Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.7s (28.8%)

Results

2.7s	3949×	body	1024	valid
2.1s	2143×	body	2048	valid
770.0ms	1345×	body	512	valid
126.0ms	816×	body	256	valid
4.0ms	3×	body	4096	valid

Bogosity

preprocess20.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

92×	`rational_best-simplify-2`
48×	`rational_best-simplify-44`
20×	`rational_best-simplify-1`
14×	`rational_best-simplify-5`
12×	`trigometric-prior-simplify-11`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	45	42
2	78	42
3	90	42
4	107	42
5	122	42
6	127	42
7	148	42
8	168	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

72×	`rational_best-simplify-2`
38×	`rational_best-simplify-44`
14×	`rational_best-simplify-1`
12×	`rational_best-simplify-5`
8×	`trigometric-prior-simplify-11`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	32	21
2	57	21
3	67	21
4	80	21
5	91	21
6	94	21
7	112	21
8	129	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

38.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	1.9b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite217.0ms (1.1%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

802×	`rational_best-5`
802×	`rational_best-2`
802×	`rational_best-3`
802×	`rational_best-1`
802×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	88	32
2	395	32
3	1504	32
4	6987	32
0	7	11
1	65	11
2	283	11
3	1093	11
4	4909	11
0	7	11
1	65	11
2	283	11
0	9	21
1	88	21
2	395	21
3	1504	21
4	6987	21
0	9	21
1	88	21
2	395	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 27

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cis.f64 x) (cis.f64 eps)) (/.f64 1 (*.f64 (cis.f64 x) (cis.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (cis.f64 x) (cis.f64 eps)) (I.f64)) (*.f64 (/.f64 1 (*.f64 (cis.f64 x) (cis.f64 eps))) (I.f64))) (-.f64 (+.f64 (I.f64) (I.f64)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 2)))))

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

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational_best-simplify-132`
936×	`rational_best-simplify-1`
926×	`rational_best-simplify-48`
836×	`rational_best-simplify-44`
812×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	4294969005
1	297	4294968979
2	703	4294968929
3	2352	4294968929
4	4094	4294968929

Stop Event

1×	node limit

Counts

75 → 105

Calls

Call 1

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

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

eval25.0ms (0.1%)

Compiler: Compiled 1877 to 846 computations (54.9% saved)

prune104.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	87	18	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	19	106

Error

12.1b

Counts

106 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(-.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	38.5b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	38.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.3b	(-.f64 (cos.f64 x) (cos.f64 x))
	38.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	37.9b	(-.f64 (cos.f64 eps) 1)
	30.5b	(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4))))
▶	30.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
▶	36.3b	(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) -1))
	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	39.6b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (neg.f64 x)))))
	39.7b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))))
▶	39.6b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
	47.4b	(.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	47.4b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	34.8b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 707 to 464 computations (34.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 25 computations (46.8% saved)

series8.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite399.0ms (2%)

Algorithm

3×	egg-rewrite-iter-limit
4×	egg-rewrite
1×	batch-egg-rewrite

Rules

1302×	`rational_best-5`
1300×	`rational_best-4`
1300×	`rational_best-2`
1300×	`rational_best-3`
1300×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	94
1	131	94
2	485	94
3	1910	94
0	8	15
1	76	15
2	314	15
3	1189	15
4	5507	15
0	8	15
1	76	15
2	314	15
0	11	23
1	93	23
2	354	23
3	1401	23
4	6689	23
0	11	23
1	93	23
2	354	23
0	7	13
1	50	13
2	155	13
3	614	13
4	2711	13
0	15	43
1	131	43
2	485	43
3	1910	43
0	15	43
1	131	43

Stop Event

1×	iter limit
1×	node limit
1×	node limit
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	node limit

Counts

4 → 27

Calls

Call 1

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

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

simplify435.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

914×	`rational_best-simplify-82`
892×	`rational_best-simplify-74`
856×	`rational_best-simplify-2`
750×	`rational_best-simplify-83`
740×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	2905
1	245	2695
2	563	2653
3	1444	2653
4	2596	2653
5	4301	2653
6	7029	2653

Stop Event

1×	node limit

Counts

99 → 86

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(/.f64 (.f64 (sin.f64 x) (.f64 eps -2)) 2)
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) 0)
(+.f64 0 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))
(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) 0)
(/.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) 1)
(/.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (/.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1)) 2)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(-.f64 0 (/.f64 (pow.f64 eps 2) 2))
(/.f64 (pow.f64 eps 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(/.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(/.f64 (neg.f64 (pow.f64 eps 2)) 2)
(neg.f64 (/.f64 (pow.f64 eps 2) 2))
(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 0)
(.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))))
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
(/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite142.0ms (0.7%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

514×	`rational_best-5`
514×	`rational_best-2`
514×	`rational_best-3`
514×	`rational_best-1`
512×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	63	11
2	264	11
3	985	11
4	4401	11
0	7	11
1	63	11
2	264	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 14

Calls

Call 1

Inputs
(-.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 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 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps))) 2) 2)))))

simplify176.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1734×	`rational_best-simplify-78`
898×	`rational_best-simplify-132`
742×	`rational_best-simplify-2`
706×	`rational_best-simplify-54`
580×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	314
1	94	314
2	239	314
3	997	314
4	2635	314
5	5374	314

