

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))))))) 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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)))))))

simplify143.0ms (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)

eval75.0ms (0.5%)

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

prune89.0ms (0.6%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	241	37	278
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	241	38	279

Error

0.1b

Counts

279 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	32.7b	(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
	50.8b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	32.5b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	32.3b	(/.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)
	32.3b	(/.f64 (.f64 (+.f64 (sin.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2) 2)
	32.0b	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	20.7b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	32.6b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	26.2b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))) (sin.f64 x))
	20.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	33.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	47.2b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (sin.f64 x)) 2))
	32.1b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	33.6b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	31.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	32.9b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	31.9b	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	33.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	32.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	40.5b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	49.8b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	20.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
▶	40.4b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
	24.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	41.3b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	32.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	26.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
▶	32.3b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	20.7b	(+.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)))))
	32.3b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
▶	32.4b	(*.f64 (cos.f64 x) eps)
	11.5b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	32.0b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	40.4b	(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	50.2b	(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

Compiler

Compiled 1193 to 770 computations (35.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	0.2b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	1.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite128.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`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	69
1	287	69
2	3532	69

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

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

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

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simplify194.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-+l+`
1080×	`associate-+r+`
744×	`associate-r`
724×	`+-commutative`
682×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	10294
1	1348	10134
2	6075	10122

Stop Event

1×	node limit

Counts

246 → 306

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

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

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	eps	@	0	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	0	(*.f64 (cos.f64 x) eps)
0.0ms	eps	@	inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	inf	(*.f64 (cos.f64 x) eps)

rewrite48.0ms (0.3%)

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)))))))

simplify57.0ms (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))

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))))))
✓	1.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
✓	3.5b	(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
✓	3.5b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))

Compiler

Compiled 138 to 28 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 (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
0.0ms	x	@	inf	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 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)))
0.0ms	eps	@	0	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`add-sqr-sqrt`
524×	`*-un-lft-identity`
522×	`pow1`
498×	`add-exp-log`
498×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	182
1	491	86

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(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 eps (+.f64 (neg.f64 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (-.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (neg.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps x) (.f64 (neg.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 eps eps) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 eps eps) x) (.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 eps eps) x) (fma.f64 (neg.f64 eps) 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 eps eps) x) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 eps eps) x) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-+r-`
902×	`associate-+l-`
852×	`+-commutative`
548×	`fma-def`
530×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	5186
1	1092	3832
2	5731	3826

Stop Event

1×	node limit

Counts

226 → 248

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	1.1b	(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	1.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	3.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite146.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`associate-*r/`
984×	`distribute-lft-in`
932×	`associate-*l/`
366×	`associate-+l+`
282×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	242	46
2	3315	46

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

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

simplify179.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate--r+`
972×	`fma-def`
616×	`+-commutative`
578×	`associate-+l+`
574×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	14086
1	1673	13250
2	7290	13250

Stop Event

1×	node limit

Counts

266 → 369

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x))))
✓	0.2b	(log1p.f64 (sin.f64 x))
✓	2.5b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
	3.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 41 to 11 computations (73.2% saved)

series135.0ms (1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
64.0ms	x	@	inf	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
40.0ms	x	@	-inf	(log1p.f64 (sin.f64 x))
18.0ms	x	@	-inf	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
10.0ms	eps	@	inf	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
0.0ms	eps	@	0	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`associate-*r/`
1298×	`associate-*l/`
388×	`associate-+l+`
342×	`associate-/r*`
310×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	283	57
2	3872	57

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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

simplify188.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate--r+`
802×	`associate--l+`
784×	`fma-def`
586×	`+-commutative`
550×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	620	17325
1	1619	16947
2	6418	16691

Stop Event

1×	node limit

Counts

293 → 392

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

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

eval717.0ms (5.1%)

Compiler: Compiled 43355 to 18294 computations (57.8% saved)

prune636.0ms (4.6%)

Pruning

67 alts after pruning (64 fresh and 3 done)

