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)

sample4.8s (69.6%)

Results

2.3s	3639×	body	1024	valid
1.5s	1202×	body	2048	valid
557.0ms	1418×	body	512	valid
214.0ms	1373×	body	128	valid
170.0ms	623×	body	256	valid
2.0ms	1×	body	4096	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess20.0ms (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)

simplify9.0ms (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))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

37.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	37.1b	(-.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
✓	0.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.5b	(sin.f64 (+.f64 x eps))

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x	@	0	(sin.f64 (+.f64 x eps))
1.0ms	eps	@	0	(sin.f64 (+.f64 x eps))
1.0ms	eps	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite59.0ms (0.9%)

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

prune145.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	174	6	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	6	181

Error

0.1b

Counts

181 → 6

Alt Table

Status	Error	Program
	22.6b	(-.f64 (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))) (sin.f64 x))
▶	21.9b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	26.6b	(-.f64 (/.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)))))) (sin.f64 x))
	21.9b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	30.5b	(.f64 eps (-.f64 (cos.f64 x) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
	22.4b	(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)))

Compiler

Compiled 3521 to 1061 computations (69.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	0.1b	(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	3.3b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

series13.0ms (0.2%)

Counts

4 → 60

Calls

21 calls:

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

rewrite64.0ms (0.9%)

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-def_binary64`
437×	`cancel-sign-sub-inv_binary64`
399×	`distribute-rgt-neg-in_binary64`
381×	`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	3769	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))
(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)))
(*.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)))))
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 (+.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)))
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(sin.f64 eps)
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(sin.f64 x)
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(+.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 (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))))
(+.f64 (fma.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))))
(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 (cos.f64 eps) x (.f64 (cos.f64 eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 (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)))
(-.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 1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)))))
(-.f64 (fma.f64 (cos.f64 eps) x (.f64 (cos.f64 eps) (.f64 (pow.f64 x 5) 1/120))) (fma.f64 1/6 (.f64 (cos.f64 eps) (pow.f64 x 3)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 7) 1/5040))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) x)) (.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 1/5040 (pow.f64 x 7)))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) x)) (.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -1/5040))))
(sin.f64 x)
(-.f64 (sin.f64 x) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (sin.f64 x) (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (.f64 eps (.f64 eps (sin.f64 x))) -1/2 (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))))
(+.f64 (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (sin.f64 x)) (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)) (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(.f64 (sin.f64 x) (-.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (.f64 eps (*.f64 eps 1/2))))
(.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 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) 1) (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))))))
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 (fma.f64 1/120 (pow.f64 eps 5) eps) (*.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 1/5040 (pow.f64 eps 7) (*.f64 1/6 (pow.f64 eps 3))))
(+.f64 (fma.f64 1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 7) -1/5040)) (fma.f64 (pow.f64 eps 3) -1/6 eps))

prune153.0ms (2.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	221	7	228
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	223	11	234

Error

0.1b

Counts

234 → 11

Alt Table

Status	Error	Program
	21.9b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	16.5b	(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)))
	0.8b	(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)))
▶	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	30.5b	(.f64 eps (-.f64 (cos.f64 x) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
	31.9b	(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)))
	34.1b	(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)))
	22.6b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1)) (sin.f64 x))
	22.4b	(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)))
	26.6b	(-.f64 (/.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)))))) (sin.f64 x))
✓	21.9b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

Compiler

Compiled 4521 to 1473 computations (67.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)
✓	0.1b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	1.6b	(+.f64 (cos.f64 eps) -1)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	eps	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	x	@	-inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	x	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	eps	@	0	(+.f64 (cos.f64 eps) -1)

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`prod-diff_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
189×	`fma-def_binary64`
146×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	227	36
2	2916	30

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def_binary64`
575×	`sub-neg_binary64`
424×	`cancel-sign-sub-inv_binary64`
273×	`associate-l_binary64`
257×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1102
1	327	1032
2	1070	986
3	4767	986

Stop Event

1×	node limit

Counts

173 → 157

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

prune212.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	179	7	186
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	185	12	197

Error

0.0b

Counts

197 → 12

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)))
	31.9b	(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)))
	20.3b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	22.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	1.6b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	15.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))
	29.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
	16.5b	(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)))
	0.8b	(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)))
✓	21.9b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	34.1b	(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)))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))

Compiler

Compiled 3933 to 1709 computations (56.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)))
✓	0.3b	(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)
	1.6b	(+.f64 (cos.f64 eps) -1)
✓	10.5b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

