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)

sample11.5s (49.8%)

Results

8.0s	3955×	body	1024	valid
2.2s	2162×	body	2048	valid
820.0ms	777×	body	256	valid
507.0ms	1361×	body	512	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess209.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2186×	`rational.json-simplify-35`
2014×	`rational.json-simplify-45`
1898×	`rational.json-simplify-2`
1606×	`rational.json-simplify-1`
806×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	20	42
2	37	42
3	63	42
4	123	42
5	238	42
6	585	42
7	1521	42
8	3000	42
9	3990	42
10	4707	42
11	5812	42
12	6337	42
13	6681	42
14	6681	42
0	2	2

Stop Event

1×	saturated
1×	node limit

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)

simplify538.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4274×	`rational.json-simplify-35`
1482×	`rational.json-simplify-1`
1144×	`rational.json-simplify-2`
764×	`rational.json-simplify-42`
696×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	26	21
3	44	21
4	88	21
5	174	21
6	423	21
7	1079	21
8	2178	21
9	2820	21
10	3409	21
11	4731	21
12	5537	21
13	5875	21
14	6101	21
15	6318	21
16	6318	21
17	6638	21
18	6672	21
19	6672	21
20	6889	21
21	7106	21
22	7323	21
23	7540	21
24	7757	21
25	7974	21

Stop Event

1×	node limit

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

42.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.8b	(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))

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-1`
1184×	`exponential.json-3`
1184×	`rational.json-2`
1184×	`rational.json-4`
1184×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	61	32
2	147	32
3	335	32
4	707	32
5	1703	32
6	3571	32
7	5864	32
8	7880	32

Stop Event

1×	node limit

Counts

2 → 57

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

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

simplify168.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-35`
1288×	`rational.json-simplify-2`
1110×	`rational.json-simplify-1`
868×	`rational.json-simplify-26`
852×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2385
1	374	2327
2	906	2327
3	2283	2259
4	4040	2259
5	5372	2259
6	6594	2259
7	7432	2259

Stop Event

1×	node limit

Counts

105 → 138

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

eval74.0ms (0.3%)

Compiler: Compiled 2145 to 1031 computations (51.9% saved)

prune214.0ms (0.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	115	23	138
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	24	139

Error

16.6b

Counts

139 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.1b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
	56.6b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	43.9b	(-.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)
▶	43.7b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	43.5b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
✓	42.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.6b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	42.3b	(-.f64 (cos.f64 eps) 1)
	41.1b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
	42.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	34.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
	34.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
▶	33.8b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	34.2b	(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
	34.0b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
	34.0b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	40.6b	(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
	43.5b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	43.9b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
	44.2b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))))
	42.4b	(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
▶	42.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	40.2b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 827 to 606 computations (26.7% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 25 computations (46.8% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite205.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`rational.json-1`
1352×	`rational.json-simplify-35`
1092×	`exponential.json-3`
1092×	`rational.json-2`
1092×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	108	81
2	245	81
3	518	81
4	1086	81
5	2707	81
6	5284	81
7	7694	81

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

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

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

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

simplify279.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2320×	`rational.json-simplify-2`
1670×	`rational.json-simplify-35`
1114×	`rational.json-simplify-1`
1092×	`rational.json-simplify-51`
792×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	3511
1	394	3467
2	868	3413
3	1984	3395
4	4019	3395
5	5034	3395
6	5539	3395
7	6106	3395
8	7168	3395
9	7507	3395

Stop Event

1×	node limit

Counts

121 → 99

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 -1 (-.f64 1 (*.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (sin.f64 x) (.f64 eps -1/2)) (.f64 (sin.f64 x) (.f64 eps -1/2)))
(-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(-.f64 0 (*.f64 (sin.f64 x) eps))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(/.f64 (.f64 (sin.f64 x) (.f64 eps -2)) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 eps -4)) 4)
(/.f64 (*.f64 (sin.f64 x) eps) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 eps -4))) 8)
(/.f64 (*.f64 (sin.f64 x) (+.f64 eps eps)) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps -4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (*.f64 eps -4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps -4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps -4)))))) 64)
(pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(neg.f64 (*.f64 (sin.f64 x) eps))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(+.f64 0 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/4)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/4)))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 1)
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) 2)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -2)))))) 64)
(pow.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 1)
(neg.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))
(.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 1)
(.f64 1 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))))
(.f64 (.f64 2 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(.f64 (/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(pow.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)

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 (pow.f64 x 3) 1/6)))
(+.f64 (.f64 eps (neg.f64 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 eps (.f64 (pow.f64 x 5) -1/120)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 eps (.f64 (pow.f64 x 3) 1/6))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (+.f64 (.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(.f64 eps (+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.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 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 eps (.f64 (pow.f64 x 5) -1/120)) (+.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (.f64 eps (.f64 (pow.f64 x 7) 1/5040)))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 eps (.f64 -1/120 (pow.f64 x 5))) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (*.f64 1/5040 (pow.f64 x 7))))))
(+.f64 (.f64 eps (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))) (.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 eps (+.f64 (neg.f64 x) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (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 -1/2 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2)))
(.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (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 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 4) -1/48))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 4) (.f64 -1/48 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))))
(.f64 (pow.f64 eps 2) (+.f64 -1/2 (+.f64 (.f64 -1/48 (pow.f64 x 4)) (*.f64 1/4 (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 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 4) -1/48)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 6) 1/1440)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 -1/48 (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))) (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2))))) (.f64 (pow.f64 x 6) (*.f64 (pow.f64 eps 2) 1/1440)))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (+.f64 -1/2 (+.f64 (.f64 -1/48 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 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 1/4 (pow.f64 (*.f64 eps x) 2))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 eps 2) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(pow.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.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
✓	1.7b	(-.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)