Stop Event

1×	node limit

Counts

18 → 23

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 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (cos.f64 eps))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (-.f64 (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps))) 2) 2)

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 1/40320 (pow.f64 eps 8)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))))
(+.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 (+.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 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 (+.f64 (cis.f64 eps) (cis.f64 (neg.f64 eps))) 2) 2)
(+.f64 (cos.f64 eps) -1)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.0b	(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	2.4b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 30 to 12 computations (60% saved)

series4.0ms (0%)

Counts

4 → 64

Calls

18 calls:

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

rewrite353.0ms (1.8%)

Algorithm

4×	egg-rewrite-iter-limit
4×	egg-rewrite
1×	batch-egg-rewrite

Rules

882×	`rational_best-simplify-44`
876×	`rational_best-simplify-44`
850×	`rational_best-5`
850×	`rational_best-2`
850×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	111	62
2	428	62
3	1650	62
4	7742	62
0	7	11
1	65	11
2	264	11
3	984	11
4	4408	11
0	7	11
1	65	11
2	264	11
0	8	15
1	76	15
2	314	15
3	1189	15
4	5507	15
0	8	15
1	76	15
2	314	15
0	12	31
1	111	31
2	428	31
3	1650	31
4	7751	31
0	12	31
1	111	31
2	428	31
0	4	5
1	44	5
2	207	5
3	772	5
4	3564	5
0	4	5
1	44	5
2	207	5

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

4 → 43

Calls

Call 1

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

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

simplify201.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-47`
912×	`rational_best-simplify-43`
764×	`rational_best-simplify-78`
702×	`rational_best-simplify-80`
640×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	2341
1	296	2213
2	844	2177
3	2765	2177
4	5352	2177

Stop Event

1×	node limit

Counts

107 → 107

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (neg.f64 (sin.f64 eps)))
✓	2.4b	(+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))
✓	3.8b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
✓	8.4b	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))

Compiler

Compiled 98 to 54 computations (44.9% saved)

series7.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
1.0ms	x	@	0	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
1.0ms	eps	@	inf	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
0.0ms	eps	@	0	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
0.0ms	eps	@	0	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))

rewrite188.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`rational_best-5`
1182×	`rational_best-2`
1182×	`rational_best-3`
1182×	`rational_best-1`
1180×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	168	126
2	584	126
3	2307	126

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

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

simplify316.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

916×	`rational_best-simplify-49`
912×	`rational_best-simplify-132`
894×	`rational_best-simplify-2`
764×	`rational_best-simplify-43`
526×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	178	4779
1	384	4645
2	1164	4645
3	2887	4645
4	6577	4645

Stop Event

1×	node limit

Counts

129 → 127

Calls

Call 1

Inputs
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2))))
(+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 eps 7) x)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x)))))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(+.f64 0 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 1)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) 0)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (*.f64 x (neg.f64 (sin.f64 eps))))) 1)
(.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) 1)
(.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) 2)
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 1)
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))
(.f64 (/.f64 (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(.f64 (/.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
(/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)
(+.f64 0 (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)
(/.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)
(/.f64 (.f64 x (neg.f64 (sin.f64 eps))) (/.f64 (.f64 x (neg.f64 (sin.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))))
(/.f64 (.f64 x (.f64 (sin.f64 eps) -2)) 2)

Outputs
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 eps 2)))
(.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))))
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(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) 1)
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (/.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) 2)
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (/.f64 (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (/.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)
(/.f64 (+.f64 (neg.f64 (cos.f64 eps)) 1) 2)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 eps))) 2)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)
(.f64 x (.f64 -1 (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(+.f64 0 (*.f64 x (neg.f64 (sin.f64 eps))))
(.f64 x (.f64 -1 (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)
(.f64 x (.f64 -1 (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(/.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)
(.f64 x (.f64 -1 (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(/.f64 (.f64 x (neg.f64 (sin.f64 eps))) (/.f64 (.f64 x (neg.f64 (sin.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))))
(.f64 x (.f64 -1 (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(/.f64 (.f64 x (.f64 (sin.f64 eps) -2)) 2)
(/.f64 (.f64 (sin.f64 eps) (.f64 x -2)) 2)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	1.9b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 72 to 16 computations (77.8% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite231.0ms (1.2%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

918×	`rational_best-5`
918×	`rational_best-2`
918×	`rational_best-3`
918×	`rational_best-1`
918×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	107	80
2	447	80
3	1740	80
0	12	53
1	107	53
2	447	53
3	1740	53
0	12	53
1	107	53
0	11	27
1	99	27
2	419	27
3	1606	27
4	7461	27
0	11	27
1	99	27
2	419	27

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	node limit
1×	node limit

Counts

2 → 15

Calls

Call 1

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

Outputs

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

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

simplify289.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

832×	`rational_best-simplify-54`
810×	`rational_best-simplify-1`
792×	`rational_best-simplify-47`
612×	`rational_best-simplify-49`
582×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	131	2189
1	285	2143
2	548	2139
3	1214	2139
4	3549	2137
5	6098	2137

