Details

analyze1.0ms (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 (34.3%)

Results

2.3s	3668×	body	1024	valid
1.5s	1271×	body	2048	valid
620.0ms	1374×	body	512	valid
403.0ms	1938×	body	256	valid
9.0ms	5×	body	4096	valid

Bogosity

preprocess24.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	17	22
2	25	22
3	38	22
4	53	22
5	81	22
6	141	22
7	199	22
8	284	22
9	355	22
10	407	22
11	411	22
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	31	11
5	48	11
6	86	11
7	123	11
8	167	11
9	203	11
10	229	11
11	231	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.0b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	1.1b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	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 (sin.f64 (+.f64 x eps)))) 2) 3) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (sqrt.f64 (sin.f64 (+.f64 x eps)))) 1/3) (cbrt.f64 (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 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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 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 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Outputs

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(sin.f64 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)))))))

simplify86.0ms (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))

eval107.0ms (0.8%)

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

prune310.0ms (2.2%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	169	36	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	169	37	206

Error

0.1b

Counts

206 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	36.6b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
▶	30.1b	(*.f64 (cos.f64 x) eps)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	51.6b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	43.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
	41.9b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	23.9b	(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)))
▶	23.4b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	36.0b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	51.1b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
	26.9b	(-.f64 (/.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)))))) (sin.f64 x))
	36.2b	(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	23.4b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	36.4b	(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (.f64 x (.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	23.4b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	36.1b	(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
	36.2b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	30.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	36.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	43.7b	(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
	36.0b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	30.2b	(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)))))
	36.2b	(-.f64 (sin.f64 eps) (sin.f64 x))
	37.1b	(.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))))
	45.5b	(-.f64 (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))) (sin.f64 x))
	30.2b	(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
✓	36.0b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	24.1b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	23.4b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	43.7b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	30.2b	(.f64 eps (+.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps (sin.f64 x)))))
▶	51.4b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
▶	30.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	23.4b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	36.5b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	43.6b	(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))

Compiler

Compiled 1125 to 726 computations (35.5% saved)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	1.7b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series21.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite134.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

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

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simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 196

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series4.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite58.0ms (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)))))))

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

localize20.0ms (0.1%)

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)
✓	4.3b	(*.f64 (pow.f64 eps 2) (sin.f64 x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series20.0ms (0.1%)

Counts

3 → 19

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	0	(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms	x	@	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	@	inf	(*.f64 (pow.f64 eps 2) (sin.f64 x))

rewrite88.0ms (0.6%)

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 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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 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#<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))))))

simplify189.0ms (1.3%)

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)))))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
✓	0.4b	(pow.f64 (sin.f64 (+.f64 x eps)) 2)
	1.1b	(sin.f64 (+.f64 x eps))
✓	2.2b	(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series16.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
1.0ms	x	@	0	(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms	eps	@	0	(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms	eps	@	-inf	(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms	x	@	-inf	(pow.f64 (sin.f64 (+.f64 x eps)) 2)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
421×	`fma-def_binary64`
309×	`pow-prod-down_binary64`
281×	`pow2_binary64`
228×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	229	26
2	2941	26

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

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

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

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

683×	`distribute-rgt-neg-out_binary64`
648×	`fma-def_binary64`
600×	`distribute-lft-neg-out_binary64`
523×	`associate-r_binary64`
506×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	986
1	329	973
2	917	935
3	4253	935

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	0.2b	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	1.7b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series9.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite207.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`fma-def_binary64`
634×	`log-prod_binary64`
370×	`fma-neg_binary64`
348×	`pow2_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	247	32
2	3655	32

Stop Event

1×	node limit

Counts

3 → 241

Calls

Call 1

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

Outputs

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(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))))))

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

542×	`fma-def_binary64`
448×	`*-commutative_binary64`
401×	`fma-neg_binary64`
392×	`cancel-sign-sub-inv_binary64`
316×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	953
1	262	937
2	729	868
3	2400	856
4	4716	854
5	7825	854

