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 (32.7%)

Results

2.1s	3684×	body	1024	valid
1.5s	1272×	body	2048	valid
677.0ms	1380×	body	512	valid
395.0ms	1916×	body	256	valid
7.0ms	4×	body	4096	valid

preprocess22.0ms (0.2%)

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	199	22
8	284	22
9	355	22
10	407	22
11	411	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 11 to 8 computations (27.3% saved)

simplify13.0ms (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	123	11
8	167	11
9	203	11
10	229	11
11	231	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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

37.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`unpow-prod-down_binary64`
464×	`fma-def_binary64`
445×	`log-prod_binary64`
279×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	173	20
2	2745	20

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

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

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

510×	`neg-sub0_binary64`
466×	`neg-mul-1_binary64`
405×	`fma-def_binary64`
403×	`distribute-rgt-neg-in_binary64`
331×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	626
1	232	621
2	569	605
3	2129	604
4	5935	604

Stop Event

1×	node limit

Counts

251 → 240

Calls

Call 1

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

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

eval62.0ms (0.4%)

Compiler: Compiled 4104 to 1324 computations (67.7% saved)

prune97.0ms (0.7%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	200	40	240
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	41	241

Error

0.2b

Counts

241 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	38.2b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	29.1b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	21.3b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	44.1b	(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)))
	20.7b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	45.9b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	50.8b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	39.9b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	33.1b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
	31.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	39.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	38.3b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	37.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.8b	(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
	20.7b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	33.4b	(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 eps (.f64 (pow.f64 eps 3) 1/6))))
	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	20.7b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	33.0b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
▶	45.8b	(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	37.7b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	40.9b	(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)))
	37.8b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	38.0b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	52.9b	(-.f64 (exp.f64 (log.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶	20.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	32.7b	(*.f64 (cos.f64 x) eps)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	38.1b	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	21.2b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	37.7b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶	38.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
	45.8b	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
	51.5b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	21.2b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))

Compiler

Compiled 1131 to 754 computations (33.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	2.7b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series13.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (cos.f64 x) (sin.f64 eps))
2.0ms	x	@	inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms	eps	@	inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms	eps	@	-inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms	x	@	-inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
515×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
289×	`pow2_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	207	45
2	2733	25

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

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

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

589×	`sub-neg_binary64`
538×	`fma-def_binary64`
441×	`*-commutative_binary64`
384×	`+-commutative_binary64`
346×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	89	1080
1	261	1063
2	710	977
3	2290	973
4	3991	973
5	5252	972
6	7312	972

Stop Event

1×	node limit

Counts

208 → 196

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series5.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(*.f64 (cos.f64 x) eps)
1.0ms	eps	@	inf	(*.f64 (cos.f64 x) eps)
1.0ms	x	@	0	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	inf	(*.f64 (cos.f64 x) eps)

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) eps)

Outputs

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

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

515×	`distribute-lft-out_binary64`
503×	`sqr-pow_binary64`
492×	`distribute-rgt-out_binary64`
432×	`*-commutative_binary64`
398×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	58	92
2	145	88
3	447	82
4	1978	81
5	3993	81
6	4249	81
7	4563	81
8	5086	81
9	5841	81
10	6581	81
11	7536	81
12	7985	81

Stop Event

1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	1.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.1b	(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	2.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
482×	`fma-def_binary64`
309×	`pow-prod-down_binary64`
285×	`pow2_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	24
2	2944	24

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

685×	`distribute-rgt-neg-out_binary64`
595×	`fma-def_binary64`
572×	`distribute-lft-neg-out_binary64`
495×	`associate-r_binary64`
463×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	836
1	296	820
2	885	789
3	4676	789

Stop Event

1×	node limit

Counts

234 → 221

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sin.f64 x) 2)
✓	0.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
	2.5b	(sin.f64 (+.f64 x eps))
✓	13.5b	(sqrt.f64 (pow.f64 (sin.f64 x) 2))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(pow.f64 (sin.f64 x) 2)
0.0ms	x	@	0	(pow.f64 (sin.f64 x) 2)
0.0ms	x	@	inf	(pow.f64 (sin.f64 x) 2)
0.0ms	x	@	0	(sqrt.f64 (pow.f64 (sin.f64 x) 2))
0.0ms	x	@	inf	(sqrt.f64 (pow.f64 (sin.f64 x) 2))

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
433×	`fma-def_binary64`
311×	`pow-prod-down_binary64`
281×	`pow2_binary64`
198×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	229	20
2	2955	20

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

Outputs

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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 (+.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 (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 (-.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 (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 x) (sin.f64 (+.f64 x eps))) (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 x) (sin.f64 (+.f64 x eps))) (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 x) (sin.f64 (+.f64 x eps))) (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 x) (sin.f64 (+.f64 x eps)))) (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 x) (sin.f64 (+.f64 x eps)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (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 (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 (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 (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 +.f64 0 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 3/2) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

612×	`neg-sub0_binary64`
570×	`neg-mul-1_binary64`
419×	`distribute-rgt-neg-out_binary64`
385×	`*-commutative_binary64`
350×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	476
1	228	474
2	558	467
3	2219	466
4	6774	466

