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)

sample8.6s (31.3%)

Results

4.4s	3896×	body	1024	valid
3.1s	2165×	body	2048	valid
862.0ms	1409×	body	512	valid
179.0ms	781×	body	256	valid
6.0ms	5×	body	4096	valid

Bogosity

preprocess228.0ms (0.8%)

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)

simplify558.0ms (2%)

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

41.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	1.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	4.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite128.0ms (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	37
1	61	37
2	147	37
3	335	37
4	707	37
5	1703	37
6	3571	37
7	5864	37
8	7880	37

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

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))))))))

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

simplify210.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1756×	`rational.json-simplify-35`
1254×	`rational.json-simplify-51`
1246×	`rational.json-simplify-52`
1096×	`rational.json-simplify-1`
692×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2589
1	461	2531
2	1205	2523
3	2700	2455
4	4642	2455
5	5875	2455
6	6806	2455
7	7404	2455
8	7986	2455

Stop Event

1×	node limit

Counts

131 → 157

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

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

eval152.0ms (0.6%)

Compiler: Compiled 2385 to 1168 computations (51% saved)

prune58.0ms (0.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	139	18	157
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	19	158

Error

16.0b

Counts

158 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
▶	43.0b	(-.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))) (cos.f64 x))
▶	43.4b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
▶	54.4b	(-.f64 (cos.f64 x) (cos.f64 x))
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	41.1b	(-.f64 (cos.f64 eps) 1)
	39.7b	(+.f64 (+.f64 (cos.f64 eps) -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)))))
	31.8b	(+.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)))))
▶	31.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
	31.5b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	42.4b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	42.8b	(+.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)))))
	43.0b	(+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))))
	42.4b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
	41.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 603 to 444 computations (26.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	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))
✓	0.2b	(*.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	@	-inf	(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))

rewrite115.0ms (0.4%)

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)))))

simplify239.0ms (0.9%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(-.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)

rewrite124.0ms (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)))))

simplify289.0ms (1.1%)

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)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)

Compiler

Compiled 10 to 4 computations (60% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	1.1b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
	4.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`exponential.json-3`
1438×	`rational.json-1`
1438×	`rational.json-2`
1438×	`rational.json-4`
1438×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	101	48
2	206	48
3	411	48
4	842	48
5	1971	48
6	4146	48
7	6289	48

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational.json-simplify-2`
1204×	`rational.json-simplify-35`
1078×	`rational.json-simplify-48`
830×	`rational.json-simplify-1`
698×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	3090
1	426	3064
2	841	3064
3	2026	3020
4	4923	3020
5	6985	3020
6	7986	3020

Stop Event

1×	node limit

Counts

90 → 130

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
✓	0.1b	(.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
✓	0.2b	(*.f64 x (neg.f64 (sin.f64 eps)))
✓	1.1b	(-.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))

Compiler

Compiled 84 to 41 computations (51.2% saved)

series11.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`rational.json-1`
1690×	`rational.json-2`
1690×	`rational.json-3`
1688×	`rational.json-4`
1170×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	154
1	134	146
2	325	146
3	773	146
4	1870	146
5	4360	146
6	6957	146

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

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

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

simplify178.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1806×	`rational.json-simplify-35`
1262×	`rational.json-simplify-51`
1198×	`rational.json-simplify-1`
1114×	`rational.json-simplify-2`
1078×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	7557
1	585	7537
2	1291	7495
3	3050	7425
4	5812	7425
5	7182	7425

Stop Event

1×	node limit

Counts

183 → 193

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

eval186.0ms (0.7%)

Compiler: Compiled 11694 to 7098 computations (39.3% saved)

prune122.0ms (0.4%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	584	11	595
Fresh	2	11	13
Picked	1	0	1
Done	2	3	5
Total	589	25	614

Error

15.3b

Counts

614 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	43.0b	(-.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (cos.f64 x))
	43.2b	(-.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	53.5b	(-.f64 (cos.f64 x) 1)
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
▶	53.1b	(-.f64 1 (cos.f64 x))
▶	43.5b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))
	44.3b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))))
	39.7b	(+.f64 (+.f64 (cos.f64 eps) -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)))))
	31.8b	(+.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)))))
✓	31.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
▶	31.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	31.5b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
▶	41.2b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
▶	46.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	42.4b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	43.0b	(+.f64 -1 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))))
	42.4b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
	41.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	50.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 769 to 581 computations (24.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	0.2b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`rational.json-1`
1746×	`rational.json-2`
1196×	`rational.json-simplify-35`
980×	`exponential.json-3`
980×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	91	38
2	197	38
3	405	38
4	835	38
5	2017	38
6	4413	38
7	7475	38

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational.json-simplify-35`
1132×	`rational.json-simplify-1`
1062×	`rational.json-simplify-52`
1038×	`rational.json-simplify-51`
988×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1918
1	339	1912
2	1003	1900
3	2298	1894
4	4334	1894
5	6705	1894

Stop Event

1×	node limit

Counts

90 → 99

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	2.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-simplify-35`
1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-4`
1462×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	55	11
2	134	11
3	268	11
4	516	11
5	1130	11
6	2571	11
7	4420	11
8	5462	11
9	7266	11