	Pruned	Kept	Total
New	1629	47	1676
Fresh	15	17	32
Picked	1	0	1
Done	2	3	5
Total	1647	67	1714

Error

0.0b

Counts

1714 → 67

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.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))))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	12.0b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1))))
	32.7b	(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
	58.6b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	34.1b	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
	50.8b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	47.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	32.5b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	33.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	15.1b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 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))))
	32.3b	(/.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)
	36.6b	(/.f64 (+.f64 0 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))
	26.2b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))) (sin.f64 x))
	20.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	33.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	40.5b	(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -1 (sin.f64 x))) -1)
	40.4b	(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 x) 1))
	32.1b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
✓	31.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	33.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	32.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	40.5b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	49.8b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	40.5b	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (sin.f64 x) 1))
	41.4b	(+.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))))
	47.1b	(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 (pow.f64 x 4) (.f64 eps 1/24)))
	20.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	40.6b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (fma.f64 -1/2 (*.f64 x x) x))) 1)
	41.6b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 x)) 1)
	40.3b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	29.3b	(+.f64 (+.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps))) 1)
	40.6b	(+.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 0 (+.f64 (sin.f64 x) 2))) 1)
	40.6b	(+.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 2))) 1)
	24.7b	(+.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)))
▶	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	32.3b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps (.f64 x 1))))
	61.2b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
▶	33.1b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
	33.2b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (neg.f64 eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	32.2b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	33.4b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (neg.f64 x))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	32.0b	(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	59.8b	(+.f64 (fabs.f64 (+.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 1)
	46.9b	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	33.2b	(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
▶	61.3b	(+.f64 -1 1)
	24.1b	(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (cos.f64 (/.f64 eps 2)) 2))
✓	32.4b	(*.f64 (cos.f64 x) eps)
	11.5b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	24.0b	(sin.f64 eps)
	32.0b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	29.2b	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	40.2b	(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
	40.3b	(log.f64 (exp.f64 (sin.f64 eps)))
	50.2b	(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	49.3b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	45.1b	eps

Compiler

Compiled 1988 to 1372 computations (31% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
	1.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 34 to 13 computations (61.8% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`unswap-sqr`
802×	`swap-sqr`
562×	`associate-*r/`
558×	`distribute-rgt-in`
526×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	281	52
2	3377	52

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1404×	`fma-def`
1176×	`associate-/l*`
942×	`unswap-sqr`
794×	`+-commutative`
770×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	4229
1	585	4201
2	2030	4107
3	5564	4095

Stop Event

1×	node limit

Counts

97 → 140

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
✓	0.3b	(+.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))))))
	3.5b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))

Compiler

Compiled 82 to 18 computations (78% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`associate-+l+`
634×	`+-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	6053	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 eps))

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

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

896×	`associate-+l-`
840×	`+-commutative`
824×	`associate-+r-`
800×	`unswap-sqr`
638×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	4569
1	786	3769
2	2946	3533

Stop Event

1×	node limit

Counts

141 → 166

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(*.f64 (cos.f64 eps) x)
✓	1.1b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series18.0ms (0.1%)

Counts

2 → 14

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	eps	@	inf	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
0.0ms	eps	@	-inf	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
0.0ms	x	@	0	(*.f64 (cos.f64 eps) x)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`associate-*r/`
1042×	`distribute-rgt-in`
996×	`distribute-lft-in`
960×	`associate-*l/`
336×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	239	38
2	3329	38

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

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

simplify160.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-+r-`
1064×	`associate--r+`
786×	`fma-def`
736×	`associate--l+`
490×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	11145
1	1253	10819
2	5804	10807

Stop Event

1×	node limit

Counts

179 → 256

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	1.5b	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite114.0ms (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	81
1	286	57
2	4010	57

Stop Event

1×	node limit

Counts

3 → 225

Calls

Call 1

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

Outputs

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

simplify144.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1016×	`associate-r`
998×	`fma-def`
862×	`associate-/l*`
850×	`associate-l`
548×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	19127
1	1888	17931

Stop Event

1×	node limit

Counts

297 → 413

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

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

eval475.0ms (3.4%)