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`rational.json-simplify-35`
1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-3`
1114×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	140	11
3	265	11
4	527	11
5	1164	11
6	2741	11
7	4737	11
8	5772	11
9	7562	11

Stop Event

1×	node limit

Counts

1 → 26

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 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) 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 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))))

simplify288.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1634×	`rational.json-simplify-2`
1474×	`rational.json-simplify-51`
1450×	`rational.json-simplify-35`
1126×	`rational.json-simplify-1`
888×	`rational.json-simplify-38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	446
1	155	446
2	361	446
3	1044	446
4	1805	446
5	2124	446
6	2237	446
7	2356	446
8	2509	446
9	2703	446
10	3675	446
11	4075	446
12	4560	446
13	4807	446
14	5014	446
15	5215	446
16	5844	446
17	6189	446
18	6771	446

Stop Event

1×	node limit

Counts

30 → 35

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 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 2))
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.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 (.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 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.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 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (cos.f64 x) 2)
✓	0.3b	(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
✓	3.6b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	3.8b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-1`
1604×	`rational.json-2`
1604×	`rational.json-4`
1604×	`rational.json-3`
1320×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	88	71
2	190	71
3	414	71
4	882	59
5	2244	59
6	4697	59
7	6970	59

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 x) 2)

Outputs

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

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

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1564×	`rational.json-simplify-35`
1308×	`rational.json-simplify-52`
1106×	`rational.json-simplify-51`
1030×	`rational.json-simplify-1`
924×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	3945
1	542	3887
2	1276	3887
3	3349	3811
4	5613	3811
5	7140	3811

Stop Event

1×	node limit

Counts

151 → 190

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
✓	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	1.6b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite169.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`rational.json-simplify-35`
1268×	`exponential.json-3`
1268×	`rational.json-1`
1268×	`rational.json-2`
1268×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	89	75
2	222	75
3	515	75
4	1163	75
5	3054	75
6	5922	75

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1772×	`rational.json-simplify-35`
1132×	`rational.json-simplify-51`
1110×	`rational.json-simplify-1`
874×	`rational.json-simplify-2`
656×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	4265
1	489	4265
2	1178	4253
3	2932	4201
4	5691	4201
5	6926	4201
6	7894	4201

Stop Event

1×	node limit

Counts

155 → 161

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.1b	(.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
✓	0.1b	(*.f64 x (sin.f64 (neg.f64 eps)))
✓	0.9b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))

Compiler

Compiled 81 to 34 computations (58% saved)

series10.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational.json-1`
1710×	`rational.json-2`
1710×	`rational.json-3`
1166×	`rational.json-simplify-35`
1018×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	132	114
2	316	110
3	751	110
4	1786	110
5	4277	110
6	7088	110

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

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

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1676×	`rational.json-simplify-35`
1494×	`rational.json-simplify-51`
1242×	`rational.json-simplify-48`
1200×	`rational.json-simplify-2`
780×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	5823
1	594	5807
2	1262	5765
3	3116	5709
4	5835	5709
5	7477	5709

Stop Event

1×	node limit

Counts

153 → 171

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (.f64 -1 eps)) x) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (.f64 -1 eps)) x) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (.f64 -1 eps)) x) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (.f64 -1 eps)) x) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 (neg.f64 eps)) x) (.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(.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 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(.f64 (sin.f64 (.f64 -1 eps)) x)
(.f64 (sin.f64 (.f64 -1 eps)) x)
(.f64 (sin.f64 (.f64 -1 eps)) x)
(.f64 (sin.f64 (.f64 -1 eps)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))) (cos.f64 x)))
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(+.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 0)
(+.f64 0 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))))
(+.f64 -1 (+.f64 1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))))
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)) (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 (.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))) (cos.f64 eps))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(+.f64 (+.f64 1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))) -1)
(+.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1/2) (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1/2))
(.f64 2 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1/2))
(.f64 2 (-.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))) 1/2) (.f64 (cos.f64 x) 1/2)))
(.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1)
(.f64 1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))))
(.f64 -1 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))
(.f64 -1 (+.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps))))) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))))
(.f64 (.f64 2 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))) 1/2)
(.f64 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) -1)
(.f64 4 (/.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4))
(.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))))
(.f64 1/2 (-.f64 (.f64 2 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (.f64 2 (cos.f64 x))))
(.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1/2) 2)
(/.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))) 2)
(/.f64 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) -1)
(/.f64 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4)) 8)
(/.f64 (.f64 2 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))) -4)
(/.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) (neg.f64 (.f64 2 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))))))) 4)
(pow.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1)
(neg.f64 (-.f64 (cos.f64 x) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)
(+.f64 0 (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) (.f64 x -1/2)) (.f64 (sin.f64 eps) (.f64 x -1/2)))
(-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)
(/.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)
(/.f64 (.f64 x (.f64 (sin.f64 eps) -2)) 2)
(/.f64 (.f64 x (.f64 (sin.f64 eps) -4)) 4)
(/.f64 (.f64 2 (.f64 x (*.f64 (sin.f64 eps) -4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (sin.f64 eps) -4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (sin.f64 eps) -4)))) (.f64 2 (.f64 2 (.f64 x (.f64 (sin.f64 eps) -4))))) 32)
(pow.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)
(neg.f64 (*.f64 x (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 0 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -1/4)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -1/4)))
(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(/.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (neg.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2))) 2)
(/.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -2)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -2)))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -2))))) 32)
(pow.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(neg.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -2)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -2))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -2))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -2)))) 32)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))