Stop Event

1×	node limit

Counts

297 → 287

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 -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))))))

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

eval456.0ms (3.2%)

Compiler: Compiled 18913 to 5993 computations (68.3% saved)

prune490.0ms (3.5%)

Pruning

61 alts after pruning (58 fresh and 3 done)

	Pruned	Kept	Total
New	949	51	1000
Fresh	24	7	31
Picked	0	1	1
Done	3	2	5
Total	976	61	1037

Error

0.0b

Counts

1037 → 61

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.1b	(*.f64 (cos.f64 x) eps)
	54.6b	(-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 x eps)))))) (sin.f64 x))
	60.6b	(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
✓	23.4b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	34.8b	(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	30.2b	(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2))))
	53.1b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 eps (cos.f64 x)) (sin.f64 x)))
	25.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))
	30.6b	(+.f64 (.f64 (cos.f64 x) eps) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))) 1))
	50.4b	(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
	43.7b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	59.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
✓	23.4b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	26.9b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	30.3b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 0 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2))))
	36.2b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	54.6b	(/.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)))))
	36.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	30.6b	(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
	47.2b	eps
	45.6b	(fma.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
	36.2b	(-.f64 (sin.f64 eps) (sin.f64 x))
	50.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	60.8b	(+.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) eps)) 1) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	37.1b	(.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))))
▶	36.5b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
▶	40.4b	(fma.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
	30.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps (sin.f64 x))))))))
	23.4b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	36.7b	(-.f64 (fma.f64 (cos.f64 eps) x (.f64 (+.f64 (.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
	37.0b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (.f64 (+.f64 (.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) (sin.f64 x))
	45.5b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (sin.f64 eps))) 2) (sin.f64 x)))
	36.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
	54.2b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
	23.5b	(+.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	30.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	30.6b	(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)))
	31.0b	(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)))
	24.2b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	36.0b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	60.9b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
	46.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	23.4b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	23.4b	(fma.f64 (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	51.6b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
	30.8b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	23.9b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	0.3b	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 eps))))
▶	57.5b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	30.2b	(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (*.f64 eps eps) 1/24)))))
	29.4b	(sin.f64 eps)
	30.2b	(fma.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
	36.4b	(fma.f64 x (+.f64 (.f64 (sin.f64 eps) (.f64 x -1/2)) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
	51.2b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
	26.7b	(/.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)) (fma.f64 (fma.f64 (cos.f64 x) (sin.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))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))
	23.5b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x)))
	24.1b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (neg.f64 (sin.f64 x))))
	36.0b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	49.9b	(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 (+.f64 eps x)))))

Compiler

Compiled 1906 to 1257 computations (34.1% saved)

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
✓	0.2b	(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
✓	0.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 36 to 16 computations (55.6% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite100.0ms (0.7%)

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

Outputs

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

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

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

579×	`fma-neg_binary64`
486×	`fma-def_binary64`
464×	`*-commutative_binary64`
456×	`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	2341	936
4	5438	936
5	7500	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 -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))
(*.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 -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 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/2 (.f64 eps eps)))))
(-.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 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(.f64 -1/2 (.f64 eps (*.f64 eps (sin.f64 x))))
(.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (.f64 (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 (.f64 1/24 (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 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/2 (*.f64 eps eps))))))
(.f64 (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))))) (sin.f64 x))
(.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/2 (*.f64 eps eps))))) (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 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(.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 (*.f64 1/120 (+.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 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5))))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.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 (.f64 1/120 (+.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))))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (.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 1/120 (pow.f64 x 5)) (.f64 -1/5040 (pow.f64 x 7)))))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (sin.f64 x) (-.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 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 -1/2 eps)) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x)))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))) (.f64 (.f64 eps eps) (.f64 -1/2 (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 -1/2 (.f64 eps 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 (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 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (fma.f64 (sin.f64 eps) (.f64 -1/2 (.f64 x x)) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (fma.f64 (.f64 x x) (.f64 -1/2 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 eps))) (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 (.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)))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (.f64 -1/2 (+.f64 eps x)))
✓	4.8b	(.f64 eps (.f64 x (*.f64 -1/2 (+.f64 eps x))))