Stop Event

1×	node limit

Counts

206 → 200

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (.f64 x x) (.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (.f64 -1/2 (.f64 x x)) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (.f64 x (.f64 x -1/2)) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 (sin.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (.f64 -1/2 (.f64 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 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (*.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 eps (.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 -1/315 (pow.f64 x 8) (*.f64 x x))))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (cos.f64 eps))
	0.2b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	2.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite245.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`fma-def_binary64`
632×	`log-prod_binary64`
381×	`fma-neg_binary64`
236×	`pow1/3_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	246	25
2	3683	25

Stop Event

1×	node limit

Counts

3 → 249

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

588×	`sub-neg_binary64`
513×	`distribute-neg-in_binary64`
495×	`fma-def_binary64`
396×	`*-commutative_binary64`
384×	`+-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	83	1214
1	241	1202
2	653	1133
3	2116	1121
4	3699	1121
5	4848	1119
6	6902	1119

Stop Event

1×	node limit

Counts

321 → 295

Calls

Call 1

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

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

eval512.0ms (3.5%)

Compiler: Compiled 23877 to 7394 computations (69% saved)

prune692.0ms (4.7%)

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	1240	61	1301
Fresh	29	6	35
Picked	1	0	1
Done	2	3	5
Total	1272	70	1342

Error

0.0b

Counts

1342 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	45.2b	(log.f64 (exp.f64 (sin.f64 eps)))
▶	21.3b	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	1.5b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	37.8b	(.f64 1/3 (.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	20.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	38.9b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	31.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	62.0b	(log.f64 (exp.f64 (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))))
	28.8b	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
▶	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	30.2b	(sin.f64 eps)
	21.2b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	21.2b	(-.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) 3) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	21.1b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	28.9b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (sin.f64 eps)))))) (sin.f64 x))
	20.7b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
	17.1b	(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	39.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (*.f64 x x)))
	39.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	20.8b	(-.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	37.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	37.9b	(.f64 3 (.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	46.3b	eps
	33.4b	(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/2)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	28.4b	(-.f64 (fma.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	60.7b	(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	38.0b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	13.6b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
▶	61.3b	(log.f64 1)
	40.8b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	21.3b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	29.0b	(log.f64 (.f64 (pow.f64 (exp.f64 1) (.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (exp.f64 1) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
	45.4b	(fma.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	53.3b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	45.9b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	20.8b	(-.f64 (+.f64 (log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	37.8b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	20.8b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
	49.1b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
✓	20.7b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	50.8b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	1.5b	(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	33.3b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	36.0b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	51.5b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
▶	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	0.5b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	33.0b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
	38.3b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
✓	32.7b	(*.f64 (cos.f64 x) eps)
	38.1b	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	60.9b	(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	25.0b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))
	45.0b	(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
	61.0b	(-.f64 (sin.f64 x) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
	37.7b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	34.0b	(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	28.8b	(log.f64 (exp.f64 (-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
	21.2b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	38.2b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	37.7b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	38.9b	(fma.f64 (.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	38.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))

Compiler

Compiled 2093 to 1351 computations (35.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 16 computations (55.6% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
405×	`exp-prod_binary64`
324×	`pow-prod-down_binary64`
323×	`prod-diff_binary64`
298×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	221	36
2	2725	36

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

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

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

simplify203.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

579×	`fma-neg_binary64`
487×	`*-commutative_binary64`
486×	`fma-def_binary64`
453×	`associate-+l+_binary64`
384×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1018
1	227	995
2	649	949
3	2331	936
4	5452	936
5	7514	936

Stop Event

1×	node limit

Counts

178 → 162

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.6b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
	2.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`prod-diff_binary64`
561×	`unpow-prod-down_binary64`
414×	`log-prod_binary64`
367×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	185	11
2	2796	11

Stop Event

1×	node limit

Counts

1 → 117

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-neg_binary64`
574×	`cancel-sign-sub-inv_binary64`
338×	`neg-sub0_binary64`
314×	`neg-mul-1_binary64`
278×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	400
1	159	398
2	408	391
3	1526	390
4	4070	385

Stop Event

1×	node limit

Counts

141 → 134

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	0.4b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	1.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series25.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms	x	@	inf	(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms	eps	@	0	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
495×	`fma-def_binary64`
338×	`pow-prod-down_binary64`
305×	`pow2_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	239	24
2	3212	24

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.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)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (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 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (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 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 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(sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(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 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 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((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (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 pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
603×	`distribute-rgt-in_binary64`
601×	`distribute-lft-in_binary64`
443×	`*-commutative_binary64`
265×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1894
1	418	1799
2	1542	1677
3	7056	1677