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

eval200.0ms (0.9%)

Compiler: Compiled 13329 to 7180 computations (46.1% saved)

prune224.0ms (1%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	691	23	714
Fresh	12	6	18
Picked	1	0	1
Done	0	5	5
Total	704	34	738

Error

15.8b

Counts

738 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 eps) x)))) (cos.f64 x))
	43.5b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
✓	43.7b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
✓	42.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.6b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	42.3b	(-.f64 (cos.f64 eps) 1)
	42.4b	(-.f64 1 (-.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.2b	(-.f64 1 (cos.f64 x))
	44.1b	(+.f64 (-.f64 (.f64 x (sin.f64 (neg.f64 eps))) (cos.f64 x)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
	43.7b	(+.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) -1)
	34.2b	(+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) 1/24))))
	48.3b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 eps (.f64 1/6 (pow.f64 x 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
▶	42.3b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	50.3b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	40.6b	(+.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 (neg.f64 eps))))
	34.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
✓	33.8b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	42.3b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
▶	48.0b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
▶	34.0b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	43.5b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	44.2b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 -1 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
✓	42.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	42.6b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
	41.7b	(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
	42.4b	(+.f64 -2 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)) -1))
	57.0b	(+.f64 -2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 2 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))
▶	56.9b	(+.f64 -2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 2 (*.f64 eps (neg.f64 (sin.f64 x))))))
	42.4b	(+.f64 -2 (+.f64 (cos.f64 eps) 1))
	56.6b	(+.f64 -2 (+.f64 2 (*.f64 eps (neg.f64 (sin.f64 x)))))
	42.4b	(+.f64 -2 (+.f64 -2 (-.f64 4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
▶	56.9b	(+.f64 -2 2)
	40.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
	50.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 943 to 728 computations (22.8% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (pow.f64 eps 2))
✓	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	2.2b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
✓	6.9b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))

Compiler

Compiled 78 to 48 computations (38.5% saved)

series5.0ms (0%)

Counts

4 → 56

Calls

21 calls:

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

rewrite153.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational.json-simplify-35`
1202×	`exponential.json-3`
1202×	`rational.json-1`
1202×	`rational.json-2`
1202×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	124
1	140	124
2	290	124
3	590	124
4	1228	124
5	3038	124
6	5895	124

Stop Event

1×	node limit

Counts

4 → 55

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 (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 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 1/2)) (.f64 (sin.f64 x) (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 1/2)))))) (#(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 (.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 (.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 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 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 (pow.f64 eps 3) 1/12) (.f64 (pow.f64 eps 3) 1/12))))) (#(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 (pow.f64 eps 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 eps 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (pow.f64 eps 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 x) (pow.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (.f64 2 (pow.f64 eps 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1)))))

simplify225.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational.json-simplify-35`
1218×	`rational.json-simplify-1`
1178×	`rational.json-simplify-2`
1138×	`rational.json-simplify-51`
798×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	4197
1	439	4089
2	970	4017
3	2213	3987
4	4475	3987
5	5835	3987
6	6230	3987
7	6667	3987
8	7788	3987

Stop Event

1×	node limit

Counts

111 → 115

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))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4)))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 0)
(.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2))
(.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)
(.f64 1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(.f64 (.f64 2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))
(.f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)
(/.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) 64)
(pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.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))) 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 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 1/2)) (.f64 (sin.f64 x) (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 1/2)))
(-.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 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 2 (sin.f64 x))) 2)
(/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4)))))) 64)
(pow.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)
(+.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 eps 3)))
(+.f64 (.f64 (pow.f64 eps 3) 1/12) (.f64 (pow.f64 eps 3) 1/12))
(-.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(/.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(/.f64 (*.f64 (pow.f64 eps 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 eps 3) 2/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3))))) 64)
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(+.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 0)
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1)
(/.f64 (.f64 (cos.f64 x) (.f64 2 (pow.f64 eps 2))) 2)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)))))) 64)
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1)

