Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.7s (33.7%)

Results

2.1s	3609×	body	1024	valid
1.6s	1316×	body	2048	valid
637.0ms	1375×	body	512	valid
368.0ms	1955×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

38.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	5.3b	(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	eps	@	-inf	(sin.f64 (+.f64 x eps))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

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

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

221 → 278

Calls

Call 1

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

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

eval79.0ms (0.6%)

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

prune118.0ms (0.8%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	240	38	278
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	39	279

Error

0.1b

Counts

279 → 39

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	30.7b	(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)))))
	30.7b	(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
	38.8b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	38.7b	(/.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)
	38.4b	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	22.6b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	38.9b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	28.4b	(-.f64 (/.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)))))) (sin.f64 x))
▶	46.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
	22.6b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	52.7b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	39.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	38.5b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	39.2b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	40.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	38.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
	46.4b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	48.1b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	22.6b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	32.2b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	42.6b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	30.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	34.2b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
▶	30.7b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
▶	38.6b	(+.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))))))
	22.7b	(+.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)))))
	38.8b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
▶	30.5b	(*.f64 (cos.f64 x) eps)
	15.7b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	46.2b	(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	48.2b	(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

Compiler

Compiled 1201 to 774 computations (35.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	0.1b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	1.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 36 to 16 computations (55.6% saved)

series6.0ms (0%)

Counts

4 → 64

Calls

18 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

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

simplify186.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-+l+`
1270×	`associate-+r+`
912×	`associate-r`
824×	`+-commutative`
796×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	10494
1	1420	10324
2	6714	10324

Stop Event

1×	node limit

Counts

268 → 336

Calls

Call 1

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	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	eps	@	inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	0	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) eps)
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)))))))

simplify54.0ms (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))

localize52.0ms (0.4%)

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))))))
✓	1.2b	(+.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))))))
✓	3.4b	(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
✓	5.4b	(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x 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	(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x 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)))

rewrite114.0ms (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
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.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
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simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1122×	`+-commutative`
1084×	`associate--r+`
1062×	`associate-+l-`
986×	`associate--l+`
934×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	10550
1	1094	7486
2	5365	7424

Stop Event

1×	node limit

Counts

226 → 268

Calls

Call 1

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

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
✓	0.1b	(*.f64 -1/6 (pow.f64 eps 3))
✓	3.0b	(.f64 (sin.f64 x) (.f64 eps eps))
✓	5.9b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))

Compiler

Compiled 72 to 37 computations (48.6% saved)

series9.0ms (0.1%)

Counts

4 → 64

Calls

21 calls:

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

rewrite157.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

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

simplify256.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-/r*`
874×	`associate-+r+`
812×	`associate-r`
794×	`associate-+l+`
772×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	13976
1	1172	12750
2	5301	12750

Stop Event

1×	node limit

Counts

206 → 246

Calls

Call 1

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

Outputs
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (.f64 eps (.f64 eps x)) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 x x))))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps x)) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 x x)) (.f64 1/12 (.f64 (.f64 eps eps) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps x)) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (fma.f64 1/12 (.f64 eps (.f64 eps (pow.f64 x 3))) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (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 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) 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 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (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 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) 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 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 -1/6 (.f64 (pow.f64 eps 3) (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 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) 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 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) x)
(.f64 (.f64 eps eps) x)
(.f64 eps (.f64 eps x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (.f64 eps eps) x))
(fma.f64 -1/6 (.f64 eps (.f64 eps (pow.f64 x 3))) (.f64 eps (.f64 eps x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 eps eps) x)))
(fma.f64 -1/6 (.f64 eps (.f64 eps (pow.f64 x 3))) (fma.f64 (.f64 eps eps) x (.f64 (.f64 eps eps) (.f64 (pow.f64 x 5) 1/120))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/5040 (.f64 (.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 eps eps) x))))
(fma.f64 -1/5040 (.f64 (.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (.f64 eps (.f64 eps (pow.f64 x 3))) (fma.f64 (.f64 eps eps) x (.f64 (.f64 eps eps) (.f64 (pow.f64 x 5) 1/120)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 x x)))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/24 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (.f64 -1/2 (.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/24 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4)) (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 x x))))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 x x)) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (pow.f64 x 4) 1/24))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/24 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (.f64 -1/720 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 6)))))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/24 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 x x)) (.f64 -1/720 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 6)))))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 1/24 (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (pow.f64 x 4)) (fma.f64 -1/720 (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (pow.f64 x 6)) (.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (*.f64 x x) -1/2)))))
(*.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))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
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(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (pow.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 3)) (fma.f64 (.f64 eps (cos.f64 x)) (.f64 eps (cos.f64 x)) (.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/216 (pow.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 3)) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (fma.f64 (.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x))) (.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) (neg.f64 eps))) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 eps eps) (.f64 1/36 (pow.f64 eps 6)))) (.f64 (sqrt.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (cos.f64 x))) (sqrt.f64 (+.f64 eps (.f64 1/6 (pow.f64 eps 3)))))
(/.f64 (sqrt.f64 (fma.f64 eps eps (neg.f64 (.f64 (pow.f64 eps 6) 1/36)))) (/.f64 (sqrt.f64 (+.f64 eps (.f64 (pow.f64 eps 3) 1/6))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps)) (sqrt.f64 (fma.f64 eps eps (.f64 (pow.f64 eps 6) -1/36)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 3) 1/6 eps)) (cos.f64 x)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3)))) (.f64 (sqrt.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (cos.f64 x))) (sqrt.f64 (fma.f64 eps eps (-.f64 (.f64 1/36 (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) -1/6)))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (/.f64 (sqrt.f64 (fma.f64 eps eps (-.f64 (.f64 (pow.f64 eps 6) 1/36) (.f64 -1/6 (pow.f64 eps 4))))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (*.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3))))))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sqrt.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 1/36 (*.f64 (pow.f64 eps 4) 1/6)))) (sqrt.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 eps 3)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 1/36 (.f64 (pow.f64 eps 4) 1/6))))) (*.f64 (cos.f64 x) (sqrt.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(pow.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) 1)
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 2)
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 3)
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) 3) 1/3)
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) 2))
(sqrt.f64 (pow.f64 (.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x)) 2))
(fabs.f64 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) 3))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) 1))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(fma.f64 (cos.f64 x) eps (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))))
(.f64 (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log1p.f64 (sin.f64 (+.f64 x eps)))
✓	3.4b	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
	5.3b	(sin.f64 (+.f64 x eps))
✓	10.1b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))