363×	`prod-diff_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`
156×	`fma-def_binary64`
137×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	293	44
2	3287	44

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))

(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)

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

Outputs

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`cancel-sign-sub-inv_binary64`
312×	`fma-neg_binary64`
279×	`fma-def_binary64`
215×	`sub-neg_binary64`
198×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1854
1	619	1758
2	2494	1691

Stop Event

1×	node limit

Counts

166 → 145

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(-.f64 (+.f64 (.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 -1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))
(-.f64 (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3))) (.f64 1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3))))
(-.f64 (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3))) (+.f64 (.f64 7/1920 (.f64 (pow.f64 eps 10) (pow.f64 (sin.f64 x) 3))) (.f64 1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))))
(-.f64 (+.f64 (.f64 1/3780 (.f64 (pow.f64 eps 12) (pow.f64 (sin.f64 x) 3))) (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3)))) (+.f64 (.f64 7/1920 (.f64 (pow.f64 eps 10) (pow.f64 (sin.f64 x) 3))) (.f64 1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 x 3))
(-.f64 (+.f64 (.f64 3/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 5))) (+.f64 (.f64 1/2 (pow.f64 x 5)) (+.f64 (.f64 3 (.f64 (cos.f64 eps) (pow.f64 x 3))) (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 3))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 eps) (pow.f64 x 5))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 5))) (+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 3)) (+.f64 (.f64 13/120 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 7))) (+.f64 (.f64 3/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 5))) (+.f64 (.f64 3 (.f64 (cos.f64 eps) (pow.f64 x 3))) (.f64 13/40 (.f64 (cos.f64 eps) (pow.f64 x 7)))))))) (+.f64 (.f64 13/120 (pow.f64 x 7)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 5))) (+.f64 (pow.f64 x 3) (+.f64 (.f64 3/2 (.f64 (cos.f64 eps) (pow.f64 x 5))) (+.f64 (.f64 13/40 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 7))) (.f64 3 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 3)) (+.f64 (.f64 41/1008 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 9))) (+.f64 (.f64 13/120 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 7))) (+.f64 (.f64 3/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 5))) (+.f64 (.f64 3 (.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 (.f64 41/3024 (pow.f64 x 9)) (.f64 13/40 (.f64 (cos.f64 eps) (pow.f64 x 7)))))))))) (+.f64 (.f64 13/120 (pow.f64 x 7)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 5))) (+.f64 (pow.f64 x 3) (+.f64 (.f64 41/3024 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 9))) (+.f64 (.f64 3/2 (.f64 (cos.f64 eps) (pow.f64 x 5))) (+.f64 (.f64 13/40 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 7))) (+.f64 (.f64 41/1008 (.f64 (cos.f64 eps) (pow.f64 x 9))) (.f64 3 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))))))))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.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))
(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 (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))