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 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 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 1/4 (pow.f64 (*.f64 eps x) 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 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 1/4 (pow.f64 (.f64 eps x) 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/4 (pow.f64 (.f64 eps x) 2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.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)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.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)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.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)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.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)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 eps (.f64 (sin.f64 x) -1)))
(+.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 (sin.f64 (neg.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 1/6 (.f64 (pow.f64 eps 3) (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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 1/6 (.f64 (pow.f64 eps 3) (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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps)))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x)
(.f64 x (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(+.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 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.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 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (pow.f64 x 5) 1/120)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 -1/6 (pow.f64 x 3))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))))
(+.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 (.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (pow.f64 x 5) 1/120)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (pow.f64 x 7) -1/5040))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (+.f64 x (.f64 1/120 (pow.f64 x 5)))) (.f64 -1/5040 (.f64 (pow.f64 x 7) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))))
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(.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 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (.f64 (sin.f64 x) 4)))))) 64)
(.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))
(pow.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)
(.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 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 (pow.f64 eps 3) 1/12) (.f64 (pow.f64 eps 3) 1/12))
(*.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 (pow.f64 eps 3) 1/3) 2)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 (pow.f64 eps 3) 2/3) 4)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)) 8)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) 16)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) 32)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 3) 2/3))))) 64)
(*.f64 1/6 (pow.f64 eps 3))
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 0)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(+.f64 0 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 0)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (.f64 (cos.f64 x) (.f64 2 (pow.f64 eps 2))) 2)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)) 4)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 4))) 8)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)))) 16)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 4))))) 32)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 4)))))) 64)
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1)
(*.f64 (pow.f64 eps 2) (cos.f64 x))

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize43.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite167.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`rational.json-simplify-35`
1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-3`
1430×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	81	29
2	166	29
3	337	29
4	672	29
5	1615	29
6	3228	29
7	4815	29
8	6397	29
9	7404	29
10	7719	29

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (pow.f64 eps 2) (*.f64 eps (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 eps (*.f64 x -1/2)) (*.f64 (pow.f64 eps 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 -2 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 eps (*.f64 x -1/2)) (*.f64 (pow.f64 eps 2) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))))))

simplify666.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2412×	`rational.json-simplify-35`
2176×	`rational.json-simplify-1`
2126×	`rational.json-simplify-48`
1400×	`rational.json-simplify-2`
1230×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1395
1	162	1395
2	321	1395
3	999	1395
4	1710	1395
5	3297	1395
6	3759	1395
7	3857	1395
8	3949	1395
9	4026	1395
10	4615	1395
11	5394	1395
12	5610	1395
13	5878	1395
14	6331	1395
15	6729	1395
16	6872	1395
17	6973	1395
18	7073	1395
19	7073	1395
20	7351	1395
21	7458	1395
22	7645	1395

Stop Event

1×	node limit

Counts

51 → 33

Calls

Call 1

Inputs
(.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 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps 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 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.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 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.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 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(.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 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(.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 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(-.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 0)
(-.f64 0 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))
(.f64 -1/2 (+.f64 (pow.f64 eps 2) (.f64 eps (+.f64 x x))))
(.f64 2 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)))
(.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(.f64 1 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 -1 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))
(.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 -2 (*.f64 eps x))))
(.f64 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4))
(.f64 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(.f64 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(/.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)) 16)
(/.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))))) 128)
(pow.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(neg.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))

Outputs
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 0)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 0 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (+.f64 (pow.f64 eps 2) (.f64 eps (+.f64 x x))))
(.f64 2 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)))
(.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 1 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))) 1/2)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 4 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4) 1/4)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 eps 2)) (.f64 -2 (*.f64 eps x))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)) 2)
(.f64 2 (+.f64 (.f64 eps (.f64 x -1/2)) (.f64 (pow.f64 eps 2) -1/4)))
(.f64 1/4 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 4))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (/.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (+.f64 (.f64 eps x) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))) 2)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8) 8)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)) 16)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)) -1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))) 32)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 8)))) 64)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) 8))))) 128)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(pow.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2))) 1)
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(neg.f64 (+.f64 (.f64 eps x) (.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))
✓	2.2b	(-.f64 1 (cos.f64 x))
✓	2.7b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	3.8b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`exponential.json-3`
1410×	`rational.json-1`
1410×	`rational.json-2`
1410×	`rational.json-4`
1410×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	98	71
2	215	65
3	460	63
4	990	63
5	2514	63
6	4547	63
7	6202	63

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

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

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2236×	`rational.json-simplify-1`
1550×	`rational.json-simplify-35`
1464×	`rational.json-simplify-2`
1200×	`rational.json-simplify-51`
982×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3208
1	492	3150
2	1162	3150
3	2418	3074
4	4394	3074
5	4891	3074
6	5797	3074
7	6257	3074
8	6619	3074
9	7010	3074

Stop Event

1×	node limit

Counts

128 → 168

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))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.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))))
(+.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)))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
1
(+.f64 1 (.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 (.f64 1/6 (.f64 (pow.f64 eps 3) (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 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 0)
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2))
(.f64 1/4 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 x) -1)))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))))) 8)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 0)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)