Compiler: Compiled 35743 to 14527 computations (59.4% saved)

prune385.0ms (2.8%)

Pruning

72 alts after pruning (66 fresh and 6 done)

	Pruned	Kept	Total
New	1296	26	1322
Fresh	19	40	59
Picked	0	1	1
Done	2	5	7
Total	1317	72	1389

Error

0.0b

Counts

1389 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
	0.3b	(fma.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.3b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	23.2b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
▶	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	32.7b	(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	58.6b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	34.1b	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
	50.8b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	47.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	32.5b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	33.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	41.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	15.1b	(/.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 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
	15.1b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 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))))
	32.3b	(/.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)
	36.6b	(/.f64 (+.f64 0 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))
	26.2b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))) (sin.f64 x))
	20.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	33.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	32.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
	40.5b	(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -1 (sin.f64 x))) -1)
	20.7b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
	32.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	34.1b	(-.f64 (sin.f64 eps) x)
	49.8b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	47.1b	(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 (pow.f64 x 4) (.f64 eps 1/24)))
	40.6b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (fma.f64 -1/2 (*.f64 x x) x))) 1)
	41.6b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 x)) 1)
	40.3b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	29.3b	(+.f64 (+.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps))) 1)
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.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)))
	10.9b	(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
	12.0b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	32.4b	(+.f64 (sin.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (.f64 -2 x) x) 2)) (-.f64 x (-.f64 (.f64 -2 x) x))))) (sin.f64 eps))
	32.7b	(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 eps))
	32.3b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps (.f64 x 1))))
▶	61.2b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
	24.0b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (neg.f64 eps))))) (sin.f64 eps))
	33.0b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 eps))
	33.4b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (neg.f64 x))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	32.0b	(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	23.2b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	59.8b	(+.f64 (fabs.f64 (+.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 1)
▶	46.9b	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	33.2b	(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
✓	61.3b	(+.f64 -1 1)
	15.2b	(.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)))
	34.4b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
	24.1b	(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (cos.f64 (/.f64 eps 2)) 2))
▶	33.0b	(.f64 (sin.f64 (.f64 1/2 (fma.f64 (.f64 -2 x) 1/2 eps))) (.f64 2 (cos.f64 (-.f64 (/.f64 eps 2) (/.f64 x -2)))))
✓	32.4b	(*.f64 (cos.f64 x) eps)
	61.6b	(*.f64 (cos.f64 eps) x)
	11.5b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	60.0b	(sin.f64 (neg.f64 x))
	24.0b	(sin.f64 eps)
	32.0b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	29.2b	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	40.3b	(log.f64 (exp.f64 (sin.f64 eps)))
	50.5b	(fabs.f64 (+.f64 (sin.f64 eps) (sin.f64 (.f64 (.f64 -2 x) 1/2))))
	35.4b	(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	49.3b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	45.1b	eps

Compiler

Compiled 2278 to 1551 computations (31.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (log1p.f64 (sin.f64 x)))
✓	0.2b	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))
	0.2b	(log1p.f64 (sin.f64 x))
	1.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	0	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	inf	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (sin.f64 x)))
0.0ms	x	@	-inf	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`*-commutative`
800×	`unswap-sqr`
658×	`associate-*r/`
586×	`swap-sqr`
536×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	247	26
2	2829	26

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (sin.f64 x)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) 2) 2)))) (#(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 *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 x) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (sin.f64 x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (+.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 1)) (+.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x))) (+.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 1)) (+.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) 1) (+.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 1)) (+.f64 (sin.f64 x) 2)))))) (#(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 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)))))))

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate-/r/`
834×	`associate-r`
760×	`associate-l`
696×	`associate-+r-`
638×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	4404
1	795	4224
2	5523	4220

Stop Event

1×	node limit

Counts

128 → 164

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.5b	(.f64 eps (.f64 x x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 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	@	-inf	(.f64 eps (.f64 x x))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`add-sqr-sqrt`
1110×	`*-un-lft-identity`
1042×	`pow1`
1026×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1473	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.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 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1184×	`log-prod`
740×	`associate-r`
696×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	455
1	94	455
2	354	455
3	1919	455