Compiler

Compiled 40 to 18 computations (55% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(.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	x	@	inf	(.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))))

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`pow1_binary64`
904×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
92×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	23
2	2497	23

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
744×	`unswap-sqr_binary64`
682×	`sqr-pow_binary64`
548×	`fabs-mul_binary64`
502×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	678
1	47	588
2	103	516
3	260	516
4	1082	516
5	2183	516
6	3623	516
7	3893	516
8	3994	516
9	4129	516
10	4320	516
11	4567	516
12	4913	516
13	5310	516
14	5866	516
15	6605	516
16	7543	516

Stop Event

1×	node limit

Counts

86 → 51

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) eps)
✓	0.2b	(pow.f64 (*.f64 (cos.f64 x) eps) 3)
✓	38.9b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series21.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	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)
3.0ms	x	@	-inf	(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)

rewrite69.0ms (0.5%)

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))))))))

simplify52.0ms (0.4%)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	0.4b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
	0.6b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	1.1b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series34.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
4.0ms	eps	@	0	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms	eps	@	inf	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

197 → 181

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.0b	(fma.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) -1/2)))
✓	0.1b	(*.f64 eps (sqrt.f64 (cos.f64 x)))
✓	4.4b	(.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/2))

Compiler

Compiled 49 to 17 computations (65.3% saved)

series16.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
415×	`pow-prod-down_binary64`
305×	`pow2_binary64`
294×	`prod-diff_binary64`
233×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	242	45
2	2877	43

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify181.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

833×	`distribute-lft-out_binary64`
683×	`*-commutative_binary64`
502×	`sqr-pow_binary64`
413×	`fma-def_binary64`
404×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	74	1015
1	195	1009
2	536	983
3	1952	943
4	3761	943
5	4031	943
6	4261	943
7	4537	942
8	4949	942
9	5260	942
10	6870	942
11	7272	942
12	7746	942

Stop Event

1×	node limit

Counts

174 → 139

Calls

Call 1

Inputs
(.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) (sin.f64 x)))
(.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) (sin.f64 x)))
(.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) (sin.f64 x)))
(.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) (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))))))
(.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) (sin.f64 x)))
(.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) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
eps
(+.f64 eps (.f64 -1/4 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -1/96 (.f64 eps (pow.f64 x 4))) (.f64 -1/4 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -19/5760 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 -1/96 (.f64 eps (pow.f64 x 4))) (.f64 -1/4 (.f64 eps (pow.f64 x 2))))))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) 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 -1/2 (*.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)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.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 (.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 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.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 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.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 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.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))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))

Outputs
(.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 -1/2 (.f64 eps (*.f64 eps (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 -1/2 (.f64 eps (*.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x)))
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(fma.f64 -1/2 (.f64 (.f64 eps eps) x) (+.f64 eps (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 1/12 (.f64 (*.f64 eps eps) (pow.f64 x 3))))))
(+.f64 (fma.f64 (.f64 -1/2 (.f64 eps eps)) x eps) (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 (pow.f64 x 3) (.f64 (*.f64 eps eps) 1/12))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 3)))) (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps))
(+.f64 (.f64 x (.f64 (.f64 -1/2 eps) (+.f64 eps x))) (fma.f64 (.f64 eps eps) (*.f64 1/12 (pow.f64 x 3)) eps))
(+.f64 (.f64 eps (.f64 x (.f64 -1/2 (+.f64 eps x)))) (fma.f64 (.f64 eps eps) (*.f64 1/12 (pow.f64 x 3)) eps))
(+.f64 eps (.f64 eps (+.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/12)) (.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(.f64 eps (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/12)) (.f64 -1/2 (*.f64 x (+.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.f64 (.f64 (cos.f64 x) eps) (.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.f64 (.f64 (cos.f64 x) eps) (.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.f64 (.f64 (cos.f64 x) eps) (.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.f64 (.f64 (cos.f64 x) eps) (.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 -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 (.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 -1/2 eps))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (.f64 x x) 1) (.f64 -1/96 (pow.f64 x 4)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -1/96 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) 1) (fma.f64 -1/96 (pow.f64 x 4) (.f64 -19/5760 (pow.f64 x 6))))
(+.f64 (fma.f64 -1/4 (.f64 x x) 1) (fma.f64 -19/5760 (pow.f64 x 6) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 x (.f64 x -1/4) (fma.f64 -1/96 (pow.f64 x 4) (.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fma.f64 x (.f64 x -1/4) 1) (fma.f64 -19/5760 (pow.f64 x 6) (.f64 -1/96 (pow.f64 x 4))))

