Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.8s (32.9%)

Results

2.4s	3655×	body	1024	valid
1.3s	1249×	body	2048	valid
573.0ms	1958×	body	256	valid
526.0ms	1394×	body	512	valid

Bogosity

preprocess45.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	17	22
2	25	22
3	38	22
4	53	22
5	81	22
6	141	22
7	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)

simplify20.0ms (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))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite134.0ms (0.9%)

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	17
1	173	17
2	2745	17

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 1) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (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 log1p.f64 (expm1.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 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 (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 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)))))))

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-neg_binary64`
469×	`neg-sub0_binary64`
426×	`neg-mul-1_binary64`
346×	`distribute-rgt-neg-in_binary64`
302×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	580
1	191	575
2	466	561
3	1747	560
4	5053	547

Stop Event

1×	node limit

Counts

219 → 205

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))

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

eval85.0ms (0.6%)

Compiler: Compiled 3642 to 1131 computations (68.9% saved)

prune114.0ms (0.8%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	174	31	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	32	206

Error

0.1b

Counts

206 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	35.5b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	35.3b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	24.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	36.2b	(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (.f64 x (.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
	24.8b	(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)))
	24.8b	(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)))
▶	36.4b	(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
✓	35.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	35.2b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	47.7b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
▶	39.6b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
	36.4b	(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (sin.f64 x))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	33.4b	(-.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))
	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	36.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.3b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	35.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	48.4b	(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)))
	24.2b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	44.2b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	48.1b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	28.4b	(.f64 eps (+.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps (sin.f64 x)))))
	48.3b	(-.f64 (fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	36.2b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
	24.2b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	28.2b	(*.f64 (cos.f64 x) eps)
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
▶	24.2b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	48.2b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
▶	28.5b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	48.8b	(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))

Compiler

Compiled 891 to 594 computations (33.3% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 9 computations (76.3% saved)

series13.0ms (0.1%)

Counts

3 → 40

Calls

18 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`prod-diff_binary64`
519×	`log-prod_binary64`
339×	`pow-prod-down_binary64`
300×	`fma-def_binary64`
289×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	208	42
2	2743	32

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

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

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-def_binary64`
415×	`*-commutative_binary64`
391×	`fma-neg_binary64`
375×	`cancel-sign-sub-inv_binary64`
346×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	819
1	263	798
2	720	710
3	2405	706
4	4761	706
5	7944	706

Stop Event

1×	node limit

Counts

202 → 205

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

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

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	x	@	0	(*.f64 (cos.f64 x) eps)
1.0ms	eps	@	inf	(*.f64 (cos.f64 x) eps)
1.0ms	x	@	inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) eps)

rewrite60.0ms (0.4%)

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

simplify145.0ms (1%)

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))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series9.0ms (0.1%)

Counts

3 → 19

Calls

18 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
376×	`fma-def_binary64`
317×	`pow2_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	255	39
2	3180	39

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))) (/.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)) (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))) (/.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (fma.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))) (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)))) (neg.f64 (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))) (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps) (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) (pow.f64 (exp.f64 (cos.f64 x)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2)) (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) -1/2 (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cos.f64 x)) 1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) 1 (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))) (cbrt.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)) (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))) -1/2) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x)))) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) -1/2) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 eps eps) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))) (cbrt.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 eps (sqrt.f64 (sin.f64 x)))) (*.f64 eps (sqrt.f64 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (sin.f64 x) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 eps eps) -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 eps eps) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6))) 1/3))))))

simplify177.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1240×	`distribute-lft-out_binary64`
614×	`unswap-sqr_binary64`
403×	`*-commutative_binary64`
398×	`distribute-rgt-out_binary64`
369×	`fma-def_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	55	397
1	154	395
2	455	363
3	1726	331
4	3261	331
5	4306	331
6	4480	331
7	4655	330
8	4897	330
9	5116	330
10	7320	330
11	7625	330
12	7983	330

Stop Event

1×	node limit

Counts

133 → 143

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))