Stop Event

1×	node limit

Counts

35 → 14

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 (+.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 (.f64 eps eps) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(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))))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 x x))))

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 (+.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 (.f64 eps eps) (pow.f64 x 4)))
(.f64 eps (.f64 x x))
(.f64 x (.f64 eps x))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(.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))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 x x))))
(.f64 eps (.f64 x x))
(.f64 x (.f64 eps x))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))
✓	0.6b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
	0.7b	(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
	3.5b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))

Compiler

Compiled 82 to 18 computations (78% 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)))))) (sin.f64 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	@	-inf	(+.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 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
0.0ms	eps	@	inf	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	374	47
2	6046	41

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1170×	`associate-r`
1050×	`associate-l`
908×	`associate-+r+`
688×	`associate-+l+`
530×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2696
1	278	2656
2	964	2492
3	4950	2492

Stop Event

1×	node limit

Counts

64 → 59

Calls

Call 1

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

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

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

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

✓

3.3b

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

✓

3.3b

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

Compiler

Compiled 84 to 63 computations (25% saved)

series7.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite133.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`distribute-lft-in`
654×	`associate-/l*`
478×	`associate-/r*`
428×	`add-sqr-sqrt`
410×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	107
1	416	95
2	5329	95

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1566×	`distribute-lft-in`
1540×	`distribute-rgt-in`
878×	`associate-r`
762×	`associate-+r+`
674×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	322	6558
1	954	6048
2	3737	6048

Stop Event

1×	node limit

Counts

128 → 171

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
✓	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	3.5b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series39.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	eps	@	-inf	(*.f64 (sin.f64 eps) (cos.f64 x))
14.0ms	x	@	inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.0ms	eps	@	-inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	-inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.0ms	eps	@	inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`associate-*r/`
748×	`distribute-rgt-in`
698×	`distribute-lft-in`
636×	`associate-*l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	272	81
2	3567	61

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

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

Outputs

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

simplify236.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-+l-`
1382×	`associate-+r-`
1100×	`fma-def`
632×	`associate-r`
524×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	548	13996
1	1499	13518
2	6716	13506

Stop Event

1×	node limit

Counts

262 → 358

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

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

eval629.0ms (4.5%)

Compiler: Compiled 30839 to 15012 computations (51.3% saved)

prune494.0ms (3.5%)

Pruning

77 alts after pruning (69 fresh and 8 done)

	Pruned	Kept	Total
New	1159	16	1175
Fresh	8	53	61
Picked	0	1	1
Done	3	7	10
Total	1170	77	1247