eval413.0ms (2.9%)

Compiler: Compiled 18200 to 8131 computations (55.3% saved)

prune250.0ms (1.8%)

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	832	28	860
Fresh	26	27	53
Picked	1	0	1
Done	2	5	7
Total	861	60	921

Error

0.0b

Counts

921 → 60

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.1b	(*.f64 (cos.f64 x) eps)
	54.6b	(-.f64 (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 x eps)))))) (sin.f64 x))
	60.6b	(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
	49.6b	(+.f64 eps (.f64 x (.f64 x (*.f64 -1/2 eps))))
▶	0.2b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
	12.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
✓	23.4b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	34.8b	(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	36.0b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	59.5b	(pow.f64 (pow.f64 eps 3) 1/3)
✓	23.4b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	50.4b	(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
	43.7b	(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	25.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))
	59.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	26.0b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
	30.4b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps))
	49.8b	(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 x))))
	1.5b	(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
	30.2b	(.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 -1/2 eps)) (cos.f64 x)))
	36.2b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
	54.6b	(/.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)))))
	36.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	45.1b	(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.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)))
	0.3b	(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	36.2b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	50.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	60.8b	(+.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) eps)) 1) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	28.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (fma.f64 -1/2 (.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
	40.3b	(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
	36.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
	23.4b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	36.7b	(-.f64 (fma.f64 (cos.f64 eps) x (.f64 (+.f64 (.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
	20.4b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
	54.2b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
	30.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	30.4b	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
	24.2b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	36.0b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	60.9b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
	46.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	30.1b	(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
	45.4b	(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
▶	48.3b	(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 eps))))
	30.8b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
	45.7b	(.f64 (.f64 (cos.f64 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
✓	57.5b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	30.2b	(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (*.f64 eps eps) 1/24)))))
	29.4b	(sin.f64 eps)
	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)))
	30.2b	(+.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) -1/2))) (.f64 eps (cos.f64 x)))
	51.6b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
▶	51.2b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
	36.8b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
	47.2b	eps
	30.6b	(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))

Compiler

Compiled 1536 to 1063 computations (30.8% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
	0.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 34 to 13 computations (61.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	221	19
2	2713	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-def_binary64`
754×	`distribute-rgt-out_binary64`
746×	`distribute-lft-out_binary64`
665×	`associate-l_binary64`
505×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	478
1	123	476
2	329	465
3	1055	450
4	4501	450

Stop Event

1×	node limit

Counts

60 → 52

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	174	21
2	2379	21

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify209.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1080×	`sqr-pow_binary64`
750×	`fma-def_binary64`
634×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
612×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	480
1	20	480
2	42	480
3	94	480
4	247	480
5	850	480
6	1392	480
7	2127	480
8	2357	480
9	2536	480
10	2744	480
11	3080	480
12	3422	480
13	3796	480
14	4255	480
15	4864	480
16	5572	480
17	6430	480
18	6854	480
19	7168	480
20	7478	480
21	7556	480
22	7592	480

Stop Event

1×	node limit

Counts

98 → 56

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) eps)
	0.2b	(pow.f64 (*.f64 (cos.f64 x) eps) 3)
✓	39.1b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
0.0ms	eps	@	0	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6
1	168	6
2	1728	6