Stop Event

1×	node limit

Counts

197 → 181

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 (pow.f64 (.f64 1 (sin.f64 eps)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (sin.f64 eps)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (.f64 2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 (pow.f64 (.f64 1 (sin.f64 eps)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (sin.f64 x)))
(pow.f64 (sin.f64 eps) 1/3)
(+.f64 (pow.f64 (sin.f64 eps) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (.f64 (-.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (sin.f64 eps))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (sin.f64 eps))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 (pow.f64 (.f64 1 (sin.f64 eps)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (fma.f64 (fma.f64 1/3 (.f64 1 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))) (.f64 x x) (sin.f64 eps)))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (.f64 2/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 2/9)))) (.f64 x x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/3 (fma.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (sin.f64 eps) -1/2)) (fma.f64 2/3 (.f64 (cbrt.f64 (sin.f64 eps)) (.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (sin.f64 eps) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 eps))))) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (.f64 (cbrt.f64 (sin.f64 eps)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 2/9))))) (.f64 x x) (fma.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (sin.f64 eps)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (.f64 2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 (pow.f64 (.f64 1 (sin.f64 eps)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (fma.f64 (fma.f64 2/9 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (+.f64 (.f64 1/3 (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (.f64 2/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (.f64 2/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))) (.f64 2/9 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 2/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (.f64 1 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (fma.f64 (fma.f64 2/9 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (fma.f64 1/3 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 2/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/27)))) (fma.f64 1/3 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (.f64 2/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 2/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/27)))) (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18))) 2/9))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (.f64 2/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 2/9)))) (*.f64 x x) (sin.f64 eps))))
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(fma.f64 1/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (+.f64 (cbrt.f64 (sin.f64 eps)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (*.f64 (+.f64 (cos.f64 eps) -1) x)))))
(fma.f64 1/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) x))) (cbrt.f64 (sin.f64 eps))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (fma.f64 (cos.f64 eps) x (neg.f64 x))) (fma.f64 (.f64 1/3 (fma.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (sin.f64 eps) -1/2))) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (sin.f64 eps))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (.f64 (-.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))))
(fma.f64 1/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (.f64 (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (.f64 2/3 (.f64 (-.f64 (.f64 (sin.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))))))) (pow.f64 x 3))) (+.f64 (cbrt.f64 (sin.f64 eps)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (.f64 (+.f64 (cos.f64 eps) -1) x))))))
(fma.f64 1/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (.f64 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 2/3 (.f64 (fma.f64 (sin.f64 eps) -1/2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/27)))) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) x))) (cbrt.f64 (sin.f64 eps)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (+.f64 (.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (sin.f64 eps) -1/2)) (.f64 x x)) (.f64 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (.f64 (sin.f64 eps) -1/2)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (.f64 1/27 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (pow.f64 x 3)))) (fma.f64 1/3 (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (fma.f64 (cos.f64 eps) x (neg.f64 x))) (cbrt.f64 (sin.f64 eps))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	0.2b	(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	2.9b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1)
✓	6.3b	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 78 to 20 computations (74.4% saved)

series136.0ms (0.9%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	eps	@	-inf	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
43.0ms	x	@	inf	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
22.0ms	eps	@	inf	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
17.0ms	x	@	-inf	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
2.0ms	x	@	0	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) 1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log-prod_binary64`
532×	`fma-neg_binary64`
280×	`log1p-udef_binary64`
279×	`expm1-udef_binary64`
228×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	329	29
2	4529	29

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs

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

(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1)

(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))

Outputs

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-+l+_binary64`
724×	`associate-+r+_binary64`
431×	`distribute-rgt-in_binary64`
428×	`distribute-lft-in_binary64`
395×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1832
1	531	1733
2	2072	1557

Stop Event

1×	node limit

Counts

249 → 224

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 -1/2 (sin.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 -1/2 (sin.f64 eps)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (+.f64 1/6 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 3)) (.f64 1/6 (+.f64 (.f64 -1 (cos.f64 eps)) (.f64 2 (pow.f64 (cos.f64 eps) 3))))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (.f64 (cos.f64 eps) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 3)) (.f64 1/6 (+.f64 (.f64 2 (pow.f64 (cos.f64 eps) 3)) (.f64 -1 (cos.f64 eps)))))))))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 3)) (.f64 1/6 (+.f64 (.f64 2 (pow.f64 (cos.f64 eps) 3)) (.f64 -1 (cos.f64 eps))))))) (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 eps) (+.f64 (.f64 2 (pow.f64 (cos.f64 eps) 3)) (.f64 -1 (cos.f64 eps))))) (+.f64 (.f64 1/24 (+.f64 (.f64 -6 (pow.f64 (cos.f64 eps) 4)) (.f64 4 (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 -1/4 (pow.f64 (cos.f64 eps) 4)) (+.f64 (.f64 1/8 (pow.f64 (cos.f64 eps) 4)) (*.f64 1/24 (pow.f64 (cos.f64 eps) 4)))))) (pow.f64 x 4)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 6) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 1/720 (+.f64 (.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (.f64 -1/48 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (+.f64 1 (sin.f64 x)))))))) (+.f64 (.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (*.f64 (cos.f64 eps) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (.f64 (cos.f64 eps) x) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (cos.f64 eps))) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 eps) 3)) (.f64 -1 (cos.f64 eps))) (pow.f64 x 3))) (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 -6 (pow.f64 (cos.f64 eps) 4)) (*.f64 4 (pow.f64 (cos.f64 eps) 2))))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (sin.f64 x)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (log.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (*.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (.f64 1/720 (.f64 (pow.f64 eps 6) (+.f64 (.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))

Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 -1/2 (sin.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) 0) (.f64 (sin.f64 eps) -1/2)) (*.f64 x x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (.f64 (sin.f64 eps) -1/2) 0) (.f64 x x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (.f64 (sin.f64 eps) -1/2) (.f64 x x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 2)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 -1/2 (sin.f64 eps)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (+.f64 1/6 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 eps) 3)) (.f64 1/6 (+.f64 (.f64 -1 (cos.f64 eps)) (.f64 2 (pow.f64 (cos.f64 eps) 3))))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(fma.f64 (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) 0) (.f64 (sin.f64 eps) -1/2)) (.f64 x x) (fma.f64 (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (+.f64 1/6 (fma.f64 -1/2 (pow.f64 (cos.f64 eps) 3) (.f64 1/6 (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps))))))) (pow.f64 x 3) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))))
(fma.f64 (+.f64 (.f64 (sin.f64 eps) -1/2) 0) (.f64 x x) (fma.f64 (+.f64 1/6 (+.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) (.f64 (pow.f64 (cos.f64 eps) 3) 1/3)) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/3))) (pow.f64 x 3) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))))
(fma.f64 (.f64 (sin.f64 eps) -1/2) (.f64 x x) (fma.f64 (+.f64 (.f64 (pow.f64 (cos.f64 eps) 3) 0) (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6)) (pow.f64 x 3) (fma.f64 (+.f64 (cos.f64 eps) -1) 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 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (.f64 (sin.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 4) (fma.f64 1/24 (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 1/8))) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 (+.f64 1 (sin.f64 x)) (.f64 (pow.f64 eps 4) (fma.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 1/8))) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (.f64 (+.f64 1 (sin.f64 x)) (pow.f64 eps 4)) (+.f64 (.f64 1/24 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 0)) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 eps) x)
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(fma.f64 (cos.f64 eps) x (.f64 (.f64 x x) (*.f64 (pow.f64 (cos.f64 eps) 2) 0)))
(fma.f64 (cos.f64 eps) x (.f64 x (.f64 x 0)))
(fma.f64 (cos.f64 eps) x 0)
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(fma.f64 (cos.f64 eps) x (fma.f64 (.f64 (pow.f64 (cos.f64 eps) 2) 0) (.f64 x x) (.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (fma.f64 -1/2 (pow.f64 (cos.f64 eps) 3) (.f64 1/6 (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))))))))
(fma.f64 (cos.f64 eps) x (fma.f64 (pow.f64 x 3) (+.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) (.f64 (pow.f64 (cos.f64 eps) 3) 1/3)) (.f64 (pow.f64 (cos.f64 eps) 3) -1/3)) (.f64 x (*.f64 x 0))))
(fma.f64 (cos.f64 eps) x (fma.f64 (pow.f64 x 3) (+.f64 (.f64 (cos.f64 eps) -1/6) (.f64 (pow.f64 (cos.f64 eps) 3) 0)) 0))
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(fma.f64 (cos.f64 eps) x (fma.f64 (.f64 (pow.f64 (cos.f64 eps) 2) 0) (.f64 x x) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (fma.f64 -1/2 (pow.f64 (cos.f64 eps) 3) (.f64 1/6 (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))))) (.f64 (fma.f64 1/6 (.f64 (cos.f64 eps) (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))) (fma.f64 1/24 (fma.f64 -6 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) 4)) (fma.f64 -1/4 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 4) 1/6)))) (pow.f64 x 4)))))
(fma.f64 (cos.f64 eps) x (fma.f64 (.f64 x x) 0 (fma.f64 (pow.f64 x 3) (+.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) (.f64 (pow.f64 (cos.f64 eps) 3) 1/3)) (.f64 (pow.f64 (cos.f64 eps) 3) -1/3)) (.f64 (fma.f64 1/6 (+.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) (.f64 2 (pow.f64 (cos.f64 eps) 4))) (fma.f64 1/24 (fma.f64 (pow.f64 (cos.f64 eps) 2) 4 (.f64 -6 (pow.f64 (cos.f64 eps) 4))) (.f64 (pow.f64 (cos.f64 eps) 4) -1/12))) (pow.f64 x 4)))))
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(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
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(+.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 (+.f64 (.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))
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(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (*.f64 (cos.f64 eps) x))
(fma.f64 -1/2 (.f64 (pow.f64 (cos.f64 eps) 2) (.f64 x x)) (*.f64 (cos.f64 eps) x))
(fma.f64 -1/2 (.f64 (.f64 (pow.f64 (cos.f64 eps) 2) x) x) (*.f64 (cos.f64 eps) x))
(.f64 x (+.f64 (cos.f64 eps) (.f64 x (*.f64 -1/2 (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (.f64 (cos.f64 eps) x) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (cos.f64 eps))) (pow.f64 x 3)))))
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(fma.f64 -1/2 (.f64 (.f64 (pow.f64 (cos.f64 eps) 2) x) x) (fma.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) (.f64 (pow.f64 (cos.f64 eps) 3) 1/3)) (pow.f64 x 3) (*.f64 (cos.f64 eps) x)))
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(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (.f64 1/720 (.f64 (pow.f64 eps 6) (+.f64 (.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (.f64 15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 x) (.f64 eps eps)) (+.f64 1 (sin.f64 x))) (log1p.f64 (sin.f64 x))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 eps 6) (fma.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3)) (fma.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 15)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 1 (sin.f64 x))) (log1p.f64 (sin.f64 x))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3)) -30 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 15) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (.f64 (pow.f64 eps 6) 1/720))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 1 (sin.f64 x))) (log1p.f64 (sin.f64 x))) (fma.f64 1/720 (.f64 (pow.f64 eps 6) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) 3) -30 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 15) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))))) (*.f64 (pow.f64 eps 4) (fma.f64 1/24 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))

eval865.0ms (5.9%)