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps)))
(.f64 (sin.f64 x) (.f64 -1/2 (*.f64 eps eps)))
(-.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.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 -1/2 (*.f64 eps eps))))
(-.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(-.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 1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 1/720 (pow.f64 eps 6))))
(.f64 (sin.f64 x) (-.f64 (fma.f64 1/24 (pow.f64 eps 4) (.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 1/40320 (pow.f64 eps 8)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/2 (.f64 eps eps)) (*.f64 1/720 (pow.f64 eps 6)))))
(.f64 (sin.f64 x) (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/40320 (pow.f64 eps 8))) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 1/720 (pow.f64 eps 6)))))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 x (cos.f64 eps)) 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 x (cos.f64 eps) (.f64 1/6 (pow.f64 x 3))) (fma.f64 (.f64 (cos.f64 eps) 1/6) (pow.f64 x 3) x))
(fma.f64 x (cos.f64 eps) (-.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 x (cos.f64 eps) (.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 (fma.f64 x (cos.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 5) (-.f64 (.f64 (cos.f64 eps) 1/120) 1/120))) (fma.f64 (.f64 (cos.f64 eps) 1/6) (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 (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 1/120 (.f64 (cos.f64 eps) (pow.f64 x 5)) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 x (cos.f64 eps) (.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 (+.f64 (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 x (cos.f64 eps) (.f64 1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 5) (-.f64 (.f64 (cos.f64 eps) 1/120) 1/120))) (+.f64 x (.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/5040 (pow.f64 x 7))))))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(.f64 -1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))
(.f64 (pow.f64 eps 6) (.f64 (pow.f64 (sin.f64 x) 3) -1/8))
(-.f64 (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3))) (.f64 1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3))) (.f64 -1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3))))
(.f64 (pow.f64 (sin.f64 x) 3) (-.f64 (.f64 (pow.f64 eps 8) 1/32) (*.f64 (pow.f64 eps 6) 1/8)))
(.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (pow.f64 eps 8) 1/32 (.f64 (pow.f64 eps 6) -1/8)))
(-.f64 (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3))) (+.f64 (.f64 7/1920 (.f64 (pow.f64 eps 10) (pow.f64 (sin.f64 x) 3))) (.f64 1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))))
(-.f64 (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3))) (fma.f64 7/1920 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 10)) (.f64 (*.f64 1/8 (pow.f64 eps 6)) (pow.f64 (sin.f64 x) 3))))
(-.f64 (.f64 (.f64 1/32 (pow.f64 (sin.f64 x) 3)) (pow.f64 eps 8)) (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (.f64 (pow.f64 eps 6) 1/8) (*.f64 7/1920 (pow.f64 eps 10)))))
(.f64 (pow.f64 (sin.f64 x) 3) (-.f64 (fma.f64 (pow.f64 eps 8) 1/32 (.f64 (pow.f64 eps 6) -1/8)) (*.f64 7/1920 (pow.f64 eps 10))))
(-.f64 (+.f64 (.f64 1/3780 (.f64 (pow.f64 eps 12) (pow.f64 (sin.f64 x) 3))) (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3)))) (+.f64 (.f64 7/1920 (.f64 (pow.f64 eps 10) (pow.f64 (sin.f64 x) 3))) (.f64 1/8 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))))
(-.f64 (fma.f64 1/3780 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 12)) (.f64 1/32 (.f64 (pow.f64 eps 8) (pow.f64 (sin.f64 x) 3)))) (fma.f64 7/1920 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 10)) (.f64 (.f64 1/8 (pow.f64 eps 6)) (pow.f64 (sin.f64 x) 3))))
(-.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (.f64 (pow.f64 eps 8) 1/32) (.f64 1/3780 (pow.f64 eps 12)))) (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (.f64 (pow.f64 eps 6) 1/8) (.f64 7/1920 (pow.f64 eps 10)))))
(.f64 (pow.f64 (sin.f64 x) 3) (-.f64 (+.f64 (.f64 1/3780 (pow.f64 eps 12)) (.f64 (pow.f64 eps 8) 1/32)) (+.f64 (.f64 7/1920 (pow.f64 eps 10)) (*.f64 (pow.f64 eps 6) 1/8))))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3))
(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(-.f64 (+.f64 (.f64 3/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 5))) (+.f64 (.f64 1/2 (pow.f64 x 5)) (+.f64 (.f64 3 (.f64 (cos.f64 eps) (pow.f64 x 3))) (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 3))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 eps) (pow.f64 x 5))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 x 5))) (+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))) (pow.f64 x 3)))))
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(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

prune247.0ms (3.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	189	13	202

Error

0.0b

Counts

202 → 13

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)))
	31.9b	(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)))
	20.3b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	22.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	1.6b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	15.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))
	19.5b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
	29.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
	16.5b	(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)))
	0.8b	(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)))
✓	21.9b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	34.1b	(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)))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)) 3)))

Compiler

Compiled 4685 to 2499 computations (46.7% saved)

regimes575.0ms (8.4%)

Accuracy

Total 0.3b remaining (78.2%)

Threshold costs 0.3b (78.2%)

Counts

277 → 1

Compiler

Compiled 4361 to 1531 computations (64.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	23	32
2	25	32
3	26	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))))

Outputs

(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))))

(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (pow.f64 (sin.f64 eps) 2))))))

end221.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 328 to 207 computations (36.9% 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%)

sample4.8s (69.6%)

preprocess20.0ms (0.3%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series8.0ms (0.1%)

rewrite59.0ms (0.9%)

simplify33.0ms (0.5%)

prune145.0ms (2.1%)

localize13.0ms (0.2%)

series13.0ms (0.2%)

rewrite64.0ms (0.9%)

simplify47.0ms (0.7%)

prune153.0ms (2.2%)

localize10.0ms (0.1%)

series8.0ms (0.1%)

rewrite57.0ms (0.8%)

simplify50.0ms (0.7%)

prune212.0ms (3.1%)

localize16.0ms (0.2%)

series12.0ms (0.2%)

rewrite56.0ms (0.8%)

simplify50.0ms (0.7%)

prune247.0ms (3.6%)

regimes575.0ms (8.4%)

simplify2.0ms (0%)

end221.0ms (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