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

458×	`distribute-rgt-out_binary64`
451×	`*-commutative_binary64`
449×	`fma-neg_binary64`
397×	`associate-l_binary64`
372×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	218
1	70	216
2	187	212
3	542	206
4	2089	205
5	4162	205
6	4458	205
7	4805	205
8	5609	205
9	7060	205

Stop Event

1×	node limit

Counts

53 → 38

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
✓	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	15.1b	(sqrt.f64 (pow.f64 (sin.f64 eps) 2))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
811×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
792×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	17
2	2202	17

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-def_binary64`
654×	`associate-l_binary64`
650×	`distribute-lft-out_binary64`
644×	`distribute-rgt-out_binary64`
498×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	365
1	158	350
2	387	344
3	1224	342
4	4619	342

Stop Event

1×	node limit

Counts

115 → 105

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
✓	0.2b	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 x))

Compiler

Compiled 33 to 14 computations (57.6% saved)

series19.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
2.0ms	x	@	inf	(*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
2.0ms	x	@	-inf	(*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
2.0ms	eps	@	0	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
2.0ms	x	@	inf	(cbrt.f64 (cos.f64 x))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	181	30
2	2011	30

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify212.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1924×	`fma-def_binary64`
724×	`sqr-pow_binary64`
430×	`*-commutative_binary64`
420×	`cube-prod_binary64`
327×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	68	684
1	172	672
2	433	662
3	1334	657
4	1963	655
5	2855	655
6	2995	655
7	3200	655
8	3419	646
9	5309	646
10	5733	646
11	6251	646
12	6843	646
13	7531	646
14	7866	646