Compiler: Compiled 23412 to 9109 computations (61.1% saved)

prune269.0ms (1.8%)

Pruning

66 alts after pruning (62 fresh and 4 done)

	Pruned	Kept	Total
New	1041	30	1071
Fresh	30	32	62
Picked	1	0	1
Done	3	4	7
Total	1075	66	1141

Error

0.0b

Counts

1141 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
	45.2b	(log.f64 (exp.f64 (sin.f64 eps)))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (sin.f64 x)))))
	29.0b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
	33.3b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	28.8b	(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	37.8b	(.f64 1/3 (.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	20.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	61.0b	(-.f64 (sin.f64 x) (fabs.f64 (sin.f64 x)))
	52.1b	(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
	0.6b	(fma.f64 (sin.f64 eps) (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
	21.2b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
✓	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	37.8b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
	17.1b	(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	31.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	39.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	37.9b	(.f64 3 (.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.9b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
	21.3b	(-.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) -1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) x)
▶	29.0b	(fma.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1 (neg.f64 (+.f64 (-.f64 1 (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
	39.4b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 x))
▶	30.2b	(sin.f64 eps)
	46.3b	eps
	37.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	60.7b	(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
	33.4b	(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	25.0b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
▶	53.3b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
▶	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	45.9b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	20.8b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
	49.1b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	50.8b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
▶	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.0b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	38.1b	(-.f64 (sin.f64 eps) (fabs.f64 (sin.f64 x)))
	1.5b	(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
✓	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	0.5b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	33.0b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
	51.5b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	31.0b	(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
✓	32.7b	(*.f64 (cos.f64 x) eps)
	19.1b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
	20.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
	38.3b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	38.1b	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	60.9b	(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	38.0b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	45.0b	(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
	37.7b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	0.5b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) -1)))
	0.5b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	34.0b	(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	38.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))
✓	61.3b	(log.f64 1)

Compiler

Compiled 1828 to 1238 computations (32.3% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
✓	0.2b	(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x))
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	0.5b	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 60 to 30 computations (50% saved)

series12.0ms (0.1%)

Counts

4 → 64

Calls

18 calls:

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

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`log-prod_binary64`
450×	`prod-diff_binary64`
373×	`pow2_binary64`
261×	`pow1/3_binary64`
256×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	294	42
2	3723	42

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

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

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
416×	`associate-r_binary64`
416×	`distribute-rgt-out_binary64`
397×	`associate-l_binary64`
331×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1623
1	404	1569
2	1146	1497
3	4797	1440

Stop Event

1×	node limit

Counts

210 → 199

Calls

Call 1

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

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (fma.f64 1/720 (pow.f64 eps 6) -2)))
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 1/720 (pow.f64 eps 6) (fma.f64 -1/24 (pow.f64 eps 4) -2)))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(neg.f64 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/3))
(fma.f64 eps eps (*.f64 (pow.f64 eps 4) -1/3))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 6) 2/45 (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 -1/315 (pow.f64 eps 8)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (neg.f64 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24))))
(-.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x))))
(.f64 (sin.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 -1/24 (pow.f64 eps 4))))
(.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (.f64 (.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (neg.f64 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24)))))
(-.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (.f64 -1/24 (sin.f64 x)))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 17/1440) (.f64 (sin.f64 x) 1/96))))
(-.f64 (.f64 (sin.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (pow.f64 eps 6) (.f64 (sin.f64 x) 1/720)))
(fma.f64 (pow.f64 eps 6) (.f64 (sin.f64 x) -1/720) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (sin.f64 x)) (+.f64 (.f64 1/48 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 1/96 (sin.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))))) (.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (.f64 (.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (.f64 (pow.f64 eps 8) (-.f64 (.f64 (sin.f64 x) -1/630) (fma.f64 1/48 (.f64 (sin.f64 x) -1/24) (fma.f64 -1/4 (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (.f64 (.f64 (sin.f64 x) -1/24) -1/4))) (.f64 (sin.f64 x) -1/2880))))) (fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (neg.f64 (.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24))))))
(-.f64 (-.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (.f64 -1/24 (sin.f64 x)))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 (sin.f64 x) -1/630) (+.f64 (.f64 (sin.f64 x) -1/1152) (fma.f64 -1/4 (-.f64 (.f64 (sin.f64 x) 17/1440) (.f64 (sin.f64 x) 1/96)) (.f64 (sin.f64 x) -1/2880)))))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 17/1440) (.f64 (sin.f64 x) 1/96))))
(-.f64 (.f64 (sin.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 -1/24 (pow.f64 eps 4)))) (fma.f64 (pow.f64 eps 6) (.f64 (sin.f64 x) 1/720) (.f64 (pow.f64 eps 8) (-.f64 (.f64 (sin.f64 x) -1/630) (fma.f64 -1/4 (.f64 (sin.f64 x) 1/720) (*.f64 (sin.f64 x) -7/5760))))))
(fma.f64 (pow.f64 eps 8) (+.f64 (fma.f64 -1/4 (.f64 (sin.f64 x) 1/720) (.f64 (sin.f64 x) -1/2880)) (.f64 (sin.f64 x) 29/40320)) (fma.f64 (pow.f64 eps 6) (.f64 (sin.f64 x) -1/720) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) x)))
(/.f64 (neg.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 x))
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(-.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) x))
(-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (*.f64 (/.f64 x (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(-.f64 (.f64 (/.f64 1/6 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3))) (*.f64 (/.f64 x (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) x)) (*.f64 -1/120 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 3)) (-.f64 (.f64 -1/120 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) x)))
(-.f64 (fma.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (.f64 -1/120 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 5))))) (*.f64 (/.f64 x (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(-.f64 (fma.f64 -1/120 (.f64 (/.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)) (.f64 (/.f64 1/6 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)))) (.f64 (/.f64 x (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 (cos.f64 eps) 1))))))
(fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (fma.f64 1/5040 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) x)) (*.f64 -1/120 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 3)) (fma.f64 1/5040 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 7)) (-.f64 (.f64 -1/120 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) x))))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (-.f64 (fma.f64 -1/120 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 5))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 7)) 1/5040))) (.f64 (/.f64 x (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (fma.f64 -1/120 (.f64 (/.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)) (-.f64 (.f64 (/.f64 1/5040 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7))) (*.f64 (/.f64 x (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
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(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
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(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
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(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
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(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
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(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
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(sin.f64 eps)
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(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))