Outputs
(*.f64 (pow.f64 eps 2) x)
(.f64 (.f64 eps eps) x)
(.f64 eps (.f64 eps x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (.f64 eps eps) x))
(fma.f64 -1/6 (.f64 eps (.f64 eps (pow.f64 x 3))) (.f64 (.f64 eps eps) x))
(.f64 (.f64 eps eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(.f64 eps (.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 eps eps) x)))
(fma.f64 -1/6 (.f64 eps (.f64 eps (pow.f64 x 3))) (fma.f64 (.f64 eps eps) x (.f64 (pow.f64 x 5) (.f64 (.f64 eps eps) 1/120))))
(fma.f64 (.f64 eps eps) (.f64 1/120 (pow.f64 x 5)) (.f64 (.f64 eps eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (.f64 eps eps) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/5040 (.f64 (.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 eps eps) x))))
(fma.f64 -1/5040 (.f64 (.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (.f64 eps (.f64 eps (pow.f64 x 3))) (fma.f64 (.f64 eps eps) x (.f64 (pow.f64 x 5) (.f64 (.f64 eps eps) 1/120)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 x (.f64 1/120 (pow.f64 x 5)))) (.f64 (.f64 eps eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 x (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(.f64 (.f64 eps eps) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7))))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) eps)
(fma.f64 (.f64 (.f64 eps eps) x) -1/2 eps)
(fma.f64 (.f64 eps eps) (.f64 x -1/2) eps)
(fma.f64 (.f64 eps (.f64 eps x)) -1/2 eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 eps eps) x) eps) (.f64 -1/2 (.f64 eps (*.f64 x x))))
(fma.f64 (.f64 (.f64 eps eps) x) -1/2 (fma.f64 -1/2 (.f64 x (.f64 x eps)) eps))
(fma.f64 eps (.f64 x (.f64 x -1/2)) (fma.f64 (.f64 eps eps) (.f64 x -1/2) eps))
(+.f64 eps (.f64 (.f64 eps (*.f64 x -1/2)) (+.f64 x eps)))
(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 eps eps) x) eps) (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/12)))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 x eps)) eps) (fma.f64 (.f64 (.f64 eps eps) 1/12) (pow.f64 x 3) (.f64 (.f64 eps eps) (*.f64 x -1/2))))
(+.f64 (fma.f64 eps (.f64 x (.f64 x -1/2)) eps) (.f64 (.f64 eps eps) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 (.f64 eps (.f64 x -1/2)) (+.f64 x eps)) (fma.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 1/12) eps))
(+.f64 (.f64 eps (.f64 x (.f64 -1/2 (+.f64 eps x)))) (fma.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 1/12) eps))
(+.f64 eps (.f64 eps (+.f64 (.f64 x (.f64 -1/2 (+.f64 eps x))) (.f64 (pow.f64 x 3) (*.f64 eps 1/12)))))
(.f64 eps (+.f64 1 (+.f64 (.f64 1/12 (.f64 eps (pow.f64 x 3))) (.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(.f64 eps (+.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/12)) (+.f64 1 (.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x)))
(.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x)))
(.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 (.f64 (*.f64 eps eps) x) -1/2)
(.f64 (.f64 eps eps) (*.f64 x -1/2))
(.f64 eps (.f64 eps (*.f64 x -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/12))
(fma.f64 (.f64 (.f64 eps eps) 1/12) (pow.f64 x 3) (.f64 (.f64 eps eps) (*.f64 x -1/2)))
(.f64 (.f64 eps eps) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12)))
(.f64 (.f64 eps eps) (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 x -1/2)))
(.f64 (.f64 eps (.f64 eps x)) (+.f64 -1/2 (.f64 (*.f64 x x) 1/12)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (fma.f64 -1/240 (.f64 (.f64 eps eps) (pow.f64 x 5)) (.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/12)))
(fma.f64 (.f64 (.f64 eps eps) x) -1/2 (fma.f64 (.f64 eps (.f64 eps (pow.f64 x 3))) 1/12 (.f64 (pow.f64 x 5) (.f64 (*.f64 eps eps) -1/240))))
(fma.f64 (.f64 eps eps) (.f64 (pow.f64 x 5) -1/240) (.f64 (.f64 eps eps) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 3) 1/12))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (pow.f64 x 5) -1/240) (+.f64 (.f64 (pow.f64 x 3) 1/12) (*.f64 x -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (fma.f64 -1/240 (.f64 (.f64 eps eps) (pow.f64 x 5)) (fma.f64 1/10080 (.f64 (.f64 eps eps) (pow.f64 x 7)) (.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/12))))
(fma.f64 (.f64 (.f64 eps eps) x) -1/2 (fma.f64 (.f64 eps (.f64 eps (pow.f64 x 5))) -1/240 (fma.f64 (.f64 eps (.f64 eps (pow.f64 x 3))) 1/12 (.f64 (.f64 eps eps) (*.f64 (pow.f64 x 7) 1/10080)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))) (.f64 (.f64 eps eps) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 (pow.f64 x 7) 1/10080))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 (pow.f64 x 7) 1/10080)) (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 x -1/2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (pow.f64 x 7) 1/10080) (+.f64 (.f64 (pow.f64 x 5) -1/240) (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 x -1/2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (pow.f64 x 5) -1/240) (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 (.f64 (pow.f64 x 7) 1/10080) (.f64 x -1/2)))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (sin.f64 (+.f64 x eps)) 3)
✓	1.2b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
	2.8b	(sin.f64 (+.f64 x eps))
✓	7.8b	(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
415×	`fma-def_binary64`
326×	`pow-prod-down_binary64`
283×	`pow2_binary64`
228×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	231	26
2	2957	26

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

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

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

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

725×	`associate-l_binary64`
714×	`associate-r_binary64`
640×	`unsub-neg_binary64`
545×	`fma-neg_binary64`
436×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1216
1	460	1182
2	1410	1106
3	6582	1106

Stop Event

1×	node limit

Counts

262 → 241

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

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

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓	1.0b	(cbrt.f64 2)
✓	2.1b	(+.f64 x (-.f64 eps x))
✓	2.8b	(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

Compiler

Compiled 98 to 44 computations (55.1% saved)

series21.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
2.0ms	x	@	inf	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
2.0ms	x	@	-inf	(+.f64 x (-.f64 eps x))
1.0ms	x	@	0	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0ms	eps	@	0	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`fma-neg_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
251×	`log-pow_binary64`
181×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	343	48
2	5096	48

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

640×	`fma-def_binary64`
581×	`neg-sub0_binary64`
542×	`neg-mul-1_binary64`
363×	`associate-l_binary64`
358×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	993
1	270	919
2	748	767
3	2991	756
4	7093	746

Stop Event

1×	node limit

Counts

198 → 165

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (cos.f64 (.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (.f64 1/2 eps)) (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 x)
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 1/2 (.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x)))) (.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))

Outputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (cos.f64 (.f64 1/2 eps)))
(fma.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x) (cos.f64 (*.f64 1/2 eps)))
(-.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (*.f64 1/2 eps)) x))
(fma.f64 x (sin.f64 (.f64 eps -1/2)) (cos.f64 (.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (cos.f64 (*.f64 1/2 eps))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x x)) (cos.f64 (.f64 1/2 eps))))
(-.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x x)) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) x))
(-.f64 (.f64 (+.f64 (.f64 x (.f64 x -1/2)) 1) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) x))
(-.f64 (.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) x))
(fma.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps)) (.f64 x (sin.f64 (*.f64 eps -1/2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (.f64 1/2 eps)) (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 1/2 eps)) x) (+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x x)) (cos.f64 (.f64 1/2 eps))) (.f64 1/6 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))
(-.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x x)) (fma.f64 1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 (.f64 1/2 eps)) x))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 x -1/2)) 1) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(fma.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (.f64 1/6 (pow.f64 x 3)) x)))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 x)
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 eps (*.f64 -1/2 (sin.f64 x)) (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 x)))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (fma.f64 -1/8 (.f64 (cos.f64 x) (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (fma.f64 -1/8 (.f64 eps (*.f64 eps (cos.f64 x))) (cos.f64 x)))
(fma.f64 eps (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (fma.f64 -1/8 (*.f64 eps eps) 1)))
(fma.f64 (fma.f64 -1/8 (.f64 eps eps) 1) (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (+.f64 (fma.f64 -1/8 (.f64 (cos.f64 x) (.f64 eps eps)) (cos.f64 x)) (.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 -1/2 (.f64 eps (sin.f64 x)) (fma.f64 -1/8 (.f64 eps (.f64 eps (cos.f64 x))) (fma.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x))))
(fma.f64 (fma.f64 -1/8 (.f64 eps eps) 1) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 1/48 (pow.f64 eps 3)) (.f64 eps -1/2))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(cos.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(cos.f64 (fma.f64 1/2 eps x))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (*.f64 1/2 eps)) x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 x (sin.f64 (.f64 eps -1/2)) (cos.f64 (.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x x))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x))))) (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))
(-.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (+.f64 (.f64 x (.f64 x -1/2)) 1) (cos.f64 (.f64 1/2 eps)))) (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))
(.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps)) (.f64 x (sin.f64 (*.f64 eps -1/2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x x))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(-.f64 (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)))))) (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (+.f64 (.f64 x (.f64 x -1/2)) 1) (cos.f64 (.f64 1/2 eps)))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(fma.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (cos.f64 (.f64 1/2 eps))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (-.f64 (.f64 1/6 (pow.f64 x 3)) x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 1/2 (.f64 eps (cos.f64 x)))
(.f64 (.f64 1/2 eps) (cos.f64 x))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 1/2 (.f64 eps (cos.f64 x))))
(fma.f64 1/2 (.f64 eps (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/4)))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) -1/4) (.f64 (.f64 1/2 eps) (cos.f64 x)))
(.f64 eps (+.f64 (.f64 1/2 (cos.f64 x)) (.f64 -1/4 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12))))
(fma.f64 -1/4 (.f64 eps (.f64 eps (sin.f64 x))) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) -1/4) (.f64 (cos.f64 x) (+.f64 (.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) -1/4)) (.f64 (cos.f64 x) (+.f64 1/2 (.f64 (.f64 eps eps) -1/12)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x)))) (.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(fma.f64 -1/4 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (fma.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12) (.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 4))))))
(fma.f64 -1/4 (.f64 eps (.f64 eps (sin.f64 x))) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (fma.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/2 eps) (.f64 (pow.f64 eps 3) -1/12))) (.f64 (sin.f64 x) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/4))))
(+.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 1/2 (.f64 (.f64 eps eps) -1/12)))) (.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (.f64 (*.f64 eps eps) 1/48) -1/4)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))