Stop Event

1×	node limit

Counts

134 → 95

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (*.f64 -23/6480 (pow.f64 x 6)))))
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (.f64 -1/405 (pow.f64 x 6))))
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/405 (pow.f64 x 6)) (*.f64 -1/1701 (pow.f64 x 8)))))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(*.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 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
eps
(+.f64 (.f64 -1/3 (.f64 eps (pow.f64 x 2))) eps)
(+.f64 (.f64 -1/3 (.f64 eps (pow.f64 x 2))) (+.f64 eps (.f64 -1/405 (.f64 eps (pow.f64 x 6)))))
(+.f64 (.f64 -1/3 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/1701 (.f64 eps (pow.f64 x 8))) (+.f64 eps (.f64 -1/405 (.f64 eps (pow.f64 x 6))))))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 (.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))
(fma.f64 -1/72 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (.f64 x x))))
(fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/72 (pow.f64 x 4) 1))
(+.f64 (.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (*.f64 -23/6480 (pow.f64 x 6)))))
(fma.f64 -1/72 (pow.f64 x 4) (+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 -23/6480 (pow.f64 x 6)))))
(+.f64 (fma.f64 -23/6480 (pow.f64 x 6) (.f64 -1/6 (.f64 x x))) (fma.f64 -1/72 (pow.f64 x 4) 1))
(fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (fma.f64 -23/6480 (pow.f64 x 6) 1)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -23/6480 (pow.f64 x 6) 1)))
(fma.f64 -23/6480 (pow.f64 x 6) (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/72 (pow.f64 x 4) 1)))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (.f64 -1/405 (pow.f64 x 6))))
(+.f64 (fma.f64 -1/3 (.f64 x x) 1) (.f64 (pow.f64 x 6) -1/405))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 6) -1/405 1))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 1))
(+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/405 (pow.f64 x 6)) (*.f64 -1/1701 (pow.f64 x 8)))))
(+.f64 (fma.f64 -1/3 (.f64 x x) 1) (fma.f64 -1/405 (pow.f64 x 6) (.f64 -1/1701 (pow.f64 x 8))))
(+.f64 (fma.f64 (.f64 x x) -1/3 1) (fma.f64 (pow.f64 x 6) -1/405 (.f64 -1/1701 (pow.f64 x 8))))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 (fma.f64 -1/1701 (pow.f64 x 8) 1)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/1701 -1/3) (fma.f64 (pow.f64 x 6) -1/405 1))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(*.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 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 -1/2 (.f64 (*.f64 x x) eps)))
(fma.f64 -1/2 (.f64 x (.f64 x eps)) eps)
(fma.f64 (.f64 x x) (.f64 eps -1/2) eps)
(fma.f64 x (.f64 x (.f64 eps -1/2)) eps)
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (.f64 (pow.f64 x 4) eps) (.f64 -1/2 (.f64 (.f64 x x) eps))))
(+.f64 eps (fma.f64 -1/2 (.f64 x (.f64 x eps)) (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(fma.f64 (.f64 x x) (.f64 eps -1/2) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) eps))
(fma.f64 (pow.f64 x 4) (.f64 eps 1/24) (fma.f64 (.f64 x x) (*.f64 eps -1/2) eps))
(.f64 eps (fma.f64 x (.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 1)))
(+.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 (pow.f64 x 6) eps) (+.f64 eps (fma.f64 1/24 (.f64 (pow.f64 x 4) eps) (.f64 -1/2 (.f64 (*.f64 x x) eps)))))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 x eps)) (.f64 (pow.f64 x 4) (.f64 eps 1/24))) (fma.f64 (*.f64 eps -1/720) (pow.f64 x 6) eps))
(fma.f64 (pow.f64 x 6) (.f64 eps -1/720) (fma.f64 (.f64 x x) (.f64 eps -1/2) (fma.f64 (pow.f64 x 4) (.f64 eps 1/24) eps)))
(fma.f64 (pow.f64 x 6) (.f64 eps -1/720) (fma.f64 (pow.f64 x 4) (.f64 eps 1/24) (fma.f64 (.f64 x x) (.f64 eps -1/2) eps)))
(.f64 eps (fma.f64 x (fma.f64 1/24 (pow.f64 x 3) (.f64 x -1/2)) (fma.f64 (pow.f64 x 6) -1/720 1)))
(*.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 (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 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
eps
(+.f64 (.f64 -1/3 (.f64 eps (pow.f64 x 2))) eps)
(fma.f64 -1/3 (.f64 (.f64 x x) eps) eps)
(fma.f64 -1/3 (.f64 x (.f64 x eps)) eps)
(fma.f64 (.f64 x x) (.f64 -1/3 eps) eps)
(fma.f64 x (.f64 x (.f64 -1/3 eps)) eps)
(+.f64 (.f64 -1/3 (.f64 eps (pow.f64 x 2))) (+.f64 eps (.f64 -1/405 (.f64 eps (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/3 (.f64 (.f64 x x) eps) eps) (.f64 (.f64 -1/405 eps) (pow.f64 x 6)))
(fma.f64 -1/3 (.f64 x (.f64 x eps)) (fma.f64 (*.f64 -1/405 eps) (pow.f64 x 6) eps))
(+.f64 eps (.f64 eps (fma.f64 x (.f64 x -1/3) (*.f64 (pow.f64 x 6) -1/405))))
(.f64 eps (fma.f64 x (.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 1)))
(.f64 (fma.f64 x (.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 1)) eps)
(+.f64 (.f64 -1/3 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/1701 (.f64 eps (pow.f64 x 8))) (+.f64 eps (.f64 -1/405 (.f64 eps (pow.f64 x 6))))))
(fma.f64 -1/3 (.f64 (.f64 x x) eps) (fma.f64 -1/1701 (.f64 (pow.f64 x 8) eps) (+.f64 eps (.f64 (*.f64 -1/405 eps) (pow.f64 x 6)))))
(fma.f64 -1/3 (.f64 x (.f64 x eps)) (fma.f64 -1/1701 (.f64 (pow.f64 x 8) eps) (fma.f64 (.f64 -1/405 eps) (pow.f64 x 6) eps)))
(+.f64 (fma.f64 (.f64 x x) (.f64 -1/3 eps) eps) (.f64 eps (fma.f64 (pow.f64 x 6) -1/405 (.f64 -1/1701 (pow.f64 x 8)))))
(+.f64 eps (.f64 eps (fma.f64 x (.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 (*.f64 -1/1701 (pow.f64 x 8))))))
(.f64 eps (fma.f64 x (.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 (fma.f64 -1/1701 (pow.f64 x 8) 1))))
(.f64 (fma.f64 x (.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 (fma.f64 -1/1701 (pow.f64 x 8) 1))) eps)
(.f64 (fma.f64 (.f64 x x) (fma.f64 (pow.f64 x 6) -1/1701 -1/3) (fma.f64 (pow.f64 x 6) -1/405 1)) eps)
(fma.f64 eps (fma.f64 x (.f64 x -1/3) (.f64 (pow.f64 x 6) (fma.f64 (*.f64 x x) -1/1701 -1/405))) eps)
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(.f64 eps (pow.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1) 1/3))
(*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 2)))