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 -1 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.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 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) -1)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.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 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (+.f64 -1 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(+.f64 -1 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(+.f64 -1 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.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 (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.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 (sin.f64 x) -1)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.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 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 eps (.f64 (sin.f64 x) -1)) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.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 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (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 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 eps (.f64 (sin.f64 x) -1)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) (.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
(-.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 (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps))))
(+.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))))
(+.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))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.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)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)))))
(+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (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 (neg.f64 x) (.f64 1/6 (pow.f64 x 3))))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
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(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
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(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
1
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
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(+.f64 1 (*.f64 eps (neg.f64 (sin.f64 x))))
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(+.f64 1 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 1 (+.f64 (.f64 eps (neg.f64 (sin.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 1 (*.f64 eps (sin.f64 x))))
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(+.f64 1 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(+.f64 1 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))))))
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(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
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(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
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(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
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(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
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(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
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(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
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(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 0)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1 (+.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)) (neg.f64 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 1/2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 1/4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 1/2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 1/4 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)) 8)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))) 16)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)))) 32)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) 64)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) 2)) (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) 2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) 8)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))) -4)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) 16)
(-.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) -8)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)))) 32)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 x) -1)))) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) 64)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))))) 8)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 1/2)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 1/4)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2) 2)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 1/4 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 2)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)) 8)
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(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))) 16)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)))) 32)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) 64)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 2 (*.f64 eps (neg.f64 (sin.f64 x)))))
	0.1b	(*.f64 (cos.f64 x) (pow.f64 eps 2))
✓	0.1b	(*.f64 eps (neg.f64 (sin.f64 x)))
✓	2.1b	(+.f64 -2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 2 (*.f64 eps (neg.f64 (sin.f64 x))))))

Compiler

Compiled 77 to 39 computations (49.4% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-simplify-35`
1228×	`exponential.json-3`
1228×	`rational.json-1`
1228×	`rational.json-2`
1228×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	119
1	133	119
2	307	107
3	690	107
4	1586	107
5	3566	107
6	5979	107

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

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

(*.f64 eps (neg.f64 (sin.f64 x)))

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

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

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

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

simplify315.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2020×	`rational.json-simplify-2`
1620×	`rational.json-simplify-35`
1108×	`rational.json-simplify-51`
918×	`rational.json-simplify-1`
810×	`rational.json-simplify-42`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	174	4700
1	388	4656
2	904	4620
3	2252	4614
4	3916	4614
5	4452	4478
6	4876	4478
7	5368	4478
8	6698	4478
9	7205	4478

Stop Event

1×	node limit

Counts

134 → 125

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

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

eval176.0ms (0.8%)

Compiler: Compiled 10757 to 6803 computations (36.8% saved)

prune124.0ms (0.5%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	513	11	524
Fresh	5	19	24
Picked	1	0	1
Done	2	7	9
Total	521	37	558

Error

15.8b

Counts

558 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	42.2b	(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
	43.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 eps) x)))) (cos.f64 x))
	43.5b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
✓	43.7b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
✓	42.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	41.6b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	42.3b	(-.f64 (cos.f64 eps) 1)
▶	42.4b	(-.f64 1 (-.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.2b	(-.f64 1 (cos.f64 x))
	44.1b	(+.f64 (-.f64 (.f64 x (sin.f64 (neg.f64 eps))) (cos.f64 x)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
▶	56.9b	(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (-.f64 1 (*.f64 eps (sin.f64 x)))) -1)
	44.2b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) -1)
	43.7b	(+.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) -1)
	34.2b	(+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) 1/24))))
	48.3b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 eps (.f64 1/6 (pow.f64 x 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	41.6b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
	40.6b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
	57.0b	(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))) -1)
▶	34.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
	34.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
✓	33.8b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	42.3b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
✓	48.0b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	43.5b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
✓	42.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	42.6b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
	41.7b	(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
	56.6b	(+.f64 -2 (-.f64 2 (*.f64 eps (sin.f64 x))))
	42.4b	(+.f64 -2 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)) -1))
	56.9b	(+.f64 -2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (-.f64 2 (*.f64 eps (sin.f64 x)))))
	56.9b	(+.f64 -2 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 2 (+.f64 -1 (-.f64 1 (*.f64 eps (sin.f64 x)))))))
	42.4b	(+.f64 -2 (+.f64 (cos.f64 eps) 1))
	42.4b	(+.f64 -2 (+.f64 -2 (-.f64 4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
✓	56.9b	(+.f64 -2 2)
	40.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	54.4b	(*.f64 eps (neg.f64 x))
	50.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 1006 to 778 computations (22.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2))
	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	2.2b	(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
✓	6.9b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series2.0ms (0%)

Counts

3 → 68

Calls

18 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`rational.json-1`
1396×	`rational.json-simplify-35`
1092×	`exponential.json-3`
1092×	`rational.json-2`
1092×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	109
1	129	109
2	264	109
3	547	109
4	1104	109
5	2701	109
6	5300	109
7	7667	109

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.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 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.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 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/2)) (*.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)) 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) (*.f64 (sin.f64 x) 1/2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 1/2)))))) (#(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 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.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) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 1)))))

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

simplify218.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1458×	`rational.json-simplify-48`
1116×	`rational.json-simplify-1`
1062×	`rational.json-simplify-51`
998×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	4676
1	382	4520
2	852	4442
3	1959	4256
4	4030	4256
5	5057	4256
6	5625	4256
7	6267	4256
8	7662	4256

