Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.9s (70.9%)

Results

2.4s	3666×	body	1024	valid
1.5s	1247×	body	2048	valid
526.0ms	1404×	body	512	valid
202.0ms	1316×	body	128	valid
166.0ms	621×	body	256	valid
5.0ms	2×	body	4096	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess21.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

76×	`fma-def_binary64`
57×	`fma-neg_binary64`
27×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
18×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	17	22
2	25	22
3	38	22
4	53	22
5	81	22
6	141	22
7	200	22
8	282	22
9	353	22
10	405	22
11	409	22
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 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	31	11
5	48	11
6	86	11
7	124	11
8	172	11
9	208	11
10	234	11
11	236	11

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))

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

38.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	38.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.4b	(sin.f64 (+.f64 x eps))

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`fma-def_binary64`
445×	`log-prod_binary64`
214×	`fma-neg_binary64`
179×	`expm1-udef_binary64`
179×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	173	17
2	2737	17

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

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

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg_binary64`
266×	`cancel-sign-sub-inv_binary64`
264×	`associate-+l-_binary64`
245×	`distribute-rgt-neg-in_binary64`
243×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	602
1	172	587
2	566	572
3	2209	569

Stop Event

1×	node limit

Counts

199 → 180

Calls

Call 1

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

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

prune137.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	172	8	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	8	181

Error

0.1b

Counts

181 → 8

Alt Table

Status	Error	Program
	32.7b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
	24.4b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	24.3b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	29.1b	(fma.f64 (cos.f64 x) (-.f64 eps (.f64 1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/2))))
	44.7b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	24.8b	(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	24.3b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	24.7b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 3523 to 1101 computations (68.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.1b	(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	3.1b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

series11.0ms (0.2%)

Counts

4 → 60

Calls

21 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
346×	`fma-def_binary64`
207×	`expm1-udef_binary64`
207×	`log1p-udef_binary64`
204×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	214	28
2	2940	28

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

461×	`fma-def_binary64`
437×	`cancel-sign-sub-inv_binary64`
398×	`distribute-rgt-neg-in_binary64`
382×	`distribute-lft-neg-in_binary64`
376×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1170
1	307	1144
2	974	1060
3	3759	1060

Stop Event

1×	node limit

Counts

234 → 228

Calls

Call 1

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

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

prune136.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	220	8	228
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	225	11	236

Error

0.1b

Counts

236 → 11

Alt Table

Status	Error	Program
✓	24.3b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	24.3b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	24.4b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	32.4b	(-.f64 (fma.f64 (cos.f64 x) (-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	29.1b	(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps) (.f64 eps (.f64 (*.f64 eps (sin.f64 x)) -1/2)))
	31.6b	(fma.f64 (.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	32.9b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	1.5b	(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	14.9b	(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))

Compiler

Compiled 4470 to 1459 computations (67.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (cos.f64 x) (sin.f64 eps))
1.0ms	x	@	0	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
1.0ms	eps	@	0	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
1.0ms	eps	@	0	(*.f64 (cos.f64 x) (sin.f64 eps))
1.0ms	x	@	-inf	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`fma-def_binary64`
388×	`fma-neg_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
135×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	247	30
2	3625	30

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-def_binary64`
471×	`cancel-sign-sub-inv_binary64`
370×	`associate-r_binary64`
344×	`associate-l_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1266
1	386	1222
2	1286	1092

Stop Event

1×	node limit

Counts

272 → 257

Calls

Call 1

Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (.f64 1/6 (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) x))
(-.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 eps) (pow.f64 x 5))) (+.f64 (.f64 (cos.f64 eps) x) (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) x)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 eps) (pow.f64 x 5))) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 (cos.f64 eps) x) (.f64 1/6 (pow.f64 x 3))))) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 (.f64 1/5040 (.f64 (cos.f64 eps) (pow.f64 x 7))) x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(.f64 -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 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x)))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(sin.f64 eps)
(-.f64 (sin.f64 eps) (.f64 1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 eps) (pow.f64 x 4))) (sin.f64 eps)) (.f64 1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 eps) (pow.f64 x 4))) (sin.f64 eps)) (+.f64 (.f64 1/720 (.f64 (sin.f64 eps) (pow.f64 x 6))) (.f64 1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (.f64 eps (cos.f64 x)) (.f64 1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(-.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x)))) (.f64 1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(-.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x)))))
(sin.f64 eps)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 x (.f64 1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 x (.f64 1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (.f64 eps (cos.f64 x)) (.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (.f64 eps (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 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 eps (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 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

