Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample21.4s (16.1%)

Results

10.7s	3594×	body	1024	valid
6.3s	1259×	body	2048	valid
2.3s	1971×	body	256	valid
2.1s	1431×	body	512	valid
27.0ms	1×	body	4096	valid

Bogosity

preprocess254.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1176×	`rational_best-simplify-66`
1138×	`rational_best-simplify-57`
762×	`rational_best-simplify-53`
758×	`rational_best-simplify-49`
652×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	56	42
3	141	42
4	369	42
5	1429	42
6	6995	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify246.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1594×	`rational_best-simplify-47`
1428×	`rational_best-simplify-56`
1008×	`rational_best-simplify-65`
574×	`rational_best-simplify-53`
542×	`rational_best-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	24	21
2	45	21
3	107	21
4	286	21
5	1030	21
6	5926	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

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

36.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize25.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	4.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series29.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	eps	@	inf	(sin.f64 (+.f64 x eps))
1.0ms	eps	@	inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	eps	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x	@	0	(sin.f64 (+.f64 x eps))
0.0ms	eps	@	0	(sin.f64 (+.f64 x eps))

rewrite765.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`rational_best-simplify-108`
674×	`rational_best-simplify-1`
668×	`rational_best-simplify-85`
644×	`rational_best-simplify-97`
640×	`rational_best-simplify-79`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	71	37
2	228	37
3	807	37
4	4005	37

Stop Event

1×	node limit

Counts

3 → 195

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 (sin.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) 2) (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (.f64 (sin.f64 x) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (/.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2))) (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (sin.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) 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(#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 0) (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 0) 4) (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 0) (/.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 0) (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 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((x /.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 0) (cos.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) -2)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) (cos.f64 0)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 (+.f64 x eps)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) -2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 2 (.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) 2) 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(sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 x) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 4) (*.f64 2 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (sin.f64 x) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (sin.f64 x) 2))) (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (sin.f64 x) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x))))))

simplify898.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-3`
1148×	`rational_best-simplify-55`
1062×	`rational_best-simplify-56`
864×	`rational_best-simplify-1`
690×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	6243
1	1138	5763
2	3483	5633

Stop Event

1×	node limit

Counts

247 → 354

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
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(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))))
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(-.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (+.f64 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) 0) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 x) 1)
(*.f64 (sin.f64 x) (cos.f64 0))
(.f64 (sin.f64 x) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 1 (sin.f64 x))
(*.f64 2 (/.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (cos.f64 0) 2))
(*.f64 (cos.f64 0) (sin.f64 x))
(.f64 1/2 (.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) 1/4)
(.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 0) 4))
(*.f64 (/.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 x))
(.f64 1/4 (.f64 2 (*.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (sin.f64 x) 2)))
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 x) 2))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(/.f64 (sin.f64 x) 1)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) 8)
(/.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) 2)
(/.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (*.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) (cos.f64 0)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 x) 2)) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) 16)
(/.f64 (+.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x))

Outputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) x) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) x) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3)))) (+.f64 (.f64 (cos.f64 eps) x) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/6 (pow.f64 x 3)))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) -1)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))))))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (sin.f64 eps) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6)) (*.f64 x (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 3) (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5))))
(+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 1/120 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (sin.f64 (+.f64 x eps)) 0)
(sin.f64 (+.f64 eps x))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(sin.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(sin.f64 (+.f64 eps x))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 eps x)))))
(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x))))
(+.f64 -1 (-.f64 1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 eps x)))))
(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (sin.f64 (+.f64 x eps)) 2))
(sin.f64 (+.f64 eps x))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) 2) (.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) 2) (/.f64 (sin.f64 (+.f64 eps x)) 2)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (sin.f64 (+.f64 eps x))) 2))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x)))) 2))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(sin.f64 (+.f64 eps x))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (.f64 (sin.f64 x) (cos.f64 eps))) 2))
(sin.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 x) (/.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (.f64 (sin.f64 eps) (cos.f64 x))) 2))
(sin.f64 (+.f64 eps x))
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2))) (.f64 (cos.f64 (/.f64 (+.f64 x eps) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps x) 2)) (+.f64 (cos.f64 (/.f64 (+.f64 eps x) 2)) (cos.f64 (/.f64 (+.f64 eps x) 2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps x) 2)) (+.f64 (sin.f64 (/.f64 (+.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))))
(.f64 2 (.f64 (cos.f64 (/.f64 (+.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))) 1)
(sin.f64 (+.f64 eps x))
(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1)
(sin.f64 (+.f64 eps x))
(-.f64 (sin.f64 (+.f64 x eps)) 0)
(sin.f64 (+.f64 eps x))
(-.f64 0 (neg.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(-.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))))
(sin.f64 (+.f64 eps x))
(-.f64 0 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))) 0))
(sin.f64 (+.f64 eps x))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(sin.f64 (+.f64 eps x))
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(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 2 (/.f64 (sin.f64 x) 2))
(sin.f64 x)
(.f64 2 (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) (*.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (.f64 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 2))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (cos.f64 0) 2))
(sin.f64 x)
(*.f64 (cos.f64 0) (sin.f64 x))
(sin.f64 x)
(.f64 1/2 (.f64 (sin.f64 x) 2))
(sin.f64 x)
(.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) 1/4)
(sin.f64 x)
(.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 0) 4))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 x)
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 x))
(sin.f64 x)
(.f64 1/4 (.f64 2 (*.f64 (sin.f64 x) 2)))
(sin.f64 x)
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 x) 2))
(sin.f64 x)
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (sin.f64 x) 2)))
(sin.f64 x)
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 x) 2))
(sin.f64 x)
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) (*.f64 (cos.f64 0) (+.f64 (cos.f64 0) (cos.f64 0))))
(.f64 (cos.f64 0) (.f64 (cos.f64 0) (.f64 (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 2)))
(.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 0) (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) (*.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (.f64 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 2))
(.f64 2 (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(/.f64 (sin.f64 x) 1)
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(sin.f64 x)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 2)) 4)
(sin.f64 x)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) 8)
(sin.f64 x)
(/.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) 2)
(/.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(sin.f64 x)
(/.f64 (*.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)
(/.f64 (.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) (cos.f64 0)) 4)
(sin.f64 x)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 x) 2)) 4)
(sin.f64 x)
(/.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) 16)
(sin.f64 x)
(/.f64 (+.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2))))) 4)
(/.f64 (+.f64 (sin.f64 x) (cos.f64 (+.f64 x (/.f64 (PI.f64) -2)))) 2)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x))

eval609.0ms (0.5%)

Compiler: Compiled 6412 to 2690 computations (58% saved)

prune524.0ms (0.4%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	324	30	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	31	355

Error

0.1b

Counts

355 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(-.f64 (+.f64 (-.f64 -1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))) 1) (sin.f64 x))
	45.3b	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
	20.5b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	52.5b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	38.1b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	29.2b	(-.f64 (+.f64 -1 (-.f64 1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 x))
▶	45.3b	(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) (sin.f64 x))
	36.8b	(-.f64 (.f64 2 (.f64 (cos.f64 (/.f64 (+.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2)))) (sin.f64 x))
	37.0b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (-.f64 -1 (neg.f64 (sin.f64 x))) 1))
	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	37.0b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 -1 (+.f64 (sin.f64 x) 1)))
✓	36.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	45.9b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	36.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
	58.5b	(-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))) (sin.f64 x))
▶	29.1b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))
	29.1b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 1) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) -1)))
	29.1b	(+.f64 (-.f64 -1 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))) (-.f64 1 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
	29.0b	(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))))
	32.5b	(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
	31.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	20.5b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
▶	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	32.5b	(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
	32.4b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
	32.5b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	32.4b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
	45.2b	(+.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 -1 (sin.f64 x))))
▶	32.5b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 971 to 696 computations (28.3% saved)

localize142.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
✓	0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.2b	(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
✓	1.4b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series11.0ms (0%)

Counts

4 → 60

Calls

21 calls:

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

rewrite433.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`rational_best-4`
1674×	`rational_best-2`
1674×	`rational_best-3`
1674×	`rational_best-1`
1674×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	100	88
2	246	88
3	852	88
4	3800	88

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 eps) (cos.f64 x))
(+.f64 (.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 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (cos.f64 eps) 2) -1/2) (+.f64 (/.f64 (cos.f64 eps) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 eps) 2) (+.f64 -1 (/.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 -1 (.f64 (cos.f64 eps) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 2) (/.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 eps) 2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 eps) 2))))) (#(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 (-.f64 (.f64 (cos.f64 eps) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (cos.f64 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (.f64 (sin.f64 x) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (.f64 (sin.f64 x) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) 16)))) (#(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 +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (cos.f64 (-.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))) 2) (/.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (-.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 2 (.f64 (sin.f64 eps) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.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 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) 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simplify680.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best-simplify-1`
744×	`rational_best-simplify-47`
506×	`rational_best-simplify-57`
474×	`rational_best-simplify-3`
460×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	4604
1	668	4604
2	1737	4474
3	6847	4468

Stop Event

1×	node limit

Counts

144 → 182

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (cos.f64 eps))
(+.f64 (+.f64 (/.f64 (cos.f64 eps) 2) -1/2) (+.f64 (/.f64 (cos.f64 eps) 2) -1/2))
(+.f64 (/.f64 (cos.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) -2) 2))
(+.f64 (/.f64 (cos.f64 eps) 2) (+.f64 -1 (/.f64 (cos.f64 eps) 2)))
(+.f64 -1/2 (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) 2)) 2))
(+.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 2) (/.f64 (cos.f64 eps) 2))
(+.f64 (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) 2)) 2) -1/2)
(+.f64 (+.f64 -1 (/.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 eps) 2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) 1/2)
(.f64 1/2 (-.f64 (.f64 (cos.f64 eps) 2) 2))
(.f64 (.f64 2 (-.f64 (*.f64 (cos.f64 eps) 2) 2)) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (*.f64 (cos.f64 eps) 2) 2)))
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2))) 8)
(/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(neg.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (*.f64 (sin.f64 x) 2))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (.f64 (sin.f64 x) 2)))) 8)
(/.f64 (.f64 (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2)) (.f64 2 (*.f64 (sin.f64 x) 2))) 16)
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (cos.f64 (-.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2)))) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2)))) 2) (/.f64 (sin.f64 (+.f64 eps x)) 2))
(+.f64 (/.f64 (cos.f64 (-.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (/.f64 (cos.f64 (-.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))) 2))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) 2))
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) -1)
(/.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)
(/.f64 (.f64 (sin.f64 eps) (.f64 2 (*.f64 (cos.f64 x) 2))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 eps) 2))) 16)
(/.f64 (.f64 (.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 2)) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2) (/.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))
(-.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2))
(.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) -1)
(.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 2)))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 1)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 2)
(/.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) 4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (.f64 (sin.f64 x) 2)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2))) 8)
(pow.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series28.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(*.f64 (cos.f64 x) eps)
1.0ms	eps	@	0	(*.f64 (cos.f64 x) eps)
1.0ms	eps	@	inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) eps)
0.0ms	x	@	0	(*.f64 (cos.f64 x) eps)

rewrite386.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational_best-1`
1630×	`rational_best-2`
1630×	`rational_best-3`
1626×	`rational_best-4`
1622×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	92	11
3	265	11
4	937	11
5	4465	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 eps 1/2)) (*.f64 (cos.f64 x) (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 x) eps) 4) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps 1/2)) (/.f64 (*.f64 (cos.f64 x) eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 x) eps) 4) (/.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 eps 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 x) eps) 4) (/.f64 (*.f64 (cos.f64 x) (*.f64 eps 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 eps 1/2)) (/.f64 (*.f64 (cos.f64 x) eps) 4)) (/.f64 (*.f64 (cos.f64 x) eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 eps 3)) 2) 2) (/.f64 (*.f64 (cos.f64 x) eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 eps 3)) 4) (/.f64 (*.f64 (cos.f64 x) eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (*.f64 eps 1/2)) (/.f64 (*.f64 (cos.f64 x) eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 eps 1/2)) (/.f64 (*.f64 (cos.f64 x) eps) 4)) (-.f64 0 (/.f64 (*.f64 (cos.f64 x) eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 eps 3)) 2) 2) (/.f64 (/.f64 (*.f64 (cos.f64 x) eps) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 eps 3)) 4) (/.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 eps eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 eps 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 2 (*.f64 eps 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) 4) (*.f64 eps 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 2 (*.f64 eps 4))) (*.f64 (cos.f64 x) (*.f64 2 (*.f64 eps 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) 4) (*.f64 eps 4)) (*.f64 (*.f64 (cos.f64 x) 4) (*.f64 eps 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 x) 4)) (*.f64 2 (*.f64 eps 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cos.f64 0)) (*.f64 (cos.f64 x) (*.f64 2 (*.f64 eps 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1)))))

simplify265.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best-simplify-48`
916×	`rational_best-simplify-47`
898×	`rational_best-simplify-52`
816×	`rational_best-simplify-63`
768×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	490
1	219	484
2	561	478
3	1614	466

Stop Event

1×	node limit

Counts

32 → 41

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) 0)
(+.f64 0 (*.f64 (cos.f64 x) eps))
(+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (.f64 (cos.f64 x) (.f64 eps 1/2)))
(+.f64 (/.f64 (.f64 (cos.f64 x) eps) 4) (+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (.f64 (cos.f64 x) eps) 4)))
(+.f64 (/.f64 (.f64 (cos.f64 x) eps) 4) (/.f64 (/.f64 (.f64 (cos.f64 x) (*.f64 eps 3)) 2) 2))
(+.f64 (/.f64 (.f64 (cos.f64 x) eps) 4) (/.f64 (.f64 (cos.f64 x) (*.f64 eps 3)) 4))
(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (.f64 (cos.f64 x) eps) 4)) (/.f64 (.f64 (cos.f64 x) eps) 4))
(+.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 2) 2) (/.f64 (*.f64 (cos.f64 x) eps) 4))
(+.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (*.f64 (cos.f64 x) eps) 4))
(-.f64 (*.f64 (cos.f64 x) eps) 0)
(-.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (*.f64 (cos.f64 x) eps) -2))
(-.f64 (+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (.f64 (cos.f64 x) eps) 4)) (-.f64 0 (/.f64 (.f64 (cos.f64 x) eps) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 2) 2) (/.f64 (/.f64 (*.f64 (cos.f64 x) eps) -2) 2))
(-.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) 4))
(/.f64 (*.f64 (cos.f64 x) eps) 1)
(/.f64 (*.f64 (cos.f64 x) (+.f64 eps eps)) 2)
(/.f64 (.f64 (cos.f64 x) (.f64 eps 4)) 4)
(/.f64 (.f64 (cos.f64 x) (.f64 2 (*.f64 eps 4))) 8)
(/.f64 (.f64 (.f64 (cos.f64 x) 4) (*.f64 eps 4)) 16)
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 2 (.f64 eps 4))) (.f64 (cos.f64 x) (.f64 2 (.f64 eps 4)))) 16)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) 4) (.f64 eps 4)) (.f64 (.f64 (cos.f64 x) 4) (.f64 eps 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 4)) (.f64 2 (*.f64 eps 4))) 64)
(/.f64 (.f64 (.f64 2 (cos.f64 0)) (.f64 (cos.f64 x) (.f64 2 (*.f64 eps 4)))) 16)
(pow.f64 (*.f64 (cos.f64 x) eps) 1)

Outputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 2) (.f64 eps -1/2)) (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) (+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 eps (.f64 1/24 (pow.f64 x 4)))))
(+.f64 eps (.f64 eps (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 eps -1/2)) (.f64 (pow.f64 x 4) (.f64 eps 1/24))) (+.f64 eps (.f64 (pow.f64 x 6) (.f64 eps -1/720))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) (+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))) (.f64 (pow.f64 x 6) (.f64 eps -1/720)))
(+.f64 eps (+.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 eps (.f64 1/24 (pow.f64 x 4)))) (.f64 -1/720 (.f64 eps (pow.f64 x 6)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 2) (.f64 eps -1/2)) (.f64 eps (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) 0)
(*.f64 eps (cos.f64 x))
(+.f64 0 (*.f64 (cos.f64 x) eps))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (.f64 (cos.f64 x) (.f64 eps 1/2)))
(*.f64 eps (cos.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) eps) 4) (+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (.f64 (cos.f64 x) eps) 4)))
(*.f64 eps (cos.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) eps) 4) (/.f64 (/.f64 (.f64 (cos.f64 x) (*.f64 eps 3)) 2) 2))
(*.f64 eps (cos.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) eps) 4) (/.f64 (.f64 (cos.f64 x) (*.f64 eps 3)) 4))
(*.f64 eps (cos.f64 x))
(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (.f64 (cos.f64 x) eps) 4)) (/.f64 (.f64 (cos.f64 x) eps) 4))
(*.f64 eps (cos.f64 x))
(+.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 2) 2) (/.f64 (*.f64 (cos.f64 x) eps) 4))
(*.f64 eps (cos.f64 x))
(+.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (*.f64 (cos.f64 x) eps) 4))
(*.f64 eps (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) eps) 0)
(*.f64 eps (cos.f64 x))
(-.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (*.f64 (cos.f64 x) eps) -2))
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (.f64 eps 1/2)) (/.f64 (.f64 (cos.f64 x) eps) 4)) (-.f64 0 (/.f64 (.f64 (cos.f64 x) eps) 4)))
(*.f64 eps (cos.f64 x))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 2) 2) (/.f64 (/.f64 (*.f64 (cos.f64 x) eps) -2) 2))
(*.f64 eps (cos.f64 x))
(-.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) 4))
(*.f64 eps (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (+.f64 eps eps)) 2)
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 (cos.f64 x) (.f64 eps 4)) 4)
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 (cos.f64 x) (.f64 2 (*.f64 eps 4))) 8)
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 (.f64 (cos.f64 x) 4) (*.f64 eps 4)) 16)
(*.f64 eps (cos.f64 x))
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 2 (.f64 eps 4))) (.f64 (cos.f64 x) (.f64 2 (.f64 eps 4)))) 16)
(*.f64 eps (cos.f64 x))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) 4) (.f64 eps 4)) (.f64 (.f64 (cos.f64 x) 4) (.f64 eps 4))) 32)
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 4)) (.f64 2 (*.f64 eps 4))) 64)
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 (.f64 2 (cos.f64 0)) (.f64 (cos.f64 x) (.f64 2 (*.f64 eps 4)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 eps 4)) (.f64 (cos.f64 x) (*.f64 2 (cos.f64 0)))) 16)
(/.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 8) (.f64 2 (cos.f64 0)))) 16)
(/.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 0) (*.f64 eps 16))) 16)
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))

localize107.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1 (sin.f64 (+.f64 eps x)))
✓	2.6b	(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x))))
✓	4.8b	(sin.f64 (+.f64 eps x))
✓	9.6b	(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) (sin.f64 x))

