Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.8s (63.8%)

Results

2.3s	3551×	body	1024	valid
1.6s	1331×	body	2048	valid
543.0ms	1456×	body	512	valid
182.0ms	1335×	body	128	valid
152.0ms	581×	body	256	valid
6.0ms	2×	body	4096	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

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

36.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	36.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	1.3b	(sin.f64 (+.f64 x eps))

series11.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	173	20
2	2737	20

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

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

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

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-neg_binary64`
328×	`cancel-sign-sub-inv_binary64`
287×	`fma-def_binary64`
282×	`sub-neg_binary64`
271×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	654
1	214	639
2	683	617
3	2629	615

Stop Event

1×	node limit

Counts

225 → 209

Calls

Call 1

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

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

prune163.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	199	10	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	10	210

Error

0.1b

Counts

210 → 10

Alt Table

Status	Error	Program
▶	21.8b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	43.4b	(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	33.4b	(fma.f64 (cos.f64 x) (+.f64 eps (.f64 (pow.f64 eps 3) -1/6)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) -1/2)))
	21.8b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	43.7b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	21.8b	(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	22.4b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	22.4b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	21.8b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	28.2b	(-.f64 (log.f64 (.f64 (exp.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))

Compiler

Compiled 3941 to 1287 computations (67.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	2.8b	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

series41.0ms (0.5%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
4.0ms	eps	@	-inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
3.0ms	eps	@	inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
3.0ms	x	@	inf	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
3.0ms	x	@	inf	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
281×	`fma-def_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
151×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	207	45
2	2728	45

Stop Event

1×	node limit

Counts

3 → 128

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

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

380×	`fma-def_binary64`
373×	`distribute-rgt-neg-in_binary64`
372×	`cancel-sign-sub-inv_binary64`
360×	`distribute-lft-neg-in_binary64`
342×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1178
1	274	1147
2	886	1078
3	3448	1072

Stop Event

1×	node limit

Counts

192 → 175

Calls

Call 1

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

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

prune200.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	225	8	233
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	232	11	243

Error

0.1b

Counts

243 → 11

Alt Table

Status	Error	Program
	28.0b	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))
	43.4b	(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	22.3b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	52.9b	(.f64 (+.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (sin.f64 x))))
	33.4b	(fma.f64 (cos.f64 x) (+.f64 eps (.f64 (pow.f64 eps 3) -1/6)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) -1/2)))
	21.8b	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	22.4b	(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) 2))
	42.7b	(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))))
	23.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))
	24.8b	(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) 2)) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) 3) (pow.f64 (sin.f64 x) 3))))

Compiler

Compiled 5585 to 1521 computations (72.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	0.2b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	2.7b	(+.f64 (cos.f64 eps) -1)

series28.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
3.0ms	x	@	-inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
3.0ms	eps	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
3.0ms	eps	@	-inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
2.0ms	eps	@	0	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1102
1	327	1032
2	1070	986
3	4773	986

Stop Event

1×	node limit

Counts

173 → 157

Calls

Call 1

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

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

prune204.0ms (2.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	181	5	186
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	188	9	197

Error

0.0b

Counts

197 → 9

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
▶	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
	22.4b	(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) 2))
	15.2b	(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
	20.0b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	43.4b	(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	22.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	23.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))
	24.8b	(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) 2)) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) 3) (pow.f64 (sin.f64 x) 3))))

Compiler

Compiled 3970 to 1675 computations (57.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
✓	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	0.2b	(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
✓	0.4b	(+.f64 (cos.f64 eps) 1)

series66.0ms (0.9%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
8.0ms	eps	@	inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
8.0ms	eps	@	-inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
8.0ms	x	@	-inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
5.0ms	x	@	0	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`log1p-udef_binary64`
207×	`expm1-udef_binary64`
175×	`log-pow_binary64`
158×	`fma-def_binary64`
149×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	275	34
2	3600	34

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

398×	`fma-def_binary64`
324×	`distribute-rgt-neg-in_binary64`
315×	`associate-l_binary64`
308×	`associate-r_binary64`
306×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1302
1	316	1254
2	994	1198
3	3952	1198

Stop Event

1×	node limit

Counts

223 → 211

Calls

Call 1

Inputs
2
(-.f64 2 (*.f64 1/2 (pow.f64 eps 2)))
(-.f64 (+.f64 2 (.f64 1/24 (pow.f64 eps 4))) (.f64 1/2 (pow.f64 eps 2)))
(-.f64 (+.f64 2 (.f64 1/24 (pow.f64 eps 4))) (+.f64 (.f64 1/720 (pow.f64 eps 6)) (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(.f64 -1 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/315 (.f64 (pow.f64 eps 8) (sin.f64 x)))) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) x))
(-.f64 (.f64 1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(-.f64 (.f64 1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (.f64 1/120 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7))) (.f64 1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (.f64 1/120 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)))))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) (*.f64 1/3 (pow.f64 eps 4)))
(-.f64 (+.f64 (.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
(-.f64 (+.f64 (.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 1/315 (pow.f64 eps 8))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x)))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps))))
(-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps))))
(-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (+.f64 1 (cos.f64 eps)))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps))))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))