eval420.0ms (2.9%)

Compiler: Compiled 17718 to 7463 computations (57.9% saved)

prune267.0ms (1.8%)

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	810	47	857
Fresh	20	6	26
Picked	1	0	1
Done	2	3	5
Total	833	56	889

Error

0.1b

Counts

889 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(log.f64 (.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) (exp.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
▶	24.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	48.2b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	28.7b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
	27.3b	(sin.f64 eps)
	47.5b	(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
	28.5b	(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))
	35.5b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	35.3b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	24.2b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	13.0b	(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
	28.5b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 0 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2))))
▶	46.6b	(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 (+.f64 eps x)))))
✓	35.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.8b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
	51.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	50.9b	(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)))
	28.4b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
	47.7b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	24.2b	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	39.3b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	35.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.9b	(fma.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	46.0b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	44.2b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	48.1b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	28.8b	(+.f64 (.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)))))
	44.3b	eps
	29.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	28.3b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (sin.f64 x)))
	32.1b	(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
	25.3b	(fma.f64 (sin.f64 x) (cos.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) 3))
	35.2b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	59.8b	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
▶	57.4b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	33.1b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x)))
	28.8b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
	36.4b	(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (sin.f64 x))
	30.0b	(.f64 (pow.f64 (cbrt.f64 2) 3) (+.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 1/2 (.f64 (.f64 eps eps) -1/12)))) (.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (.f64 (.f64 eps eps) 1/48) -1/4))))
	36.3b	(fma.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
	48.8b	(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
	28.5b	(fma.f64 (.f64 (.f64 eps eps) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
	28.7b	(+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	61.4b	(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
	36.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	43.4b	(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x))))
	28.8b	(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
	33.6b	(fma.f64 (sin.f64 x) (cos.f64 eps) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))))
	36.4b	(fma.f64 (cos.f64 eps) x (-.f64 (.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) x))
	24.2b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
✓	28.2b	(*.f64 (cos.f64 x) eps)
✓	24.2b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	61.2b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 x))

Compiler

Compiled 1603 to 1089 computations (32.1% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
✓	0.1b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
✓	1.6b	(+.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	x	@	-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	eps	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
1.0ms	eps	@	0	(+.f64 (cos.f64 eps) -1)

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

simplify92.0ms (0.6%)

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))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 18 computations (55% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
465×	`fma-def_binary64`
418×	`pow-prod-down_binary64`
276×	`pow2_binary64`
222×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	207	37
2	3105	37

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-neg_binary64`
512×	`associate-l_binary64`
434×	`distribute-rgt-out--_binary64`
379×	`unsub-neg_binary64`
371×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	1126
1	90	985
2	200	815
3	607	815
4	2599	815
5	6584	815

Stop Event

1×	node limit

Counts

205 → 155

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 (cos.f64 x) eps) 3)
	0.1b	(*.f64 (cos.f64 x) eps)
✓	41.0b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series26.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
5.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
4.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
2.0ms	eps	@	-inf	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
2.0ms	eps	@	0	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
681×	`add-log-exp_binary64`
681×	`log1p-expm1-u_binary64`
681×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	198	15
2	1962	15

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 3)

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-r_binary64`
709×	`associate-l_binary64`
632×	`fma-def_binary64`
625×	`times-frac_binary64`
319×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	938
1	294	886
2	1242	719

Stop Event

1×	node limit

Counts

99 → 67

Calls

Call 1

Inputs
eps
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 2))) eps)
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 2))) (+.f64 eps (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 2)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 2))) (+.f64 eps (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 -1/24 (pow.f64 eps 2)) (.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3)))) (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3)))) (pow.f64 eps 3))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 3) (pow.f64 eps 6))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3))))) (pow.f64 eps 3)))))) (pow.f64 x 6)) (pow.f64 eps 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 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 (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 -1 (.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 -1 (.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 -1 (.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(pow.f64 eps 3)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 3))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3)))
(+.f64 (.f64 (+.f64 (.f64 eps (+.f64 (.f64 -1/24 (pow.f64 eps 2)) (.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (.f64 -1/720 (pow.f64 eps 3)) (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))