eval218.0ms (1.6%)

Compiler: Compiled 7551 to 3738 computations (50.5% saved)

prune175.0ms (1.2%)

Pruning

67 alts after pruning (58 fresh and 9 done)

	Pruned	Kept	Total
New	487	23	510
Fresh	15	35	50
Picked	0	1	1
Done	1	8	9
Total	503	67	570

Error

0.0b

Counts

570 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	36.3b	(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
✓	30.1b	(*.f64 (cos.f64 x) eps)
	60.6b	(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
	49.6b	(+.f64 eps (.f64 x (.f64 x (*.f64 -1/2 eps))))
	37.7b	(-.f64 (sin.f64 eps) x)
✓	0.2b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
	12.8b	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
✓	23.4b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	34.8b	(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	43.3b	(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
	30.1b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
	50.3b	(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
	38.9b	(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
	51.6b	(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
	50.4b	(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
	59.5b	(pow.f64 (pow.f64 eps 3) 1/3)
✓	23.4b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	25.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))
	54.2b	(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
	59.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
	36.8b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
	46.9b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
	36.4b	(.f64 2 (.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (cos.f64 (/.f64 (+.f64 eps x) 2))))
	30.8b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
	30.6b	(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
	49.8b	(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 x))))
	43.3b	(-.f64 (-.f64 (+.f64 1 (sin.f64 eps)) 1) (sin.f64 x))
	1.5b	(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
	60.1b	(neg.f64 (sin.f64 x))
	30.2b	(.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 -1/2 eps)) (cos.f64 x)))
	36.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	45.1b	(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)
	0.3b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.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)))
	0.3b	(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
	36.2b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	50.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
	38.3b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (sin.f64 eps)))
	60.8b	(+.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) eps)) 1) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	30.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	28.2b	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (fma.f64 -1/2 (.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
	40.3b	(.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
	36.7b	(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
	23.4b	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	26.0b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
	36.7b	(-.f64 (fma.f64 (cos.f64 eps) x (.f64 (+.f64 (.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
	36.3b	(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
	20.4b	(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
✓	30.4b	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
	60.9b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
	24.2b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	30.1b	(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
	45.4b	(.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
	45.7b	(.f64 (.f64 (cos.f64 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
	47.2b	eps
✓	48.3b	(+.f64 eps (.f64 eps (.f64 x (*.f64 -1/2 eps))))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
✓	57.5b	(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
	30.2b	(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (*.f64 eps eps) 1/24)))))
	29.4b	(sin.f64 eps)
	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)))
	30.2b	(+.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) -1/2))) (.f64 eps (cos.f64 x)))
	30.8b	(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (cos.f64 x)))
	47.0b	(.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1)
	50.6b	(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (cos.f64 x)) eps))
	36.8b	(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
	36.3b	(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))

Compiler

Compiled 832 to 583 computations (29.9% saved)

regimes380.0ms (2.7%)

Counts

139 → 1

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	eps
97.0ms	x
62.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
47.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`eps`
0.2b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
0.2b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1748 to 613 computations (64.9% saved)

regimes226.0ms (1.6%)

Counts

98 → 1

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	eps
58.0ms	x
40.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
37.0ms	(-.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 970 to 396 computations (59.2% saved)

regimes267.0ms (1.9%)