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (sin.f64 eps) x) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (sin.f64 eps)) (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2))))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/24 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 -1/12 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(-.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 0)
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(+.f64 0 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(*.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (sin.f64 eps) x) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (pow.f64 x 2))) (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (pow.f64 x 2))) (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (neg.f64 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (neg.f64 (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (neg.f64 (pow.f64 x 2))) (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (sin.f64 eps)) (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2))))))
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(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 (.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (/.f64 (.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (neg.f64 (+.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 (.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (pow.f64 x 3))))))
(+.f64 (neg.f64 (+.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 (.f64 (sin.f64 eps) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (pow.f64 x 3)))) (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 eps (.f64 -1 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))) (neg.f64 eps))) (/.f64 1 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 eps (neg.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))))) (/.f64 1 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/24 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 -1/12 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))) (+.f64 (.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -1/12) (.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) 1/24))))) (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 eps (.f64 -1 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (neg.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -1/24)))) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))) (neg.f64 eps)))) (/.f64 1 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (+.f64 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -1/24)))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -1/24)))))) (/.f64 1 (*.f64 eps (sin.f64 x))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 0)
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(+.f64 0 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(-.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 0)
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1)
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(+.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 0 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

eval275.0ms (1.4%)

Compiler: Compiled 22433 to 9971 computations (55.6% saved)

prune186.0ms (0.9%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	687	20	707
Fresh	1	12	13
Picked	1	0	1
Done	0	5	5
Total	689	37	726

Error

12.0b

Counts

726 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(-.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	38.5b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	38.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.3b	(-.f64 (cos.f64 x) (cos.f64 x))
	38.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) 1)
	30.5b	(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4))))
✓	30.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
✓	36.3b	(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) -1))
▶	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	46.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	50.1b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.6b	(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
	39.7b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))))
✓	39.6b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
	47.7b	(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))))
	47.4b	(.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	48.8b	(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
▶	46.7b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	47.1b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	47.8b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 eps) 1)))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
	47.4b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
▶	46.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	47.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	61.6b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 -1 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	62.1b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	47.4b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	34.8b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	51.7b	(*.f64 eps (neg.f64 x))
	49.6b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 1996 to 1095 computations (45.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
✓	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	1.2b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
✓	5.6b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))

Compiler

Compiled 77 to 49 computations (36.4% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	x	@	0	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	eps	@	inf	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
0.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`rational_best-5`
1152×	`rational_best-2`
1152×	`rational_best-3`
1152×	`rational_best-1`
1150×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	166	107
2	576	107
3	2264	107

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))

(*.f64 1/6 (pow.f64 eps 3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 2 (sin.f64 x))) 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 eps 3)) (/.f64 (*.f64 1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1/3) 2)))))

simplify233.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

902×	`rational_best-simplify-2`
766×	`rational_best-simplify-78`
686×	`rational_best-simplify-24`
678×	`rational_best-simplify-29`
664×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	3652
1	243	3496
2	720	3496
3	1669	3496
4	3890	3496
5	6741	3496

Stop Event

1×	node limit

Counts

76 → 86

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize93.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (+.f64 (cos.f64 eps) -1))
✓	0.2b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
✓	0.2b	(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
	2.4b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 26 computations (38.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite227.0ms (1.1%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

846×	`rational_best-simplify-47`
846×	`rational_best-simplify-47`
784×	`rational_best-5`
784×	`rational_best-2`
784×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	97	55
2	363	55
3	1456	55
4	6582	55
0	8	27
1	73	27
2	293	27
3	1111	27
4	5304	27
0	8	27
1	73	27
2	293	27
0	11	11
1	97	11
2	363	11
3	1455	11
4	6582	11
0	11	11
1	97	11
2	363	11
0	9	17
1	76	17
2	288	17
3	1086	17
4	4908	17
0	9	17
1	76	17
2	288	17

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 29

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.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 (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 (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 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cis.f64 eps) (/.f64 1 (cis.f64 eps))) 2) 2)))))

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

simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1762×	`rational_best-simplify-78`
1028×	`rational_best-simplify-132`
956×	`rational_best-simplify-1`
804×	`rational_best-simplify-44`
628×	`rational_best-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1359
1	190	1359
2	327	1359
3	756	1359
4	2676	1359
5	5967	1359

Stop Event

1×	node limit

Counts

65 → 62

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 eps 4))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (.f64 -1/24 (pow.f64 eps 6)))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (.f64 1/320 (pow.f64 eps 8)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(/.f64 -2 (pow.f64 eps 2))
(neg.f64 (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (.f64 -1/120 (pow.f64 eps 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 -1/3024 (pow.f64 eps 4)) (.f64 -1/120 (pow.f64 eps 2))) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 0)
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 0)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 2) 2)
(fabs.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(fabs.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))
(fabs.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (fabs.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))
(fabs.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (-.f64 0 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (-.f64 (+.f64 (cis.f64 eps) (/.f64 1 (cis.f64 eps))) 2) 2)
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 0)
(+.f64 0 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(-.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))))