localize4.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 (cos.f64 x) eps) 2)
	0.1b	(*.f64 (cos.f64 x) eps)
✓	28.2b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
556×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	164	15
2	1648	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (*.f64 (cos.f64 x) eps) 2)

Outputs

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

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-neg_binary64`
796×	`unswap-sqr_binary64`
365×	`*-commutative_binary64`
340×	`distribute-rgt-out_binary64`
327×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	534
1	130	527
2	371	511
3	1640	506
4	4292	499

Stop Event

1×	node limit

Counts

101 → 73

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(.f64 -1 (.f64 eps (cos.f64 x)))
(.f64 -1 (.f64 eps (cos.f64 x)))
(.f64 -1 (.f64 eps (cos.f64 x)))
(.f64 -1 (.f64 eps (cos.f64 x)))
(pow.f64 eps 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (+.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 2)) (.f64 -1/360 (pow.f64 eps 2))) (pow.f64 x 6)))))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))

Outputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 -1/2 (.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (.f64 eps (.f64 x x)) eps)
(fma.f64 eps (.f64 -1/2 (.f64 x x)) eps)
(fma.f64 (.f64 -1/2 (.f64 eps x)) x eps)
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (.f64 eps (pow.f64 x 4)) (.f64 -1/2 (.f64 eps (.f64 x x)))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 (pow.f64 x 4) (.f64 eps 1/24)))
(fma.f64 eps (.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (.f64 -1/2 (*.f64 x x)) eps))
(fma.f64 (pow.f64 x 4) (.f64 eps 1/24) (fma.f64 (.f64 -1/2 (*.f64 eps x)) x eps))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 1/24 (.f64 eps (pow.f64 x 4)) (.f64 -1/2 (.f64 eps (*.f64 x x))))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 (pow.f64 x 4) (.f64 eps 1/24))) (fma.f64 (*.f64 eps -1/720) (pow.f64 x 6) eps))
(fma.f64 eps (.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (.f64 -1/2 (.f64 x x)) eps)))
(fma.f64 eps (.f64 -1/720 (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) (.f64 eps 1/24) (fma.f64 (.f64 -1/2 (.f64 eps x)) x eps)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (.f64 x x))) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 -1 (.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(.f64 -1 (.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(.f64 -1 (.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(.f64 -1 (.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (pow.f64 eps 2))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 eps eps))
(-.f64 (.f64 eps eps) (.f64 x (.f64 x (.f64 eps eps))))
(.f64 eps (-.f64 eps (.f64 eps (*.f64 x x))))
(neg.f64 (.f64 (.f64 eps eps) (fma.f64 x x -1)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (pow.f64 eps 2)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 (.f64 (.f64 eps eps) 1/3) (pow.f64 x 4) (.f64 eps eps)))
(-.f64 (fma.f64 (pow.f64 x 4) (.f64 eps (.f64 eps 1/3)) (.f64 eps eps)) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 eps eps (.f64 (.f64 eps eps) (+.f64 (.f64 x (neg.f64 x)) (.f64 (pow.f64 x 4) 1/3))))
(fma.f64 eps eps (.f64 (.f64 eps eps) (-.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 x x))))
(.f64 eps (-.f64 eps (.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (+.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 2)) (.f64 -1/360 (pow.f64 eps 2))) (pow.f64 x 6)))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (fma.f64 (.f64 (.f64 eps eps) 1/3) (pow.f64 x 4) (.f64 eps eps)) (.f64 (pow.f64 x 6) (.f64 (*.f64 eps eps) -2/45))))
(-.f64 (fma.f64 (pow.f64 x 4) (.f64 eps (.f64 eps 1/3)) (fma.f64 eps eps (.f64 (pow.f64 x 6) (.f64 (.f64 eps eps) -2/45)))) (.f64 x (.f64 x (.f64 eps eps))))
(+.f64 (.f64 eps (-.f64 eps (.f64 eps (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (.f64 (pow.f64 x 6) -2/45) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -2/45) (.f64 (pow.f64 x 4) 1/3)) (.f64 x x))))
(fma.f64 eps eps (.f64 (.f64 eps eps) (-.f64 (.f64 (pow.f64 x 4) 1/3) (fma.f64 x x (.f64 (pow.f64 x 6) 2/45)))))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 x) 3)
✓	1.6b	(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	2.5b	(sin.f64 (+.f64 x eps))
✓	19.7b	(cbrt.f64 (pow.f64 (sin.f64 x) 3))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (sin.f64 x) 3)
1.0ms	x	@	inf	(pow.f64 (sin.f64 x) 3)
0.0ms	x	@	0	(pow.f64 (sin.f64 x) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (sin.f64 x) 3))
0.0ms	x	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
445×	`fma-def_binary64`
325×	`pow-prod-down_binary64`
283×	`pow2_binary64`
196×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	231	20
2	2961	20