Compiler

Compiled 40 to 18 computations (55% saved)

series4.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite556.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`rational_best-simplify-85`
722×	`rational_best-simplify-1`
640×	`rational_best-simplify-79`
580×	`rational_best-simplify-62`
534×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	98	60
2	267	60
3	922	60
4	5022	60

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

Inputs
(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) (sin.f64 x))
(sin.f64 (+.f64 eps x))
(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x))))
(+.f64 1 (sin.f64 (+.f64 eps x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (sin.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 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 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 -1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) (+.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) 2) (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (sin.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 1 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sin.f64 x) -1)) (neg.f64 (neg.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) 2) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x)) (+.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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((x .f64 1/2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 2 (.f64 (sin.f64 (+.f64 eps x)) 2)) (+.f64 (.f64 (sin.f64 (+.f64 eps x)) 2) (.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 eps x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) 2) (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (+.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) -1) (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) -1) (+.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 eps x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2) (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (.f64 (sin.f64 x) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) -1) (+.f64 (+.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (+.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))) (.f64 (cos.f64 (/.f64 (+.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 1 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 eps x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 eps x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) (+.f64 1 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 eps x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (+.f64 1 (sin.f64 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) 1) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2) (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))))))

simplify774.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1070×	`rational_best-simplify-67`
1046×	`rational_best-simplify-56`
820×	`rational_best-simplify-64`
772×	`rational_best-simplify-50`
612×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	14650
1	1207	14612
2	3252	14422

Stop Event

1×	node limit

Counts

390 → 364

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(+.f64 1 (sin.f64 x))
(+.f64 1 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(+.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(+.f64 1 (sin.f64 eps))
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 1 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps)))))
(+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(+.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (sin.f64 x) -1)))
(+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 1 (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 -1 (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 0)
(+.f64 0 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) (+.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 eps x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (sin.f64 x) -1)) -1)
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (sin.f64 x) 2)))
(+.f64 (neg.f64 (+.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))))
(+.f64 (neg.f64 (+.f64 (sin.f64 x) -1)) (neg.f64 (neg.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))))))
(+.f64 (neg.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
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(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2))))) 4)
(pow.f64 (sin.f64 (+.f64 eps x)) 1)
(neg.f64 (neg.f64 (sin.f64 (+.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(-.f64 (sin.f64 (+.f64 eps x)) -1)
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 0 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))) 0))
(-.f64 2 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))) 1))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 0))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) -2)
(-.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) (+.f64 1 (sin.f64 (+.f64 eps x))))
(-.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (+.f64 (sin.f64 (+.f64 eps x)) 2) 1)
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (+.f64 1 (sin.f64 (+.f64 eps x)))) 2))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) 1) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps))))
(-.f64 (+.f64 (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2) (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2)) -2)
(*.f64 1 (+.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)
(.f64 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2))
(.f64 (.f64 2 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) 1/4)
(.f64 1/4 (.f64 2 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)))
(/.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2))) 8)
(pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))

Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 -1 (cos.f64 eps)))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 -1 (cos.f64 eps))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 x (+.f64 -1 (cos.f64 eps))))))
(+.f64 (.f64 x (+.f64 -1 (cos.f64 eps))) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 -1 (cos.f64 eps))) (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) -1)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (sin.f64 x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (cos.f64 eps)) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (*.f64 x (cos.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3)))) (+.f64 (.f64 x (cos.f64 eps)) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 x (cos.f64 eps)) (+.f64 (sin.f64 eps) (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) -1)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (sin.f64 x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (cos.f64 eps)) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
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(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (cos.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))) (.f64 (cos.f64 x) (*.f64 2 (sin.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64))))) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))) (cos.f64 (+.f64 x (-.f64 (*.f64 1/2 (PI.f64)) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))) (cos.f64 (+.f64 x (-.f64 (*.f64 1/2 (PI.f64)) eps))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (+.f64 eps x) (.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (+.f64 x eps) (.f64 1/2 (PI.f64)))))) 4)
(pow.f64 (sin.f64 (+.f64 eps x)) 1)
(sin.f64 (+.f64 x eps))
(neg.f64 (neg.f64 (sin.f64 (+.f64 eps x))))
(sin.f64 (+.f64 x eps))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))
(sin.f64 (+.f64 x eps))
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 eps x)) -1)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 0)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 0 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))) 0))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 2 (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))) 1))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 -1 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))) 1)
(-.f64 1 (-.f64 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps)))) 1)
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 0))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) -2)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (+.f64 1 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 -1 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))) 1)
(-.f64 1 (-.f64 (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) (+.f64 1 (sin.f64 (+.f64 eps x))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))))))
(-.f64 (.f64 2 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 -1 (.f64 (cos.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 2 (cos.f64 eps)) (cos.f64 eps))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (+.f64 (sin.f64 (+.f64 eps x)) 2) 1)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps)))) 1)
(-.f64 (+.f64 1/2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (+.f64 1 (sin.f64 (+.f64 eps x)))) 2))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps)))) 1)
(-.f64 1 (-.f64 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps))) (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) 1) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps)))) 1)
(-.f64 1 (-.f64 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 x) eps))) (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps)))))
(-.f64 (+.f64 (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2) (/.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) 2)) -2)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (+.f64 1 (sin.f64 (+.f64 eps x))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(.f64 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) 1/2)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(.f64 1/2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(.f64 (.f64 2 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) 1/4)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(.f64 1/4 (.f64 2 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)))
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(/.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2) 2)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(/.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) 4)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2)) (.f64 2 (.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 2))) 8)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1)
(+.f64 (sin.f64 (+.f64 x eps)) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (sin.f64 (+.f64 x eps)) 1)

localize90.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (PI.f64) 1/2) x)
✓	2.3b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	4.8b	(sin.f64 (+.f64 x eps))
✓	29.7b	(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x))

Compiler

Compiled 38 to 20 computations (47.4% saved)

series21.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	eps	@	inf	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
1.0ms	x	@	0	(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x))
1.0ms	x	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
0.0ms	eps	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
0.0ms	x	@	inf	(-.f64 (*.f64 (PI.f64) 1/2) x)

rewrite360.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rational_best-simplify-79`
812×	`rational_best-simplify-97`
788×	`rational_best-simplify-85`
708×	`rational_best-simplify-62`
696×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	99	69
2	263	41
3	929	41
4	4482	41

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) 2) (/.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) 2) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) 2) (neg.f64 (/.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) 2) (/.f64 (neg.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (+.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))) (*.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (+.f64 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 x (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) x) (neg.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) 2) (/.f64 (-.f64 (PI.f64) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 4) x) (/.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (-.f64 1 (neg.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 0)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 2)) (-.f64 1 (+.f64 -1 (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 4)) (-.f64 1 (+.f64 -1 (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (PI.f64) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (PI.f64) 2) (+.f64 (PI.f64) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 (PI.f64) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (PI.f64) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 (PI.f64) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (PI.f64) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))) (*.f64 2 (-.f64 (PI.f64) (+.f64 x x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))))))

simplify598.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best-simplify-48`
996×	`rational_best-simplify-50`
946×	`rational_best-simplify-52`
842×	`rational_best-simplify-57`
794×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	6359
1	969	5753
2	2604	5625

Stop Event

1×	node limit

Counts

209 → 285

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) x))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 2)))))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 3))) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (pow.f64 x 2))))))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(-.f64 (sin.f64 eps) (cos.f64 (*.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 -1 (sin.f64 (.f64 1/2 (PI.f64))))) x) (sin.f64 eps)) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 -1/2 (cos.f64 (.f64 1/2 (PI.f64))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 -1 (sin.f64 (.f64 1/2 (PI.f64))))) x) (sin.f64 eps))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 1/6 (sin.f64 (.f64 1/2 (PI.f64))))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 -1/2 (cos.f64 (.f64 1/2 (PI.f64))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 -1 (sin.f64 (.f64 1/2 (PI.f64))))) x) (sin.f64 eps)))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (+.f64 (.f64 -1 x) (*.f64 1/2 (PI.f64)))))
(-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (+.f64 (.f64 -1 x) (*.f64 1/2 (PI.f64)))))
(-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (+.f64 (.f64 -1 x) (*.f64 1/2 (PI.f64)))))
(-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (+.f64 (.f64 -1 x) (*.f64 1/2 (PI.f64)))))
(-.f64 (sin.f64 x) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))
(*.f64 1/2 (PI.f64))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64)))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
(+.f64 (/.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (sin.f64 x) 2) (/.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))) 2))
(+.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 (+.f64 x eps))))
(+.f64 (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) (.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(+.f64 (-.f64 -1 (neg.f64 (sin.f64 x))) 1)
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) 2) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) 2) (neg.f64 (/.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 x) 2) (/.f64 (neg.f64 (sin.f64 x)) 2))
(-.f64 (.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (+.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2))) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))) (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2))) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))))
(-.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (+.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) 0) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(.f64 1/2 (.f64 (sin.f64 x) 2))
(.f64 1/2 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))))
(*.f64 (sin.f64 x) 1)
(*.f64 (sin.f64 x) (cos.f64 0))
(.f64 (sin.f64 x) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 1 (sin.f64 x))
(*.f64 2 (/.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (neg.f64 (sin.f64 x)) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (cos.f64 0) 2))
(*.f64 (cos.f64 0) (sin.f64 x))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 (cos.f64 0) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))))
(.f64 1/4 (.f64 2 (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) 1/4)
(.f64 (.f64 2 (*.f64 (sin.f64 x) 2)) (/.f64 (cos.f64 0) 4))
(*.f64 (/.f64 (sin.f64 x) 2) 2)
(*.f64 (/.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) 1/2)
(.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (/.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 x))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 (sin.f64 x) 2)))
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 x) 2))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (cos.f64 0) (*.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(.f64 (-.f64 (.f64 (sin.f64 x) -2) 0) (-.f64 0 (/.f64 (cos.f64 0) 2)))
(*.f64 (+.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 0) 2)) (sin.f64 x))
(/.f64 (sin.f64 x) 1)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 2)) 4)
(/.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) 8)
(/.f64 (+.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) 4)
(/.f64 (-.f64 (.f64 (sin.f64 x) 2) (-.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))) (sin.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))) (sin.f64 x))) 2)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 0) (cos.f64 0))) 16)
(/.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) 2) (-.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))) (sin.f64 x))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (-.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))) (sin.f64 x))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 x) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))))) (cos.f64 0)) 4)
(/.f64 (.f64 (+.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 x) 2)) (cos.f64 0)) 4)
(/.f64 (.f64 (+.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))))) (cos.f64 0)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (.f64 (sin.f64 x) 2) (-.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))) (sin.f64 x)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (-.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))) (sin.f64 x)))) 4)
(/.f64 (.f64 (cos.f64 0) (+.f64 (.f64 (sin.f64 x) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (cos.f64 0) (+.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 x) 2))) 4)
(/.f64 (.f64 (cos.f64 0) (+.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 x) 2)))) 16)
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 -1 (-.f64 1 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(+.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 x eps))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (sin.f64 x) 2)))
(+.f64 (neg.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) 2))
(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) 2))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) 1)
(+.f64 (-.f64 -1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 1 (sin.f64 x)))
(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 1 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 1 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 0)) (-.f64 1 (sin.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))) (-.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 1 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))) (-.f64 1 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))
(.f64 1/2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(.f64 1/2 (-.f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) 2))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (cos.f64 0))
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) -1)
(.f64 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) 1/2)
(*.f64 (cos.f64 0) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 -1 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(.f64 1/4 (.f64 2 (*.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(.f64 (.f64 2 (*.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) 1/4)
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(/.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) -1)
(/.f64 (*.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) 2)
(/.f64 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) 8)
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))) (sin.f64 x)) (.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (-.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))) (sin.f64 x)) (*.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) 4)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 0)
(+.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (PI.f64) 1/2))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 -1 (-.f64 1 (-.f64 x (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (PI.f64) x) (neg.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))
(+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (-.f64 (PI.f64) x) 2))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) x) (/.f64 (PI.f64) 4))
(+.f64 (-.f64 -1 x) (-.f64 1 (neg.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 -1 (neg.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 x))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 0)) (-.f64 1 x))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 2)) (-.f64 1 x))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 2)) (-.f64 1 (+.f64 -1 (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) x)))))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 4)) (-.f64 1 (+.f64 -1 (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) x)))))
(*.f64 1/2 (-.f64 (PI.f64) (+.f64 x x)))
(.f64 1/2 (-.f64 (.f64 (PI.f64) 2) (+.f64 (PI.f64) (+.f64 x x))))
(.f64 (-.f64 (.f64 (PI.f64) 1/2) x) 1)
(.f64 1 (-.f64 (.f64 (PI.f64) 1/2) x))
(.f64 (-.f64 x (.f64 (PI.f64) 1/2)) -1)
(*.f64 (-.f64 (PI.f64) (+.f64 x x)) 1/2)
(.f64 -1 (-.f64 x (.f64 (PI.f64) 1/2)))
(.f64 1/4 (.f64 2 (-.f64 (PI.f64) (+.f64 x x))))
(.f64 (.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 1/4)
(/.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)
(/.f64 (-.f64 x (*.f64 (PI.f64) 1/2)) -1)
(/.f64 (-.f64 (PI.f64) (+.f64 x x)) 2)
(/.f64 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (PI.f64) (+.f64 x x))) (.f64 2 (-.f64 (PI.f64) (+.f64 x x)))) 8)
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)
(neg.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))