Outputs
(*.f64 1/4 (pow.f64 eps 4))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (.f64 -1/24 (pow.f64 eps 6)))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (.f64 -1/24 (pow.f64 eps 6)) (+.f64 (.f64 1/320 (pow.f64 eps 8)) (*.f64 1/4 (pow.f64 eps 4))))
(+.f64 (.f64 -1/24 (pow.f64 eps 6)) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (.f64 1/320 (pow.f64 eps 8)))))
(+.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (.f64 1/320 (pow.f64 eps 8))) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (.f64 -17/120960 (pow.f64 eps 10))))
(+.f64 (.f64 1/320 (pow.f64 eps 8)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 eps 4)) (.f64 -1/24 (pow.f64 eps 6))) (.f64 -17/120960 (pow.f64 eps 10))))
(+.f64 (.f64 -1/24 (pow.f64 eps 6)) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 1/320 (pow.f64 eps 8)) (.f64 -17/120960 (pow.f64 eps 10)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.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 (pow.f64 eps 4) 1/24))
(+.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 (pow.f64 eps 4) 1/24) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 6) -1/720) (*.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (*.f64 (pow.f64 eps 6) -1/720)))
(+.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 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320)) (.f64 (pow.f64 eps 4) 1/24)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 6) -1/720) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 8) 1/40320))))
(+.f64 (.f64 (pow.f64 eps 6) -1/720) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 8) 1/40320))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 -2 (pow.f64 eps 2))
(neg.f64 (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (.f64 -1/120 (pow.f64 eps 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (.f64 (pow.f64 eps 2) -1/120) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 -1/3024 (pow.f64 eps 4)) (.f64 -1/120 (pow.f64 eps 2))) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) -1/120) (.f64 (pow.f64 eps 4) -1/3024)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) 2) 2)
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(fabs.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (fabs.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (-.f64 0 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.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 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 (+.f64 (cis.f64 eps) (/.f64 1 (cis.f64 eps))) 2) 2)
(+.f64 (cos.f64 eps) -1)
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 0)
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 0 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(-.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 0)
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(/.f64 1 (+.f64 (cos.f64 eps) -1))

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	1.9b	(cos.f64 (+.f64 x eps))
✓	2.3b	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 73 to 18 computations (75.3% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite307.0ms (1.5%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

790×	`rational_best-5`
790×	`rational_best-2`
790×	`rational_best-3`
790×	`rational_best-1`
790×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	91	36
2	390	36
3	1479	36
4	6898	36
0	8	15
1	80	15
2	366	15
3	1379	15
4	6392	15
0	8	15
1	80	15
2	366	15
0	10	21
1	91	21
2	390	21
3	1479	21
4	6899	21
0	10	21
1	91	21
2	390	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 22

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))

Outputs

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

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

simplify191.0ms (1%)

Algorithm

1×	egg-herbie

Rules

890×	`rational_best-simplify-132`
796×	`rational_best-simplify-54`
718×	`rational_best-simplify-47`
654×	`rational_best-simplify-80`
610×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1790
1	259	1788
2	431	1740
3	860	1740
4	2971	1740
5	6982	1740

Stop Event

1×	node limit

Counts

38 → 77

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 4)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 4)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))) (-.f64 (cos.f64 eps) 1))) (*.f64 1/720 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 6))))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0)
(+.f64 0 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (cos.f64 eps))))
(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) 2)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) 0)
(+.f64 0 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) 0)
(*.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))

Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (.f64 1/24 (pow.f64 eps 4)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))) -1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (cos.f64 eps))) -1)
(+.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))) -1)
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))) -1)
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) -1))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 1/720 (pow.f64 x 6)))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))
(+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/48) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x)))))))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/48) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x)))))))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/48) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x))))))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) 1/48) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (-.f64 1 (cos.f64 x))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 4)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(+.f64 (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 4)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))) (-.f64 (cos.f64 eps) 1))) (*.f64 1/720 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 6))))))
(+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (+.f64 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (+.f64 (cos.f64 eps) -1))) (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (.f64 -1 (pow.f64 x 6))) (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))
(+.f64 (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (+.f64 (neg.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (+.f64 (cos.f64 eps) -1))) (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (+.f64 (cos.f64 eps) -1))) (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (neg.f64 (pow.f64 x 6))))))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (+.f64 (cos.f64 eps) -1))) (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (neg.f64 (pow.f64 x 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 0 (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (cos.f64 eps))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (cos.f64 eps))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) 2)
(/.f64 (*.f64 2 (-.f64 (cos.f64 eps) (cos.f64 x))) 2)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) 0)
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 0 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) 0)
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) 1)
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))

localize264.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	0.2b	(.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
✓	0.6b	(/.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
✓	38.0b	(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))

Compiler

Compiled 139 to 69 computations (50.4% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite308.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`rational_best-simplify-47`
1252×	`rational_best-5`
1252×	`rational_best-2`
1252×	`rational_best-3`
1252×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	183
1	163	183
2	584	183
3	2382	183

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational_best-simplify-129`
1184×	`rational_best-simplify-44`
1000×	`rational_best-simplify-132`
584×	`rational_best-simplify-2`
582×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	249	8301
1	508	8135
2	991	8135
3	3030	8135

Stop Event

1×	node limit

Counts

125 → 141

Calls

Call 1

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

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

eval1.0s (5.1%)

Compiler: Compiled 28571 to 14913 computations (47.8% saved)

prune450.0ms (2.3%)

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	725	18	743
Fresh	8	19	27
Picked	1	0	1
Done	2	7	9
Total	736	44	780