Compiler

Compiled 44 to 13 computations (70.5% saved)

series136.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
70.0ms	x	@	inf	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
35.0ms	eps	@	-inf	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
12.0ms	eps	@	inf	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
11.0ms	x	@	-inf	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
5.0ms	eps	@	0	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))

rewrite148.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`associate-*r/`
1420×	`associate-*l/`
380×	`associate-+l+`
340×	`associate-/r*`
316×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	287	47
2	3706	47

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

Outputs

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

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

simplify183.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

890×	`associate-r`
874×	`associate-+r+`
800×	`+-commutative`
774×	`associate-+l+`
716×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	756	19146
1	2186	18658

Stop Event

1×	node limit

Counts

318 → 426

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 1 (sin.f64 eps)) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))))) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 1 (sin.f64 eps)) (+.f64 (.f64 1/6 (+.f64 (.f64 3 (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (+.f64 (.f64 -1 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps)))) (.f64 2 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps)))))) (+.f64 1 (sin.f64 eps)))) (.f64 1/6 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3)))))) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 1 (sin.f64 eps)) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))))) (pow.f64 x 2))) (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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (*.f64 (+.f64 1 (sin.f64 x)) (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 3 (/.f64 (.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (+.f64 1 (sin.f64 x)))))) (.f64 (+.f64 1 (sin.f64 x)) (pow.f64 eps 3))) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (*.f64 (+.f64 1 (sin.f64 x)) (pow.f64 eps 2)))))
(+.f64 (.f64 (+.f64 1 (sin.f64 x)) (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 3 (/.f64 (.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (cos.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))) 2)) (+.f64 (.f64 1/24 (+.f64 (.f64 -6 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (+.f64 1 (sin.f64 x)) 4))) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (+.f64 (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) (.f64 -12 (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (pow.f64 (+.f64 1 (sin.f64 x)) 3)))))))) (.f64 1/24 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (+.f64 1 (sin.f64 x)) 4))))))) (pow.f64 eps 4))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 3 (/.f64 (.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (+.f64 1 (sin.f64 x)))))) (.f64 (+.f64 1 (sin.f64 x)) (pow.f64 eps 3))) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (*.f64 (+.f64 1 (sin.f64 x)) (pow.f64 eps 2))))))
(-.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))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) -1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)) 2)) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2)) 1) (/.f64 1 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))) (+.f64 1 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) 3) 1) (/.f64 1 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))) (+.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) 1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3) (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))) (+.f64 1 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))) (+.f64 (+.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3) (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)) 1) (*.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3) 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) -1) 1) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) -1) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)) 1) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) 3))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)) 1))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))
(fma.f64 1 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) -1)
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) (sqrt.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 2) (cbrt.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) -1)
(+.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 0)
(+.f64 0 (log1p.f64 (sin.f64 (+.f64 x eps))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps)))) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))) 1)
(*.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (log1p.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 2))
(log.f64 (+.f64 1 (sin.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1))

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

eval606.0ms (4.4%)