Outputs
(cos.f64 (*.f64 1/2 (PI.f64)))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) x))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 2))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x)))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (pow.f64 x 2) -1/2))))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 3))) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 2))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (pow.f64 x 3)))) (+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (sin.f64 (*.f64 1/2 (PI.f64))) x)))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (+.f64 (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 (pow.f64 x 2) -1/2)) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (*.f64 (pow.f64 x 3) -1/6)))))
(+.f64 (cos.f64 (.f64 1/2 (PI.f64))) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (PI.f64))) x) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) (*.f64 -1/6 (pow.f64 x 3)))))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(cos.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
(-.f64 (sin.f64 eps) (cos.f64 (*.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 -1 (sin.f64 (.f64 1/2 (PI.f64))))) x) (sin.f64 eps)) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) -1)))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (neg.f64 (sin.f64 (.f64 1/2 (PI.f64))))))) (cos.f64 (*.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 -1/2 (cos.f64 (.f64 1/2 (PI.f64))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 -1 (sin.f64 (.f64 1/2 (PI.f64))))) x) (sin.f64 eps))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) -1))) (.f64 (pow.f64 x 2) (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) -1/2))))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) (neg.f64 (sin.f64 (.f64 1/2 (PI.f64)))))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 -1/2 (-.f64 (sin.f64 eps) (cos.f64 (.f64 1/2 (PI.f64)))))))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) (neg.f64 (sin.f64 (.f64 1/2 (PI.f64)))))) (.f64 (-.f64 (sin.f64 eps) (cos.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/2 (pow.f64 x 2))))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 1/6 (sin.f64 (.f64 1/2 (PI.f64))))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 -1/2 (cos.f64 (.f64 1/2 (PI.f64))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 -1 (sin.f64 (.f64 1/2 (PI.f64))))) x) (sin.f64 eps)))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) -1)))) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -1/2 (sin.f64 eps)) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) -1/2))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) 1/6))))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) (neg.f64 (sin.f64 (.f64 1/2 (PI.f64)))))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 -1/2 (-.f64 (sin.f64 eps) (cos.f64 (.f64 1/2 (PI.f64)))))))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) 1/6)))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (neg.f64 (sin.f64 (.f64 1/2 (PI.f64))))))) (+.f64 (.f64 (-.f64 (sin.f64 eps) (cos.f64 (.f64 1/2 (PI.f64)))) (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) (.f64 (sin.f64 (.f64 1/2 (PI.f64))) 1/6))))) (cos.f64 (.f64 1/2 (PI.f64))))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (+.f64 (.f64 -1 x) (*.f64 1/2 (PI.f64)))))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)))
(-.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (+.f64 (.f64 -1 x) (*.f64 1/2 (PI.f64)))))
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(/.f64 (+.f64 (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (.f64 2 (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) 8)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) 2)
(/.f64 (-.f64 (.f64 2 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 1/2 (PI.f64)))))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))) (sin.f64 x)) (.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x (.f64 1/2 (PI.f64)))) (+.f64 (.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x (.f64 1/2 (PI.f64)))) (+.f64 (sin.f64 x) (.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) 2)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 -2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) 4)
(/.f64 (.f64 -4 (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (cos.f64 0))) 4)
(/.f64 (.f64 (cos.f64 0) (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) -4)) 4)
(/.f64 (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (.f64 -4 (cos.f64 0))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (.f64 2 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (-.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))) (sin.f64 x)) (*.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (cos.f64 (-.f64 x (.f64 1/2 (PI.f64)))) (+.f64 (*.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (sin.f64 x)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (cos.f64 (-.f64 x (.f64 1/2 (PI.f64)))) (+.f64 (sin.f64 x) (*.f64 2 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))) 4)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 0)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) x))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 x))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 (neg.f64 x) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 -1 (-.f64 1 (-.f64 x (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 (-.f64 (PI.f64) x) (neg.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (PI.f64) (+.f64 x (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (PI.f64) -1/2) (-.f64 (PI.f64) x))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))
(-.f64 (/.f64 (PI.f64) 2) x)
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (-.f64 (PI.f64) x) 2))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))
(-.f64 (/.f64 (PI.f64) 2) x)
(+.f64 (-.f64 (/.f64 (PI.f64) 4) x) (/.f64 (PI.f64) 4))
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) x))
(+.f64 (-.f64 -1 x) (-.f64 1 (neg.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 -1 x) (-.f64 1 (neg.f64 (*.f64 1/2 (PI.f64)))))
(+.f64 (-.f64 -1 x) (-.f64 (*.f64 1/2 (PI.f64)) -1))
(+.f64 (-.f64 -1 x) (+.f64 (*.f64 1/2 (PI.f64)) 1))
(+.f64 (-.f64 -1 (neg.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 x))
(+.f64 (-.f64 -1 (neg.f64 (*.f64 1/2 (PI.f64)))) (-.f64 1 x))
(+.f64 (+.f64 -1 (*.f64 1/2 (PI.f64))) (-.f64 1 x))
(+.f64 (-.f64 -1 (+.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 0)) (-.f64 1 x))
(+.f64 (-.f64 -1 (neg.f64 (*.f64 1/2 (PI.f64)))) (-.f64 1 x))
(+.f64 (+.f64 -1 (*.f64 1/2 (PI.f64))) (-.f64 1 x))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 2)) (-.f64 1 x))
(+.f64 (-.f64 1 x) (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 2)))
(+.f64 (-.f64 1 x) (-.f64 -1 (/.f64 (PI.f64) -2)))
(+.f64 (-.f64 1 x) (-.f64 (/.f64 (PI.f64) 2) 1))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 2)) (-.f64 1 (+.f64 -1 (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) x)))))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (*.f64 1/2 (PI.f64))) 2)) (+.f64 2 (neg.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 4) 1)))))
(+.f64 (-.f64 -1 (/.f64 (*.f64 1/2 (PI.f64)) -2)) (+.f64 2 (neg.f64 (-.f64 x (+.f64 (/.f64 (PI.f64) 4) -1)))))
(+.f64 (-.f64 -1 (/.f64 (*.f64 1/2 (PI.f64)) -2)) (+.f64 2 (-.f64 (-.f64 (/.f64 (PI.f64) 4) x) 1)))
(+.f64 (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 4)) (-.f64 1 (+.f64 -1 (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) x)))))
(+.f64 (+.f64 2 (neg.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 4) 1)))) (-.f64 -1 (/.f64 (neg.f64 (PI.f64)) 4)))
(+.f64 (+.f64 2 (neg.f64 (-.f64 x (+.f64 (/.f64 (PI.f64) 4) -1)))) (-.f64 -1 (/.f64 (PI.f64) -4)))
(+.f64 (+.f64 2 (-.f64 (-.f64 (/.f64 (PI.f64) 4) x) 1)) (+.f64 -1 (/.f64 (PI.f64) 4)))
(*.f64 1/2 (-.f64 (PI.f64) (+.f64 x x)))
(.f64 1/2 (-.f64 (.f64 (PI.f64) 2) (+.f64 (PI.f64) (+.f64 x x))))
(.f64 1/2 (+.f64 (-.f64 (.f64 (PI.f64) 2) (PI.f64)) (*.f64 x -2)))
(.f64 1/2 (-.f64 (.f64 (PI.f64) 2) (+.f64 x (+.f64 (PI.f64) x))))
(.f64 (-.f64 (.f64 (PI.f64) 1/2) x) 1)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(.f64 1 (-.f64 (.f64 (PI.f64) 1/2) x))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(.f64 (-.f64 x (.f64 (PI.f64) 1/2)) -1)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(*.f64 (-.f64 (PI.f64) (+.f64 x x)) 1/2)
(*.f64 1/2 (-.f64 (PI.f64) (+.f64 x x)))
(.f64 -1 (-.f64 x (.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(.f64 1/4 (.f64 2 (-.f64 (PI.f64) (+.f64 x x))))
(*.f64 1/2 (-.f64 (PI.f64) (+.f64 x x)))
(.f64 (.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 1/4)
(*.f64 1/2 (-.f64 (PI.f64) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(/.f64 (-.f64 x (*.f64 (PI.f64) 1/2)) -1)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(/.f64 (-.f64 (PI.f64) (+.f64 x x)) 2)
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 x 2)))
(-.f64 (/.f64 (PI.f64) 2) x)
(/.f64 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (PI.f64) (+.f64 x x))) (.f64 2 (-.f64 (PI.f64) (+.f64 x x)))) 8)
(/.f64 (*.f64 2 (-.f64 (PI.f64) (+.f64 x x))) 4)
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) 1)
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)
(neg.f64 (-.f64 x (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 x))
(-.f64 (*.f64 1/2 (PI.f64)) x)

localize112.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1)
✓	0.3b	(+.f64 (sin.f64 x) 1)
✓	0.3b	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1))
✓	3.5b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))

Compiler

Compiled 63 to 23 computations (63.5% saved)

series48.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))
1.0ms	x	@	inf	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))
1.0ms	eps	@	inf	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))
1.0ms	eps	@	-inf	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))
0.0ms	eps	@	0	(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) 1)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) -1))

rewrite540.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`rational_best-simplify-1`
844×	`rational_best-simplify-64`
826×	`rational_best-simplify-62`
740×	`rational_best-simplify-47`
538×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	120
1	120	120
2	298	120
3	1204	108
4	6778	104

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (sin.f64 x) 1) (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (+.f64 (sin.f64 x) 1) (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 1 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 -1 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 -1 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) -2) (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (sin.f64 x) 1) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 1 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 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x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 x)) (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 x)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 1 (.f64 (cos.f64 x) (sin.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (cos.f64 x) (sin.f64 0)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 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(cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))) (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (.f64 (cos.f64 x) (sin.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) (+.f64 -1 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) 1) (neg.f64 (.f64 (cos.f64 x) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) 1) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sin.f64 x) 2)) (/.f64 (-.f64 -1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) 1) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sin.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (sin.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (sin.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sin.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (+.f64 1 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (/.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 1/2 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))))))

simplify623.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

922×	`rational_best-simplify-64`
838×	`rational_best-simplify-65`
626×	`rational_best-simplify-75`
616×	`rational_best-simplify-56`
568×	`rational_best-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	8486
1	1251	8378
2	3336	8066

Stop Event

1×	node limit

Counts

264 → 328

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 -1 (+.f64 1 (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1 (+.f64 1 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1 (+.f64 1 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.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 (+.f64 1 (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (sin.f64 eps) 1)
(-.f64 (+.f64 (*.f64 -1 x) (sin.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (sin.f64 eps)))) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
1
(+.f64 1 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 1 (sin.f64 x))
(+.f64 1 (sin.f64 x))
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(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (-.f64 (sin.f64 eps) (sin.f64 0))) -1))
(+.f64 (-.f64 -1 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 -1 (sin.f64 x)) (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 2) (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 2))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (sin.f64 x) 1)))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps))) 2) (-.f64 -1 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) 2) (-.f64 -1 (sin.f64 x))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (sin.f64 x) 1)) (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1/2 (/.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1/2 (/.f64 (sin.f64 x) 2))))
(+.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (cos.f64 x) (sin.f64 0))) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (-.f64 -1 (sin.f64 x)) 2) (/.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2))) 2))
(+.f64 -1/2 (/.f64 (+.f64 -1 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 2)) 2))
(+.f64 (/.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 2) (/.f64 (+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) -2) 2))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (+.f64 (neg.f64 (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)) 2))
(+.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (sin.f64 x) 1)) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2))
(+.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) -1) (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 x)) (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) -1))
(+.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 x)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 0)))))
(.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))))
(.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)
(.f64 -1 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(.f64 -1 (-.f64 (.f64 (cos.f64 x) (sin.f64 0)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x)))))
(.f64 (-.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) -1)
(.f64 (-.f64 -2 (.f64 -2 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) 1/2)
(.f64 1/2 (-.f64 -2 (.f64 -2 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (+.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (sin.f64 x) 2) -2))))
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (+.f64 (-.f64 (.f64 (sin.f64 x) 2) -2) (.f64 (sin.f64 eps) (*.f64 (cos.f64 x) 2)))))
(.f64 (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))) 1/4)
(.f64 1/4 (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)
(/.f64 (-.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))) 2)
(/.f64 (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))) (.f64 2 (-.f64 -2 (.f64 -2 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))) 8)
(pow.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)
(neg.f64 (-.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(-.f64 (sin.f64 x) -1)
(-.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0)))))
(-.f64 (sin.f64 x) (+.f64 -1 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) x)))))
(-.f64 (+.f64 (sin.f64 x) 1) 0)
(-.f64 (+.f64 (sin.f64 x) 1) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0))))
(-.f64 (+.f64 (sin.f64 x) 1) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) x))))
(-.f64 0 (-.f64 -1 (sin.f64 x)))
(-.f64 (+.f64 1/2 (/.f64 (sin.f64 x) 2)) (/.f64 (-.f64 -1 (sin.f64 x)) 2))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) 1) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))))
(*.f64 1 (+.f64 (sin.f64 x) 1))
(*.f64 (+.f64 (sin.f64 x) 1) 1)
(*.f64 (-.f64 -1 (sin.f64 x)) -1)
(.f64 (-.f64 (.f64 (sin.f64 x) 2) -2) 1/2)
(.f64 1/2 (-.f64 (.f64 (sin.f64 x) 2) -2))
(.f64 (.f64 2 (-.f64 (*.f64 (sin.f64 x) 2) -2)) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (*.f64 (sin.f64 x) 2) -2)))
(/.f64 (+.f64 (sin.f64 x) 1) 1)
(/.f64 (-.f64 -1 (sin.f64 x)) -1)
(/.f64 (-.f64 (*.f64 (sin.f64 x) 2) -2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2))) 8)
(pow.f64 (+.f64 (sin.f64 x) 1) 1)
(neg.f64 (-.f64 -1 (sin.f64 x)))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) 0)
(+.f64 0 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 1/2 (/.f64 (+.f64 1 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2))) 2))
(+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (/.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) 2))
(+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) 1))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2)))) 2) 1))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) 1))
(+.f64 (+.f64 1/2 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 1/2 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(.f64 1 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))))
(.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1)
(.f64 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) -1)
(.f64 (-.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2)) -2) 1/2)
(.f64 1/2 (-.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2)) -2))
(.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)))
(/.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)
(/.f64 (-.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1)
(/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2)) -2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2))) 8)
(pow.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)
(neg.f64 (-.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))))

Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (*.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) -1))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 x (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1 (+.f64 1 (sin.f64 x)))
(*.f64 -1 (+.f64 (sin.f64 x) 1))
(neg.f64 (+.f64 (sin.f64 x) 1))
(-.f64 -1 (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1 (+.f64 1 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1 (+.f64 (sin.f64 x) 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (neg.f64 (+.f64 (sin.f64 x) 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (-.f64 -1 (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1 (+.f64 1 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (.f64 -1 (+.f64 (sin.f64 x) 1))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (neg.f64 (+.f64 (sin.f64 x) 1))))
(+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.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 (+.f64 1 (sin.f64 x))))))
(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (.f64 -1 (+.f64 (sin.f64 x) 1))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 5) 1/120)) (.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (+.f64 (neg.f64 (+.f64 (sin.f64 x) 1)) (.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5))))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/6)) (-.f64 -1 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 1/120 (pow.f64 eps 5)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 -1 (sin.f64 x)))
(+.f64 -1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
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1
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1
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(/.f64 (.f64 2 (-.f64 -2 (.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) -2))) 4)
(pow.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 -1 (sin.f64 x))) 1)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 -1 (sin.f64 x)))
(+.f64 -1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(neg.f64 (-.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 -1 (sin.f64 x)))
(+.f64 -1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (sin.f64 x) -1)
(+.f64 (sin.f64 x) 1)
(-.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0)))))
(-.f64 (+.f64 (sin.f64 x) 1) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0))))
(-.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (sin.f64 0))))
(-.f64 (sin.f64 x) (+.f64 -1 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) x)))))
(-.f64 (sin.f64 x) (+.f64 -1 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))))
(-.f64 (+.f64 (sin.f64 x) 1) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) x))))
(-.f64 (+.f64 (sin.f64 x) 1) 0)
(+.f64 (sin.f64 x) 1)
(-.f64 (+.f64 (sin.f64 x) 1) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0))))
(-.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0)))))
(-.f64 (sin.f64 x) (-.f64 -1 (*.f64 (cos.f64 x) (sin.f64 0))))
(-.f64 (+.f64 (sin.f64 x) 1) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) x))))
(-.f64 (sin.f64 x) (+.f64 -1 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) x)))))
(-.f64 (+.f64 (sin.f64 x) 1) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) x))))
(-.f64 0 (-.f64 -1 (sin.f64 x)))
(+.f64 (sin.f64 x) 1)
(-.f64 (+.f64 1/2 (/.f64 (sin.f64 x) 2)) (/.f64 (-.f64 -1 (sin.f64 x)) 2))
(+.f64 (sin.f64 x) 1)
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))))
(-.f64 1 (-.f64 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))) (.f64 (sin.f64 0) (cos.f64 (neg.f64 x)))))
(+.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) 1) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (+.f64 -1 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))))
(-.f64 1 (-.f64 (.f64 (cos.f64 0) (sin.f64 (neg.f64 x))) (.f64 (sin.f64 0) (cos.f64 (neg.f64 x)))))
(+.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 x))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 x)))) 1)
(*.f64 1 (+.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 1)
(*.f64 (+.f64 (sin.f64 x) 1) 1)
(+.f64 (sin.f64 x) 1)
(*.f64 (-.f64 -1 (sin.f64 x)) -1)
(+.f64 (sin.f64 x) 1)
(.f64 (-.f64 (.f64 (sin.f64 x) 2) -2) 1/2)
(.f64 1/2 (-.f64 (.f64 2 (sin.f64 x)) -2))
(.f64 1/2 (-.f64 (.f64 (sin.f64 x) 2) -2))
(.f64 1/2 (-.f64 (.f64 2 (sin.f64 x)) -2))
(.f64 (.f64 2 (-.f64 (*.f64 (sin.f64 x) 2) -2)) 1/4)
(.f64 1/2 (-.f64 (.f64 2 (sin.f64 x)) -2))
(.f64 1/4 (.f64 2 (-.f64 (*.f64 (sin.f64 x) 2) -2)))
(.f64 1/2 (-.f64 (.f64 2 (sin.f64 x)) -2))
(/.f64 (+.f64 (sin.f64 x) 1) 1)
(+.f64 (sin.f64 x) 1)
(/.f64 (-.f64 -1 (sin.f64 x)) -1)
(+.f64 (sin.f64 x) 1)
(/.f64 (-.f64 (*.f64 (sin.f64 x) 2) -2) 2)
(-.f64 (/.f64 (*.f64 2 (sin.f64 x)) 2) -1)
(+.f64 (/.f64 (*.f64 2 (sin.f64 x)) 2) 1)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) 4)
(/.f64 (.f64 (-.f64 (.f64 2 (sin.f64 x)) -2) 4) 8)
(/.f64 (.f64 4 (-.f64 (.f64 2 (sin.f64 x)) -2)) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2)) (.f64 2 (-.f64 (.f64 (sin.f64 x) 2) -2))) 8)
(/.f64 (.f64 (-.f64 (.f64 2 (sin.f64 x)) -2) 4) 8)
(/.f64 (.f64 4 (-.f64 (.f64 2 (sin.f64 x)) -2)) 8)
(pow.f64 (+.f64 (sin.f64 x) 1) 1)
(+.f64 (sin.f64 x) 1)
(neg.f64 (-.f64 -1 (sin.f64 x)))
(+.f64 (sin.f64 x) 1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) 0)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 1/2 (/.f64 (+.f64 1 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2))) 2))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (/.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) 2))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (+.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) 1))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2)))) 2) 1))
(+.f64 1 (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (*.f64 1/2 (PI.f64))))) 2) (/.f64 (sin.f64 (+.f64 x eps)) 2)))
(+.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 eps (-.f64 x (*.f64 1/2 (PI.f64))))) (sin.f64 (+.f64 x eps))) 2))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) 1))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 1/2 (PI.f64))))) 2) (+.f64 1 (/.f64 (cos.f64 (-.f64 eps (-.f64 x (.f64 1/2 (PI.f64))))) 2)))
(+.f64 1 (/.f64 (+.f64 (cos.f64 (-.f64 eps (-.f64 x (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 eps (-.f64 x (.f64 1/2 (PI.f64)))))) 2))
(+.f64 1 (.f64 (cos.f64 eps) (cos.f64 (-.f64 x (.f64 1/2 (PI.f64))))))
(+.f64 (+.f64 1/2 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 1/2 (/.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 1 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps))) 1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) -1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 (-.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2)) -2) 1/2)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 1/2 (-.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2)) -2))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) 1/4)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(.f64 1/4 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (-.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))) -1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2) 2)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2)) -2)) 4)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2)) (.f64 2 (-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) -2))) 8)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(pow.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(neg.f64 (-.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))

eval1.9s (1.4%)