Error

11.9b

Counts

780 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(-.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
▶	38.5b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	38.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.3b	(-.f64 (cos.f64 x) (cos.f64 x))
	38.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) 1)
	30.5b	(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4))))
▶	30.1b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
✓	30.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
✓	36.3b	(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) -1))
	46.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	50.1b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.6b	(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
	39.7b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))))
✓	39.6b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
	47.7b	(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))))))
	47.4b	(.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	51.8b	(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))
	57.8b	(.f64 (/.f64 1 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
	46.7b	(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
	63.3b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (cos.f64 eps) -1)))
	46.7b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))
▶	46.7b	(.f64 (/.f64 1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	46.7b	(.f64 (/.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 eps) 1)))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))))
	46.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))))
✓	46.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	46.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
	47.4b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
	47.4b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
	47.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	62.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	46.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	62.1b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	37.7b	(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))))
	46.7b	(.f64 (.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	34.8b	(*.f64 (sin.f64 x) (neg.f64 eps))
	59.0b	(.f64 (neg.f64 (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 eps 2))))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
✓	51.7b	(*.f64 eps (neg.f64 x))
▶	49.6b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 2325 to 1437 computations (38.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	1.2b	(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
✓	5.6b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series12.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Expression
5.0ms	x	@	(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
5.0ms	x	@	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
0.0ms	eps	@	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
0.0ms	eps	@	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
0.0ms	x	@	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`rational_best-5`
1120×	`rational_best-2`
1120×	`rational_best-3`
1120×	`rational_best-1`
1118×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	109
1	154	109
2	542	109
3	2185	109

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))) (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/3) (+.f64 eps eps))) 2)))))

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

simplify242.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

924×	`rational_best-simplify-2`
722×	`rational_best-simplify-78`
686×	`rational_best-simplify-24`
678×	`rational_best-simplify-29`
662×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	4260
1	272	4032
2	747	4032
3	1668	4032
4	3807	4032
5	6530	4032

Stop Event

1×	node limit

Counts

96 → 103

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 1/120 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (.f64 -1/5040 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 7))) (.f64 1/120 (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 5))))))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 0)
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) 2)
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 0)
(+.f64 0 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(-.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 0)
(/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 1)
(/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 eps 3) 1/3) (+.f64 eps eps))) 2)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) (cos.f64 x)) (.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
✓	0.4b	(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
	1.9b	(cos.f64 (+.f64 x eps))
✓	9.3b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 64 to 16 computations (75% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational_best-5`
1166×	`rational_best-2`
1166×	`rational_best-3`
1166×	`rational_best-1`
1164×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	134	59
2	614	59
3	2282	59

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

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

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

(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cis.f64 x) (cis.f64 eps)) (/.f64 1 (*.f64 (cis.f64 x) (cis.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (cis.f64 x) (cis.f64 eps)) (I.f64)) (*.f64 (/.f64 1 (*.f64 (cis.f64 x) (cis.f64 eps))) (I.f64))) (+.f64 (I.f64) (I.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x eps))))))

simplify202.0ms (1%)

Algorithm

1×	egg-herbie

Rules

960×	`rational_best-simplify-2`
704×	`rational_best-simplify-132`
688×	`rational_best-simplify-1`
600×	`rational_best-simplify-129`
528×	`rational_best-simplify-135`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	253	4294971786
1	625	4294971708
2	1535	4294971708
3	3399	4294971672
4	6942	4294971644

Stop Event

1×	node limit

Counts

136 → 188

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	0.2b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	0.2b	(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
	2.4b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 88 to 56 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

eps

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))

0.0ms

eps

inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))

0.0ms

eps

-inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))

rewrite56.0ms (0.3%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

846×	`rational_best-simplify-47`
788×	`rational_best-5`
788×	`rational_best-2`
788×	`rational_best-3`
788×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	116	11
2	382	11
3	1477	11
4	6605	11
0	13	11
1	116	11
2	382	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 10

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.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 -1 (cos.f64 eps))))) (#(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 (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 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cis.f64 eps) (/.f64 1 (cis.f64 eps))) 2) 2)))))

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational_best-simplify-82`
1210×	`rational_best-simplify-83`
1098×	`rational_best-simplify-80`
1028×	`rational_best-simplify-47`
1024×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	358
1	83	358
2	149	358
3	307	358
4	1147	358
5	3351	358
6	6667	358

Stop Event

1×	node limit

Counts

22 → 18

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (-.f64 (+.f64 (cis.f64 eps) (/.f64 1 (cis.f64 eps))) 2) 2)

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 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.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 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (-.f64 (+.f64 (cis.f64 eps) (/.f64 1 (cis.f64 eps))) 2) 2)
(+.f64 (cos.f64 eps) -1)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	1.9b	(cos.f64 (+.f64 x eps))
✓	2.5b	(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
✓	10.0b	(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))

Compiler

Compiled 127 to 50 computations (60.6% saved)

series9.0ms (0%)

Counts

2 → 31

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
2.0ms	x	@	inf	(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
1.0ms	eps	@	inf	(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
1.0ms	eps	@	-inf	(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`rational_best-5`
1290×	`rational_best-2`
1290×	`rational_best-3`
1290×	`rational_best-1`
1288×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	124
1	166	124
2	626	124
3	2502	124