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(pow.f64 (sin.f64 x) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))))

((#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (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 (-.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 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 (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 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.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) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.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)) 2) 1/2)))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (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)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 5/2) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 3)))))))

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-neg_binary64`
460×	`neg-sub0_binary64`
422×	`neg-mul-1_binary64`
356×	`fma-def_binary64`
319×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	476
1	220	474
2	537	467
3	2037	466
4	5604	460

Stop Event

1×	node limit

Counts

206 → 199

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (.f64 13/120 (pow.f64 x 7)) (+.f64 (.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (.f64 13/120 (pow.f64 x 7)) (+.f64 (.f64 -41/3024 (pow.f64 x 9)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (.f64 -1/2 (.f64 x x)) (sin.f64 eps)))
(fma.f64 x (+.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (.f64 x -1/2))) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (.f64 -1/2 (.f64 x x)) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (.f64 x x) (+.f64 (.f64 x (fma.f64 -1/6 (cos.f64 eps) 1/6)) (*.f64 (sin.f64 eps) -1/2)) (sin.f64 eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 eps (*.f64 (sin.f64 x) -1/2)) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (.f64 (sin.f64 x) (.f64 eps -1/2)) eps))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))
(fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3))
(fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3))
(+.f64 (.f64 13/120 (pow.f64 x 7)) (+.f64 (.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 13/120 (pow.f64 x 7) (fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 7) 13/120 (fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) -1/2 (fma.f64 (pow.f64 x 7) 13/120 (pow.f64 x 3)))
(+.f64 (.f64 13/120 (pow.f64 x 7)) (+.f64 (.f64 -41/3024 (pow.f64 x 9)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 13/120 (pow.f64 x 7) (fma.f64 -41/3024 (pow.f64 x 9) (fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 7) 13/120 (fma.f64 -41/3024 (pow.f64 x 9) (fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 7) 13/120 (fma.f64 (pow.f64 x 5) -1/2 (fma.f64 -41/3024 (pow.f64 x 9) (pow.f64 x 3))))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	0.3b	(-.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.4b	(+.f64 (-.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	3.3b	(fma.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1 (neg.f64 (+.f64 (-.f64 1 (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))

Compiler

Compiled 78 to 28 computations (64.1% saved)

series163.0ms (1.1%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
154.0ms	x	@	0	(+.f64 (-.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms	x	@	-inf	(fma.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1 (neg.f64 (+.f64 (-.f64 1 (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
1.0ms	x	@	inf	(fma.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1 (neg.f64 (+.f64 (-.f64 1 (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1 (neg.f64 (+.f64 (-.f64 1 (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
1.0ms	eps	@	-inf	(fma.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1 (neg.f64 (+.f64 (-.f64 1 (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`fma-def_binary64`
403×	`fma-neg_binary64`
294×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
234×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	334	63
2	4835	63

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-def_binary64`
438×	`unswap-sqr_binary64`
412×	`+-commutative_binary64`
347×	`sub-neg_binary64`
329×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1434
1	370	1367
2	1081	1284
3	3831	1235
4	6238	1235

Stop Event

1×	node limit

Counts

316 → 295

Calls

Call 1

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

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

eval667.0ms (4.6%)

Compiler: Compiled 17994 to 8032 computations (55.4% saved)

prune286.0ms (2%)

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	831	19	850
Fresh	21	36	57
Picked	1	0	1
Done	3	5	8
Total	856	60	916