Compiler: Compiled 29148 to 14801 computations (49.2% saved)

prune1.6s (1.2%)

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1300	37	1337
Fresh	14	11	25
Picked	1	0	1
Done	2	3	5
Total	1317	51	1368

Error

0.1b

Counts

1368 → 51

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.1b	(-.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	0.5b	(-.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
	29.2b	(-.f64 (+.f64 (-.f64 -1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))) 1) (sin.f64 x))
▶	45.3b	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
	45.9b	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	20.5b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	20.6b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (-.f64 2 (cos.f64 eps))))
	29.2b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (-.f64 (sin.f64 x) (+.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)))))
	52.5b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	38.1b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	29.1b	(-.f64 (+.f64 1 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1)
	45.5b	(-.f64 (+.f64 -1 (-.f64 (+.f64 (sin.f64 (+.f64 eps x)) 2) 1)) (sin.f64 x))
	61.3b	(-.f64 (+.f64 -1 (+.f64 (sin.f64 x) 1)) (sin.f64 x))
	44.9b	(-.f64 (+.f64 -1 (+.f64 (sin.f64 eps) 1)) (sin.f64 x))
	29.2b	(-.f64 (+.f64 -1 (+.f64 1 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 x))
	45.4b	(-.f64 (+.f64 -1 (+.f64 1 (+.f64 2 (+.f64 (+.f64 -1 (sin.f64 (+.f64 eps x))) -1)))) (sin.f64 x))
	45.9b	(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	58.4b	(-.f64 (+.f64 -1 (+.f64 1 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x))))) (sin.f64 x))
	29.3b	(-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) -2) -2))
	20.5b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
	0.5b	(-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	0.5b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (sin.f64 x) 1) (-.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps)))))
	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	36.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.9b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 1/2 (PI.f64))))
	60.0b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (neg.f64 x)))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	60.9b	(-.f64 (sin.f64 x) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	36.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 eps) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	45.5b	(-.f64 (sin.f64 eps) (cos.f64 (*.f64 1/2 (PI.f64))))
▶	58.5b	(-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))) (sin.f64 x))
	32.5b	(+.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (*.f64 (cos.f64 x) eps) 4))
	45.2b	(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (sin.f64 x) -1)) -1)
	45.2b	(+.f64 (-.f64 (sin.f64 eps) 1) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
	59.4b	(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
	32.5b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
	31.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	28.8b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
	17.3b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	30.7b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
✓	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
▶	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) 2)) 2) -1/2)))
	32.4b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6))))
	32.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	29.1b	(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	48.4b	(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
✓	32.5b	(*.f64 (cos.f64 x) eps)
▶	30.3b	(sin.f64 eps)
	46.4b	eps

Compiler

Compiled 1477 to 1079 computations (26.9% saved)

localize114.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.2b	(.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 eps) 2)) 2) -1/2))
✓	0.3b	(+.f64 -1 (*.f64 (cos.f64 eps) 2))
✓	1.3b	(+.f64 (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) 2)) 2) -1/2)

Compiler

Compiled 80 to 49 computations (38.8% saved)

series28.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	inf	(.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 eps) 2)) 2) -1/2))
4.0ms	x	@	inf	(.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 eps) 2)) 2) -1/2))
1.0ms	eps	@	-inf	(+.f64 (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) 2)) 2) -1/2)
1.0ms	eps	@	inf	(+.f64 (/.f64 (+.f64 -1 (*.f64 (cos.f64 eps) 2)) 2) -1/2)
1.0ms	x	@	0	(.f64 (sin.f64 x) (+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 eps) 2)) 2) -1/2))

rewrite359.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-4`
1236×	`rational_best-2`
1236×	`rational_best-3`
1236×	`rational_best-1`
1236×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	110	73
2	248	49
3	713	49
4	2856	49

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (/.f64 (neg.f64 (+.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (neg.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) 1/2) (-.f64 1 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 1/2) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2) (-.f64 (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)) (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (-.f64 (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)) (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8) (-.f64 (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)) (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2))) (-.f64 0 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2))) (-.f64 0 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2))) (-.f64 0 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 1/2 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 1/2 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 1/2 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2) (/.f64 (neg.f64 (cos.f64 eps)) 2)) (-.f64 3/4 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (/.f64 (neg.f64 (cos.f64 eps)) 2)) (-.f64 3/4 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8) (/.f64 (neg.f64 (cos.f64 eps)) 2)) (-.f64 3/4 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2) 1/4) (-.f64 (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 1/4) (-.f64 (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8) 1/4) (-.f64 (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps) (*.f64 (PI.f64) 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (cos.f64 eps)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (cos.f64 eps)) (neg.f64 (+.f64 -1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) (+.f64 1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) (+.f64 1/2 (neg.f64 (+.f64 -1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) (/.f64 (+.f64 1 (+.f64 1 (/.f64 (cos.f64 eps) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) (-.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) (neg.f64 (*.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 1/2) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2))) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2))) (/.f64 (+.f64 (/.f64 (cos.f64 eps) -1/2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) 1/2)) (-.f64 1 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1/2 (cos.f64 eps)) (*.f64 (cos.f64 eps) 1/2)) (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 eps) 1/2)) (/.f64 (neg.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (cos.f64 eps) 1/2) (neg.f64 (cos.f64 eps))) (-.f64 1 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (neg.f64 (cos.f64 eps))) (neg.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 -1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (*.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 eps) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (+.f64 -1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2) (/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2) (/.f64 (neg.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) (*.f64 (sin.f64 x) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)))))

simplify1.1s (0.8%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational_best-simplify-56`
984×	`rational_best-simplify-55`
918×	`rational_best-simplify-1`
758×	`rational_best-simplify-57`
586×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	289	3935
1	750	3801
2	1853	3725
3	6297	3223

Stop Event

1×	node limit

Counts

141 → 175

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/12 (pow.f64 eps 4)) (*.f64 -1/360 (pow.f64 eps 6)))))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) x)
(+.f64 (.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2) x) (.f64 -1/6 (.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2) (pow.f64 x 5))) (+.f64 (.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2) x) (.f64 -1/6 (.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2) (pow.f64 x 5))) (+.f64 (.f64 -1/5040 (.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2) (pow.f64 x 7))) (+.f64 (.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2) x) (.f64 -1/6 (.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (pow.f64 x 3))))))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (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 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) (sin.f64 x))
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)))
(-.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (/.f64 (neg.f64 (+.f64 -1 (cos.f64 eps))) 2))
(-.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (neg.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2)))
(-.f64 (.f64 (cos.f64 eps) 1/2) (-.f64 1 (.f64 (cos.f64 eps) 1/2)))
(-.f64 (-.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 1/2) (-.f64 1/4 (.f64 (cos.f64 eps) 1/2)))
(-.f64 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2) (-.f64 (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)) (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2)))
(-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (-.f64 (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)) (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))
(-.f64 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8) (-.f64 (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)) (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2))) (-.f64 0 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2))) (-.f64 0 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))
(-.f64 (-.f64 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2))) (-.f64 0 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2) (-.f64 1/4 (.f64 (cos.f64 eps) 1/2))) (-.f64 1/2 (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 1/2 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))
(-.f64 (-.f64 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8) (-.f64 1/4 (.f64 (cos.f64 eps) 1/2))) (-.f64 1/2 (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2) (/.f64 (neg.f64 (cos.f64 eps)) 2)) (-.f64 3/4 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (/.f64 (neg.f64 (cos.f64 eps)) 2)) (-.f64 3/4 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))
(-.f64 (-.f64 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8) (/.f64 (neg.f64 (cos.f64 eps)) 2)) (-.f64 3/4 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2) 1/4) (-.f64 (-.f64 1/2 (.f64 (cos.f64 eps) 1/2)) (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 1/4) (-.f64 (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))
(-.f64 (-.f64 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8) 1/4) (-.f64 (-.f64 1/2 (.f64 (cos.f64 eps) 1/2)) (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))
(.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(.f64 1/4 (.f64 (+.f64 -1 (cos.f64 eps)) 4))
(.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2) 2)
(.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(.f64 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 4)) 1/8)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 4)) 8)
(/.f64 (-.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)
(/.f64 (-.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) eps))))) 2)
(/.f64 (-.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (-.f64 (.f64 (PI.f64) 1/2) eps) (*.f64 (PI.f64) 1/2))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(-.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 0)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (neg.f64 (+.f64 -1/2 (cos.f64 eps))))
(-.f64 (+.f64 -1 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (neg.f64 (cos.f64 eps))))
(-.f64 (cos.f64 eps) (+.f64 1/2 (neg.f64 (+.f64 -1/2 (cos.f64 eps)))))
(-.f64 (cos.f64 eps) (/.f64 (+.f64 1 (+.f64 1 (/.f64 (cos.f64 eps) -1/2))) 2))
(-.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) (-.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)))))
(-.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) (neg.f64 (.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 1/2)))
(-.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -1/2) 1/2)
(-.f64 (.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 1/2) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2)))
(-.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (.f64 (cos.f64 eps) 1/2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2))) (+.f64 3/4 (/.f64 (neg.f64 (cos.f64 eps)) 2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2))) (/.f64 (+.f64 (/.f64 (cos.f64 eps) -1/2) 3) 4))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) 1/2)) (-.f64 1 (.f64 (cos.f64 eps) 1/2)))
(-.f64 (+.f64 (+.f64 -1/2 (cos.f64 eps)) (.f64 (cos.f64 eps) 1/2)) (-.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
(-.f64 (+.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 eps) 1/2)) (/.f64 (neg.f64 (cos.f64 eps)) 2))
(-.f64 (-.f64 (.f64 (cos.f64 eps) 1/2) (neg.f64 (cos.f64 eps))) (-.f64 1 (.f64 (cos.f64 eps) 1/2)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/4 (.f64 (cos.f64 eps) 1/2)) 2) (-.f64 1/4 (.f64 (cos.f64 eps) 1/2))) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (/.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 1/2)) 2)))
(-.f64 (-.f64 (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (-.f64 1/4 (*.f64 (cos.f64 eps) 1/2))) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (/.f64 (+.f64 -1/2 (cos.f64 eps)) 4)))
(-.f64 (-.f64 (/.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 8) (-.f64 1/4 (.f64 (cos.f64 eps) 1/2))) (-.f64 (neg.f64 (+.f64 -1/2 (cos.f64 eps))) (/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 8)))
(-.f64 (-.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2) (neg.f64 (cos.f64 eps))) (neg.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 1/2)))
(*.f64 2 (+.f64 -1/2 (cos.f64 eps)))
(.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 1)
(*.f64 (+.f64 -1/2 (cos.f64 eps)) 2)
(.f64 1 (+.f64 -1 (.f64 2 (cos.f64 eps))))
(.f64 (+.f64 (.f64 (cos.f64 eps) 4) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 4) -2))
(.f64 (.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 4) 1/4)
(*.f64 -2 (neg.f64 (+.f64 -1/2 (cos.f64 eps))))
(.f64 1/4 (.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 4))
(.f64 1/8 (.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4))
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4) 1/8)
(.f64 1/16 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) 4) -2) 4)))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) 4) -2) 4)) 1/16)
(/.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 2)
(/.f64 (.f64 (+.f64 -1 (.f64 2 (cos.f64 eps))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) 4) -2) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) 4) -2) 4)) 16)
(pow.f64 (+.f64 -1 (*.f64 2 (cos.f64 eps))) 1)
(+.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2))
(-.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 0)
(-.f64 (/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2) (/.f64 (neg.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (sin.f64 x))) 2)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 4)) 4)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (*.f64 (sin.f64 x) 4))) 8)
(/.f64 (.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 4) (*.f64 (sin.f64 x) 4)) 16)
(pow.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
(-.f64 (.f64 1/2 (-.f64 (.f64 2 (cos.f64 eps)) 1)) 1/2)
(-.f64 (.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -1)) 1/2)
(-.f64 (.f64 1/2 (-.f64 -1 (.f64 (cos.f64 eps) -2))) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (*.f64 (pow.f64 eps 2) -1))
(+.f64 1 (neg.f64 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/12 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) -1) (.f64 (pow.f64 eps 4) 1/12)))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (*.f64 (pow.f64 eps 4) 1/12) 1))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 1 (*.f64 (pow.f64 eps 4) 1/12)))
(-.f64 (*.f64 (pow.f64 eps 4) 1/12) (+.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/12 (pow.f64 eps 4)) (*.f64 -1/360 (pow.f64 eps 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) -1) (+.f64 (.f64 (pow.f64 eps 4) 1/12) (*.f64 (pow.f64 eps 6) -1/360))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/12) (.f64 (pow.f64 eps 6) -1/360))))
(+.f64 (+.f64 1 (neg.f64 (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 4) 1/12) (.f64 (pow.f64 eps 6) -1/360)))
(+.f64 (.f64 (pow.f64 eps 6) -1/360) (-.f64 (.f64 (pow.f64 eps 4) 1/12) (+.f64 -1 (pow.f64 eps 2))))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 2 (cos.f64 eps)) 1)
(+.f64 (*.f64 2 (cos.f64 eps)) -1)
(-.f64 -1 (*.f64 (cos.f64 eps) -2))
(.f64 (-.f64 (.f64 1/2 (-.f64 (*.f64 2 (cos.f64 eps)) 1)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -1)) 1/2) x)
(.f64 (-.f64 (.f64 1/2 (-.f64 -1 (*.f64 (cos.f64 eps) -2))) 1/2) x)
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localize66.0ms (0%)

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

localize64.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps))))
✓	2.6b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1)
	4.8b	(sin.f64 (+.f64 x eps))
✓	9.3b	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))

Compiler

Compiled 48 to 19 computations (60.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
0.0ms	eps	@	0	(-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps))))
0.0ms	x	@	0	(-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps))))
0.0ms	eps	@	0	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
0.0ms	x	@	inf	(-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps))))

rewrite646.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`rational_best-simplify-1`
772×	`rational_best-simplify-62`
688×	`rational_best-simplify-79`
584×	`rational_best-simplify-47`
498×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	105	69
2	298	49
3	1131	49
4	6463	49

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (-.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) 1)))) (#(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 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (-.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 x)) (+.f64 -1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (-.f64 1 (+.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> 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(sin.f64 0))) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x)) (+.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) 1) (-.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 -1 (sin.f64 x))) (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) (/.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) 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(sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 1 (+.f64 -1 (sin.f64 x))) (neg.f64 (sin.f64 (+.f64 x eps)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) (-.f64 -1 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) (-.f64 1 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) (neg.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 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(cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (sin.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (neg.f64 (*.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))) (neg.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (sin.f64 (+.f64 x eps)) -2)) (/.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1) (+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) -1) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) -1) (+.f64 -1 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) -2)) -1) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)) (*.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (sin.f64 (+.f64 x eps))))))))

simplify1.0s (0.8%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best-simplify-3`
1096×	`rational_best-simplify-65`
1012×	`rational_best-simplify-51`
940×	`rational_best-simplify-57`
912×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	11184
1	1237	11152
2	3149	11054

Stop Event

1×	node limit

Counts

294 → 378

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(-.f64 (sin.f64 eps) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps)))) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (sin.f64 x) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) 1)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (-.f64 1 (sin.f64 x)))
(+.f64 1 (-.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 0))))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) 1)
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0))) 0))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)
(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 (sin.f64 (+.f64 x eps))))
(+.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (-.f64 -1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0))) (neg.f64 (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(+.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 -1 (sin.f64 x))))
(+.f64 (-.f64 1 (sin.f64 x)) (+.f64 -1 (sin.f64 (+.f64 x eps))))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (-.f64 1 (+.f64 -1 (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x)) -1)
(+.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 x eps))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (sin.f64 x) 2)))
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(/.f64 (.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps))))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (neg.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps))))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 0) (cos.f64 0))) 4)
(/.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 0)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 (+.f64 x eps)) 2)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (.f64 2 (*.f64 (sin.f64 eps) (cos.f64 x))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (.f64 2 (*.f64 (sin.f64 eps) (cos.f64 x))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (neg.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2))))) 4)
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(neg.f64 (neg.f64 (sin.f64 (+.f64 x eps))))
(neg.f64 (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 x eps)))) (neg.f64 (sin.f64 (+.f64 x eps)))))
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(+.f64 -1 (sin.f64 (+.f64 x eps)))
(+.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 0)
(+.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) -2))
(+.f64 (sin.f64 (+.f64 x eps)) -1)
(+.f64 0 (+.f64 -1 (sin.f64 (+.f64 x eps))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) 0))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 1) -1))
(+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) -1))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 2))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1))
(+.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)
(+.f64 (-.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 -1 (/.f64 (sin.f64 (+.f64 x eps)) -2)) (/.f64 (sin.f64 (+.f64 x eps)) 2))
(+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1) (+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) 1) -1))
(+.f64 (+.f64 (-.f64 1 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) -1) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))
(+.f64 (+.f64 (-.f64 1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) -1) (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) -2)) -1) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1))
(*.f64 -1 (-.f64 1 (sin.f64 (+.f64 x eps))))
(*.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (+.f64 -1 (sin.f64 (+.f64 x eps))))
(*.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) -1)
(.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2) 1/2)
(.f64 1/2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2))
(.f64 (.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)))
(/.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)
(/.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) -1)
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2)) (.f64 2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2))) 8)
(pow.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)
(neg.f64 (-.f64 1 (sin.f64 (+.f64 x eps))))

Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) x)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)))
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 (cos.f64 eps) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (sin.f64 eps) (+.f64 (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 (cos.f64 eps) x))))
(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 3) -1/6))) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) -1)))
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(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) 1/2)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 1/2 (PI.f64)) x))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 1/2 (PI.f64)))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))) (cos.f64 (+.f64 eps (-.f64 (*.f64 1/2 (PI.f64)) x))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))) (cos.f64 (+.f64 eps (-.f64 (*.f64 1/2 (PI.f64)) x))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 2 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (*.f64 2 (sin.f64 x))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) 2)) (.f64 (cos.f64 eps) (*.f64 2 (sin.f64 x))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (neg.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (+.f64 (sin.f64 (+.f64 eps x)) (.f64 (cos.f64 eps) (.f64 2 (sin.f64 x)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (cos.f64 eps) (.f64 2 (sin.f64 x))) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (-.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (.f64 (cos.f64 eps) (.f64 2 (sin.f64 x))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))) (.f64 (cos.f64 eps) (*.f64 2 (sin.f64 x)))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 1/2 (PI.f64)) eps))) (+.f64 (.f64 (cos.f64 eps) (.f64 2 (sin.f64 x))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (+.f64 x eps) (.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 (+.f64 eps x) (.f64 1/2 (PI.f64)))))) 4)
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(neg.f64 (neg.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(neg.f64 (+.f64 (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 x eps)))) (neg.f64 (sin.f64 (+.f64 x eps)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 (sin.f64 0) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 eps x)))))
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(+.f64 -1 (sin.f64 (+.f64 x eps)))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 0)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) -2))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (+.f64 x eps)) -1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 0 (+.f64 -1 (sin.f64 (+.f64 x eps))))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) 0))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 1) -1))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) -1))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 2))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 -1/2 (/.f64 (sin.f64 (+.f64 x eps)) 2)))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (-.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (-.f64 -1 (/.f64 (sin.f64 (+.f64 x eps)) -2)) (/.f64 (sin.f64 (+.f64 x eps)) 2))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) -2)))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 1/2) (-.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) -2)))
(+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1) (+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) 1) -1))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 (-.f64 1 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) -1) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 (-.f64 1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) -1) (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(+.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) -2)) -1) (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) -1))
(-.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) -2)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) 2)
(+.f64 (+.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) -2)))
(+.f64 (+.f64 -1 (*.f64 (sin.f64 (+.f64 eps x)) 1/2)) (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2)))
(*.f64 -1 (-.f64 1 (sin.f64 (+.f64 x eps))))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(*.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(*.f64 1 (+.f64 -1 (sin.f64 (+.f64 x eps))))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(*.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) -1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2) 1/2)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(.f64 1/2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(.f64 (.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)) 1/4)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(.f64 1/4 (.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)))
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(/.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(/.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) -1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2) 2)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2)) 4)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2)) (.f64 2 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 2))) 8)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(pow.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) 1)
(+.f64 -1 (sin.f64 (+.f64 eps x)))
(neg.f64 (-.f64 1 (sin.f64 (+.f64 x eps))))
(+.f64 -1 (sin.f64 (+.f64 eps x)))

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.0b	(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))
✓	2.2b	(-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))) (sin.f64 x))
✓	20.5b	(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))

Compiler

Compiled 40 to 20 computations (50% saved)

series27.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))
1.0ms	eps	@	0	(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))) (sin.f64 x))
0.0ms	eps	@	0	(-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))) (sin.f64 x))
0.0ms	x	@	inf	(-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps))) (sin.f64 x))

rewrite400.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1954×	`rational_best-4`
1954×	`rational_best-2`
1954×	`rational_best-3`
1954×	`rational_best-1`
1954×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	95	81
2	232	81
3	828	53
4	4218	53

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cos.f64 (-.f64 0 (neg.f64 x))) (sin.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (cos.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (cos.f64 (-.f64 0 (neg.f64 x))) (sin.f64 (neg.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (*.f64 (cos.f64 (-.f64 0 (neg.f64 x))) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 0 (/.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (*.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (-.f64 (neg.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 4)) (cos.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 4))) (*.f64 (sin.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 4)) (sin.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 0) (/.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))))) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (*.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 4) x) (-.f64 (/.f64 (PI.f64) 4) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 4) x) (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 4) eps) (-.f64 (/.f64 (PI.f64) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (PI.f64) 4) (+.f64 x eps)) (/.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 x (*.f64 (PI.f64) 1/2))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 eps) (-.f64 1 (-.f64 x (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2))) (*.f64 2 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (PI.f64) (+.f64 x x)) (*.f64 eps -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 eps -2) (-.f64 (PI.f64) (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) 2) (*.f64 2 (*.f64 (+.f64 x eps) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps -2) (-.f64 (+.f64 x x) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))))))))

simplify33.3s (25%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational_best-simplify-47`
860×	`rational_best-simplify-48`
858×	`rational_best-simplify-52`
756×	`rational_best-simplify-3`
738×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	6385
1	914	6141
2	2336	5857

Stop Event

1×	node limit

Counts

203 → 235

Calls

Call 1

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

Outputs
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps)) x))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (pow.f64 x 2))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) x)))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) x) (.f64 -1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (pow.f64 x 2)))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) x) (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (.f64 (pow.f64 x 2) -1/2))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) x) (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) (pow.f64 x 2))) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) eps)) x) (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps)))))))
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(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
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(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
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(cos.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))) eps))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))) eps))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))) eps))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x))
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(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (+.f64 (.f64 -1 eps) (.f64 1/2 (PI.f64))) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (+.f64 (.f64 -1 eps) (.f64 1/2 (PI.f64))) x))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (+.f64 (.f64 -1 eps) (.f64 1/2 (PI.f64))) x))
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(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))
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(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))) eps)) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (PI.f64))) eps)) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
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(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))) (sin.f64 x))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)) (sin.f64 x))
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(*.f64 -1 x)
(neg.f64 x)
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(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(*.f64 -1 x)
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(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
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(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 2)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 4)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 8)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (-.f64 (.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) 4)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2))))) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps (-.f64 x (.f64 1/2 (PI.f64)))))) (.f64 2 (sin.f64 x))) 2)
(/.f64 (-.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) (sin.f64 (+.f64 x eps)))) 2)
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 1/2 (PI.f64))))) (.f64 2 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))) 2)
(-.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 (-.f64 (cos.f64 (+.f64 eps (-.f64 x (*.f64 1/2 (PI.f64))))) (sin.f64 (+.f64 eps x))) 2))
(-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps (-.f64 x (*.f64 1/2 (PI.f64))))) (sin.f64 (+.f64 eps x))) 2) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 x) eps))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) 0)
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 x eps)) (-.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 x eps)) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) x) (-.f64 (*.f64 (PI.f64) 1/2) x)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) (-.f64 (neg.f64 eps) (neg.f64 eps)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 0 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) (neg.f64 eps))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) (neg.f64 (neg.f64 (neg.f64 eps))))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (neg.f64 eps) (-.f64 (*.f64 (PI.f64) 1/2) x))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (PI.f64) 1/2) eps))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps) (neg.f64 x))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) 1/2))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (neg.f64 x) eps) (neg.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (-.f64 (neg.f64 x) eps)))
(+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(+.f64 (-.f64 (neg.f64 eps) x) (/.f64 (PI.f64) 2))
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (+.f64 x eps)))
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (+.f64 eps x)))
(+.f64 (/.f64 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2)) 4) (/.f64 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2)) 4))
(/.f64 (-.f64 (PI.f64) (*.f64 2 (+.f64 eps x))) 2)
(+.f64 (-.f64 (PI.f64) (+.f64 x eps)) (neg.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (PI.f64) (+.f64 (+.f64 eps x) (*.f64 1/2 (PI.f64))))
(+.f64 (*.f64 (PI.f64) -1/2) (-.f64 (PI.f64) (+.f64 eps x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (+.f64 x eps) 2)) (neg.f64 (/.f64 (+.f64 x eps) 2)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (-.f64 (*.f64 (PI.f64) 1/2) x) (/.f64 eps 2)) (neg.f64 (/.f64 eps 2)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) eps) (-.f64 x (*.f64 (PI.f64) 1/2)))
(+.f64 (-.f64 x (*.f64 1/2 (PI.f64))) (-.f64 (PI.f64) (+.f64 eps (+.f64 x x))))
(+.f64 (-.f64 (.f64 eps -2) (-.f64 x (.f64 (PI.f64) 1/2))) (neg.f64 (neg.f64 eps)))
(-.f64 (.f64 eps -2) (+.f64 (-.f64 x (.f64 1/2 (PI.f64))) (neg.f64 eps)))
(-.f64 (.f64 eps -2) (-.f64 x (+.f64 (.f64 1/2 (PI.f64)) eps)))
(+.f64 eps (+.f64 (-.f64 (.f64 1/2 (PI.f64)) x) (.f64 eps -2)))
(+.f64 (/.f64 (-.f64 (neg.f64 x) eps) 2) (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (PI.f64)) 2))
(+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(+.f64 (-.f64 (neg.f64 eps) x) (/.f64 (PI.f64) 2))
(+.f64 (/.f64 (-.f64 (.f64 (PI.f64) 1/2) x) 2) (/.f64 (+.f64 (-.f64 (.f64 (PI.f64) 1/2) x) (*.f64 eps -2)) 2))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(+.f64 (/.f64 (neg.f64 eps) 2) (/.f64 (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x))) 2))
(/.f64 (+.f64 (neg.f64 eps) (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x)))) 2)
(/.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)
(-.f64 (/.f64 (PI.f64) 2) (+.f64 eps x))
(+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (+.f64 (neg.f64 x) (+.f64 (PI.f64) (*.f64 eps -2))) 2))
(/.f64 (+.f64 (neg.f64 eps) (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x)))) 2)
(/.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)
(-.f64 (/.f64 (PI.f64) 2) (+.f64 eps x))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) x) (-.f64 (/.f64 (PI.f64) 4) eps))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) x) (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 eps))))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) x) (-.f64 (/.f64 (PI.f64) 4) eps))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) eps) (-.f64 (/.f64 (PI.f64) 4) x))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) x) (-.f64 (/.f64 (PI.f64) 4) eps))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (+.f64 x eps)) (/.f64 (PI.f64) 4))
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (+.f64 eps x)))
(+.f64 (-.f64 -1 (-.f64 x (*.f64 (PI.f64) 1/2))) (-.f64 1 eps))
(+.f64 (-.f64 -1 (-.f64 x (*.f64 1/2 (PI.f64)))) (-.f64 1 eps))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x 1)) (-.f64 1 eps))
(+.f64 (-.f64 -1 eps) (-.f64 1 (-.f64 x (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 -1 eps) (-.f64 (*.f64 1/2 (PI.f64)) (-.f64 x 1)))
(+.f64 (-.f64 -1 eps) (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x -1)))
(.f64 1/2 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2)))
(.f64 1/2 (-.f64 (PI.f64) (.f64 2 (+.f64 eps x))))
(.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 x eps)) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(.f64 1 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 x eps)))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2))) -1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(.f64 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2)) 1/2)
(.f64 1/2 (-.f64 (PI.f64) (.f64 2 (+.f64 eps x))))
(.f64 (.f64 2 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2))) 1/4)
(.f64 1/2 (-.f64 (PI.f64) (.f64 2 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(/.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))) -1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(/.f64 (-.f64 (PI.f64) (*.f64 (+.f64 x eps) 2)) 2)
(/.f64 (-.f64 (PI.f64) (*.f64 2 (+.f64 eps x))) 2)
(/.f64 (.f64 2 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2))) 4)
(/.f64 (.f64 2 (-.f64 (PI.f64) (.f64 2 (+.f64 eps x)))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (+.f64 eps x) 4)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2))) (.f64 2 (-.f64 (PI.f64) (.f64 (+.f64 x eps) 2)))) 8)
(/.f64 (.f64 2 (-.f64 (PI.f64) (.f64 2 (+.f64 eps x)))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (+.f64 eps x) 4)) 4)
(/.f64 (+.f64 (-.f64 (PI.f64) (+.f64 x x)) (*.f64 eps -2)) 2)
(/.f64 (+.f64 (neg.f64 eps) (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x)))) 2)
(/.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)
(-.f64 (/.f64 (PI.f64) 2) (+.f64 eps x))
(/.f64 (+.f64 (*.f64 eps -2) (-.f64 (PI.f64) (+.f64 x x))) 2)
(/.f64 (+.f64 (neg.f64 eps) (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x)))) 2)
(/.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)
(-.f64 (/.f64 (PI.f64) 2) (+.f64 eps x))
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 2 (*.f64 (+.f64 x eps) 2))) 4)
(/.f64 (.f64 2 (-.f64 (PI.f64) (.f64 2 (+.f64 eps x)))) 4)
(/.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 (+.f64 eps x) 4)) 4)
(/.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)
(/.f64 (+.f64 (neg.f64 eps) (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x)))) 2)
(-.f64 (/.f64 (PI.f64) 2) (+.f64 eps x))
(/.f64 (-.f64 (*.f64 eps -2) (-.f64 (+.f64 x x) (PI.f64))) 2)
(/.f64 (+.f64 (neg.f64 eps) (+.f64 (neg.f64 eps) (-.f64 (PI.f64) (+.f64 x x)))) 2)
(/.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x x)) (+.f64 eps eps)) 2)
(-.f64 (/.f64 (PI.f64) 2) (+.f64 eps x))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))
(neg.f64 (+.f64 eps (-.f64 x (*.f64 (PI.f64) 1/2))))
(-.f64 (+.f64 (neg.f64 x) (*.f64 1/2 (PI.f64))) eps)
(-.f64 (*.f64 1/2 (PI.f64)) (+.f64 eps x))

localize32.8s (24.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
✓	0.3b	(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1)
✓	1.4b	(-.f64 1 (cos.f64 eps))
✓	3.2b	(-.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)

Compiler

Compiled 69 to 30 computations (56.5% saved)

series7.0ms (0%)

Counts

4 → 60

Calls

21 calls:

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

rewrite542.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`rational_best-simplify-1`
762×	`rational_best-simplify-79`
584×	`rational_best-simplify-62`
450×	`rational_best-4`
450×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	120	94
2	298	94
3	1080	94
4	5593	94

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (neg.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 1 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 (sin.f64 x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 eps) 2) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))))

simplify1.0s (0.8%)

Algorithm

1×	egg-herbie

Rules

852×	`rational_best-simplify-3`
738×	`rational_best-simplify-50`
696×	`rational_best-simplify-1`
582×	`rational_best-simplify-48`
568×	`rational_best-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	391	7314
1	972	7038
2	2362	6928
3	7646	6920