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify224.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1028×	`rational_best-simplify-2`
938×	`rational_best-simplify-1`
742×	`rational_best-simplify-78`
656×	`rational_best-simplify-43`
646×	`rational_best-simplify-24`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	180	4165
1	374	4055
2	936	4055
3	1992	3991
4	4284	3991
5	6868	3895

Stop Event

1×	node limit

Counts

61 → 89

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (.f64 -1/12 (-.f64 (cos.f64 eps) 1)) (*.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) eps)) (+.f64 (.f64 1/6 (sin.f64 eps)) (.f64 -1/6 (/.f64 (-.f64 (cos.f64 eps) 1) eps)))) x) (+.f64 (.f64 -1/12 (-.f64 (cos.f64 eps) 1)) (.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
1
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) eps) 1)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) eps) (+.f64 1 (.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) eps) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/24 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/12 (/.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3)) (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 eps (sin.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) eps)))
(/.f64 1/2 (pow.f64 x 2))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (.f64 eps x)))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1/12 (/.f64 1 (.f64 eps x))))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 x eps)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1/12 (/.f64 1 (*.f64 eps x))))
(/.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(+.f64 0 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)
(+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 1 (.f64 (sin.f64 x) eps))))
(+.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) 0)
(+.f64 0 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (sin.f64 x) eps))) (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 0 (.f64 2 (/.f64 1 (.f64 (sin.f64 x) eps)))))
(.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))) 1)
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))))
(.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)) -1)
(.f64 (/.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))))
(.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (/.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))))
(.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))))) (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps))))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 1 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps)))))
(/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) 1)
(/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))))
(/.f64 (+.f64 (/.f64 1 (*.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)) -1)
(/.f64 (.f64 2 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps)))) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)) 2) -2)
(neg.f64 (+.f64 (/.f64 1 (*.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))
(*.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (.f64 -1 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (*.f64 -1/2 (/.f64 (sin.f64 eps) x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (.f64 -1/12 (-.f64 (cos.f64 eps) 1)) (*.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (.f64 (+.f64 (cos.f64 eps) -1) -1/12)) (+.f64 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (/.f64 (sin.f64 eps) eps)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (+.f64 (cos.f64 eps) -1) -1/12))))))
(+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (/.f64 (sin.f64 eps) eps))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (.f64 -1/2 (/.f64 (sin.f64 eps) x)))) (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (/.f64 (sin.f64 eps) eps) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (.f64 (+.f64 (cos.f64 eps) -1) -1/12)) (+.f64 (+.f64 (/.f64 (sin.f64 eps) eps) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (.f64 -1/2 (/.f64 (sin.f64 eps) x)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) eps)) (+.f64 (.f64 1/6 (sin.f64 eps)) (.f64 -1/6 (/.f64 (-.f64 (cos.f64 eps) 1) eps)))) x) (+.f64 (.f64 -1/12 (-.f64 (cos.f64 eps) 1)) (.f64 1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))))))
(+.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (.f64 x (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) eps)) (+.f64 (.f64 (sin.f64 eps) 1/6) (.f64 -1/6 (/.f64 (+.f64 (cos.f64 eps) -1) eps))))))) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 (sin.f64 eps) eps))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (.f64 -1 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (.f64 x (+.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) eps)) (+.f64 (.f64 (sin.f64 eps) 1/6) (.f64 -1/6 (/.f64 (+.f64 (cos.f64 eps) -1) eps)))))))))))
(+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))) (+.f64 (.f64 x (+.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) eps)) (+.f64 (.f64 (sin.f64 eps) 1/6) (.f64 -1/6 (/.f64 (+.f64 (cos.f64 eps) -1) eps))))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (/.f64 (sin.f64 eps) eps)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (.f64 x (+.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) eps)) (+.f64 (.f64 (sin.f64 eps) 1/6) (.f64 -1/6 (/.f64 (+.f64 (cos.f64 eps) -1) eps)))))) (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (/.f64 (sin.f64 eps) eps)))))
(+.f64 (.f64 -1/2 (/.f64 (sin.f64 eps) x)) (+.f64 (+.f64 (.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 x (+.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) eps)) (+.f64 (.f64 (sin.f64 eps) 1/6) (.f64 -1/6 (/.f64 (+.f64 (cos.f64 eps) -1) eps)))))) (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 eps) eps) (.f64 (+.f64 (cos.f64 eps) -1) -1/12))))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x)))))
1
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) eps) 1)
1
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) eps) (+.f64 1 (.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (+.f64 1 (.f64 eps (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))))
(+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (.f64 eps (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0))))
(+.f64 1 (+.f64 (.f64 eps (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0)) (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2))))
(+.f64 1 (+.f64 (.f64 eps 0) (.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2))))
(+.f64 (+.f64 1 (-.f64 eps eps)) (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)))
(+.f64 1 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))) eps) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/24 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/12 (/.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3)) (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)))))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (.f64 (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/24) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/12)) (pow.f64 eps 3))) (+.f64 1 (.f64 eps (+.f64 (.f64 -1/2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))))
(+.f64 1 (+.f64 (.f64 eps (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0)) (+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/24) (pow.f64 eps 3)))))
(+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (+.f64 (+.f64 1 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/24) (pow.f64 eps 3))) (.f64 eps (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0))))
(+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (+.f64 (+.f64 1 (.f64 eps 0)) (.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/24) (pow.f64 eps 3))))
(+.f64 (+.f64 1 (-.f64 eps eps)) (+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/24) (pow.f64 eps 3))))
(+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1/6) (pow.f64 eps 2)) (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/24) (pow.f64 eps 3))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (.f64 -1 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (.f64 eps -1))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x (*.f64 eps -1))) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) eps)))
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(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps))) (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 (sin.f64 x) eps)))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 1 (.f64 eps (sin.f64 x)))))
(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (/.f64 1 (*.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)) -1)
(neg.f64 (+.f64 (/.f64 1 (*.f64 eps (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)))
(/.f64 (.f64 2 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 (sin.f64 x) eps)))) 2)
(/.f64 (.f64 2 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 eps (sin.f64 x))))) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)) 2) -2)
(/.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 eps (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2))) -2)
(neg.f64 (+.f64 (/.f64 1 (*.f64 (sin.f64 x) eps)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 eps (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -2)))