Outputs
eps
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 2))) eps)
(fma.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x)) (.f64 eps eps)) eps)
(fma.f64 1/3 (.f64 (/.f64 (.f64 (pow.f64 eps 3) -3/2) eps) (/.f64 (*.f64 x x) eps)) eps)
(+.f64 eps (.f64 (/.f64 (.f64 -1/2 (pow.f64 eps 3)) eps) (/.f64 x (/.f64 eps x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 2))) (+.f64 eps (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 2)))))
(+.f64 (fma.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x)) (.f64 eps eps)) eps) (.f64 1/3 (/.f64 (+.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) 1/3) (.f64 (pow.f64 eps 3) 1/2))) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (pow.f64 eps 3) -3/2) 2) (pow.f64 eps 3)))) (/.f64 (*.f64 eps eps) (pow.f64 x 4)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 (pow.f64 eps 3) -3/2) eps) (/.f64 (.f64 x x) eps)) (fma.f64 1/3 (/.f64 (fma.f64 (pow.f64 eps 3) 1/24 (+.f64 (fma.f64 (pow.f64 eps 3) 1/2 (.f64 (pow.f64 eps 3) 1/3)) (.f64 (/.f64 (.f64 (pow.f64 eps 6) 9/4) (pow.f64 eps 3)) -1/3))) (/.f64 eps (/.f64 (pow.f64 x 4) eps))) eps))
(+.f64 eps (.f64 (/.f64 1/3 eps) (+.f64 (/.f64 (pow.f64 eps 3) (/.f64 eps (.f64 -3/2 (.f64 x x)))) (/.f64 (fma.f64 (.f64 9/4 (pow.f64 eps 3)) -1/3 (fma.f64 (pow.f64 eps 3) 1/3 (*.f64 (pow.f64 eps 3) 13/24))) (/.f64 eps (pow.f64 x 4))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 2))) (+.f64 eps (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 -1/24 (pow.f64 eps 2)) (.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3)))) (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3)))) (pow.f64 eps 3))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 3) (pow.f64 eps 6))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3))))) (pow.f64 eps 3)))))) (pow.f64 x 6)) (pow.f64 eps 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (.f64 1/2 (pow.f64 eps 3)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) 2) (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 2))))))
(+.f64 (fma.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x)) (.f64 eps eps)) eps) (.f64 1/3 (+.f64 (/.f64 (-.f64 (fma.f64 -1/720 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) -2/45) (fma.f64 -1/24 (pow.f64 eps 3) (.f64 (.f64 -1/2 eps) (.f64 (.f64 eps eps) 1/3))))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 eps 3) -3/2) (/.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) 1/3) (.f64 (pow.f64 eps 3) 1/2))) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (pow.f64 eps 3) -3/2) 2) (pow.f64 eps 3)))))) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 eps 3) -3/2) 3) (pow.f64 eps 6)) (.f64 1/3 (/.f64 (.f64 (pow.f64 eps 3) -3/2) (/.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) 1/3) (.f64 (pow.f64 eps 3) 1/2))) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (pow.f64 eps 3) -3/2) 2) (pow.f64 eps 3)))))))))) (/.f64 (.f64 eps eps) (pow.f64 x 6))) (/.f64 (+.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) 1/3) (.f64 (pow.f64 eps 3) 1/2))) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (pow.f64 eps 3) -3/2) 2) (pow.f64 eps 3)))) (/.f64 (.f64 eps eps) (pow.f64 x 4))))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 (pow.f64 eps 3) -3/2) eps) (/.f64 (.f64 x x) eps)) (fma.f64 1/3 (+.f64 (/.f64 (fma.f64 (pow.f64 eps 3) 1/24 (+.f64 (fma.f64 (pow.f64 eps 3) 1/2 (.f64 (pow.f64 eps 3) 1/3)) (.f64 (/.f64 (.f64 (pow.f64 eps 6) 9/4) (pow.f64 eps 3)) -1/3))) (/.f64 eps (/.f64 (pow.f64 x 4) eps))) (.f64 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 eps 3) -2/45) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 3) 1/3)) (.f64 (pow.f64 eps 3) -31/720))) (fma.f64 1/3 (.f64 (/.f64 (.f64 (pow.f64 eps 3) -3/2) (pow.f64 eps 3)) (fma.f64 (pow.f64 eps 3) 1/24 (+.f64 (fma.f64 (pow.f64 eps 3) 1/2 (.f64 (pow.f64 eps 3) 1/3)) (.f64 (/.f64 (.f64 (pow.f64 eps 6) 9/4) (pow.f64 eps 3)) -1/3)))) (fma.f64 1/3 (.f64 (/.f64 (.f64 (pow.f64 eps 3) -3/2) (pow.f64 eps 3)) (fma.f64 (pow.f64 eps 3) 1/24 (+.f64 (fma.f64 (pow.f64 eps 3) 1/2 (.f64 (pow.f64 eps 3) 1/3)) (.f64 (/.f64 (.f64 (pow.f64 eps 6) 9/4) (pow.f64 eps 3)) -1/3)))) (/.f64 1/27 (/.f64 (pow.f64 eps 6) (.f64 (pow.f64 (pow.f64 eps 3) 3) -27/8)))))) eps) (/.f64 (pow.f64 x 6) eps))) eps))
(+.f64 eps (fma.f64 1/3 (fma.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 3) -7/80) (-.f64 (.f64 (pow.f64 eps 3) -1/6) (fma.f64 1/27 (/.f64 (pow.f64 eps 3) -8/27) (.f64 (.f64 -3/2 (fma.f64 (.f64 9/4 (pow.f64 eps 3)) -1/3 (fma.f64 (pow.f64 eps 3) 1/3 (.f64 (pow.f64 eps 3) 13/24)))) 2/3)))) eps) (/.f64 (pow.f64 x 6) eps) (.f64 (/.f64 (fma.f64 (.f64 9/4 (pow.f64 eps 3)) -1/3 (fma.f64 (pow.f64 eps 3) 1/3 (.f64 (pow.f64 eps 3) 13/24))) (.f64 eps eps)) (pow.f64 x 4))) (.f64 (/.f64 (.f64 -1/2 (pow.f64 eps 3)) eps) (/.f64 x (/.f64 eps 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 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 (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (.f64 eps (.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 (.f64 eps (cos.f64 x)) (neg.f64 (cbrt.f64 -1)))
(.f64 eps (.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (.f64 eps (.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 (.f64 eps (cos.f64 x)) (neg.f64 (cbrt.f64 -1)))
(.f64 eps (.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (.f64 eps (.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 (.f64 eps (cos.f64 x)) (neg.f64 (cbrt.f64 -1)))
(.f64 eps (.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (.f64 eps (.f64 (cos.f64 x) (cbrt.f64 -1))))
(.f64 (.f64 eps (cos.f64 x)) (neg.f64 (cbrt.f64 -1)))
(.f64 eps (.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(pow.f64 eps 3)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 3))
(fma.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x) (pow.f64 eps 3))
(fma.f64 (pow.f64 eps 3) (.f64 -3/2 (.f64 x x)) (pow.f64 eps 3))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3)))
(fma.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x) (fma.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) 1/3) (*.f64 (pow.f64 eps 3) 1/2))) (pow.f64 x 4) (pow.f64 eps 3)))
(fma.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x) (fma.f64 (fma.f64 (pow.f64 eps 3) 1/24 (fma.f64 (pow.f64 eps 3) 1/2 (*.f64 (pow.f64 eps 3) 1/3))) (pow.f64 x 4) (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) (.f64 -3/2 (.f64 x x)) (fma.f64 (fma.f64 (pow.f64 eps 3) 1/3 (*.f64 (pow.f64 eps 3) 13/24)) (pow.f64 x 4) (pow.f64 eps 3)))
(+.f64 (.f64 (+.f64 (.f64 eps (+.f64 (.f64 -1/24 (pow.f64 eps 2)) (.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (.f64 -1/720 (pow.f64 eps 3)) (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 3)) (.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3))))
(fma.f64 (fma.f64 eps (.f64 (.f64 eps eps) -2/45) (fma.f64 -1/720 (pow.f64 eps 3) (fma.f64 -1/24 (pow.f64 eps 3) (.f64 (.f64 -1/2 eps) (.f64 (.f64 eps eps) 1/3))))) (pow.f64 x 6) (fma.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x) (fma.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (.f64 (.f64 eps eps) 1/3) (*.f64 (pow.f64 eps 3) 1/2))) (pow.f64 x 4) (pow.f64 eps 3))))
(fma.f64 (+.f64 (.f64 (pow.f64 eps 3) -2/45) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 3) 1/3)) (.f64 (pow.f64 eps 3) -31/720))) (pow.f64 x 6) (fma.f64 (.f64 (pow.f64 eps 3) -3/2) (.f64 x x) (fma.f64 (fma.f64 (pow.f64 eps 3) 1/24 (fma.f64 (pow.f64 eps 3) 1/2 (*.f64 (pow.f64 eps 3) 1/3))) (pow.f64 x 4) (pow.f64 eps 3))))
(fma.f64 (+.f64 (.f64 (pow.f64 eps 3) -7/80) (.f64 (pow.f64 eps 3) -1/6)) (pow.f64 x 6) (fma.f64 (pow.f64 eps 3) (.f64 -3/2 (.f64 x x)) (fma.f64 (fma.f64 (pow.f64 eps 3) 1/3 (*.f64 (pow.f64 eps 3) 13/24)) (pow.f64 x 4) (pow.f64 eps 3))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
	1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.3b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	2.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 40 to 12 computations (70% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms	eps	@	0	(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms	eps	@	-inf	(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms	x	@	inf	(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
494×	`fma-def_binary64`
326×	`pow-prod-down_binary64`
302×	`pow2_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	236	25
2	3159	25