Stop Event

1×	node limit

Counts

196 → 257

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(*.f64 1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/40320 (pow.f64 eps 8)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (.f64 1/720 (pow.f64 eps 6)))))
-1
(-.f64 (*.f64 (cos.f64 x) eps) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps)))) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(*.f64 (-.f64 1 (cos.f64 eps)) x)
(+.f64 (.f64 (-.f64 1 (cos.f64 eps)) x) (.f64 -1/6 (*.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 1 (cos.f64 eps)) x) (+.f64 (.f64 1/120 (.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 5))) (.f64 -1/6 (*.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 1 (cos.f64 eps)) x) (+.f64 (.f64 1/120 (.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 5))) (+.f64 (.f64 -1/5040 (.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 7))) (.f64 -1/6 (*.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 x 3))))))
(.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 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x)))))
(+.f64 (.f64 -1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) -1))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1))
(+.f64 -1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (neg.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 0)
(+.f64 0 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)) -1)
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) -1))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 1/2 (/.f64 (-.f64 -1 (.f64 2 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2))
(+.f64 (neg.f64 (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))
(+.f64 (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (-.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) 2) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (-.f64 x (.f64 (PI.f64) 1/2)))) 2) (+.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) 2) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) -1/2) (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) -1/2) 1))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) -1/2) (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)) 2))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (+.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(+.f64 (-.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (neg.f64 (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))))
(+.f64 (-.f64 1 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (-.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2) (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)))
(+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2))) 2))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) 1) (-.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (+.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (+.f64 (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1))
(+.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) 1) (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) 1) (+.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (+.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1))
(+.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (+.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) 1))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1) (-.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) (+.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(+.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (+.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (+.f64 (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2))
(+.f64 (+.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1) (+.f64 (+.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) -1) 1))
(+.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) -1) 1) (+.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1))
(.f64 -1 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))) -1)
(.f64 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (+.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))))))
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (+.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)))))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)))
(/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(/.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))) -1)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))) 8)
(/.f64 (-.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2) (-.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 2)) 2)
(pow.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(neg.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 eps)))
(+.f64 (-.f64 1 (cos.f64 eps)) 0)
(+.f64 0 (-.f64 1 (cos.f64 eps)))
(+.f64 (neg.f64 (cos.f64 eps)) 1)
(+.f64 (-.f64 1/2 (/.f64 (cos.f64 eps) 2)) (-.f64 1/2 (/.f64 (cos.f64 eps) 2)))
(+.f64 (-.f64 1 (/.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (neg.f64 (cos.f64 eps)) 2) (/.f64 (+.f64 (neg.f64 (cos.f64 eps)) 2) 2))
(*.f64 -1 (+.f64 -1 (cos.f64 eps)))
(*.f64 1 (-.f64 1 (cos.f64 eps)))
(*.f64 (-.f64 1 (cos.f64 eps)) 1)
(*.f64 (+.f64 -1 (cos.f64 eps)) -1)
(.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) 1/2)
(.f64 1/2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))
(.f64 (.f64 2 (*.f64 -2 (+.f64 -1 (cos.f64 eps)))) 1/4)
(.f64 1/4 (.f64 2 (*.f64 -2 (+.f64 -1 (cos.f64 eps)))))
(/.f64 (-.f64 1 (cos.f64 eps)) 1)
(/.f64 (+.f64 -1 (cos.f64 eps)) -1)
(/.f64 (*.f64 -2 (+.f64 -1 (cos.f64 eps))) 2)
(/.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) 8)
(pow.f64 (-.f64 1 (cos.f64 eps)) 1)
(neg.f64 (+.f64 -1 (cos.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) 0)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 2)
(-.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -2) -1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 3)
(-.f64 (+.f64 (.f64 (sin.f64 eps) (/.f64 (cos.f64 x) 2)) -1/2) (/.f64 (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2))
(-.f64 (+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) -2) -2)
(.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))
(.f64 (-.f64 (.f64 (sin.f64 eps) (*.f64 (cos.f64 x) 2)) 2) 1/2)
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (*.f64 (cos.f64 x) 2)) 2))
(.f64 (.f64 2 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) 1)
(/.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 (sin.f64 eps) (*.f64 (cos.f64 x) 2)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)) (.f64 2 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2))) 8)
(pow.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1) 1)
(+.f64 -1 (+.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 1 (+.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (+.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
(+.f64 (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))))
(-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0)
(-.f64 0 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(-.f64 (+.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1)
(-.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) -1)
(/.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 2 (*.f64 -2 (+.f64 -1 (cos.f64 eps))))) 4)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) -2)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (*.f64 (sin.f64 x) 2))) -4)
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 8)
(/.f64 (.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (*.f64 (sin.f64 x) 2))) 16)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 x) 2)))) -8)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) -2)
(/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 eps) 2) 2)) -2)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (*.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 64)
(/.f64 (.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (*.f64 -2 (+.f64 -1 (cos.f64 eps)))) 4)
(/.f64 (.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 x) 2)))) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) 2)) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 x) (*.f64 -2 (+.f64 -1 (cos.f64 eps))))) 4)
(/.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 16)
(/.f64 (.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) 16)
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(neg.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))

Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
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(-.f64 (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(-.f64 (.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 eps) 2))) (/.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(-.f64 (.f64 (sin.f64 x) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) -1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 x) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 2)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 x) (.f64 2 (*.f64 -2 (+.f64 -1 (cos.f64 eps))))) 4)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) -2)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (*.f64 (sin.f64 x) 2))) -4)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 8)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (*.f64 (sin.f64 x) 2))) 16)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 x) 2)))) -8)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2))))) -2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 1/2 (PI.f64)))))) -2)
(/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 eps) 2) 2)) -2)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (*.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 64)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 (PI.f64) 1/2)))) (*.f64 -2 (+.f64 -1 (cos.f64 eps)))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 -2 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 1/2 (PI.f64))))) (*.f64 (+.f64 (cos.f64 eps) -1) -4)) 8)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) -4) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 1/2 (PI.f64)))))) 8)
(/.f64 (.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 (PI.f64) 1/2))))) 4)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 -2 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 1/2 (PI.f64))))))) 4)
(/.f64 (.f64 (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (.f64 1/2 (PI.f64))))) (*.f64 (+.f64 (cos.f64 eps) -1) -4)) 8)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) -4) (+.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 1/2 (PI.f64)))))) 8)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (*.f64 (sin.f64 x) 2)))) 64)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) 2)) 16)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 -2 (+.f64 -1 (cos.f64 eps)))) 16)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (sin.f64 x) (*.f64 -2 (+.f64 -1 (cos.f64 eps))))) 4)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) -2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 0) (cos.f64 0)))) 4)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) -4) (*.f64 (cos.f64 0) (sin.f64 x))) 4)
(/.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 0) (*.f64 (+.f64 (cos.f64 eps) -1) -4))) 4)
(/.f64 (.f64 (.f64 (sin.f64 x) 2) (+.f64 (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))) (.f64 2 (.f64 -2 (+.f64 -1 (cos.f64 eps)))))) 16)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (.f64 -2 (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (.f64 (sin.f64 x) 2)))) 16)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))

eval4.0s (3%)

Compiler: Compiled 29832 to 16520 computations (44.6% saved)

prune3.3s (2.5%)

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	1308	20	1328
Fresh	12	31	43
Picked	0	1	1
Done	3	4	7
Total	1323	56	1379

Error

0.1b

Counts

1379 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	60.6b	(-.f64 (-.f64 (-.f64 (.f64 (cos.f64 x) eps) 1) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	43.9b	(-.f64 (-.f64 (-.f64 (sin.f64 eps) 1) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
✓	29.1b	(-.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	59.4b	(-.f64 (-.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	45.9b	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	29.2b	(-.f64 (+.f64 (+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))) 1) (sin.f64 x))
	20.5b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	52.5b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	61.3b	(-.f64 (+.f64 -1 (+.f64 (sin.f64 x) 1)) (sin.f64 x))
	44.9b	(-.f64 (+.f64 -1 (+.f64 (sin.f64 eps) 1)) (sin.f64 x))
	45.9b	(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	29.3b	(-.f64 (.f64 (sin.f64 x) (.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x)))) -2) -2))
	20.5b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
	0.5b	(-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	36.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.9b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 1/2 (PI.f64))))
	60.0b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (neg.f64 x)))
▶	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	60.9b	(-.f64 (sin.f64 x) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	36.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 eps) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	45.5b	(-.f64 (sin.f64 eps) (cos.f64 (*.f64 1/2 (PI.f64))))
	58.2b	(-.f64 (cos.f64 (neg.f64 x)) (sin.f64 x))
	59.3b	(-.f64 (cos.f64 (neg.f64 eps)) (sin.f64 x))
	32.5b	(+.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (*.f64 (cos.f64 x) eps) 4))
	45.2b	(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (sin.f64 x) -1)) -1)
	45.2b	(+.f64 (-.f64 (sin.f64 eps) 1) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
	59.4b	(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
	29.1b	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)) -1)
▶	29.1b	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)
	29.1b	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) -1))
	29.1b	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))
	45.3b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (-.f64 1 (+.f64 -1 (sin.f64 x))))
	45.3b	(+.f64 (+.f64 (sin.f64 (+.f64 eps x)) -2) (+.f64 2 (neg.f64 (sin.f64 x))))
	29.1b	(+.f64 (+.f64 -1/2 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) 2))) (-.f64 (+.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) 2)) 1/2) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
	32.5b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
	31.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	0.6b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1))
	28.8b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
▶	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x)))
▶	17.3b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	30.7b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
	19.1b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))))))
✓	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	15.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (/.f64 1 2) -1/2)))
	32.4b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
	32.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	29.1b	(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
▶	45.4b	(+.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) -2)))
	48.4b	(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
✓	32.5b	(*.f64 (cos.f64 x) eps)
✓	30.3b	(sin.f64 eps)
	46.4b	eps

Compiler

Compiled 1588 to 1183 computations (25.5% saved)

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
✓	0.2b	(*.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x))
✓	0.3b	(+.f64 -1/2 (cos.f64 eps))
✓	1.3b	(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)

Compiler

Compiled 53 to 26 computations (50.9% saved)

series29.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	eps	@	inf	(*.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x))
0.0ms	eps	@	-inf	(*.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x))
0.0ms	eps	@	0	(*.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x))
0.0ms	x	@	0	(*.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x))
0.0ms	eps	@	0	(-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2)

rewrite346.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`rational_best-4`
844×	`rational_best-2`
844×	`rational_best-3`
844×	`rational_best-1`
844×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	82	55
2	181	43
3	500	43
4	1874	43

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 -1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (cos.f64 eps)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) (+.f64 -1/2 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) (-.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4)) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (cos.f64 eps) 4) -1/4) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (cos.f64 eps) 4) -1/4) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 eps) 1/2) 1) (*.f64 (cos.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (cos.f64 eps) 2) 2))))) (#(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 2 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 -2 eps))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 -2 eps))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/2 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 1/2 (/.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) 1/2) (-.f64 (/.f64 (cos.f64 (neg.f64 eps)) 2) (+.f64 -1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) (+.f64 1/4 (/.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) (/.f64 (*.f64 -2 (+.f64 -1/2 (cos.f64 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/4 (cos.f64 eps)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 2) 2) (/.f64 (+.f64 1/4 (/.f64 (cos.f64 eps) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 4) (/.f64 (-.f64 1/2 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4)) 2) (/.f64 (+.f64 3/4 (/.f64 (cos.f64 eps) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 eps) 2) (-.f64 (*.f64 (cos.f64 eps) 2) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 eps) 4) (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 -2 eps))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 -2 eps))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1/2 (cos.f64 eps)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (*.f64 -2 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 2 (*.f64 (sin.f64 x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)))))

simplify547.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational_best-simplify-1`
1328×	`rational_best-simplify-66`
770×	`rational_best-simplify-47`
710×	`rational_best-simplify-50`
678×	`rational_best-simplify-56`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	3150
1	626	3102
2	1649	3038
3	5682	2996