Stop Event

1×	node limit

Counts

112 → 114

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`exponential.json-3`
1226×	`rational.json-1`
1226×	`rational.json-2`
1226×	`rational.json-4`
1226×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	136	15
3	310	15
4	643	15
5	1514	15
6	3417	15
7	6167	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

simplify203.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-35`
2002×	`rational.json-simplify-1`
1938×	`rational.json-simplify-51`
930×	`rational.json-simplify-48`
844×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	983
1	256	983
2	536	983
3	1360	983
4	2931	847
5	3900	847
6	4960	847
7	5358	847
8	5641	847
9	5880	847
10	7316	847
11	7736	847

Stop Event

1×	node limit

Counts

43 → 71

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 (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 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps)))
(.f64 2 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 1/2)
(*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)
(*.f64 4 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))
(*.f64 4 (-.f64 (/.f64 (cos.f64 eps) 4) (/.f64 (cos.f64 x) 4)))
(.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2))
(.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 2)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8) 8)
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)))) 64)
(pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))

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

localize13.0ms (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)))
	1.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	1.1b	(-.f64 1 (-.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	3.8b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational.json-1`
1628×	`rational.json-2`
1346×	`rational.json-simplify-35`
1152×	`exponential.json-3`
1152×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	91	48
2	209	48
3	455	48
4	997	48
5	2631	48
6	5428	48
7	7550	48

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational.json-simplify-35`
942×	`rational.json-simplify-51`
936×	`rational.json-simplify-45`
922×	`rational.json-simplify-48`
900×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3997
1	564	3947
2	1197	3947
3	2766	3879
4	4932	3879
5	6148	3879
6	7451	3879

Stop Event

1×	node limit

Counts

145 → 174

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 eps (sin.f64 x)))
✓	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
✓	0.1b	(*.f64 eps (sin.f64 x))
✓	2.1b	(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (-.f64 1 (*.f64 eps (sin.f64 x)))) -1)

Compiler

Compiled 69 to 38 computations (44.9% saved)

series3.0ms (0%)

Counts

4 → 68

Calls

24 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational.json-simplify-35`
1212×	`exponential.json-3`
1212×	`rational.json-1`
1212×	`rational.json-2`
1212×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	102
1	131	102
2	270	96
3	577	94
4	1194	94
5	3082	94
6	5862	94

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

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

simplify237.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1850×	`rational.json-simplify-35`
864×	`rational.json-simplify-1`
850×	`rational.json-simplify-52`
824×	`exponential.json-simplify-26`
812×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	4349
1	539	3965
2	1280	3911
3	3301	3903
4	4595	3903
5	6116	3903
6	7010	3903
7	7761	3903

Stop Event

1×	node limit

Counts

157 → 152

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 -1/2 (.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 -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 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(.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)))
1
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 1 (.f64 -1 (.f64 eps (sin.f64 x))))
1
(+.f64 (.f64 -1 (.f64 eps x)) 1)
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (-.f64 1 (*.f64 eps (sin.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 0)
(-.f64 (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) -1) (-.f64 1 (+.f64 (*.f64 eps (sin.f64 x)) -1))) 1)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 1/2))
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 1)
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x))))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 4))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x))))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (.f64 eps (sin.f64 x)))) 4))))) 64)
(pow.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))) 1)
(+.f64 1 (+.f64 (*.f64 eps (sin.f64 x)) -1))
(+.f64 (*.f64 eps (sin.f64 x)) 0)
(+.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 0 (*.f64 eps (sin.f64 x)))
(+.f64 (+.f64 (*.f64 eps (sin.f64 x)) -1) 1)
(+.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)
(+.f64 (.f64 eps (.f64 (sin.f64 x) 1/2)) (.f64 eps (.f64 (sin.f64 x) 1/2)))
(-.f64 (*.f64 eps (sin.f64 x)) 0)
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) -1) -1)
(-.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1)
(/.f64 (*.f64 eps (sin.f64 x)) 1)
(/.f64 (.f64 eps (.f64 2 (sin.f64 x))) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 eps 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 eps 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (*.f64 eps 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 eps 4)))))) 64)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(+.f64 -1 (-.f64 1 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))
(+.f64 (.f64 (.f64 (pow.f64 eps 2) (cos.f64 x)) -1/4) (.f64 (.f64 (pow.f64 eps 2) (cos.f64 x)) -1/4))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(-.f64 0 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))))) 64)
(pow.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(neg.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2)))
(+.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 0)
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 eps (sin.f64 x)) -1)))
(+.f64 0 (-.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 -2 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) -1))))
(+.f64 (-.f64 1 (+.f64 (*.f64 eps (sin.f64 x)) -1)) -1)
(+.f64 (.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 1/2) (.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 1/2))
(.f64 2 (.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1/2))
(.f64 1 (-.f64 1 (.f64 eps (sin.f64 x))))
(.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 1)
(.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) -1))
(.f64 (.f64 2 (-.f64 1 (*.f64 eps (sin.f64 x)))) 1/2)
(.f64 4 (/.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 4))
(.f64 (+.f64 (.f64 eps (sin.f64 x)) -1) -1)
(.f64 (.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 2 (-.f64 1 (*.f64 eps (sin.f64 x)))))
(.f64 (.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 4))
(.f64 (/.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 4) 4)
(/.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)
(/.f64 (.f64 2 (-.f64 1 (.f64 eps (sin.f64 x)))) 2)
(/.f64 (+.f64 (*.f64 eps (sin.f64 x)) -1) -1)
(/.f64 (.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (.f64 eps (sin.f64 x)) -1)) -2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (*.f64 eps (sin.f64 x)) -1))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (+.f64 (.f64 eps (sin.f64 x)) -1))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (*.f64 eps (sin.f64 x)) -1)))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (+.f64 (.f64 eps (sin.f64 x)) -1)))) -8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 eps (sin.f64 x))) 4))))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 eps (sin.f64 x)) -1)))) (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 eps (sin.f64 x)) -1))))) 8)
(pow.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) -1))