Error

0.0b

Counts

916 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 eps eps)))) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
	38.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))
	33.4b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
	45.2b	(log.f64 (exp.f64 (sin.f64 eps)))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
	29.0b	(+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
	28.8b	(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	37.8b	(.f64 1/3 (.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	20.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	61.0b	(-.f64 (sin.f64 x) (fabs.f64 (sin.f64 x)))
	52.1b	(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
	49.1b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	0.6b	(fma.f64 (sin.f64 eps) (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
✓	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	0.4b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
	21.2b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	33.3b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	32.9b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
	37.8b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	61.9b	(*.f64 eps (neg.f64 (cos.f64 x)))
	39.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	37.9b	(.f64 3 (.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.9b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
	21.3b	(-.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) -1) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))))
✓	30.2b	(sin.f64 eps)
	39.4b	(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 x))
	37.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	60.7b	(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
	33.4b	(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	0.5b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
✓	61.3b	(log.f64 1)
	42.5b	(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
	45.9b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	60.9b	(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
	33.0b	(.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
	31.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	50.0b	(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
	50.8b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	36.0b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	38.1b	(-.f64 (sin.f64 eps) (fabs.f64 (sin.f64 x)))
	20.7b	(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	33.4b	(.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
	0.4b	(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))
	0.5b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	34.1b	(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	31.0b	(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
	38.3b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
✓	32.7b	(*.f64 (cos.f64 x) eps)
	38.1b	(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
	51.5b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	45.0b	(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
	38.0b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	0.5b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
	0.5b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	29.0b	(+.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (+.f64 -1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
	37.7b	(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	46.3b	eps

Compiler

Compiled 760 to 542 computations (28.7% saved)

regimes518.0ms (3.5%)

Counts

151 → 1

Calls

Call 1

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

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

Calls

4 calls:

142.0ms	x
135.0ms	eps
81.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
74.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 1979 to 595 computations (69.9% saved)

regimes395.0ms (2.7%)

Counts

124 → 1

Calls

Call 1

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

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

Calls

4 calls:

107.0ms	eps
97.0ms	x
67.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
62.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 1378 to 477 computations (65.4% saved)

regimes241.0ms (1.7%)

Counts

98 → 1

Calls

Call 1

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

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

Calls

4 calls:

87.0ms	x
55.0ms	eps
40.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 975 to 362 computations (62.9% saved)

regimes207.0ms (1.4%)

Counts

89 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	x
45.0ms	eps
34.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
27.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`eps`
0.5b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
0.5b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 857 to 333 computations (61.1% saved)

regimes552.0ms (3.8%)

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

186.0ms	eps
155.0ms	x
107.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
82.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.0b	3	`x`
15.7b	3	`eps`
16.7b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
16.7b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 753 to 284 computations (62.3% saved)

bsearch120.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	0.0796388076311669	9377.731778247327
61.0ms	-12297687.609885052	-1.2229003836877504e-8

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes213.0ms (1.5%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	eps
66.0ms	x
33.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
33.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.0b	3	`x`
16.1b	3	`eps`
17.0b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
17.0b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 374 to 162 computations (56.7% saved)

bsearch115.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.0796388076311669	9377.731778247327
57.0ms	-12297687.609885052	-1.2229003836877504e-8

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes48.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
17.0ms	eps

Results

Error	Segments	Branch
18.1b	3	`x`
16.7b	3	`eps`

Compiler

Compiled 53 to 24 computations (54.7% saved)

bsearch118.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	0.0796388076311669	9377.731778247327
58.0ms	-12297687.609885052	-1.2229003836877504e-8

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -15.5b remaining (-33.6%)

Threshold costs -15.5b (-33.6%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
eps
(log.f64 1)

Outputs
eps

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
46.3b	1	`x`
46.3b	1	`eps`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
14×	`+-commutative_binary64`
7×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	241
1	85	241
2	96	241
3	102	241
4	105	241

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -52818166100880704/4294967296) (-.f64 (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 1469076702707523072/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -52818166100880704/4294967296) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1469076702707523072/18446744073709551616) (.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -52818166100880704/4294967296) (sin.f64 eps) (if (<=.f64 eps 1469076702707523072/18446744073709551616) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
eps
(log.f64 1)

Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -52818166100880704/4294967296) (-.f64 (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 1469076702707523072/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -825283845326261/67108864) (-.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)) (if (<=.f64 eps 2869290434975631/36028797018963968) (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))))
(if (<=.f64 eps -52818166100880704/4294967296) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1469076702707523072/18446744073709551616) (.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -825283845326261/67108864) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2869290434975631/36028797018963968) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -52818166100880704/4294967296) (sin.f64 eps) (if (<=.f64 eps 1469076702707523072/18446744073709551616) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -825283845326261/67108864) (sin.f64 eps) (if (<=.f64 eps 2869290434975631/36028797018963968) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
eps
(log.f64 1)
0

Compiler

Compiled 172 to 104 computations (39.5% saved)

soundness101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

589×	`sub-neg_binary64`
538×	`fma-def_binary64`
441×	`*-commutative_binary64`
384×	`+-commutative_binary64`
346×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	89	1080
1	261	1063
2	710	977
3	2290	973
4	3991	973
5	5252	972
6	7312	972

Stop Event

1×	node limit

Compiler

Compiled 137 to 91 computations (33.6% saved)

end72.0ms (0.5%)

Compiler: Compiled 156 to 67 computations (57.1% 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	199	22
8	284	22
9	355	22
10	407	22
11	411	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	123	11
8	167	11
9	203	11
10	229	11
11	231	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	199	22
8	284	22
9	355	22
10	407	22
11	411	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	123	11
8	167	11
9	203	11
10	229	11
11	231	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	199	22
8	284	22
9	355	22
10	407	22
11	411	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	123	11
8	167	11
9	203	11
10	229	11
11	231	11