Error

0.0b

Counts

1247 → 77

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
	0.3b	(fma.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.3b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	23.2b	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
✓	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	59.6b	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
	0.3b	(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 (+.f64 (sin.f64 x) 2) 2) (+.f64 (cos.f64 eps) -1)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (+.f64 (sin.f64 x) 1) 1) (+.f64 (cos.f64 eps) -1)))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	32.7b	(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	58.6b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	34.1b	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
	47.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	33.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	41.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	15.1b	(/.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 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
	15.1b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 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))))
	32.3b	(/.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)
	36.6b	(/.f64 (+.f64 0 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))
	26.2b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))) (sin.f64 x))
	20.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	33.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	32.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
	40.5b	(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -1 (sin.f64 x))) -1)
	20.7b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
	32.6b	(-.f64 (sin.f64 eps) (sin.f64 x))
	34.1b	(-.f64 (sin.f64 eps) x)
	49.8b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	47.1b	(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 (pow.f64 x 4) (.f64 eps 1/24)))
	40.6b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 (fma.f64 -1/2 (*.f64 x x) x))) 1)
	41.6b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (exp.f64 x)) 1)
	40.3b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	29.3b	(+.f64 (+.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps))) 1)
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.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)))
	10.9b	(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
	12.0b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	32.4b	(+.f64 (sin.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (.f64 -2 x) x) 2)) (-.f64 x (-.f64 (.f64 -2 x) x))))) (sin.f64 eps))
	60.9b	(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
	32.7b	(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 eps))
	61.1b	(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x x))) eps))) (sin.f64 x))
	62.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (.f64 x x))))) (sin.f64 x))
	32.3b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (+.f64 eps (.f64 x 1))))
	24.0b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (neg.f64 eps))))) (sin.f64 eps))
	61.2b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
	33.0b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 eps))
	33.4b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (fabs.f64 (neg.f64 x))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	61.3b	(+.f64 (sin.f64 (.f64 1/2 (fabs.f64 (.f64 -2 x)))) (sin.f64 x))
	23.2b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	59.8b	(+.f64 (fabs.f64 (+.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 1)
✓	46.9b	(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
	33.2b	(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	61.3b	(+.f64 0 (sin.f64 x))
	15.2b	(.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)))
	34.4b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
	24.1b	(.f64 (.f64 2 (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 eps)))
	33.3b	(.f64 (sin.f64 (.f64 1/2 (fma.f64 (.f64 -2 x) 1/2 eps))) (.f64 2 (cos.f64 (*.f64 1/2 eps))))
	51.2b	(.f64 (sin.f64 (.f64 1/2 (fma.f64 (.f64 -2 x) 1/2 eps))) (.f64 2 (cos.f64 (*.f64 -1/2 x))))
	24.5b	(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 2 (cos.f64 (-.f64 (/.f64 eps 2) (/.f64 x -2)))))
	60.3b	(.f64 (sin.f64 (.f64 -1/2 x)) (*.f64 2 (cos.f64 (-.f64 (/.f64 eps 2) (/.f64 x -2)))))
	60.0b	(.f64 (sin.f64 (.f64 -1/2 x)) (.f64 2 (cos.f64 (.f64 -1/2 x))))
✓	32.4b	(*.f64 (cos.f64 x) eps)
	11.5b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	60.0b	(sin.f64 (neg.f64 x))
	24.0b	(sin.f64 eps)
	29.2b	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	40.3b	(log.f64 (exp.f64 (sin.f64 eps)))
	50.5b	(fabs.f64 (+.f64 (sin.f64 eps) (sin.f64 (.f64 (.f64 -2 x) 1/2))))
	35.4b	(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	49.3b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	45.1b	eps
	61.3b	0

Compiler

Compiled 1251 to 865 computations (30.9% saved)

regimes347.0ms (2.5%)

Counts

127 → 1

Calls

Call 1

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

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

Calls

3 calls:

118.0ms	eps
109.0ms	x
41.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`eps`
0.2b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1794 to 763 computations (57.5% saved)

regimes185.0ms (1.3%)

Counts

91 → 1

Calls

Call 1

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

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

Calls

3 calls:

76.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
43.0ms	x
40.0ms	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 1100 to 513 computations (53.4% saved)

regimes149.0ms (1.1%)

Counts

89 → 1

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	x
38.0ms	eps
37.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
10.9b	1	`x`
10.9b	1	`eps`
10.9b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1069 to 498 computations (53.4% saved)

regimes145.0ms (1%)

Counts

84 → 1

Calls

Call 1

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

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

Results

Error	Segments	Branch
11.5b	1	`x`
11.5b	1	`eps`
11.5b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1014 to 477 computations (53% saved)

regimes228.0ms (1.6%)