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

544×	`distribute-rgt-neg-out_binary64`
525×	`fma-def_binary64`
484×	`associate-r_binary64`
478×	`distribute-lft-neg-out_binary64`
471×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	901
1	292	887
2	867	850
3	4356	847

Stop Event

1×	node limit

Counts

205 → 193

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))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (.f64 -1 (.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/6 (.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)

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)))
(+.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 (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 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (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))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))
(fma.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) x)) (pow.f64 (sin.f64 eps) 2))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (.f64 x (fma.f64 (cos.f64 eps) 2 -2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 x x) (.f64 (.f64 2 (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) x)) (.f64 x (.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 x (.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (.f64 -1 (.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (fma.f64 2 (.f64 (sin.f64 eps) (fma.f64 -1/6 (cos.f64 eps) 1/6)) (neg.f64 (.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)))) (pow.f64 x 3) (fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 x x) (.f64 (.f64 2 (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) (+.f64 (.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6)) (neg.f64 (+.f64 (cos.f64 eps) -1)))) (fma.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) x)) (.f64 x (.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2)))))))
(fma.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) (fma.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 (cos.f64 eps) -1 1))) (fma.f64 x (.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (.f64 x (fma.f64 (cos.f64 eps) 2 -2))))))
(fma.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) (fma.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6) (-.f64 1 (cos.f64 eps)))) (fma.f64 x (.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (.f64 x (fma.f64 (cos.f64 eps) 2 -2))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.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 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(fma.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) (cos.f64 x))) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2)))
(-.f64 (.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 eps 3))))
(.f64 (cos.f64 x) (-.f64 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (pow.f64 eps 3))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (.f64 eps eps) (*.f64 (sin.f64 x) (pow.f64 (neg.f64 eps) 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(fma.f64 (fma.f64 -1/3 (pow.f64 (cos.f64 x) 2) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4) (fma.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) (cos.f64 x))) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (-.f64 (.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (.f64 (cos.f64 x) (-.f64 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (.f64 eps eps) (.f64 (sin.f64 x) (pow.f64 (neg.f64 eps) 3)))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/6 (.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
(fma.f64 (fma.f64 -1/3 (pow.f64 (cos.f64 x) 2) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4) (fma.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 x)) 1/4) (pow.f64 eps 5) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (-.f64 (fma.f64 (.f64 eps eps) (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (sin.f64 x) (cos.f64 x)) (.f64 1/4 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (fma.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (neg.f64 (pow.f64 eps 3)) (*.f64 1/4 (pow.f64 eps 5))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (fma.f64 eps (.f64 eps (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 1/4 (pow.f64 eps 5)) (pow.f64 eps 3)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)

localize20.0ms (0.1%)

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)))
	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	1.8b	(-.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)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite151.0ms (1%)

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 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(#(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 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simplify132.0ms (0.9%)

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

eval807.0ms (5.5%)

Compiler: Compiled 21411 to 8348 computations (61% saved)

prune1.1s (7.6%)

Pruning

58 alts after pruning (54 fresh and 4 done)

	Pruned	Kept	Total
New	1093	33	1126
Fresh	27	21	48
Picked	1	0	1
Done	3	4	7
Total	1124	58	1182

Error

0.0b

Counts

1182 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
	46.4b	(+.f64 eps (.f64 x (.f64 -1/2 (*.f64 eps x))))
✓	24.2b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	46.4b	(+.f64 eps (.f64 eps (.f64 -1/2 (*.f64 x x))))
	30.1b	(+.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)))))
	13.0b	(fma.f64 (sin.f64 eps) (cos.f64 x) (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
	46.7b	(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
	61.2b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 x))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
	28.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
	46.6b	(.f64 eps (+.f64 1 (.f64 (+.f64 eps x) (*.f64 x -1/2))))
	27.3b	(sin.f64 eps)
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
	34.5b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	39.3b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
▶	35.3b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	51.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	24.2b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) -1)))
	28.5b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 0 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2))))
	39.8b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
✓	35.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	35.4b	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	1.8b	(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	15.0b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log.f64 (cos.f64 eps))) (sin.f64 x)))
	28.4b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
	47.7b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	23.4b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
▶	24.2b	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	24.2b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	35.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	46.0b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	44.2b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	48.1b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	45.3b	(+.f64 eps (.f64 (.f64 eps x) (*.f64 -1/2 eps)))
▶	0.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
▶	29.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	36.2b	(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
	59.8b	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
	35.2b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	0.3b	(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	36.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	28.6b	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
	48.8b	(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
	28.5b	(fma.f64 (.f64 (.f64 eps eps) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
	28.7b	(+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	61.4b	(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
	44.3b	eps
	33.1b	(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	33.6b	(fma.f64 (sin.f64 x) (cos.f64 eps) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))))
✓	28.2b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 1491 to 1029 computations (31% saved)

localize71.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 13 computations (61.8% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
504×	`prod-diff_binary64`
332×	`pow-prod-down_binary64`
314×	`pow2_binary64`
231×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	228	27
2	2925	27

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify144.0ms (1%)