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

eval332.0ms (1.4%)

Compiler: Compiled 12860 to 7996 computations (37.8% saved)

prune320.0ms (1.4%)

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	652	10	662
Fresh	5	20	25
Picked	0	1	1
Done	2	9	11
Total	659	40	699

Error

15.8b

Counts

699 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	56.9b	(-.f64 (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) -1) (-.f64 1 (+.f64 (*.f64 eps (sin.f64 x)) -1))) 1)
	42.2b	(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
	43.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 eps) x)))) (cos.f64 x))
	43.5b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
✓	43.7b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	33.8b	(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
✓	42.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	41.6b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	42.3b	(-.f64 (cos.f64 eps) 1)
	42.4b	(-.f64 1 (-.f64 2 (cos.f64 eps)))
	43.8b	(-.f64 1 (-.f64 1 (-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))))
	41.7b	(-.f64 1 (-.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	57.3b	(-.f64 1 (-.f64 1 (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))))
	42.4b	(-.f64 1 (+.f64 (*.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (cos.f64 x))))
	43.6b	(-.f64 1 (+.f64 (*.f64 x (sin.f64 eps)) (-.f64 2 (cos.f64 eps))))
	56.6b	(-.f64 1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
	57.0b	(-.f64 1 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 eps (.f64 (pow.f64 eps 3) -1/6))))))
	55.2b	(-.f64 1 (cos.f64 x))
	44.1b	(+.f64 (-.f64 (.f64 x (sin.f64 (neg.f64 eps))) (cos.f64 x)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
✓	56.9b	(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (-.f64 1 (*.f64 eps (sin.f64 x)))) -1)
	44.2b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) -1)
	48.3b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 eps (.f64 1/6 (pow.f64 x 3)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	41.6b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
	40.6b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
	57.0b	(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))) -1)
✓	34.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
	34.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
	42.3b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
✓	48.0b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	43.5b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
✓	42.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	42.6b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
	41.7b	(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
	42.4b	(+.f64 -2 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)) -1))
	56.9b	(+.f64 -2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (-.f64 2 (*.f64 eps (sin.f64 x)))))
	42.4b	(+.f64 -2 (+.f64 -2 (-.f64 4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
✓	56.9b	(+.f64 -2 2)
	40.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	54.4b	(*.f64 eps (neg.f64 x))
	50.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 598 to 463 computations (22.6% saved)

regimes234.0ms (1%)

Counts

68 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

93.0ms	eps
83.0ms	x
36.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.6b	3	`x`
17.8b	3	`eps`
19.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1025 to 565 computations (44.9% saved)

bsearch85.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	0.037471000189329105	280246697601.80975
45.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

40.0ms	93×	body	1024	valid
24.0ms	174×	body	256	valid
12.0ms	48×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 754 to 590 computations (21.8% saved)

regimes195.0ms (0.8%)

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

72.0ms	x
71.0ms	eps
33.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.8b	3	`x`
17.9b	3	`eps`
19.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 793 to 421 computations (46.9% saved)

bsearch80.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.037471000189329105	280246697601.80975
41.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

33.0ms	92×	body	1024	valid
25.0ms	177×	body	256	valid
13.0ms	50×	body	512	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 694 to 510 computations (26.5% saved)

regimes189.0ms (0.8%)

Counts

58 → 3

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	eps
69.0ms	x
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.8b	3	`x`
17.9b	3	`eps`
19.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 747 to 397 computations (46.9% saved)

bsearch194.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	0.037471000189329105	280246697601.80975
77.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

102.0ms	183×	body	256	valid
44.0ms	7×	body	2048	valid
30.0ms	81×	body	1024	valid
12.0ms	49×	body	512	valid

Compiler

Compiled 614 to 470 computations (23.5% saved)

regimes296.0ms (1.3%)

Counts

48 → 3

Calls

Call 1

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

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

Calls

3 calls:

139.0ms	eps
87.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
58.0ms	x

Results

Error	Segments	Branch
26.8b	3	`x`
17.9b	3	`eps`
19.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 533 to 274 computations (48.6% saved)

bsearch90.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.037471000189329105	280246697601.80975
47.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

37.0ms	98×	body	1024	valid
29.0ms	158×	body	256	valid
16.0ms	59×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 494 to 370 computations (25.1% saved)

regimes168.0ms (0.7%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	eps
45.0ms	x
21.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.8b	3	`x`
24.7b	3	`eps`
26.2b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 330 to 165 computations (50% saved)

bsearch341.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
195.0ms	0.037471000189329105	280246697601.80975
146.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