Compiler: Compiled 42839 to 20003 computations (53.3% saved)

prune453.0ms (3.3%)

Pruning

72 alts after pruning (68 fresh and 4 done)

	Pruned	Kept	Total
New	1337	51	1388
Fresh	16	17	33
Picked	1	0	1
Done	1	4	5
Total	1355	72	1427

Error

0.0b

Counts

1427 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
	17.4b	(fma.f64 (sin.f64 eps) (pow.f64 (sqrt.f64 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
▶	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))))
	16.9b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
	28.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
✓	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	30.2b	(fma.f64 (sin.f64 eps) 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	30.7b	(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))))
	30.7b	(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
	30.6b	(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
	58.4b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	47.5b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	1.5b	(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 3)
	38.8b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	38.4b	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	22.6b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	38.9b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	46.2b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1) (sin.f64 x))
	30.9b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
	22.6b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	33.7b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 1)
	52.7b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	39.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.2b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	40.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	38.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
	46.4b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶	48.1b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	22.6b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	30.7b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x))))
	32.2b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	0.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	47.1b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/36) (.f64 eps eps)) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 3)) eps) (cos.f64 x))))
✓	30.7b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	47.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (.f64 eps eps)) (+.f64 eps (-.f64 eps x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	47.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x eps) (+.f64 x eps))) (+.f64 x (+.f64 eps eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (-.f64 (+.f64 eps (+.f64 x x)) (.f64 x -2)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	60.9b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
	38.9b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
	48.5b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (+.f64 eps (.f64 x 1)))))
▶	38.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))) (.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.8b	(+.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))))))
	38.2b	(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	46.3b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
	39.4b	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
	30.8b	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
	61.9b	(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
▶	48.2b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) eps)
	30.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) eps)
	38.7b	(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
	38.6b	(.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (.f64 (cos.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) 2))
	30.5b	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
	30.6b	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) eps)
	30.6b	(*.f64 (log.f64 (exp.f64 (cos.f64 x))) eps)
	38.8b	(*.f64 (fabs.f64 (cos.f64 x)) eps)
✓	30.5b	(*.f64 (cos.f64 x) eps)
	15.7b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	23.6b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps eps) (-.f64 eps eps)) 1/4)) (cos.f64 (.f64 (-.f64 eps (+.f64 (fma.f64 x 2 eps) (*.f64 2 (+.f64 x eps)))) 1/4))))
	38.7b	(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (cos.f64 (/.f64 (*.f64 1/2 (-.f64 (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x)))) (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))))) 2))))
	31.1b	(sin.f64 eps)
	30.7b	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	48.2b	(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	31.5b	(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	48.9b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	53.0b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	45.9b	eps

Compiler

Compiled 2497 to 1633 computations (34.6% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
✓	0.2b	(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	0.4b	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series7.0ms (0.1%)

Counts

4 → 64

Calls

18 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`associate-*r/`
1548×	`associate-/r*`
1400×	`associate-*l/`
298×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	295	64
2	3749	64

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-r`
700×	`+-commutative`
694×	`associate-/l*`
618×	`associate-+r+`
612×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	8129
1	1268	7453
2	6011	7307