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

prune327.0ms (4.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	284	8	292
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	289	14	303

Error

0.0b

Counts

303 → 14

Alt Table

Status	Error	Program
	28.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 1/40320 (pow.f64 eps 8))) (fma.f64 1/2 (.f64 eps eps) (*.f64 1/720 (pow.f64 eps 6))))))
	24.3b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	32.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 2) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	29.1b	(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps) (.f64 eps (.f64 (*.f64 eps (sin.f64 x)) -1/2)))
	24.4b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	16.2b	(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (/.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	32.4b	(-.f64 (fma.f64 (cos.f64 x) (-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	1.4b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 3) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
▶	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	16.4b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
	14.9b	(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	24.3b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

Compiler

Compiled 6972 to 2454 computations (64.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	0.1b	(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
✓	1.5b	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
✓	1.7b	(-.f64 (cos.f64 eps) 1)

series9.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
1.0ms	eps	@	0	(-.f64 (cos.f64 eps) 1)
1.0ms	x	@	0	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
1.0ms	eps	@	inf	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
1.0ms	x	@	inf	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
89×	`pow1_binary64`
88×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	184	28
2	2191	28

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

460×	`fma-def_binary64`
401×	`sub-neg_binary64`
248×	`cancel-sign-sub-inv_binary64`
215×	`distribute-rgt-neg-in_binary64`
205×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	980
1	229	934
2	753	864
3	3314	864

Stop Event

1×	node limit

Counts

146 → 97

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

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

prune176.0ms (2.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	126	14	140

Error

0.0b

Counts

140 → 14

Alt Table

Status	Error	Program
	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
	32.4b	(-.f64 (fma.f64 (cos.f64 x) (-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	32.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 2) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	29.1b	(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps) (.f64 eps (.f64 (*.f64 eps (sin.f64 x)) -1/2)))
	1.8b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (expm1.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
	24.3b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	16.2b	(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (/.f64 1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	1.4b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 3) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	0.3b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	16.4b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	14.9b	(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	24.3b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

Compiler

Compiled 2983 to 1557 computations (47.8% saved)

regimes448.0ms (6.5%)

Accuracy

Total 0.3b remaining (79.4%)

Threshold costs 0.3b (79.4%)

Counts

171 → 1

Compiler

Compiled 2532 to 849 computations (66.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`mul-1-neg_binary64`
1×	`sub-neg_binary64`
1×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	18	25
2	19	23
3	22	23
4	23	23
5	24	23

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end219.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 309 to 208 computations (32.7% saved)

Iter	Nodes	Cost
0	11	22
1	17	22
2	25	22
3	38	22
4	53	22
5	81	22
6	141	22
7	200	22
8	282	22
9	353	22
10	405	22
11	409	22
0	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	31	11
5	48	11
6	86	11
7	124	11
8	172	11
9	208	11
10	234	11
11	236	11

Iter	Nodes	Cost
0	11	22
1	17	22
2	25	22
3	38	22
4	53	22
5	81	22
6	141	22
7	200	22
8	282	22
9	353	22
10	405	22
11	409	22
0	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	31	11
5	48	11
6	86	11
7	124	11
8	172	11
9	208	11
10	234	11
11	236	11

Details

analyze0.0ms (0%)

sample4.9s (70.9%)

preprocess21.0ms (0.3%)

simplify10.0ms (0.1%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite55.0ms (0.8%)

simplify33.0ms (0.5%)

prune137.0ms (2%)

localize10.0ms (0.1%)

series11.0ms (0.2%)

rewrite65.0ms (1%)

simplify47.0ms (0.7%)

prune136.0ms (2%)

localize14.0ms (0.2%)

series8.0ms (0.1%)

rewrite75.0ms (1.1%)

simplify76.0ms (1.1%)

prune327.0ms (4.8%)

localize12.0ms (0.2%)

series9.0ms (0.1%)

rewrite44.0ms (0.6%)

simplify41.0ms (0.6%)

prune176.0ms (2.6%)

regimes448.0ms (6.5%)

simplify2.0ms (0%)

end219.0ms (3.2%)

Profiling

Iter	Nodes	Cost
0	11	22
1	17	22
2	25	22
3	38	22
4	53	22
5	81	22
6	141	22
7	200	22
8	282	22
9	353	22
10	405	22
11	409	22
0	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	31	11
5	48	11
6	86	11
7	124	11
8	172	11
9	208	11
10	234	11
11	236	11