Algorithm

1×	egg-herbie

Rules

426×	`*-commutative_binary64`
413×	`distribute-lft-in_binary64`
399×	`fma-def_binary64`
392×	`distribute-rgt-in_binary64`
348×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	786
1	210	772
2	586	725
3	1974	721
4	3756	721
5	5345	721

Stop Event

1×	node limit

Counts

99 → 80

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 eps (.f64 eps (.f64 -1/2 (*.f64 x x))))
✓	0.0b	(.f64 -1/2 (.f64 x x))
✓	8.7b	(.f64 eps (.f64 -1/2 (*.f64 x x)))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(.f64 eps (.f64 -1/2 (*.f64 x x)))
1.0ms	x	@	0	(.f64 eps (.f64 -1/2 (*.f64 x x)))
1.0ms	eps	@	inf	(.f64 eps (.f64 -1/2 (*.f64 x x)))
1.0ms	x	@	inf	(.f64 eps (.f64 -1/2 (*.f64 x x)))
1.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))

rewrite137.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	174	28
2	2338	28

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify342.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1076×	`fma-def_binary64`
835×	`fma-neg_binary64`
418×	`distribute-rgt-neg-in_binary64`
405×	`unswap-sqr_binary64`
314×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	618
1	48	576
2	107	576
3	316	576
4	999	576
5	2031	576
6	3437	576
7	4982	576
8	5959	576
9	6598	576
10	7025	576
11	7341	576
12	7752	576

Stop Event

1×	node limit

Counts

121 → 70

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) eps)
✓	0.6b	(cbrt.f64 (*.f64 (cos.f64 x) eps))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)

Compiler

Compiled 23 to 8 computations (65.2% saved)

series28.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
4.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
2.0ms	eps	@	0	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-l_binary64`
651×	`associate-r_binary64`
537×	`fma-def_binary64`
404×	`distribute-rgt-out_binary64`
242×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	500
1	309	464
2	1003	400
3	5875	392

Stop Event

1×	node limit

Counts

76 → 72

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 1 1/3))) (.f64 -1/3 (.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (.f64 eps (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 1 1/3))) (.f64 -1/3 (.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (+.f64 (.f64 1/18 (.f64 eps (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/36 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 (.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 1 1/3))) (.f64 -1/3 (.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (+.f64 (.f64 1/18 (.f64 eps (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/36 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 (.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (.f64 eps (pow.f64 1 1/3)) (.f64 (pow.f64 x 6) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 eps) (+.f64 (.f64 -1/216 eps) (.f64 -1/3 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (+.f64 (.f64 (pow.f64 (.f64 eps 1) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 -1/720 eps) (+.f64 (.f64 -1/216 eps) (.f64 -1/3 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))))))) (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(pow.f64 eps 1/3)
(+.f64 (pow.f64 eps 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 eps 1) 1/3) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (.f64 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (.f64 (-.f64 (.f64 -1/720 eps) (+.f64 (.f64 -1/216 eps) (.f64 -1/3 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 eps 1) 1/3) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (.f64 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)) (pow.f64 x 4)))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)

Outputs
(*.f64 eps (pow.f64 1 1/3))
eps
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 1 1/3))) (.f64 -1/3 (.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (.f64 eps (pow.f64 1 1/3)))
(fma.f64 (.f64 eps -1/2) (.f64 x x) eps)
(fma.f64 eps (.f64 (.f64 x x) -1/2) eps)
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 1 1/3))) (.f64 -1/3 (.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (+.f64 (.f64 1/18 (.f64 eps (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/36 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 (.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(fma.f64 (.f64 eps -1/2) (.f64 x x) (fma.f64 (+.f64 (.f64 1/3 (.f64 eps -1/24)) (fma.f64 1/18 eps (.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps)))) (pow.f64 x 4) eps))
(fma.f64 (.f64 eps -1/2) (.f64 x x) (fma.f64 (fma.f64 1/3 (.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 eps -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps) (.f64 eps 1/18))) (pow.f64 x 4) eps))
(fma.f64 (fma.f64 eps 1/18 (fma.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 (/.f64 1 eps)) (.f64 eps -1/36))) (cbrt.f64 eps) (.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (.f64 (.f64 x x) -1/2) eps))
(fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 (/.f64 1 eps)) (.f64 eps -1/36))) (cbrt.f64 eps) (.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (.f64 (.f64 x x) -1/2) eps))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 1 1/3))) (.f64 -1/3 (.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (+.f64 (.f64 1/18 (.f64 eps (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/36 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 (.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (.f64 eps (pow.f64 1 1/3)) (.f64 (pow.f64 x 6) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 eps) (+.f64 (.f64 -1/216 eps) (.f64 -1/3 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (+.f64 (.f64 (pow.f64 (.f64 eps 1) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 -1/720 eps) (+.f64 (.f64 -1/216 eps) (.f64 -1/3 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))))))) (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(fma.f64 (.f64 eps -1/2) (.f64 x x) (+.f64 (fma.f64 (+.f64 (.f64 1/3 (.f64 eps -1/24)) (fma.f64 1/18 eps (.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (.f64 eps -1/24))) (cbrt.f64 eps)))) (pow.f64 x 4) eps) (.f64 (pow.f64 x 6) (+.f64 (+.f64 (.f64 1/3 (-.f64 (.f64 eps -1/720) (fma.f64 -1/216 eps (.f64 -1/3 (.f64 eps -1/24))))) (.f64 -1/9 (.f64 eps -1/24))) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/9 (.f64 (.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (-.f64 (.f64 eps -1/720) (fma.f64 -1/216 eps (.f64 -1/3 (.f64 eps -1/24)))))) (.f64 -1/6 (.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps))))))))
(fma.f64 (.f64 eps -1/2) (.f64 x x) (fma.f64 (fma.f64 1/3 (.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 eps -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps) (.f64 eps 1/18))) (pow.f64 x 4) (fma.f64 (pow.f64 x 6) (fma.f64 1/3 (-.f64 (.f64 eps 7/2160) (.f64 eps 1/72)) (fma.f64 (.f64 eps -1/24) -1/9 (.f64 (cbrt.f64 eps) (+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 eps)) (-.f64 (.f64 eps 7/2160) (.f64 eps 1/72))) (.f64 (.f64 eps -1/24) (.f64 (cbrt.f64 (/.f64 1 eps)) -1/9))) (.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps)))))))))) eps)))
(fma.f64 (fma.f64 eps 1/18 (fma.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 (/.f64 1 eps)) (.f64 eps -1/36))) (cbrt.f64 eps) (.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (.f64 (.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 (/.f64 1 eps)) (.f64 eps -1/36))) (.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (.f64 eps 1/216) (.f64 2/3 (.f64 eps -23/2160))))) (fma.f64 1/3 (.f64 eps -23/2160) (*.f64 eps 1/216))) eps)))
(fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 (/.f64 1 eps)) (.f64 eps -1/36))) (cbrt.f64 eps) (.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (.f64 (.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 (/.f64 1 eps)) (.f64 eps -1/36))) (.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (.f64 eps 1/216) (.f64 2/3 (.f64 eps -23/2160))))) (fma.f64 1/3 (.f64 eps -23/2160) (*.f64 eps 1/216))) eps)))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(pow.f64 eps 1/3)
(cbrt.f64 eps)
(+.f64 (pow.f64 eps 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (cbrt.f64 eps) (.f64 -1/6 (.f64 (*.f64 x x) (cbrt.f64 eps))))
(fma.f64 -1/6 (.f64 x (.f64 x (cbrt.f64 eps))) (cbrt.f64 eps))
(.f64 (+.f64 (.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps))
(+.f64 (pow.f64 eps 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 eps 1) 1/3) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (.f64 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (cbrt.f64 eps) (fma.f64 -1/6 (.f64 (.f64 x x) (cbrt.f64 eps)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 eps eps)))) (.f64 (*.f64 eps -1/24) (pow.f64 x 4)))))
(+.f64 (cbrt.f64 eps) (fma.f64 1/3 (.f64 (pow.f64 x 4) (.f64 (.f64 eps -1/24) (cbrt.f64 (/.f64 1 (.f64 eps eps))))) (.f64 -1/6 (.f64 x (*.f64 x (cbrt.f64 eps))))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 eps eps))) (.f64 (.f64 eps (pow.f64 x 4)) -1/72) (.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) (cbrt.f64 eps)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (.f64 (-.f64 (.f64 -1/720 eps) (+.f64 (.f64 -1/216 eps) (.f64 -1/3 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 eps 1) 1/3) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (.f64 (-.f64 (.f64 1/24 eps) (.f64 1/12 eps)) (pow.f64 x 4)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 eps eps))) (.f64 (pow.f64 x 6) (-.f64 (.f64 eps -1/720) (fma.f64 -1/216 eps (.f64 -1/3 (.f64 eps -1/24)))))) (+.f64 (cbrt.f64 eps) (fma.f64 -1/6 (.f64 (.f64 x x) (cbrt.f64 eps)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 eps eps)))) (.f64 (*.f64 eps -1/24) (pow.f64 x 4))))))
(fma.f64 1/3 (.f64 (-.f64 (.f64 eps 7/2160) (.f64 eps 1/72)) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (.f64 eps eps))))) (+.f64 (cbrt.f64 eps) (fma.f64 1/3 (.f64 (pow.f64 x 4) (.f64 (.f64 eps -1/24) (cbrt.f64 (/.f64 1 (.f64 eps eps))))) (.f64 -1/6 (.f64 x (.f64 x (cbrt.f64 eps)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) (cbrt.f64 eps)) (.f64 (cbrt.f64 (/.f64 1 (.f64 eps eps))) (+.f64 (.f64 (.f64 eps (pow.f64 x 4)) -1/72) (.f64 1/3 (.f64 (pow.f64 x 6) (.f64 eps -23/2160))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (sin.f64 (+.f64 x eps)))
✓	0.3b	(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
	2.8b	(sin.f64 (+.f64 x eps))
✓	6.0b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (sin.f64 (+.f64 x eps)))
1.0ms	eps	@	0	(expm1.f64 (sin.f64 (+.f64 x eps)))
1.0ms	x	@	0	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
0.0ms	eps	@	-inf	(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms	x	@	-inf	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log-prod_binary64`
388×	`fma-def_binary64`
343×	`exp-prod_binary64`
296×	`pow-prod-down_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	186	25
2	2707	25