Stop Event

1×	node limit

Counts

221 → 286

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)))))
(+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (sin.f64 x)) (+.f64 (.f64 1/48 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))))) (.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 (cos.f64 eps) 1))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(+.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))
(+.f64 (neg.f64 (cos.f64 eps)) -1)
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -1)
(+.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (-.f64 -1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))
(*.f64 1 (-.f64 -1 (cos.f64 eps)))
(*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (+.f64 -1 (cos.f64 eps)))
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(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(+.f64 (fma.f64 1/2 (.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/3))
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(.f64 (.f64 eps eps) (sin.f64 x))
(.f64 eps (.f64 eps (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(fma.f64 (.f64 eps eps) (sin.f64 x) (.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 4) -1/3 (.f64 eps eps)))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)))))
(fma.f64 (.f64 eps eps) (sin.f64 x) (fma.f64 -1/3 (.f64 (pow.f64 eps 4) (sin.f64 x)) (.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x)))))
(fma.f64 (.f64 eps eps) (sin.f64 x) (.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(.f64 (sin.f64 x) (fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (.f64 (pow.f64 eps 6) 2/45))))
(+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))))))
(fma.f64 -1/315 (.f64 (pow.f64 eps 8) (sin.f64 x)) (fma.f64 (.f64 eps eps) (sin.f64 x) (fma.f64 -1/3 (.f64 (pow.f64 eps 4) (sin.f64 x)) (.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 4) -1/3 (.f64 (pow.f64 eps 6) 2/45))) (.f64 (sin.f64 x) (fma.f64 eps eps (.f64 -1/315 (pow.f64 eps 8)))))
(.f64 (sin.f64 x) (fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (.f64 (pow.f64 eps 6) 2/45)))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(fma.f64 -1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (.f64 x (pow.f64 (sin.f64 eps) 2)))
(.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(fma.f64 -1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (*.f64 x (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (.f64 -1/6 (pow.f64 x 3)) (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(fma.f64 -1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (fma.f64 1/120 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (.f64 x (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (.f64 1/120 (pow.f64 x 5)))) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (+.f64 x (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (.f64 (*.f64 eps eps) (sin.f64 x)) -1/2)
(.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24)) (.f64 (.f64 (*.f64 eps eps) (sin.f64 x)) -1/2))
(-.f64 (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x))))
(.f64 (sin.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (.f64 (.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24)) (.f64 (.f64 (*.f64 eps eps) (sin.f64 x)) -1/2)))
(-.f64 (-.f64 (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)) (.f64 (pow.f64 eps 4) (.f64 -1/24 (sin.f64 x)))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 17/1440) (.f64 (sin.f64 x) 1/96))))
(-.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (pow.f64 eps 6) (.f64 (sin.f64 x) 1/720)))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (sin.f64 x)) (+.f64 (.f64 1/48 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))))) (.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (.f64 (.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (.f64 (pow.f64 eps 8) (-.f64 (.f64 (sin.f64 x) -1/630) (fma.f64 1/48 (.f64 (sin.f64 x) -1/24) (fma.f64 -1/4 (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (.f64 (.f64 (sin.f64 x) -1/24) -1/4))) (.f64 (sin.f64 x) -1/2880))))) (fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24)) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) -1/2))))
(-.f64 (-.f64 (-.f64 (.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps eps)) (.f64 (pow.f64 eps 4) (.f64 -1/24 (sin.f64 x)))) (.f64 (pow.f64 eps 8) (-.f64 (fma.f64 (sin.f64 x) -1/630 (neg.f64 (.f64 (sin.f64 x) -1/1152))) (fma.f64 -1/4 (-.f64 (.f64 (sin.f64 x) 17/1440) (.f64 (sin.f64 x) 1/96)) (.f64 (sin.f64 x) -1/2880))))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 17/1440) (*.f64 (sin.f64 x) 1/96))))
(-.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (sin.f64 x) 1/720)) (.f64 (pow.f64 eps 8) (-.f64 (.f64 (sin.f64 x) -29/40320) (fma.f64 -1/4 (.f64 (sin.f64 x) 1/720) (.f64 (sin.f64 x) -1/2880))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))))
(fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) x))))
(-.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) x)) (*.f64 -1/120 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 3)) (-.f64 (.f64 -1/120 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) x)))
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(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (-.f64 -1 (cos.f64 eps))))
(*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (cos.f64 eps)))
(*.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) 1) (+.f64 -1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2) (-.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2) (-.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)))
(pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) 1)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) 3)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) 3) 1/3)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(pow.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	4.0b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) eps)

Compiler

Compiled 30 to 16 computations (46.7% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1932×	`*-un-lft-identity`
1804×	`add-cube-cbrt`
1786×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	204	36
2	2496	36

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

872×	`associate-/l*`
700×	`times-frac`
614×	`distribute-lft-in`
600×	`unswap-sqr`
582×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	2240
1	324	2080
2	1100	2048
3	4225	2048

Stop Event

1×	node limit

Counts

92 → 85

Calls

Call 1

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

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps)))))
✓	1.2b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
✓	3.4b	(-.f64 eps (+.f64 (*.f64 x 3) eps))
	5.4b	(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))

Compiler

Compiled 134 to 55 computations (59% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`add-sqr-sqrt`
562×	`*-un-lft-identity`
560×	`pow1`
536×	`add-exp-log`
536×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	117
1	533	99

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

(-.f64 eps (+.f64 (*.f64 x 3) eps))

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

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

Outputs

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate-+r+`
1150×	`associate-+l+`
834×	`associate-/l*`
780×	`+-commutative`
684×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	8124
1	846	7088
2	3550	6612

Stop Event

1×	node limit

Counts

170 → 187

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.6b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
✓	5.3b	(sin.f64 (+.f64 eps x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1724×	`associate-*l/`
982×	`+-commutative`
918×	`associate-+l-`
654×	`associate-+r-`
562×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	10164
1	1166	8738
2	5370	8738

Stop Event

1×	node limit

Counts

174 → 249

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
	1.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`associate-*r/`
1200×	`associate-*l/`
394×	`associate-+l+`
326×	`add-sqr-sqrt`
320×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	306	40
2	4129	40

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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((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 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (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 (sin.f64 eps) (cos.f64 x)))))))

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1746×	`associate-*r/`
1712×	`associate-/r*`
712×	`+-commutative`
594×	`associate-+r+`
518×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	10104
1	1021	9774
2	4429	9774