Counts

40 → 3

Calls

Call 1

Inputs
0
eps
(+.f64 -1 1)
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(sin.f64 eps)
(sin.f64 (neg.f64 x))
(*.f64 (cos.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(+.f64 0 (sin.f64 x))
(-.f64 (sin.f64 eps) x)
(+.f64 (-.f64 (sin.f64 eps) 1) 1)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x 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 (sin.f64 (+.f64 x eps)) (exp.f64 x)) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(.f64 (sin.f64 (.f64 -1/2 x)) (.f64 2 (cos.f64 (.f64 -1/2 x))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (cos.f64 (/.f64 eps 2)) 2))
(.f64 (.f64 2 (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 eps)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 x) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -1 (sin.f64 x))) -1)
(/.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 (+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 2))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (neg.f64 eps))))) (sin.f64 eps))
(.f64 (sin.f64 (.f64 -1/2 x)) (*.f64 2 (cos.f64 (-.f64 (/.f64 eps 2) (/.f64 x -2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 2 (cos.f64 (-.f64 (/.f64 eps 2) (/.f64 x -2)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (+.f64 x eps)) x))) (sin.f64 x))
(+.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 0 (+.f64 (sin.f64 x) 2))) 1)
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 (pow.f64 x 4) (.f64 eps 1/24)))
(+.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 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x x))) eps))) (sin.f64 x))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))

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

Calls

3 calls:

97.0ms	eps
55.0ms	x
35.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.1b	3	`x`
10.9b	3	`eps`
11.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 411 to 216 computations (47.4% saved)

bsearch93.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	5.376305536435333e-14	2493544085.4159822
48.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

36.0ms	224×	body	256	valid
24.0ms	60×	body	1024	valid
18.0ms	40×	body	512	valid
11.0ms	12×	body	2048	valid

Compiler

Compiled 329 to 241 computations (26.7% saved)

regimes76.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	x
22.0ms	eps

Results

Error	Segments	Branch
12.3b	3	`x`
11.3b	3	`eps`

Compiler

Compiled 71 to 43 computations (39.4% saved)

bsearch124.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	5.376305536435333e-14	2493544085.4159822
81.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

54.0ms	42×	body	512	valid
35.0ms	235×	body	256	valid
23.0ms	50×	body	1024	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 406 to 289 computations (28.8% saved)

regimes127.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

99.0ms	x
26.0ms	eps

Results

Error	Segments	Branch
12.3b	3	`x`
11.3b	3	`eps`

Compiler

Compiled 55 to 33 computations (40% saved)

bsearch179.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	5.376305536435333e-14	2493544085.4159822
100.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

71.0ms	223×	body	256	valid
63.0ms	64×	body	1024	valid
12.0ms	44×	body	512	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 266 to 199 computations (25.2% saved)

regimes14.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

8.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
24.0b	1	`x`
24.0b	1	`eps`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -17.4b remaining (-38.6%)

Threshold costs -17.4b (-38.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
45.1b	1	`x`
45.1b	1	`eps`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-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	60	342
1	90	342
2	97	342
3	101	342
4	103	342

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (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))))))
(if (<=.f64 eps -7201608886376209/590295810358705651712) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7791904696734915/2361183241434822606848) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -519460313115661/590295810358705651712) (+.f64 0 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))) (if (<=.f64 eps 6050532056176733/147573952589676412928) (.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -6050532056176733/147573952589676412928) (sin.f64 eps) (if (<=.f64 eps 5902958103587057/147573952589676412928) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Outputs
(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 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 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))))))
(if (<=.f64 eps -7201608886376209/590295810358705651712) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7791904696734915/2361183241434822606848) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -7201608886376209/590295810358705651712) (not (<=.f64 eps 7791904696734915/2361183241434822606848))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(if (<=.f64 eps -519460313115661/590295810358705651712) (+.f64 0 (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))) (if (<=.f64 eps 6050532056176733/147573952589676412928) (.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -519460313115661/590295810358705651712) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (if (<=.f64 eps 6050532056176733/147573952589676412928) (.f64 eps (cos.f64 x)) (sin.f64 eps)))
(if (<=.f64 eps -6050532056176733/147573952589676412928) (sin.f64 eps) (if (<=.f64 eps 5902958103587057/147573952589676412928) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -6050532056176733/147573952589676412928) (sin.f64 eps) (if (<=.f64 eps 5902958103587057/147573952589676412928) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Compiler

Compiled 141 to 96 computations (31.9% saved)

soundness102.0ms (0.7%)

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

Compiler

Compiled 145 to 36 computations (75.2% saved)

end68.0ms (0.5%)

Compiler: Compiled 123 to 56 computations (54.5% 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