eval563.0ms (2.8%)

Compiler: Compiled 32397 to 15730 computations (51.4% saved)

prune659.0ms (3.3%)

Pruning

53 alts after pruning (44 fresh and 9 done)

	Pruned	Kept	Total
New	944	17	961
Fresh	5	27	32
Picked	1	0	1
Done	2	9	11
Total	952	53	1005

Error

11.6b

Counts

1005 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(-.f64 (+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	50.0b	(-.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 eps)))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	51.8b	(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x))
	38.2b	(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
	38.1b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))) (cos.f64 x))
	38.7b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 (+.f64 x eps)))) (.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (neg.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (cos.f64 x))
	51.1b	(-.f64 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	38.5b	(-.f64 (.f64 (/.f64 1 (cos.f64 eps)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	38.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.3b	(-.f64 (cos.f64 x) (cos.f64 x))
	38.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) 1)
	30.5b	(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4))))
	38.5b	(+.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (neg.f64 (*.f64 2 (cos.f64 x))))
✓	30.1b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
✓	30.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
✓	36.3b	(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) -1))
	46.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	50.1b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	38.5b	(+.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) -2)))
	39.6b	(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
	39.7b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))))
✓	39.6b	(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
	47.5b	(.f64 (/.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	51.8b	(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))
	57.8b	(.f64 (/.f64 1 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
	46.7b	(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
	63.3b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (cos.f64 eps) -1)))
	46.7b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))
	46.7b	(.f64 (/.f64 1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	46.7b	(.f64 (/.f64 1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	46.7b	(.f64 (/.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	61.1b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1/12) (.f64 -1/2 (/.f64 (sin.f64 eps) x)))) (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (.f64 eps x))) (+.f64 (/.f64 (sin.f64 eps) eps) (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))))
	47.5b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 eps) 1)))
	46.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))))
✓	46.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	46.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
	47.4b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
	47.3b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	62.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	46.2b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	61.8b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x)))) (-.f64 (cos.f64 eps) 1)))
	61.7b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1/12 (/.f64 1 (.f64 eps x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	37.7b	(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))
	46.7b	(.f64 (.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	34.8b	(*.f64 (sin.f64 x) (neg.f64 eps))
	59.0b	(.f64 (neg.f64 (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 eps 2))))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
✓	51.7b	(*.f64 eps (neg.f64 x))
✓	49.6b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 1323 to 826 computations (37.6% saved)

regimes568.0ms (2.9%)

Counts

74 → 3

Calls

Call 1

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

Outputs

(-.f64 (cos.f64 eps) (cos.f64 x))

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

(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

239.0ms	eps
168.0ms	x
38.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
18.4b	5	`x`
13.3b	3	`eps`
14.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2084 to 879 computations (57.8% saved)

bsearch231.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	3.020992505670423e-7	430175.4647177981
190.0ms	-2301.3277782178607	-0.004105033018946746

Results

176.0ms	167×	body	256	valid
31.0ms	78×	body	1024	valid
13.0ms	50×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 774 to 580 computations (25.1% saved)

regimes205.0ms (1%)

Counts

49 → 3

Calls

Call 1

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

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

Calls

3 calls:

96.0ms	x
67.0ms	eps
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
18.4b	5	`x`
13.3b	3	`eps`
14.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 906 to 425 computations (53.1% saved)

bsearch155.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
110.0ms	3.020992505670423e-7	430175.4647177981
45.0ms	-2301.3277782178607	-0.004105033018946746

Results

108.0ms	101×	body	1024	valid
32.0ms	168×	body	256	valid
7.0ms	30×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 584 to 447 computations (23.5% saved)

regimes301.0ms (1.5%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

158.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
106.0ms	x
31.0ms	eps

Results

Error	Segments	Branch
18.4b	5	`x`
13.4b	3	`eps`
14.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 261 to 128 computations (51% saved)

bsearch257.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	3.020992505670423e-7	430175.4647177981
215.0ms	-2301.3277782178607	-0.004105033018946746

Results

220.0ms	107×	body	1024	valid
23.0ms	171×	body	256	valid
6.0ms	22×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 489 to 371 computations (24.1% saved)

regimes243.0ms (1.2%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

3 calls:

169.0ms	x
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
28.0ms	eps

Results

Error	Segments	Branch
18.4b	5	`x`
17.1b	4	`eps`
19.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 132 to 71 computations (46.2% saved)

bsearch135.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
37.0ms	3.020992505670423e-7	430175.4647177981
60.0ms	6.02878289802314e-69	4.371338624796165e-45
37.0ms	-2301.3277782178607	-0.004105033018946746

Results

52.0ms	130×	body	1024	valid
43.0ms	156×	body	512	valid
24.0ms	179×	body	256	valid
9.0ms	15×	body	2048	valid

Compiler

Compiled 620 to 496 computations (20% saved)

regimes293.0ms (1.5%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

155.0ms	x
116.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
20.0ms	eps

Results

Error	Segments	Branch
18.4b	5	`x`
17.1b	4	`eps`
19.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 72 to 40 computations (44.4% saved)

bsearch179.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
58.0ms	3.020992505670423e-7	430175.4647177981
84.0ms	6.02878289802314e-69	4.371338624796165e-45
37.0ms	-2301.3277782178607	-0.004105033018946746

Results

66.0ms	135×	body	1024	valid
64.0ms	132×	body	512	valid
25.0ms	192×	body	256	valid
17.0ms	21×	body	2048	valid

Compiler

Compiled 494 to 391 computations (20.9% saved)

regimes227.0ms (1.1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

205.0ms	eps
20.0ms	x

Results

Error	Segments	Branch
21.1b	5	`x`
17.3b	4	`eps`

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch346.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
180.0ms	3.020992505670423e-7	430175.4647177981
127.0ms	6.02878289802314e-69	4.371338624796165e-45
39.0ms	-2301.3277782178607	-0.004105033018946746

Results

207.0ms	136×	body	1024	valid
59.0ms	127×	body	512	valid
50.0ms	202×	body	256	valid
24.0ms	15×	body	2048	valid

Compiler

Compiled 475 to 391 computations (17.7% saved)

regimes32.0ms (0.2%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	eps
10.0ms	x

Results

Error	Segments	Branch
36.8b	3	`x`
31.4b	5	`eps`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch656.0ms (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
117.0ms	3.020992505670423e-7	430175.4647177981
231.0ms	9.609329506777542e-163	2.1684198985725236e-157
149.0ms	-7.815762671620846e-141	-2.2984613769803057e-161
159.0ms	-0.004105033018946746	-5.1408853943712636e-8

Results

256.0ms	298×	body	1024	valid
234.0ms	119×	body	2048	valid
62.0ms	29×	body	512	valid
24.0ms	178×	body	256	valid

Compiler

Compiled 599 to 497 computations (17% saved)

regimes13.0ms (0.1%)

Accuracy

Total -19.6b remaining (-55.6%)

Threshold costs -19.6b (-55.6%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 eps (neg.f64 x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

9.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
37.9b	1	`x`
35.2b	3	`eps`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch91.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	7.634800280294148e-26	5.1101576916930155e-21
52.0ms	-2.0921732826604204e-34	-2.8235679864896165e-46

Results

39.0ms	86×	body	1024	valid
29.0ms	117×	body	512	valid
12.0ms	93×	body	256	valid
8.0ms	8×	body	2048	valid

Compiler

Compiled 280 to 219 computations (21.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	755

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -1080863910568919/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/36028797018963968) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3458764513820541/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/144115188075855872) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4496393867966703/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 734987459186865/72057594037927936) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5463589350480567/3213876088517980551083924184682325205044405987565585670602752) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 3170534137668829/288230376151711744) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5265614583427859/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 760928193040519/4611686018427387904) (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1908785286492599/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2176715800697727/18446744073709551616) (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3706990736470529/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 1661751134897421/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 2176715800697727/18446744073709551616) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2396862685222681/11692013098647223345629478661730264157247460343808) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 631383297997835/664613997892457936451903530140172288) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))

Outputs
(if (<=.f64 eps -1080863910568919/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/36028797018963968) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (.f64 (cos.f64 x) (.f64 1/24 (pow.f64 eps 4)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3458764513820541/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/144115188075855872) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4496393867966703/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 734987459186865/72057594037927936) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5463589350480567/3213876088517980551083924184682325205044405987565585670602752) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 3170534137668829/288230376151711744) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5265614583427859/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 760928193040519/4611686018427387904) (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1908785286492599/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2176715800697727/18446744073709551616) (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3706990736470529/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 1661751134897421/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 2176715800697727/18446744073709551616) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2396862685222681/11692013098647223345629478661730264157247460343808) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 631383297997835/664613997892457936451903530140172288) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))

Compiler

Compiled 296 to 193 computations (34.8% saved)

soundness170.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational_best-simplify-132`
936×	`rational_best-simplify-1`
926×	`rational_best-simplify-48`
836×	`rational_best-simplify-44`
812×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	4294969005
1	297	4294968979
2	703	4294968929
3	2352	4294968929
4	4094	4294968929

Stop Event

1×	node limit

Compiler

Compiled 68 to 45 computations (33.8% saved)

end111.0ms (0.6%)

Compiler: Compiled 280 to 146 computations (47.9% saved)