Stop Event

1×	node limit

Counts

156 → 212

Calls

Call 1

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

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

eval611.0ms (4.4%)

Compiler: Compiled 37495 to 17179 computations (54.2% saved)

prune518.0ms (3.7%)

Pruning

75 alts after pruning (67 fresh and 8 done)

	Pruned	Kept	Total
New	1298	29	1327
Fresh	25	38	63
Picked	0	1	1
Done	1	7	8
Total	1324	75	1399

Error

0.0b

Counts

1399 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
▶	0.4b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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))))
	28.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))))
✓	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	30.7b	(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))))
	30.7b	(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 (cos.f64 x) eps))
	58.4b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	47.5b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	1.5b	(pow.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))) 3)
	38.4b	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	0.5b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
	22.6b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	30.9b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
	30.8b	(-.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (cos.f64 x))))) 1)
	52.7b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	39.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
✓	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.2b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	40.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	38.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	48.1b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	60.3b	(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
	48.2b	(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
	0.4b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
▶	0.4b	(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	22.6b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	16.9b	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
	32.2b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	27.0b	(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (cos.f64 x)))
	34.1b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
✓	0.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
	30.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) eps))
	30.2b	(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	30.7b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))
	0.4b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	30.7b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	61.0b	(+.f64 (sin.f64 (.f64 1/2 (-.f64 x (.f64 3 x)))) (sin.f64 x))
	53.2b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (fma.f64 (+.f64 (.f64 -3 x) eps) (+.f64 (.f64 -3 x) eps) (neg.f64 (.f64 eps eps))) (+.f64 eps (+.f64 (.f64 -3 x) eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	47.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (.f64 eps eps)) (+.f64 eps (-.f64 eps x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	47.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x eps) (+.f64 x eps))) (+.f64 x (+.f64 eps eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (-.f64 (+.f64 eps (+.f64 x x)) (.f64 x -2)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 (+.f64 eps (*.f64 x 1))))
	38.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 eps))
▶	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))) (.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.8b	(+.f64 (sin.f64 (.f64 1/2 (.f64 2 (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (.f64 -3 x)))))
	38.2b	(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	46.3b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
	39.4b	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
	30.8b	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
	61.9b	(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
✓	48.2b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) eps)
	30.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) eps)
	38.7b	(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
▶	62.2b	(.f64 (.f64 x x) (*.f64 eps -1/2))
	38.6b	(.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (.f64 (cos.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) 2))
	30.5b	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
	30.6b	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) eps)
	30.6b	(*.f64 (log.f64 (exp.f64 (cos.f64 x))) eps)
	38.8b	(*.f64 (fabs.f64 (cos.f64 x)) eps)
✓	30.5b	(*.f64 (cos.f64 x) eps)
	15.7b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	23.6b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps eps) (-.f64 eps eps)) 1/4)) (cos.f64 (.f64 (-.f64 eps (+.f64 (fma.f64 x 2 eps) (*.f64 2 (+.f64 x eps)))) 1/4))))
	38.7b	(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (cos.f64 (/.f64 (*.f64 1/2 (-.f64 (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x)))) (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))))) 2))))
	31.1b	(sin.f64 eps)
	30.7b	(log.f64 (exp.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
▶	48.2b	(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	48.6b	(fabs.f64 (sin.f64 (+.f64 eps x)))
	31.5b	(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	31.5b	(exp.f64 (log.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
	48.9b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	53.0b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	45.9b	eps

Compiler

Compiled 2500 to 1678 computations (32.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.1b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	1.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 34 to 13 computations (61.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`unswap-sqr`
826×	`swap-sqr`
648×	`associate-*r/`
634×	`associate-*l/`
574×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	288	37
2	3564	37

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

842×	`*-commutative`
646×	`+-commutative`
620×	`fma-def`
616×	`unswap-sqr`
590×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	3257
1	377	3253
2	1284	3219
3	3911	3219
4	7730	3219

Stop Event

1×	node limit

Counts

63 → 82

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.2b	(.f64 (.f64 x x) (*.f64 eps -1/2))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1384×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1350×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	19
2	1955	19

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1388×	`distribute-rgt-in`
1362×	`distribute-lft-in`
1230×	`associate-r`
1116×	`associate-l`
1088×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	694
1	115	694
2	465	694
3	2858	688

Stop Event

1×	node limit

Counts

36 → 20

Calls

Call 1

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

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

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))
✓	0.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
✓	3.4b	(-.f64 eps (+.f64 x eps))
	5.4b	(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))

Compiler

Compiled 118 to 28 computations (76.3% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`add-sqr-sqrt`
520×	`*-un-lft-identity`
518×	`pow1`
494×	`add-exp-log`
494×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	107
1	488	21