245.0ms	87×	body	1024	valid
63.0ms	54×	body	512	valid
24.0ms	171×	body	256	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 334 to 250 computations (25.1% saved)

regimes93.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

Calls

2 calls:

68.0ms	x
22.0ms	eps

Results

Error	Segments	Branch
29.4b	3	`x`
25.7b	3	`eps`

Compiler

Compiled 88 to 58 computations (34.1% saved)

bsearch210.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	0.037471000189329105	280246697601.80975
127.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

118.0ms	198×	body	256	valid
27.0ms	71×	body	1024	valid
10.0ms	42×	body	512	valid
5.0ms	9×	body	2048	valid

Compiler

Compiled 314 to 250 computations (20.4% saved)

regimes68.0ms (0.3%)

Counts

5 → 5

Calls

Call 1

Inputs
(+.f64 -2 2)
(*.f64 eps (neg.f64 x))
(-.f64 1 (cos.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:

46.0ms	x
21.0ms	eps

Results

Error	Segments	Branch
42.3b	1	`x`
33.7b	5	`eps`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch559.0ms (2.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
43.0ms	0.037471000189329105	280246697601.80975
113.0ms	1.9472411994454727e-106	1.9558722757835242e-93
363.0ms	-4.3258385184282055e-218	-4.1360785081371796e-222
40.0ms	-0.4612418124929806	-1.7992198699216484e-12

Results

371.0ms	132×	body	2048	valid
139.0ms	234×	body	1024	valid
23.0ms	172×	body	256	valid
17.0ms	70×	body	512	valid

Compiler

Compiled 584 to 486 computations (16.8% saved)

regimes61.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
(+.f64 -2 2)
(*.f64 eps (neg.f64 x))
(-.f64 1 (cos.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:

55.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
42.3b	1	`x`
39.4b	3	`eps`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch125.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	1.9558722757835242e-93	1.9412046580037282e-91
33.0ms	-5.52291296995305e-24	-8.961275429440484e-26

Results

54.0ms	12×	body	2048	valid
48.0ms	124×	body	1024	valid
13.0ms	59×	body	256	valid
7.0ms	29×	body	512	valid

Compiler

Compiled 210 to 164 computations (21.9% saved)

regimes21.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
10.0ms	eps

Results

Error	Segments	Branch
52.1b	3	`x`
52.1b	3	`eps`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch173.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	5048865083955.4	9.908628051189284e+20
55.0ms	-2.3007404822378858e-5	-1.0204468949357762e-6

Results

74.0ms	49×	body	256	valid
68.0ms	128×	body	1024	valid
18.0ms	65×	body	512	valid
9.0ms	14×	body	2048	valid

Compiler

Compiled 238 to 186 computations (21.8% saved)

regimes63.0ms (0.3%)

Accuracy

Total -3.4b remaining (-6.2%)

Threshold costs -3.4b (-6.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
54.4b	1	`x`
54.4b	1	`eps`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	765

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -7926335344172073/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7926335344172073/36028797018963968) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7349874591868649/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7926335344172073/144115188075855872) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -8358680908399641/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/72057594037927936) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5764607523034235/144115188075855872) (-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3246626956972881/590295810358705651712) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5476377146882523/144115188075855872) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -1558380939346983/9444732965739290427392) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5476377146882523/144115188075855872) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -4796153459164483/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -6041158400760519/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 8056619619631155/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5476377146882523/144115188075855872) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -7758437965797397/2722258935367507707706996859454145691648) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 x -6788401819125115/295147905179352825856) (-.f64 1 (cos.f64 x)) (if (<=.f64 x 1080000000000000) (*.f64 eps (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 eps (neg.f64 x))
(+.f64 -2 2)

Outputs
(if (<=.f64 eps -7926335344172073/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7926335344172073/36028797018963968) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7349874591868649/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7926335344172073/144115188075855872) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -8358680908399641/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/72057594037927936) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -1/2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5764607523034235/144115188075855872) (-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3246626956972881/590295810358705651712) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5476377146882523/144115188075855872) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -1558380939346983/9444732965739290427392) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5476377146882523/144115188075855872) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -4796153459164483/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -6041158400760519/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 8056619619631155/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5476377146882523/144115188075855872) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -7758437965797397/2722258935367507707706996859454145691648) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 x -6788401819125115/295147905179352825856) (-.f64 1 (cos.f64 x)) (if (<=.f64 x 1080000000000000) (*.f64 eps (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 eps (neg.f64 x))
(+.f64 -2 2)
0

Compiler

Compiled 302 to 195 computations (35.4% saved)

soundness175.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-35`
1288×	`rational.json-simplify-2`
1110×	`rational.json-simplify-1`
868×	`rational.json-simplify-26`
852×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2385
1	374	2327
2	906	2327
3	2283	2259
4	4040	2259
5	5372	2259
6	6594	2259
7	7432	2259

Stop Event

1×	node limit

Compiler

Compiled 386 to 237 computations (38.6% saved)

end185.0ms (0.8%)

Compiler: Compiled 282 to 143 computations (49.3% saved)