Counts

86 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

130.0ms	eps
47.0ms	x
36.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.8b	1	`x`
11.4b	3	`eps`
12.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
12.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 783 to 316 computations (59.6% saved)

bsearch137.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
75.0ms	1.0556431116860713e+37	4.32074551794446e+39
61.0ms	-24.337863054659543	-1.6044258178957098

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes317.0ms (2.3%)

Counts

85 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

151.0ms	eps
46.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
45.0ms	x
35.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.8b	1	`x`
11.4b	3	`eps`
12.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
12.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 770 to 312 computations (59.5% saved)

bsearch107.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.0556431116860713e+37	4.32074551794446e+39
56.0ms	-24.337863054659543	-1.6044258178957098

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes162.0ms (1.2%)

Counts

84 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	x
40.0ms	eps
32.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
28.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.8b	1	`x`
12.8b	1	`eps`
12.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
12.8b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 757 to 309 computations (59.2% saved)

regimes389.0ms (2.8%)

Counts

80 → 3

Calls

Call 1

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

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

Calls

4 calls:

122.0ms	eps
112.0ms	x
70.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
64.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.7b	3	`x`
12.0b	3	`eps`
12.5b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
12.5b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 712 to 295 computations (58.6% saved)

bsearch116.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.0008569044353900222	5.962625102886873
59.0ms	-0.0004093905845400458	-3.029191699827036e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes91.0ms (0.6%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	eps
32.0ms	x
20.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.7b	3	`x`
12.0b	3	`eps`
12.5b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 182 to 93 computations (48.9% saved)

bsearch114.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	0.0008569044353900222	5.962625102886873
57.0ms	-0.0004093905845400458	-3.029191699827036e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes77.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

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

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	eps
27.0ms	x
17.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
12.7b	3	`x`
12.1b	3	`eps`
12.6b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 137 to 70 computations (48.9% saved)

bsearch114.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.0008569044353900222	5.962625102886873
57.0ms	-0.0004093905845400458	-3.029191699827036e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes43.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	eps
19.0ms	x

Results

Error	Segments	Branch
13.1b	3	`x`
12.3b	3	`eps`

Compiler

Compiled 80 to 42 computations (47.5% saved)

bsearch122.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	1.4478825126045238e-27	3.866108660305141e-27
57.0ms	-0.0004093905845400458	-3.029191699827036e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes16.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
29.4b	1	`x`
29.4b	1	`eps`

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes12.0ms (0.1%)

Accuracy

Total -2.8b remaining (-5.9%)

Threshold costs -2.8b (-5.9%)

Counts

7 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
47.2b	1	`x`
47.2b	1	`eps`

Compiler

Compiled 49 to 27 computations (44.9% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	348
1	81	348
2	89	348
3	93	348
4	95	348

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -3425249718248715/140737488355328) (+.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 10556431116860712842650417394184355840) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -3425249718248715/140737488355328) (+.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 10556431116860712842650417394184355840) (fma.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (+.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) -1/2))) (.f64 eps (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 -1/2 eps)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (sin.f64 eps) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(if (<=.f64 eps -3425249718248715/140737488355328) (+.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 10556431116860712842650417394184355840) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -3425249718248715/140737488355328) (+.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 10556431116860712842650417394184355840) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps eps)))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -3425249718248715/140737488355328) (+.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 10556431116860712842650417394184355840) (fma.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (+.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) -1/2))) (.f64 eps (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (.f64 eps (+.f64 (.f64 (sin.f64 x) (*.f64 -1/2 eps)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (sin.f64 eps) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (sin.f64 eps) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 245 to 130 computations (46.9% saved)

soundness190.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

589×	`sub-neg_binary64`
579×	`fma-neg_binary64`
538×	`fma-def_binary64`
486×	`fma-def_binary64`
464×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1080
1	261	1063
2	710	977
3	2290	973
4	3991	973
5	5252	972
6	7312	972
0	82	1018
1	227	995
2	649	949
3	2341	936
4	5438	936
5	7500	936

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 225 to 155 computations (31.1% saved)

end81.0ms (0.6%)

Compiler: Compiled 225 to 75 computations (66.7% saved)

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