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-+r+`
906×	`unswap-sqr`
854×	`*-commutative`
682×	`associate-*r/`
522×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	4637
1	747	2933
2	3333	2501

Stop Event

1×	node limit

Counts

163 → 159

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	5.3b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 28 to 7 computations (75% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
✓	0.1b	(/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
	0.1b	(*.f64 (sin.f64 eps) (cos.f64 x))
	1.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 53 to 26 computations (50.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite143.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`associate-/r*`
942×	`associate-/l*`
710×	`associate-/r/`
368×	`associate-+l+`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	344	58
2	4684	46

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

simplify166.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

762×	`+-commutative`
742×	`associate-+r+`
642×	`associate-+l+`
580×	`distribute-lft-neg-in`
576×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	9917
1	1271	9177
2	5103	9089

Stop Event

1×	node limit

Counts

179 → 242

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

eval624.0ms (4.5%)

Compiler: Compiled 33808 to 14614 computations (56.8% saved)

prune670.0ms (4.8%)

Pruning

90 alts after pruning (78 fresh and 12 done)

	Pruned	Kept	Total
New	1221	21	1242
Fresh	5	57	62
Picked	0	1	1
Done	1	11	12
Total	1227	90	1317

Error

0.0b

Counts

1317 → 90

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
✓	0.4b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	14.4b	(fma.f64 (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
✓	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	30.7b	(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))))
	30.7b	(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 (cos.f64 x) eps))
	58.4b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	47.5b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	1.5b	(pow.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))) 3)
	38.4b	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	0.5b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
	22.6b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	30.9b	(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
	30.8b	(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (cos.f64 x))))) 1)
	52.7b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	39.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
✓	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.2b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	40.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	38.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	48.1b	(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
	60.3b	(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
	48.2b	(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
	0.4b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	0.4b	(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	30.2b	(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
	22.6b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	16.9b	(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
	32.2b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	34.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
	27.0b	(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (cos.f64 x)))
	30.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 1/24 (.f64 eps eps)) -1/2)) (.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 eps) (cos.f64 x)))
	34.1b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
✓	0.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
	30.4b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) eps))
	30.2b	(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	30.7b	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))
	28.8b	(+.f64 (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 1/24 (.f64 eps eps)) -1/2))) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.4b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	30.7b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	61.0b	(+.f64 (sin.f64 (.f64 1/2 (-.f64 x (.f64 3 x)))) (sin.f64 x))
	53.2b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (fma.f64 (+.f64 (.f64 -3 x) eps) (+.f64 (.f64 -3 x) eps) (neg.f64 (.f64 eps eps))) (+.f64 eps (+.f64 (.f64 -3 x) eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	47.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 (-.f64 eps x) (-.f64 eps x)) (.f64 eps eps)) (+.f64 (-.f64 eps x) eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	47.7b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x eps) (+.f64 x eps))) (+.f64 x (+.f64 eps eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (-.f64 (+.f64 eps (+.f64 x x)) (.f64 x -2)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.9b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 eps))
	31.0b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 (+.f64 eps (.f64 x 1))))
	60.9b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 x))
	30.9b	(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 eps))
	39.1b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))) (.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	39.4b	(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (.f64 (/.f64 (neg.f64 x) (+.f64 x (+.f64 eps eps))) (+.f64 x (+.f64 eps eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	38.8b	(+.f64 (sin.f64 (.f64 1/2 (.f64 2 (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (.f64 -3 x)))))
	38.2b	(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
	46.3b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
	39.4b	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
	30.8b	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
	61.9b	(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
✓	48.2b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) eps)
	30.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) eps)
	30.6b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))
	38.7b	(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
✓	62.2b	(.f64 (.f64 x x) (*.f64 eps -1/2))
	38.6b	(.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (.f64 (cos.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) 2))
	30.5b	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
	30.6b	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) eps)
	30.6b	(*.f64 (log.f64 (exp.f64 (cos.f64 x))) eps)
✓	30.5b	(*.f64 (cos.f64 x) eps)
	62.1b	(.f64 x (.f64 x (*.f64 -1/2 eps)))
	15.7b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	23.6b	(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps eps) (-.f64 eps eps)) 1/4)) (cos.f64 (.f64 (-.f64 eps (+.f64 (fma.f64 x 2 eps) (*.f64 2 (+.f64 x eps)))) 1/4))))
	38.7b	(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (cos.f64 (/.f64 (*.f64 1/2 (-.f64 (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x)))) (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))))) 2))))
	60.4b	(.f64 2 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))))
	39.3b	(sin.f64 (+.f64 x eps))
	61.0b	(sin.f64 x)
	31.1b	(sin.f64 eps)
	30.7b	(log.f64 (exp.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
	48.4b	(fabs.f64 (/.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))
✓	48.2b	(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	48.4b	(fabs.f64 (+.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)))))))
	37.2b	(fabs.f64 (.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
	48.6b	(fabs.f64 (sin.f64 (+.f64 eps x)))
	31.5b	(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	31.5b	(exp.f64 (log.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
	48.9b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	53.0b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	45.9b	eps
	61.2b	0