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

simplify159.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

787×	`distribute-rgt-neg-out_binary64`
756×	`fma-def_binary64`
536×	`associate-r_binary64`
521×	`associate-l_binary64`
480×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1039
1	377	1010
2	1070	954
3	5408	952

Stop Event

1×	node limit

Counts

260 → 242

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.0ms	x	@	inf	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.0ms	eps	@	inf	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.0ms	eps	@	-inf	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.0ms	x	@	-inf	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
429×	`fma-def_binary64`
350×	`pow-prod-down_binary64`
299×	`pow2_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	236	22
2	3315	22

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary64`
678×	`cancel-sign-sub-inv_binary64`
640×	`associate-l_binary64`
518×	`distribute-rgt-neg-in_binary64`
504×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	847
1	194	838
2	502	792
3	1593	791
4	4905	789

Stop Event

1×	node limit

Counts

214 → 198

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

eval232.0ms (1.6%)

Compiler: Compiled 15406 to 5381 computations (65.1% saved)

prune196.0ms (1.3%)

Pruning

66 alts after pruning (58 fresh and 8 done)

	Pruned	Kept	Total
New	818	18	836
Fresh	9	40	49
Picked	0	1	1
Done	1	7	8
Total	828	66	894

Error

0.0b

Counts

894 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
	28.9b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 eps))
	46.4b	(+.f64 eps (.f64 x (.f64 -1/2 (*.f64 eps x))))
	24.2b	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
✓	46.4b	(+.f64 eps (.f64 eps (.f64 -1/2 (*.f64 x x))))
	54.7b	(pow.f64 (pow.f64 eps 1/3) 3)
✓	24.2b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	30.1b	(+.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)))))
	13.0b	(fma.f64 (sin.f64 eps) (cos.f64 x) (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
	46.7b	(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
	23.4b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
	46.6b	(.f64 eps (+.f64 1 (.f64 (+.f64 eps x) (*.f64 x -1/2))))
	27.3b	(sin.f64 eps)
	34.5b	(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	36.6b	(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
	51.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	45.4b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) -1)))
	28.5b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 0 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2))))
	39.8b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
✓	35.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	1.8b	(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	15.0b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log.f64 (cos.f64 eps))) (sin.f64 x)))
	28.4b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
	47.7b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	0.4b	(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
✓	24.2b	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
	44.7b	(pow.f64 (cbrt.f64 eps) 3)
	24.2b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	26.7b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
	35.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	1.5b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	46.0b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	44.7b	(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	36.6b	(/.f64 1 (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	46.2b	(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 -1/2 (*.f64 x x)))) 1))
	48.1b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
	45.3b	(+.f64 eps (.f64 (.f64 eps x) (*.f64 -1/2 eps)))
✓	0.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
✓	29.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	36.2b	(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
	59.8b	(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
	35.2b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	24.8b	(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3))
	0.3b	(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
	36.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	28.6b	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
	36.4b	(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2))))
	59.8b	(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
	28.5b	(fma.f64 (.f64 (.f64 eps eps) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
	28.7b	(+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
	61.4b	(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
	28.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
	44.3b	eps
	37.1b	(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	33.1b	(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	36.0b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
✓	28.2b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 854 to 602 computations (29.5% saved)

regimes290.0ms (2%)