Outputs
2
(-.f64 2 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 2 (.f64 -1/2 (.f64 eps eps)))
(+.f64 2 (.f64 (.f64 eps eps) -1/2))
(fma.f64 (*.f64 eps eps) -1/2 2)
(-.f64 (+.f64 2 (.f64 1/24 (pow.f64 eps 4))) (.f64 1/2 (pow.f64 eps 2)))
(+.f64 2 (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/2 (*.f64 eps eps))))
(+.f64 2 (fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2)))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) -1/2 2))
(-.f64 (+.f64 2 (.f64 1/24 (pow.f64 eps 4))) (+.f64 (.f64 1/720 (pow.f64 eps 6)) (*.f64 1/2 (pow.f64 eps 2))))
(-.f64 (+.f64 2 (.f64 1/24 (pow.f64 eps 4))) (fma.f64 1/720 (pow.f64 eps 6) (.f64 1/2 (*.f64 eps eps))))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) 2) (fma.f64 1/2 (.f64 eps eps) (.f64 1/720 (pow.f64 eps 6))))
(+.f64 (.f64 (pow.f64 eps 6) -1/720) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (.f64 eps eps) -1/2 2)))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(.f64 -1 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(neg.f64 (.f64 (.f64 eps eps) (sin.f64 x)))
(.f64 (.f64 eps eps) (neg.f64 (sin.f64 x)))
(.f64 eps (.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 (.f64 eps eps) (sin.f64 x)))
(.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 eps 4) 1/3) (*.f64 eps eps)))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (fma.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x)) (.f64 (*.f64 eps eps) (sin.f64 x))))
(-.f64 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) 1/3)) (.f64 (sin.f64 x) (fma.f64 eps eps (.f64 (pow.f64 eps 6) 2/45))))
(.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 eps 4) 1/3) (fma.f64 eps eps (*.f64 (pow.f64 eps 6) 2/45))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 1/315 (.f64 (pow.f64 eps 8) (sin.f64 x)))) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (fma.f64 1/3 (.f64 (pow.f64 eps 4) (sin.f64 x)) (.f64 1/315 (.f64 (sin.f64 x) (pow.f64 eps 8)))) (fma.f64 2/45 (.f64 (pow.f64 eps 6) (sin.f64 x)) (.f64 (.f64 eps eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 4) 1/3 (.f64 1/315 (pow.f64 eps 8)))) (.f64 (sin.f64 x) (fma.f64 eps eps (.f64 (pow.f64 eps 6) 2/45))))
(.f64 (sin.f64 x) (-.f64 (fma.f64 (pow.f64 eps 4) 1/3 (.f64 1/315 (pow.f64 eps 8))) (fma.f64 eps eps (*.f64 (pow.f64 eps 6) 2/45))))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) x))
(neg.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)))
(*.f64 x (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(-.f64 (.f64 1/6 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
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(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))

prune265.0ms (3.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	211	9	220

Error

0.0b

Counts

220 → 9

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	0.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
	22.4b	(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) 2))
	15.2b	(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
	20.0b	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
	43.4b	(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	22.3b	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	23.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))
	24.8b	(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) 2)) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) 3) (pow.f64 (sin.f64 x) 3))))

Compiler

Compiled 5249 to 2705 computations (48.5% saved)

regimes1.1s (14.4%)

Accuracy

Total 0.3b remaining (74%)

Threshold costs 0.3b (74%)

Counts

323 → 1

Compiler

Compiled 17446 to 11433 computations (34.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	24	29
2	34	29
3	43	29
4	48	29
5	50	29

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end175.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 321 to 172 computations (46.4% saved)

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

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

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

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

Details

analyze0.0ms (0%)

sample4.8s (63.8%)

preprocess19.0ms (0.3%)

simplify9.0ms (0.1%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series11.0ms (0.1%)

rewrite61.0ms (0.8%)

simplify34.0ms (0.5%)

prune163.0ms (2.2%)

localize13.0ms (0.2%)

series41.0ms (0.5%)

rewrite61.0ms (0.8%)

simplify45.0ms (0.6%)

prune200.0ms (2.7%)

localize11.0ms (0.1%)

series28.0ms (0.4%)

rewrite52.0ms (0.7%)

simplify46.0ms (0.6%)

prune204.0ms (2.7%)

localize13.0ms (0.2%)

series66.0ms (0.9%)

rewrite57.0ms (0.8%)

simplify50.0ms (0.7%)

prune265.0ms (3.5%)

regimes1.1s (14.4%)

simplify3.0ms (0%)

end175.0ms (2.3%)

Profiling

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

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