Compiler

Compiled 1632 to 1078 computations (33.9% saved)

regimes234.0ms (1.7%)

Counts

140 → 1

Calls

Call 1

Inputs
0
eps
(.f64 x (.f64 x (*.f64 -1/2 eps)))
(.f64 (.f64 x x) (*.f64 eps -1/2))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) eps)
(sin.f64 eps)
(sin.f64 x)
(sin.f64 (+.f64 x eps))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(.f64 2 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (cos.f64 x)) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 x (.f64 3 x)))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 eps))
(+.f64 (sin.f64 (.f64 1/2 (.f64 2 (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (.f64 -3 x)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 (+.f64 eps (.f64 x 1))))
(+.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 (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 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(.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 eps (+.f64 (.f64 x 3) eps))))) (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 eps (+.f64 x 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 eps (+.f64 (.f64 x 3) 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 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))) (.f64 -2 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 (+.f64 eps (+.f64 x x)) (.f64 x -2)))))) (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 (neg.f64 x) (+.f64 x (+.f64 eps eps))) (+.f64 x (+.f64 eps 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 (.f64 eps eps) (.f64 (+.f64 x eps) (+.f64 x eps))) (+.f64 x (+.f64 eps 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 (.f64 (-.f64 eps x) (-.f64 eps x)) (.f64 eps eps)) (+.f64 (-.f64 eps x) eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (cos.f64 (/.f64 (*.f64 1/2 (-.f64 (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x)))) (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))))) 2))))
(.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (.f64 (cos.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) 2))
(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (log.f64 (exp.f64 (cos.f64 x))) eps)
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) eps)
(-.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)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) eps))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 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)))))
(fabs.f64 (.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 x) (.f64 (.f64 eps eps) (+.f64 (.f64 1/24 (.f64 eps eps)) -1/2))) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (+.f64 eps (.f64 x 1)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps eps) (-.f64 eps eps)) 1/4)) (cos.f64 (.f64 (-.f64 eps (+.f64 (fma.f64 x 2 eps) (*.f64 2 (+.f64 x eps)))) 1/4))))
(fabs.f64 (+.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)))))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (.f64 eps eps)) (+.f64 eps (-.f64 eps 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 (fma.f64 (+.f64 (.f64 -3 x) eps) (+.f64 (.f64 -3 x) eps) (neg.f64 (.f64 eps eps))) (+.f64 eps (+.f64 (.f64 -3 x) eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(log.f64 (exp.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))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.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)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 1/24 (.f64 eps eps)) -1/2)) (.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/36) (.f64 eps eps)) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 3)) eps) (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) eps)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.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 (.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 (+.f64 (cos.f64 eps) 1) 2)))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x))))
(-.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(exp.f64 (log.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
(log.f64 (exp.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 1)
(-.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (cos.f64 x))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (cos.f64 x))))) 1)
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))
(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 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 3)
(fma.f64 (sin.f64 eps) (pow.f64 (sqrt.f64 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(+.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 (.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)))))) (sin.f64 x))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))

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

Calls

3 calls:

71.0ms	x
68.0ms	eps
39.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`eps`
0.4b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 2340 to 945 computations (59.6% saved)

regimes236.0ms (1.7%)