Counts

130 → 1

Calls

Call 1

Inputs
eps
eps
(+.f64 eps (.f64 x (.f64 -1/2 (*.f64 eps x))))
(+.f64 eps (.f64 eps (.f64 -1/2 (*.f64 x x))))
(+.f64 eps (.f64 (.f64 eps x) (*.f64 -1/2 eps)))
(.f64 eps (+.f64 1 (.f64 (+.f64 eps x) (*.f64 x -1/2))))
(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 -1/2 (*.f64 x x)))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(/.f64 1 (/.f64 1 (+.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 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 0 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2))))
(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2))))
(.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x 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)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (.f64 (.f64 eps eps) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (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 (fma.f64 (cos.f64 eps) x (sin.f64 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 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))
(fma.f64 (cos.f64 eps) x (-.f64 (.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) x))
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (.f64 x (.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(+.f64 (.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 (pow.f64 (cbrt.f64 2) 3) (+.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 1/2 (.f64 (.f64 eps eps) -1/12)))) (.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (.f64 (.f64 eps eps) 1/48) -1/4))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.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))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.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 (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 eps))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) -1)))
(fma.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (exp.f64 (log.f64 (*.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)))
(expm1.f64 (log1p.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)))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(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) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (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 (cbrt.f64 (pow.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (log.f64 (+.f64 1 (expm1.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))
(fma.f64 (sin.f64 x) (cos.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) 3))
(log.f64 (.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) (exp.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(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)))
(-.f64 (fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (neg.f64 (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 (.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 (sin.f64 x) (cos.f64 eps) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))))

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

Calls

4 calls:

70.0ms	x
69.0ms	eps
55.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
48.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1633 to 568 computations (65.2% saved)

regimes178.0ms (1.2%)

Counts

84 → 1

Calls

Call 1

Inputs
eps
eps
(+.f64 eps (.f64 x (.f64 -1/2 (*.f64 eps x))))
(+.f64 eps (.f64 eps (.f64 -1/2 (*.f64 x x))))
(+.f64 eps (.f64 (.f64 eps x) (*.f64 -1/2 eps)))
(.f64 eps (+.f64 1 (.f64 (+.f64 eps x) (*.f64 x -1/2))))
(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(+.f64 eps (-.f64 (+.f64 1 (.f64 eps (.f64 -1/2 (*.f64 x x)))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(.f64 eps (.f64 eps (*.f64 -1/2 (sin.f64 x))))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(/.f64 1 (/.f64 1 (+.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 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 0 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2))))
(.f64 2 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2))))
(.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x 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)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (.f64 (.f64 eps eps) -1/2) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (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 (fma.f64 (cos.f64 eps) x (sin.f64 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 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))))
(fma.f64 (cos.f64 eps) x (-.f64 (.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) x))
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (.f64 x (.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(.f64 (pow.f64 (cbrt.f64 2) 3) (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(+.f64 (.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 (pow.f64 (cbrt.f64 2) 3) (+.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 1/2 (.f64 (.f64 eps eps) -1/12)))) (.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (.f64 (.f64 eps eps) 1/48) -1/4))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))

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

Calls

4 calls:

48.0ms	x
41.0ms	eps
33.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
0.3b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 910 to 394 computations (56.7% saved)

regimes409.0ms (2.8%)

Counts

72 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

121.0ms	x
99.0ms	eps
71.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
62.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
11.7b	3	`x`
10.4b	3	`eps`
10.6b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
10.6b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 707 to 286 computations (59.5% saved)

bsearch115.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	2.469950189001108e-34	1.6005093841287322e-17
53.0ms	-4643945245.859508	-18942572.719046965

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes344.0ms (2.3%)

Counts

71 → 3

Calls

Call 1

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

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

Calls

4 calls:

105.0ms	eps
99.0ms	x
62.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
59.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
11.7b	3	`x`
10.5b	3	`eps`
10.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
10.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 696 to 283 computations (59.3% saved)

bsearch111.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	2.469950189001108e-34	1.6005093841287322e-17
51.0ms	-4643945245.859508	-18942572.719046965

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes176.0ms (1.2%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	eps
60.0ms	x
41.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
11.7b	3	`x`
10.7b	3	`eps`
11.0b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 445 to 207 computations (53.5% saved)

bsearch110.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.469950189001108e-34	1.6005093841287322e-17
51.0ms	-18942572.719046965	-0.1475656321457925

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes78.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	x
27.0ms	eps
18.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
11.8b	3	`x`
10.8b	3	`eps`
11.1b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 159 to 82 computations (48.4% saved)

bsearch109.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	2.469950189001108e-34	1.6005093841287322e-17
50.0ms	-18942572.719046965	-0.1475656321457925

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes44.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
20.0ms	eps

Results

Error	Segments	Branch
12.1b	3	`x`
11.2b	3	`eps`

Compiler

Compiled 95 to 55 computations (42.1% saved)

bsearch113.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	2.469950189001108e-34	1.6005093841287322e-17
52.0ms	-18942572.719046965	-0.1475656321457925

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
27.3b	1	`x`
27.3b	1	`eps`

Compiler

Compiled 74 to 41 computations (44.6% saved)

regimes13.0ms (0.1%)

Accuracy

Total -2.7b remaining (-6.1%)

Threshold costs -2.7b (-6.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
44.3b	1	`x`
44.3b	1	`eps`

Compiler

Compiled 72 to 40 computations (44.4% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	265
1	53	265
2	58	265
3	60	265
4	61	265

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -4869529530122379/1048576) (-.f64 (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps -1/2)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))))
(if (<=.f64 eps -4869529530122379/1048576) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))))
(if (<=.f64 eps -1271214536412633/67108864) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1271214536412633/67108864) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1271214536412633/67108864) (sin.f64 eps) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(if (<=.f64 eps -4869529530122379/1048576) (-.f64 (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps -1/2)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))))
(if (<=.f64 eps -4869529530122379/1048576) (-.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps -1/2)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))))
(if (<=.f64 eps -4869529530122379/1048576) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))))
(if (<=.f64 eps -1271214536412633/67108864) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1271214536412633/67108864) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1271214536412633/67108864) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1271214536412633/67108864) (sin.f64 eps) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -1271214536412633/67108864) (sin.f64 eps) (if (<=.f64 eps 1443934498140357/5846006549323611672814739330865132078623730171904) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 189 to 113 computations (40.2% saved)

soundness99.0ms (0.7%)

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

Compiler

Compiled 153 to 105 computations (31.4% saved)

end71.0ms (0.5%)

Compiler: Compiled 173 to 72 computations (58.4% 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