Stop Event

1×	node limit

Counts

128 → 171

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1/2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1/2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1/2 (*.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(+.f64 -1/2 (+.f64 -1/2 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 -1/2 (cos.f64 eps)) -1/2)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (cos.f64 eps))
(+.f64 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)) (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)))
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (+.f64 -1/2 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4)))
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) 1/2))
(+.f64 (+.f64 -1/2 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4)) (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4))
(+.f64 (+.f64 (/.f64 (cos.f64 eps) 4) -1/4) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 3) 2) 2))
(+.f64 (+.f64 (/.f64 (cos.f64 eps) 4) -1/4) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 3) 4))
(+.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4))
(+.f64 (-.f64 (.f64 (cos.f64 eps) 1/2) 1) (.f64 (cos.f64 eps) 1/2))
(.f64 1/2 (-.f64 (.f64 (cos.f64 eps) 2) 2))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 2 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)))
(.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) 1/2)
(.f64 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)) 2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/8)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 4)) 8)
(/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)
(/.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(-.f64 -1/2 (neg.f64 (cos.f64 eps)))
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 0)
(-.f64 0 (-.f64 1/2 (cos.f64 eps)))
(-.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (cos.f64 eps) -2))
(-.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 1/2 (/.f64 (cos.f64 eps) -2)))
(-.f64 (*.f64 (cos.f64 eps) 1/2) (-.f64 (/.f64 (cos.f64 (neg.f64 eps)) 2) (+.f64 -1/2 (cos.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) (+.f64 1/4 (/.f64 (cos.f64 eps) -2)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (/.f64 (.f64 -2 (+.f64 -1/2 (cos.f64 eps))) 4))
(-.f64 (+.f64 -1/4 (cos.f64 eps)) 1/4)
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 2) 2) (/.f64 (+.f64 1/4 (/.f64 (cos.f64 eps) -2)) 2))
(-.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 4) (/.f64 (-.f64 1/2 (cos.f64 eps)) 4))
(-.f64 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4)) 2) (/.f64 (+.f64 3/4 (/.f64 (cos.f64 eps) -2)) 2))
(*.f64 (+.f64 -1/2 (cos.f64 eps)) 1)
(.f64 1/2 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2))
(*.f64 1 (+.f64 -1/2 (cos.f64 eps)))
(.f64 2 (.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2))
(.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 1/2)
(.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 -1/2 (cos.f64 eps)) 4))
(.f64 (.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 4) 1/8)
(/.f64 (+.f64 -1/2 (cos.f64 eps)) 1)
(/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 2)
(/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 4)
(/.f64 (.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 4) 8)
(/.f64 (+.f64 (.f64 (cos.f64 eps) 2) (-.f64 (.f64 (cos.f64 eps) 2) 2)) 4)
(/.f64 (+.f64 (.f64 (cos.f64 eps) 4) (.f64 (+.f64 (cos.f64 eps) -1) 4)) 8)
(/.f64 (-.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)
(pow.f64 (+.f64 -1/2 (cos.f64 eps)) 1)
(neg.f64 (-.f64 1/2 (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4) (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 2) 2))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 4))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) -2))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 -2 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 4))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 3)) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) -2) 2))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 3)) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 4))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 4)) 4)
(/.f64 (.f64 (.f64 (sin.f64 x) 4) (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 16)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (*.f64 (sin.f64 x) 4))) 8)
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
1/2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1/2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1/2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) 1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1/2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1/2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) 1/2) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1/2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1/2)))
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(.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 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))
(.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 (pow.f64 eps 6) (.f64 -1/720 (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (sin.f64 x)))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))) (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (pow.f64 eps 6) (.f64 -1/720 (sin.f64 x)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 (pow.f64 eps 8) (.f64 (sin.f64 x) 1/40320))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6))) (sin.f64 x)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 5) 1/120)) (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 -1/5040 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(+.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/120 (.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 5) 1/120))) (.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 1/120 (pow.f64 x 5)))) (.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))) (+.f64 (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/120 (.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))) (.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 -1/2 (+.f64 -1/2 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 -1/2 (cos.f64 eps)) -1/2)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)) (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (+.f64 -1/2 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) 1/2))
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (-.f64 (.f64 (cos.f64 eps) 1/2) 3/4))
(+.f64 (+.f64 -1/2 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4)) (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (/.f64 (cos.f64 eps) 4) -1/4) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 3) 2) 2))
(+.f64 (+.f64 -1/4 (/.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 3 (+.f64 (cos.f64 eps) -1)) 4))
(+.f64 -1/4 (/.f64 (+.f64 (cos.f64 eps) (*.f64 3 (+.f64 (cos.f64 eps) -1))) 4))
(+.f64 (+.f64 (/.f64 (cos.f64 eps) 4) -1/4) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 3) 4))
(+.f64 (+.f64 -1/4 (/.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 3 (+.f64 (cos.f64 eps) -1)) 4))
(+.f64 -1/4 (/.f64 (+.f64 (cos.f64 eps) (*.f64 3 (+.f64 (cos.f64 eps) -1))) 4))
(+.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4))
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) 1/2))
(+.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (-.f64 (.f64 (cos.f64 eps) 1/2) 3/4))
(+.f64 (-.f64 (.f64 (cos.f64 eps) 1/2) 1) (.f64 (cos.f64 eps) 1/2))
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (-.f64 (.f64 (cos.f64 eps) 2) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(.f64 2 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)))
(.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) 1/2)
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)) 2)
(.f64 2 (+.f64 -1/2 (.f64 (cos.f64 eps) 1/2)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 4)) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 eps) 2) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)
(/.f64 (-.f64 (-.f64 (*.f64 2 (cos.f64 eps)) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)
(-.f64 (/.f64 (-.f64 (*.f64 2 (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2) 1)
(+.f64 (/.f64 (-.f64 (*.f64 2 (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2) -1)
(-.f64 (cos.f64 eps) (+.f64 1 (/.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) 2)))
(/.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (-.f64 (.f64 2 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 eps -2))) 2)))) 2)
(-.f64 (/.f64 (-.f64 (.f64 2 (cos.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (.f64 eps -2) (+.f64 (PI.f64) (PI.f64))) 2)))) 2) 1)
(/.f64 (-.f64 (.f64 2 (cos.f64 eps)) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 eps -2))) 2)) 2))) 2)
(+.f64 (-.f64 (cos.f64 eps) (/.f64 (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (*.f64 eps -2) (+.f64 (PI.f64) (PI.f64))) 2))) 2)) -1)
(/.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) 2) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (-.f64 (.f64 2 (cos.f64 eps)) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 eps -2))) 2)))) 2)
(-.f64 (/.f64 (-.f64 (.f64 2 (cos.f64 eps)) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (.f64 eps -2) (+.f64 (PI.f64) (PI.f64))) 2)))) 2) 1)
(/.f64 (+.f64 -2 (-.f64 (.f64 2 (cos.f64 eps)) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 eps -2))) 2))))) 2)
(-.f64 (cos.f64 eps) (/.f64 (+.f64 2 (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (*.f64 eps -2) (+.f64 (PI.f64) (PI.f64))) 2)))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)
(/.f64 (-.f64 (-.f64 (*.f64 2 (cos.f64 eps)) 2) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2)
(-.f64 (/.f64 (-.f64 (*.f64 2 (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2) 1)
(+.f64 (/.f64 (-.f64 (*.f64 2 (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps))) 2) -1)
(-.f64 (cos.f64 eps) (+.f64 1 (/.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 -1/2 (neg.f64 (cos.f64 eps)))
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) 0)
(+.f64 -1/2 (cos.f64 eps))
(-.f64 0 (-.f64 1/2 (cos.f64 eps)))
(-.f64 (cos.f64 eps) 1/2)
(-.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (cos.f64 eps) -2))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 (cos.f64 eps) -2)) -1/2)
(+.f64 -1/2 (-.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 (cos.f64 eps) -2)))
(-.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 1/2 (/.f64 (cos.f64 eps) -2)))
(-.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 1/2 (/.f64 (cos.f64 eps) -2)))
(-.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (cos.f64 eps) -2))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 (cos.f64 eps) -2)) -1/2)
(+.f64 -1/2 (-.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 (cos.f64 eps) -2)))
(-.f64 (*.f64 (cos.f64 eps) 1/2) (-.f64 (/.f64 (cos.f64 (neg.f64 eps)) 2) (+.f64 -1/2 (cos.f64 eps))))
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 (neg.f64 eps)) 2) (*.f64 (cos.f64 eps) 1/2)))
(+.f64 (*.f64 (cos.f64 eps) 3/2) (neg.f64 (-.f64 (/.f64 (cos.f64 (neg.f64 eps)) 2) -1/2)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4) (+.f64 1/4 (/.f64 (cos.f64 eps) -2)))
(-.f64 (+.f64 -1/2 (*.f64 (cos.f64 eps) 1/2)) (/.f64 (cos.f64 eps) -2))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 (cos.f64 eps) -2)) -1/2)
(+.f64 -1/2 (-.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 (cos.f64 eps) -2)))
(-.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 1/2 (/.f64 (cos.f64 eps) -2)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (/.f64 (.f64 -2 (+.f64 -1/2 (cos.f64 eps))) 4))
(-.f64 (+.f64 (.f64 (cos.f64 eps) 1/2) -1/4) (/.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) -2) 4))
(-.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (/.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) -2) 4) 1/4))
(-.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (/.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) -4) 8) 1/4))
(-.f64 (+.f64 -1/4 (cos.f64 eps)) 1/4)
(-.f64 (+.f64 (cos.f64 eps) -1/4) 1/4)
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 2) 2) (/.f64 (+.f64 1/4 (/.f64 (cos.f64 eps) -2)) 2))
(-.f64 (/.f64 (*.f64 3 (+.f64 -1/2 (cos.f64 eps))) 4) (+.f64 1/8 (/.f64 (/.f64 (cos.f64 eps) -2) 2)))
(-.f64 (/.f64 (*.f64 3 (+.f64 -1/2 (cos.f64 eps))) 4) (+.f64 1/8 (/.f64 (cos.f64 eps) -4)))
(+.f64 (/.f64 (-.f64 (*.f64 3 (+.f64 -1/2 (cos.f64 eps))) (neg.f64 (cos.f64 eps))) 4) -1/8)
(-.f64 (/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 3) 4) (/.f64 (-.f64 1/2 (cos.f64 eps)) 4))
(/.f64 (-.f64 (*.f64 3 (+.f64 -1/2 (cos.f64 eps))) (-.f64 1/2 (cos.f64 eps))) 4)
(/.f64 (-.f64 (cos.f64 eps) (-.f64 1/2 (*.f64 3 (+.f64 -1/2 (cos.f64 eps))))) 4)
(-.f64 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4)) 2) (/.f64 (+.f64 3/4 (/.f64 (cos.f64 eps) -2)) 2))
(/.f64 (-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1/4)) (+.f64 (/.f64 (cos.f64 eps) -2) 3/4)) 2)
(-.f64 (+.f64 -1/8 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) 1/2)) 2)) (+.f64 (/.f64 (cos.f64 eps) -4) 3/8))
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (cos.f64 eps) -1/4)) 2) (+.f64 (/.f64 (cos.f64 eps) -4) 3/8))
(+.f64 (/.f64 (-.f64 (+.f64 -1/4 (*.f64 (cos.f64 eps) 3/2)) 3/4) 2) (/.f64 (cos.f64 eps) 4))
(*.f64 (+.f64 -1/2 (cos.f64 eps)) 1)
(+.f64 -1/2 (cos.f64 eps))
(.f64 1/2 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2))
(+.f64 -1/2 (cos.f64 eps))
(*.f64 1 (+.f64 -1/2 (cos.f64 eps)))
(+.f64 -1/2 (cos.f64 eps))
(.f64 2 (.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2))
(+.f64 -1/2 (cos.f64 eps))
(.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 1/2)
(+.f64 -1/2 (cos.f64 eps))
(.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 1/4)
(+.f64 -1/2 (cos.f64 eps))
(.f64 1/4 (.f64 (+.f64 -1/2 (cos.f64 eps)) 4))
(+.f64 -1/2 (cos.f64 eps))
(.f64 (.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 4) 1/8)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (+.f64 -1/2 (cos.f64 eps)) 1)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 2)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) 4)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) 4) 8)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (+.f64 (.f64 (cos.f64 eps) 2) (-.f64 (.f64 (cos.f64 eps) 2) 2)) 4)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (+.f64 (.f64 (cos.f64 eps) 4) (.f64 (+.f64 (cos.f64 eps) -1) 4)) 8)
(+.f64 -1/2 (cos.f64 eps))
(/.f64 (-.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (.f64 2 (+.f64 -1/2 (cos.f64 eps))) (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 eps -2))) 2)))) 2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (*.f64 eps -2) (+.f64 (PI.f64) (PI.f64))) 2))) 2))
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 eps -2))) 2))) 2))
(/.f64 (-.f64 (.f64 (+.f64 -1/2 (cos.f64 eps)) 2) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 -2 eps))) 2)))) 2)
(/.f64 (-.f64 (.f64 2 (+.f64 -1/2 (cos.f64 eps))) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (.f64 eps -2))) 2)))) 2)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (*.f64 eps -2) (+.f64 (PI.f64) (PI.f64))) 2))) 2))
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 eps -2))) 2))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 -1/2 (cos.f64 eps)) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)
(/.f64 (-.f64 (*.f64 4 (+.f64 -1/2 (cos.f64 eps))) (+.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)))) 4)
(-.f64 (+.f64 -1/2 (cos.f64 eps)) (/.f64 (-.f64 (cos.f64 (neg.f64 eps)) (cos.f64 eps)) 2))
(pow.f64 (+.f64 -1/2 (cos.f64 eps)) 1)
(+.f64 -1/2 (cos.f64 eps))
(neg.f64 (-.f64 1/2 (cos.f64 eps)))
(-.f64 (cos.f64 eps) 1/2)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4) (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 2) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) 3)) 4))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) -2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (/.f64 (.f64 -2 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 4))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 3)) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) -2) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 3)) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 4))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 2)) 2)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 x) 4)) 4)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (.f64 (sin.f64 x) 4) (*.f64 (+.f64 (cos.f64 eps) -1) 4)) 16)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (*.f64 (sin.f64 x) 4))) 8)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

localize29.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	4.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite418.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`rational_best-4`
1696×	`rational_best-2`
1696×	`rational_best-3`
1696×	`rational_best-1`
1696×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	64	17
2	209	17
3	709	17
4	3379	17

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) (-.f64 (sin.f64 (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) x) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) x) (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 1/2) x) (*.f64 (sin.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) x) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x 2)) (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (-.f64 x (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 x (*.f64 (sin.f64 x) (cos.f64 eps)))) (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (-.f64 x (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 x (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))) (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) 2) (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) 2) (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) (*.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (sin.f64 (+.f64 x eps))))))))

simplify686.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-1`
1130×	`rational_best-simplify-75`
1128×	`rational_best-simplify-76`
978×	`rational_best-simplify-56`
776×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1775
1	314	1571
2	695	1563
3	2485	1545
4	7610	1545

Stop Event

1×	node limit

Counts

69 → 81

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(*.f64 -1 x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (.f64 -1 x))
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (.f64 -1 x))
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (.f64 -1 x))
(-.f64 (sin.f64 x) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) x)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) x)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 0)
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) x))
(+.f64 (neg.f64 x) (sin.f64 (+.f64 x eps)))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) (-.f64 (sin.f64 (+.f64 x eps)) x))
(+.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) (neg.f64 (sin.f64 (+.f64 x eps))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x))
(+.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))
(+.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) x))
(+.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) x) (sin.f64 (+.f64 x eps)))
(+.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) x) (.f64 (sin.f64 (+.f64 x eps)) 1/2))
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) x) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))
(+.f64 (neg.f64 (/.f64 x 2)) (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)))
(+.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 x))
(+.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (-.f64 x (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))))
(+.f64 (neg.f64 (-.f64 x (.f64 (sin.f64 x) (cos.f64 eps)))) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (-.f64 x (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x))
(+.f64 (neg.f64 (-.f64 x (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))) (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) 2))
(+.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) 2) (/.f64 (neg.f64 x) 2))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) x))
(*.f64 (-.f64 x (sin.f64 (+.f64 x eps))) -1)
(.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) 1/2)
(*.f64 -1 (-.f64 x (sin.f64 (+.f64 x eps))))
(.f64 1/2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))
(.f64 (.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) 1/4)
(.f64 1/4 (.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)))
(.f64 (+.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) (.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))) 1/8)
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)
(/.f64 (-.f64 x (sin.f64 (+.f64 x eps))) -1)
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) 2)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))) 8)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)
(neg.f64 (-.f64 x (sin.f64 (+.f64 x eps))))

Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 3) -1/6))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))))
(+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (-.f64 (.f64 -1/2 (pow.f64 x 2)) -1))) (.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 x) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) x)
(-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) x)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) x)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))) x)
(-.f64 (+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))) x)
(-.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) -1))) x)
(-.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) x)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) x)
(-.f64 (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))) x)
(-.f64 (+.f64 (sin.f64 x) (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (*.f64 eps (cos.f64 x)))) x)
(-.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1/2 (pow.f64 eps 2)) -1)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 eps (cos.f64 x)))) x)
(-.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1)) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) x))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 0)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) x))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) x))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 x) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) (-.f64 (sin.f64 (+.f64 x eps)) x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) x))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) x))
(+.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) (neg.f64 (sin.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x) (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) x))
(+.f64 (.f64 (sin.f64 (+.f64 eps x)) 1/2) (-.f64 (.f64 (sin.f64 (+.f64 eps x)) 1/2) x))
(+.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))) x) (sin.f64 (+.f64 x eps)))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) x))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) x))
(+.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) x) (.f64 (sin.f64 (+.f64 x eps)) 1/2))
(+.f64 (.f64 (sin.f64 (+.f64 eps x)) 1/2) (-.f64 (.f64 (sin.f64 (+.f64 eps x)) 1/2) x))
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) x) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (/.f64 x 2)) (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (-.f64 x (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) x))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) x))
(+.f64 (neg.f64 (-.f64 x (.f64 (sin.f64 x) (cos.f64 eps)))) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (-.f64 x (.f64 (sin.f64 x) (cos.f64 eps)))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (neg.f64 (-.f64 x (*.f64 (sin.f64 0) (cos.f64 (+.f64 x eps))))) (neg.f64 (neg.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) x))
(+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) x))
(+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) 2))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) x) 2) (/.f64 (neg.f64 x) 2))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 (-.f64 x (sin.f64 (+.f64 x eps))) -1)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) 1/2)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 -1 (-.f64 x (sin.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(.f64 1/2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(.f64 (.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) 1/4)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(.f64 1/4 (.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(.f64 (+.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) (.f64 2 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))) 1/8)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(/.f64 (-.f64 x (sin.f64 (+.f64 x eps))) -1)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2) 2)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) 4)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2)) (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))) 8)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(neg.f64 (-.f64 x (sin.f64 (+.f64 x eps))))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (sin.f64 (+.f64 eps x)) -2)
✓	2.7b	(+.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) -2))
	4.8b	(sin.f64 (+.f64 eps x))
✓	15.6b	(+.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) -2)))

Compiler

Compiled 44 to 19 computations (56.8% saved)

series28.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(+.f64 (sin.f64 (+.f64 eps x)) -2)
0.0ms	x	@	0	(+.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) -2)))
0.0ms	x	@	0	(+.f64 (sin.f64 (+.f64 eps x)) -2)
0.0ms	x	@	inf	(+.f64 (sin.f64 (+.f64 eps x)) -2)
0.0ms	eps	@	0	(+.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) -2)))

rewrite694.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`rational_best-simplify-62`
800×	`rational_best-simplify-1`
564×	`rational_best-simplify-41`
522×	`rational_best-simplify-39`
516×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	111	49
2	320	49
3	1133	49
4	6168	49

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (+.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 (+.f64 (sin.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (-.f64 2 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (+.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (+.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (+.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (neg.f64 (-.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (+.f64 (+.f64 (sin.f64 x) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (+.f64 (neg.f64 (-.f64 2 (sin.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 2 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (+.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 2 (sin.f64 x)) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 2 (sin.f64 x)) (+.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) (neg.f64 (-.f64 -2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 2 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 2 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 2 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 2 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 2 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 -2 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (+.f64 (sin.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 x eps)) -4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 eps) x))) (+.f64 2 (*.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 eps) x))) 2) (*.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))) (*.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))))))

simplify775.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-65`
864×	`rational_best-simplify-50`
742×	`rational_best-simplify-64`
642×	`rational_best-simplify-1`
536×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	594	10370
1	1416	10256
2	3872	10128

Stop Event

1×	node limit

Counts

318 → 433

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(-.f64 (sin.f64 x) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) 2)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 2)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (sin.f64 eps) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) 2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps)))) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (+.f64 eps x)) 2)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 (+.f64 x eps))))
(-.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 0)))))
(-.f64 2 (+.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (+.f64 (sin.f64 x) -2) 2))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (-.f64 2 (sin.f64 x))) 2))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (+.f64 (sin.f64 x) 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 (+.f64 x eps)))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (+.f64 (sin.f64 x) -2))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (neg.f64 (-.f64 2 (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (+.f64 (+.f64 (sin.f64 x) -2) 0))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (+.f64 (neg.f64 (-.f64 2 (sin.f64 x))) 0))
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)
(-.f64 0 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(-.f64 0 (-.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 2 (sin.f64 (+.f64 x eps)))))
(-.f64 0 (+.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (+.f64 (sin.f64 x) -2)))
(-.f64 (-.f64 2 (sin.f64 x)) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)))
(-.f64 (-.f64 2 (sin.f64 x)) (+.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 0))
(-.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) 2))
(-.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) (neg.f64 (-.f64 -2 (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (sin.f64 x) (.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 (sin.f64 x) -2) (+.f64 2 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (-.f64 2 (sin.f64 x))) (+.f64 2 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) 0))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps))) (sin.f64 x)))
(-.f64 (-.f64 -2 (sin.f64 x)) (neg.f64 (+.f64 2 (sin.f64 (+.f64 x eps)))))
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 2)) -2)
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 2)) (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) (sin.f64 (+.f64 x eps))))
(-.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (-.f64 (*.f64 2 (sin.f64 (+.f64 x eps))) (sin.f64 x))))
(-.f64 (*.f64 2 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(-.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (+.f64 -2 (+.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) -2))))
(-.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (+.f64 (+.f64 (sin.f64 x) -2) (+.f64 (sin.f64 (+.f64 x eps)) -2)))
(-.f64 (*.f64 (sin.f64 x) -2) (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -4) (+.f64 (+.f64 (sin.f64 x) -2) -2))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -4) (+.f64 (neg.f64 (-.f64 2 (sin.f64 x))) -2))
(-.f64 (-.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) -2) (+.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) -2)))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 2 (sin.f64 x))) 2)
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 2 (sin.f64 x))) (-.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))
(-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))))
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(.f64 1/4 (.f64 2 (*.f64 2 (sin.f64 (+.f64 x eps)))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 2 (sin.f64 (+.f64 x eps))))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (*.f64 2 (sin.f64 (+.f64 x eps)))))
(*.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 (+.f64 x eps)) 2))
(/.f64 (sin.f64 (+.f64 x eps)) 1)
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1)
(/.f64 (*.f64 2 (sin.f64 (+.f64 x eps))) 2)
(/.f64 (.f64 2 (.f64 2 (sin.f64 (+.f64 x eps)))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 2 (cos.f64 x))) (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps)))) 2)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 2 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (.f64 (sin.f64 x) (*.f64 2 (cos.f64 eps)))) 2)
(/.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps)))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2))))) (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps)))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 2 (cos.f64 x)))) 2)
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps))))) 2)
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 2 (cos.f64 eps))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2))))) (.f64 (sin.f64 eps) (.f64 2 (cos.f64 x)))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2))))) (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps))))) 2)
(/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 eps (-.f64 (.f64 (PI.f64) 1/2) x))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 (+.f64 x (-.f64 (.f64 (PI.f64) 1/2) eps))) (cos.f64 (+.f64 x (-.f64 eps (.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (sin.f64 (+.f64 x eps)))) (.f64 2 (.f64 2 (sin.f64 (+.f64 x eps))))) 8)
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) 2)
(/.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (cos.f64 0)) -1)
(/.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (+.f64 (cos.f64 0) (cos.f64 0))) -2)
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(neg.f64 (neg.f64 (sin.f64 (+.f64 x eps))))
(cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) 2)
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(-.f64 (+.f64 2 (sin.f64 (+.f64 x eps))) 4)
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 2 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 2 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 2 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 2 (.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps)))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (+.f64 2 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 0))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 -2 (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 -2 (.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (+.f64 -2 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))))
(-.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) (+.f64 (sin.f64 (+.f64 x eps)) -2))
(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) -1) -1)
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -1) 1)
(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1) 1)
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -4) -2)
(-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps))))
(-.f64 (+.f64 -1 (/.f64 (sin.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 2))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 eps) x))) (+.f64 2 (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 eps) x)))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 eps) x))) 2) (.f64 (cos.f64 0) (sin.f64 (-.f64 (neg.f64 eps) x))))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)
(*.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) -2))
(.f64 (.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)))
(.f64 (.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))) 1/4)
(.f64 1/4 (.f64 2 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)
(/.f64 (*.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)) 2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2))) (.f64 2 (.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) -2)))) 8)
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) -2) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)))