Counts

107 → 1

Calls

Call 1

Inputs
0
eps
(.f64 x (.f64 x (*.f64 -1/2 eps)))
(.f64 (.f64 x x) (*.f64 eps -1/2))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) eps)
(sin.f64 eps)
(sin.f64 x)
(sin.f64 (+.f64 x eps))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(.f64 2 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (cos.f64 x)) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (pow.f64 eps 3) (.f64 -1/6 (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 x (.f64 3 x)))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 x))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))))) (sin.f64 eps))
(+.f64 (sin.f64 (.f64 1/2 (.f64 2 (+.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 x (.f64 -3 x)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (sin.f64 (+.f64 eps (.f64 x 1))))
(+.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 (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 2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(.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 eps (+.f64 (.f64 x 3) eps))))) (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 eps (+.f64 x 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 eps (+.f64 (.f64 x 3) 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 (sin.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))) (.f64 -2 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 (+.f64 eps (+.f64 x x)) (.f64 x -2)))))) (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 (neg.f64 x) (+.f64 x (+.f64 eps eps))) (+.f64 x (+.f64 eps 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 (.f64 eps eps) (.f64 (+.f64 x eps) (+.f64 x eps))) (+.f64 x (+.f64 eps 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 (.f64 (-.f64 eps x) (-.f64 eps x)) (.f64 eps eps)) (+.f64 (-.f64 eps x) eps))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (cos.f64 (/.f64 (*.f64 1/2 (-.f64 (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x)))) (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))))) 2))))
(.f64 (sin.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) (.f64 (cos.f64 (.f64 1/2 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 eps (+.f64 0 (+.f64 eps (+.f64 x x))))))))) 2))
(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps (+.f64 (.f64 x 3) eps))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2)) (cos.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))) (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) 1/2))) 2)
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (log.f64 (exp.f64 (cos.f64 x))) eps)
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 3) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 x)))) eps)
(-.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)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) eps))
(+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 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)))))
(fabs.f64 (.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 x) (.f64 (.f64 eps eps) (+.f64 (.f64 1/24 (.f64 eps eps)) -1/2))) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps (+.f64 x eps))))) (.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 (+.f64 eps (.f64 x 1)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps eps) (-.f64 eps eps)) 1/4)) (cos.f64 (.f64 (-.f64 eps (+.f64 (fma.f64 x 2 eps) (*.f64 2 (+.f64 x eps)))) 1/4))))
(fabs.f64 (+.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)))))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1))
(+.f64 (sin.f64 (.f64 1/2 (+.f64 x (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (.f64 eps eps)) (+.f64 eps (-.f64 eps 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 (fma.f64 (+.f64 (.f64 -3 x) eps) (+.f64 (.f64 -3 x) eps) (neg.f64 (.f64 eps eps))) (+.f64 eps (+.f64 (.f64 -3 x) eps)))))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(log.f64 (exp.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))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.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)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 1/24 (.f64 eps eps)) -1/2)) (.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))) (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/36) (.f64 eps eps)) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 3)) eps) (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x))) eps)

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

Calls

3 calls:

96.0ms	x
74.0ms	eps
31.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`eps`
0.4b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1713 to 713 computations (58.4% saved)

regimes240.0ms (1.7%)

Counts

99 → 1

Calls

Call 1

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

83.0ms	eps
62.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
43.0ms	x

Results

Error	Segments	Branch
15.7b	1	`x`
15.7b	1	`eps`
15.7b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1569 to 648 computations (58.7% saved)

regimes169.0ms (1.2%)

Counts

30 → 3

Calls

Call 1

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

60.0ms	x
60.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
40.0ms	eps

Results

Error	Segments	Branch
16.7b	3	`x`
15.4b	3	`eps`
15.5b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 284 to 139 computations (51.1% saved)

bsearch125.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	4.2090412589519787e-19	6.9202681909995835e-18
79.0ms	-17.30113936134325	-0.6206499947021784

Results

71.0ms	50×	body	1024	valid
21.0ms	126×	body	256	valid
20.0ms	36×	body	512	valid
10.0ms	12×	body	2048	valid

Compiler

Compiled 224 to 164 computations (26.8% saved)

regimes65.0ms (0.5%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
22.0ms	eps

Results

Error	Segments	Branch
17.0b	3	`x`
15.8b	3	`eps`

Compiler

Compiled 80 to 44 computations (45% saved)

bsearch78.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	4.2090412589519787e-19	6.9202681909995835e-18
43.0ms	-0.6206499947021784	-3.4348289635492425e-7

Results

31.0ms	69×	body	1024	valid
25.0ms	138×	body	256	valid
10.0ms	36×	body	512	valid
9.0ms	13×	body	2048	valid

Compiler

Compiled 206 to 154 computations (25.2% saved)

regimes14.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

7.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
31.1b	1	`x`
31.1b	1	`eps`

Compiler

Compiled 41 to 24 computations (41.5% saved)

regimes32.0ms (0.2%)

Accuracy

Total -16.7b remaining (-36.4%)

Threshold costs -16.7b (-36.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

26.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 33 to 20 computations (39.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
16×	`+-commutative`
8×	`sub-neg`
4×	`neg-mul-1`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	232
1	66	232
2	72	232
3	76	232
4	78	232

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 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.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 -5674535530486825/9007199254740992) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4478356040486289/649037107316853453566312041152512) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 4478356040486289/649037107316853453566312041152512) (*.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 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (cos.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 -5674535530486825/9007199254740992) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4478356040486289/649037107316853453566312041152512) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -5674535530486825/9007199254740992) (not (<=.f64 eps 4478356040486289/649037107316853453566312041152512))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 4478356040486289/649037107316853453566312041152512) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 4478356040486289/649037107316853453566312041152512) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Compiler

Compiled 98 to 69 computations (29.6% saved)

soundness138.0ms (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

Compiler

Compiled 145 to 36 computations (75.2% saved)

end85.0ms (0.6%)

Compiler: Compiled 84 to 44 computations (47.6% 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