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

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) 1) x))
✓	0.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
	1.4b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 38 to 16 computations (57.9% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite316.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`rational_best-4`
1480×	`rational_best-2`
1480×	`rational_best-3`
1480×	`rational_best-1`
1480×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	92	54
2	223	54
3	767	54
4	3455	54

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2) (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 x x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) (*.f64 x 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x)) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) 2) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2) (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x)) 2) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (/.f64 (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x))) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)))))))

simplify490.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

894×	`rational_best-simplify-3`
850×	`rational_best-simplify-50`
792×	`rational_best-simplify-63`
710×	`rational_best-simplify-97`
682×	`rational_best-simplify-85`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2472
1	341	2472
2	889	2412
3	3279	2408
4	7717	2408

Stop Event

1×	node limit

Counts

70 → 87

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 (cos.f64 x) eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 4)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 x x) 4)) 8)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) (*.f64 x 4)) 16)
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 0)
(-.f64 0 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)))
(-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (/.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) 2) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x))))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (+.f64 (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)) 2) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))))
(-.f64 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2) (/.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)) 2))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))
(-.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)))
(-.f64 (-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))
(-.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x))) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)
(.f64 1/2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2))
(.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)) -1)
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 4) 1/4)
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 4))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 1)
(/.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)) -1)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 2)
(/.f64 (.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2) 4) 8)
(pow.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 1)
(neg.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)))

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (.f64 1/24 (pow.f64 eps 4))))
(.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))
(.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 x (.f64 (pow.f64 eps 4) 1/24)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (.f64 (pow.f64 eps 6) -1/720))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 x (.f64 1/24 (pow.f64 eps 4))) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (.f64 (pow.f64 eps 4) 1/24))) (+.f64 (.f64 x (.f64 (pow.f64 eps 6) -1/720)) (.f64 x (.f64 (pow.f64 eps 8) 1/40320))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 x (.f64 1/24 (pow.f64 eps 4)))) (+.f64 (.f64 x (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (.f64 x (pow.f64 eps 8)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 x (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 (cos.f64 x) eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 x (.f64 (pow.f64 eps 4) 1/24)) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 x (.f64 1/24 (pow.f64 eps 4))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) -1))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) -1)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 1/24 (.f64 (sin.f64 eps) (pow.f64 x 4))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) x))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)) 2))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 4)) 4)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 x x) 4)) 8)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) (*.f64 x 4)) 16)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 0)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 0 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (/.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) 2) (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (+.f64 (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)) 2) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2) (/.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)) 2))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 2) (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 2)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (neg.f64 (.f64 (+.f64 (cos.f64 eps) -1) x))) (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 1/2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) x)) -1)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 4) 1/4)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 4))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 1)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)) -1)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 4) 4)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 2)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 2) 4) 8)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (cos.f64 x))) 1)
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(neg.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))

localize94.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
✓	0.3b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
✓	1.4b	(+.f64 -1 (cos.f64 eps))
✓	3.2b	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)

Compiler

Compiled 71 to 33 computations (53.5% saved)

series29.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
24.0ms	eps	@	inf	(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
0.0ms	eps	@	0	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)
0.0ms	x	@	0	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
0.0ms	eps	@	-inf	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
0.0ms	eps	@	inf	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))

rewrite378.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational_best-simplify-75`
1564×	`rational_best-simplify-76`
850×	`rational_best-simplify-1`
538×	`rational_best-simplify-47`
492×	`rational_best-simplify-56`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	132
1	122	132
2	281	126
3	979	120
4	4608	120

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (-.f64 (.f64 (cos.f64 eps) 2) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))))

simplify989.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational_best-simplify-67`
1146×	`rational_best-simplify-65`
1030×	`rational_best-simplify-3`
542×	`rational_best-simplify-56`
540×	`rational_best-simplify-75`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	10337
1	1108	10227
2	3000	10029

Stop Event

1×	node limit

Counts

251 → 302

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
-1
(-.f64 (*.f64 (cos.f64 x) eps) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (sin.f64 eps) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 0))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 0))
(-.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 1))
(-.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 -1 (+.f64 1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 -1 (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1))))
(-.f64 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 0))
(-.f64 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1)))
(-.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) -1)
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 0)
(-.f64 0 (-.f64 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1)))
(-.f64 0 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 -1 (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (neg.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 1) (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) (+.f64 1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))))
(-.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) -2)) -2)
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)) 1)
(-.f64 (/.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) (/.f64 (neg.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2))
(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) (-.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2)))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(-.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(-.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)))
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(-.f64 (-.f64 (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1)))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2)))
(/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2)) 4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2))) (.f64 2 (-.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) 2))) 4)
(/.f64 (+.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2)) 2)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) 2)) (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2)))) 4)
(/.f64 (+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2) (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2))) 8)
(pow.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1)
(neg.f64 (-.f64 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(+.f64 -1 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 0)
(+.f64 (+.f64 -1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(+.f64 1 (+.f64 -1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) -1)
(+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) 1))
(+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(-.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 0)
(-.f64 (+.f64 -1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(-.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) 1)
(-.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (*.f64 (sin.f64 x) 2))) 4)
(/.f64 (+.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (-.f64 (*.f64 (cos.f64 eps) 2) 2))) 16)
(pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)

Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (*.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) -1))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) -1/6)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (sin.f64 eps) (.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/2 (sin.f64 eps))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) (*.f64 (-.f64 1 (cos.f64 eps)) 1/6)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
-1
(-.f64 (*.f64 (cos.f64 x) eps) 1)
(+.f64 (*.f64 (cos.f64 x) eps) -1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) -1)
(+.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) -1)
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 1)
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (*.f64 (cos.f64 x) eps))) -1)
(+.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))) -1)
(+.f64 (+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) -1)
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
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(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 4)) (.f64 2 (+.f64 -2 (.f64 (sin.f64 x) (*.f64 -2 (-.f64 1 (cos.f64 eps))))))) 4)
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(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) 2)) (.f64 (sin.f64 eps) (.f64 2 (.f64 (cos.f64 x) 2)))) 4)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) 2) (.f64 2 (sin.f64 eps))) (.f64 2 (-.f64 (.f64 2 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 4)) (.f64 2 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 2 (sin.f64 x))) 2))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 4)) (.f64 2 (+.f64 -2 (.f64 (sin.f64 x) (*.f64 -2 (-.f64 1 (cos.f64 eps))))))) 4)
(/.f64 (+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) 2)) 2) (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2))) 2)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2)) (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 2))) 8)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(pow.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) 1)
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(neg.f64 (-.f64 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 -1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(+.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(+.f64 -1 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 -1 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 0)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 -1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 1 (+.f64 -1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) -1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) -1/2) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 0)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 -1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (/.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 x) 2)) 2)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (*.f64 (sin.f64 x) 2))) 4)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (+.f64 (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2))) (.f64 (+.f64 -1 (cos.f64 eps)) (.f64 2 (.f64 (sin.f64 x) 2)))) 8)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (.f64 2 (.f64 (sin.f64 x) 2)) (.f64 2 (-.f64 (*.f64 (cos.f64 eps) 2) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sin.f64 x))) (.f64 2 (-.f64 (*.f64 2 (cos.f64 eps)) 2))) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (cos.f64 eps)) 2) (.f64 (sin.f64 x) 4))) 16)
(/.f64 (.f64 (-.f64 (.f64 2 (cos.f64 eps)) 2) (.f64 4 (.f64 (sin.f64 x) 4))) 32)
(pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

eval4.2s (3.2%)

Compiler: Compiled 34329 to 17886 computations (47.9% saved)

prune3.3s (2.5%)

Pruning

65 alts after pruning (58 fresh and 7 done)

	Pruned	Kept	Total
New	1536	26	1562
Fresh	14	32	46
Picked	1	0	1
Done	2	7	9
Total	1553	65	1618

Error

0.1b

Counts

1618 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	60.6b	(-.f64 (-.f64 (-.f64 (.f64 (cos.f64 x) eps) 1) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	43.9b	(-.f64 (-.f64 (-.f64 (sin.f64 eps) 1) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
✓	29.1b	(-.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	45.3b	(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 2)) -2)
	59.4b	(-.f64 (-.f64 -1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
	45.9b	(-.f64 (+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) 1) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	29.2b	(-.f64 (+.f64 (+.f64 (+.f64 -1 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (cos.f64 x))) 1) (sin.f64 x))
	20.5b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	29.1b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)) 1)
	37.6b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
	29.0b	(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1)) (neg.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
	61.3b	(-.f64 (+.f64 -1 (+.f64 (sin.f64 x) 1)) (sin.f64 x))
	44.9b	(-.f64 (+.f64 -1 (+.f64 (sin.f64 eps) 1)) (sin.f64 x))
	45.9b	(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	46.9b	(-.f64 (+.f64 -1 (+.f64 1 (sin.f64 (+.f64 eps x)))) x)
	29.0b	(-.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (+.f64 (+.f64 -1 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x)))) 1))
	20.5b	(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))))
	0.5b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x))))
	0.6b	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (+.f64 (sin.f64 x) -2) 2))
	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (+.f64 (sin.f64 x) 2)))
✓	36.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.9b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 1/2 (PI.f64))))
	60.0b	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (neg.f64 x)))
	60.9b	(-.f64 (sin.f64 x) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	61.8b	(-.f64 (sin.f64 x) x)
	36.7b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.7b	(-.f64 (sin.f64 eps) (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)))
	45.5b	(-.f64 (sin.f64 eps) (cos.f64 (*.f64 1/2 (PI.f64))))
	38.7b	(-.f64 (sin.f64 eps) x)
	58.2b	(-.f64 (cos.f64 (neg.f64 x)) (sin.f64 x))
	59.3b	(-.f64 (cos.f64 (neg.f64 eps)) (sin.f64 x))
	32.5b	(+.f64 (/.f64 (.f64 (cos.f64 x) (.f64 eps 3)) 4) (/.f64 (*.f64 (cos.f64 x) eps) 4))
	60.9b	(+.f64 (-.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1) 1)
	60.8b	(+.f64 (-.f64 (*.f64 (cos.f64 x) eps) 1) 1)
	38.3b	(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (/.f64 x 2)) (neg.f64 (/.f64 x 2)))
	45.2b	(+.f64 (-.f64 (sin.f64 eps) 1) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
	45.0b	(+.f64 (-.f64 (sin.f64 eps) 1) 1)
	59.4b	(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
	29.1b	(+.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) -1) (+.f64 (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1))
	29.1b	(+.f64 (+.f64 -1/2 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) 2))) (-.f64 (+.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) 2)) 1/2) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
	32.5b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
	31.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	32.4b	(+.f64 (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (*.f64 (cos.f64 x) eps)))
	28.8b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
	0.6b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) 3/2) (neg.f64 (-.f64 (/.f64 (cos.f64 (neg.f64 eps)) 2) -1/2))) 1/2) (sin.f64 x)))
✓	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (+.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 x)))
✓	17.3b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) 1) x))
	15.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1/2 1/2) (sin.f64 x)))
	30.7b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
	19.1b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 (.f64 1/2 (PI.f64))) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))))))
✓	0.5b	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	32.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	29.1b	(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	45.5b	(+.f64 (neg.f64 (sin.f64 x)) (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) -4) -4))
	45.0b	(+.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (-.f64 (sin.f64 eps) 2)))
	48.4b	(+.f64 eps (.f64 (pow.f64 x 2) (.f64 eps -1/2)))
	61.3b	(+.f64 -1 1)
	45.3b	(+.f64 -2 (+.f64 (+.f64 (sin.f64 (+.f64 eps x)) 3) (-.f64 -1 (sin.f64 x))))
	61.3b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	32.5b	(*.f64 (cos.f64 x) eps)
✓	30.3b	(sin.f64 eps)
	61.9b	(neg.f64 x)
	46.4b	eps

Compiler

Compiled 895 to 679 computations (24.1% saved)

regimes1.0s (0.8%)

Counts

114 → 1

Calls

Call 1

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

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

Calls

3 calls:

322.0ms	x
223.0ms	eps
130.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 1585 to 727 computations (54.1% saved)

regimes731.0ms (0.5%)

Counts

68 → 1

Calls

Call 1

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

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

Calls

3 calls:

274.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
267.0ms	eps
102.0ms	x

Results

Error	Segments	Branch
15.5b	1	`x`
15.5b	1	`eps`
15.5b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 706 to 347 computations (50.8% saved)

regimes1.2s (0.9%)

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

557.0ms	eps
346.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
243.0ms	x

Results

Error	Segments	Branch
17.0b	3	`x`
15.0b	3	`eps`
15.6b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 507 to 243 computations (52.1% saved)

bsearch357.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
249.0ms	2.093731963392535	344.16592490613937
107.0ms	-0.0067643724867426465	-0.00043591454892492003

Results

159.0ms	135×	body	256	valid
157.0ms	51×	body	1024	valid
35.0ms	22×	body	512	valid

Compiler

Compiled 378 to 283 computations (25.1% saved)

regimes892.0ms (0.7%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

3 calls:

407.0ms	eps
275.0ms	x
162.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
17.2b	3	`x`
15.1b	3	`eps`
15.7b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 495 to 239 computations (51.7% saved)

bsearch236.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	2.093731963392535	344.16592490613937
123.0ms	-4.5828923715096047e-5	-1.9227568811483203e-6

Results

138.0ms	62×	body	1024	valid
73.0ms	132×	body	256	valid
11.0ms	23×	body	512	valid
8.0ms	7×	body	2048	valid

Compiler

Compiled 294 to 220 computations (25.2% saved)

regimes1.1s (0.8%)

Counts

48 → 3

Calls

Call 1

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

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

Calls

3 calls:

421.0ms	eps
257.0ms	x
142.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
17.2b	3	`x`
15.7b	3	`eps`
16.2b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 443 to 222 computations (49.9% saved)

bsearch227.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	2.093731963392535	344.16592490613937
103.0ms	-0.0067643724867426465	-0.00043591454892492003

Results

94.0ms	122×	body	256	valid
84.0ms	54×	body	1024	valid
40.0ms	28×	body	512	valid
5.0ms	4×	body	2048	valid

Compiler

Compiled 209 to 153 computations (26.8% saved)

regimes238.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

113.0ms	eps
110.0ms	x

Results

Error	Segments	Branch
17.5b	3	`x`
16.2b	3	`eps`

Compiler

Compiled 86 to 51 computations (40.7% saved)

bsearch223.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
119.0ms	2.093731963392535	344.16592490613937
104.0ms	-4.5828923715096047e-5	-1.9227568811483203e-6

Results

115.0ms	129×	body	256	valid
89.0ms	72×	body	1024	valid
9.0ms	19×	body	512	valid
5.0ms	4×	body	2048	valid

Compiler

Compiled 182 to 136 computations (25.3% saved)

regimes56.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

22.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
30.3b	1	`x`
30.3b	1	`eps`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes47.0ms (0%)

Accuracy

Total -16.2b remaining (-34.9%)

Threshold costs -16.2b (-34.9%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(+.f64 -1 1)

Outputs
eps

Calls

2 calls:

27.0ms	x
7.0ms	eps

Results

Error	Segments	Branch
46.4b	1	`x`
46.4b	1	`eps`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	384

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1/2 1/2) (sin.f64 x)))
(if (<=.f64 eps -8854437155380585/9223372036854775808) (+.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (if (<=.f64 eps 2476979795053773/1125899906842624) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1438846037749345/73786976294838206464) (+.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (if (<=.f64 eps 2476979795053773/1125899906842624) (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2132904783522667/1152921504606846976) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2476979795053773/1125899906842624) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/590295810358705651712) (sin.f64 eps) (if (<=.f64 eps 2476979795053773/1125899906842624) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (-.f64 1/2 1/2) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 0 (sin.f64 x)))
(if (<=.f64 eps -8854437155380585/9223372036854775808) (+.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (if (<=.f64 eps 2476979795053773/1125899906842624) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1438846037749345/73786976294838206464) (+.f64 (sin.f64 eps) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (if (<=.f64 eps 2476979795053773/1125899906842624) (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2132904783522667/1152921504606846976) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2476979795053773/1125899906842624) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/590295810358705651712) (sin.f64 eps) (if (<=.f64 eps 2476979795053773/1125899906842624) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 152 to 95 computations (37.5% saved)

soundness0.0ms (0%)

end235.0ms (0.2%)

Compiler: Compiled 138 to 60 computations (56.5% saved)