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))))))) (#(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 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) -1) 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 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 2 (/.f64 (+.f64 (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 (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 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)) -1)))) (#(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 (-.f64 1 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1))))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)))))) 256)))) (#(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 neg.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 (cos.f64 x) -2)))))))

simplify289.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2406×	`rational.json-simplify-35`
1392×	`rational.json-simplify-1`
1318×	`rational.json-simplify-2`
912×	`rational.json-simplify-45`
594×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	684
1	251	684
2	528	684
3	1356	684
4	2976	684
5	3964	684
6	4675	684
7	5359	684
8	6260	684
9	6576	684
10	6864	684
11	7168	684
12	7479	684
13	7842	684
14	7992	684

Stop Event

1×	node limit

Counts

48 → 56

Calls

Call 1

Inputs
(*.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 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))))
(+.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 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) -1) 1/2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(.f64 -1 (.f64 2 (/.f64 (+.f64 (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 (cos.f64 x) -1) 2) -2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)) -1)
(/.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 (-.f64 1 (cos.f64 x)) 8) 8)
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))) 32)
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)))))) 256)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(neg.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)))
(neg.f64 (+.f64 1 (+.f64 (cos.f64 x) -2)))

Outputs
(*.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 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.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 -1/24 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.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 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))))
(-.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 1 (cos.f64 x))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) -1) 1/2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (*.f64 1/2 (+.f64 (cos.f64 x) -1))))
(+.f64 (+.f64 -1 (.f64 (+.f64 (cos.f64 x) -1) -1/2)) (-.f64 1 (.f64 1/2 (+.f64 (cos.f64 x) -1))))
(+.f64 (+.f64 -1 (.f64 1/2 (-.f64 1 (cos.f64 x)))) (-.f64 1 (.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.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 2 (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(.f64 -1 (.f64 2 (/.f64 (+.f64 (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 (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 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)) -1)
(-.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 (-.f64 1 (cos.f64 x)) 8) 8)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) 16)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))) -8)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))) 32)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (cos.f64 x) -1)))) -16)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)))) 64)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 x) -1))))) -32)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))))) 128)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)))))) 256)
(-.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))
(neg.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2)))
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 1 (+.f64 (cos.f64 x) -2)))
(-.f64 1 (cos.f64 x))

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(+.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
0.0ms	eps	@	0	(+.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)))
0.0ms	x	@	inf	(+.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	eps	@	-inf	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))

rewrite173.0ms (0.6%)

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)))))))

simplify601.0ms (2.2%)

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)))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`rational.json-simplify-35`
1278×	`exponential.json-3`
1278×	`rational.json-1`
1278×	`rational.json-2`
1278×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	71	50
2	151	28
3	313	28
4	623	28
5	1461	28
6	2916	28
7	4325	28
8	5414	28
9	6888	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (cos.f64 eps)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))))

simplify351.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2016×	`rational.json-simplify-35`
1386×	`rational.json-simplify-1`
1264×	`rational.json-simplify-2`
1242×	`rational.json-simplify-38`
734×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1170
1	258	1170
2	511	1170
3	1486	1170
4	2932	1170
5	3690	1170
6	3853	1170
7	3996	1170
8	4175	1170
9	4427	1170
10	4643	1170
11	4973	1170
12	5490	1170
13	5784	1170
14	6051	1170
15	6237	1170
16	6600	1170
17	6830	1170
18	7302	1170

Stop Event

1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
-1/2
(-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/48 (pow.f64 eps 4))) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))) 1/2)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(-.f64 (cos.f64 eps) 1)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(.f64 2 (.f64 1/2 (+.f64 -1 (cos.f64 eps))))
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))
(.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 -1 (cos.f64 eps)) 4))
(.f64 1/4 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))
(.f64 (.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(.f64 1 (.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(*.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 (+.f64 (cos.f64 eps) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))
(.f64 (.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)
(.f64 1/4 (.f64 2 (+.f64 (cos.f64 eps) -2)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)
(/.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(/.f64 (+.f64 (cos.f64 eps) -2) 2)
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)
(pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 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 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (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 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
-1/2
(-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/2)
(-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/48 (pow.f64 eps 4))) 1/2)
(+.f64 (.f64 (pow.f64 eps 4) 1/48) (-.f64 (.f64 (pow.f64 eps 2) -1/4) 1/2))
(+.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/4) 1/2) (.f64 (pow.f64 eps 4) 1/48))
(+.f64 (.f64 (pow.f64 eps 2) -1/4) (-.f64 (.f64 (pow.f64 eps 4) 1/48) 1/2))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))) 1/2)
(+.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/48) (.f64 (pow.f64 eps 6) -1/1440)) (-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2))
(+.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/4) 1/2) (+.f64 (.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 6) -1/1440)))
(+.f64 (.f64 (pow.f64 eps 2) -1/4) (+.f64 (.f64 (pow.f64 eps 4) 1/48) (-.f64 (*.f64 (pow.f64 eps 6) -1/1440) 1/2)))
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(.f64 2 (.f64 1/2 (+.f64 -1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 -1 (cos.f64 eps)) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 1 (.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (+.f64 (cos.f64 eps) -2) 1/2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 (.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 1/4 (.f64 2 (+.f64 (cos.f64 eps) -2)))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (+.f64 (cos.f64 eps) -2) 2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)
✓	0.2b	(-.f64 (*.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1))
✓	1.2b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))
✓	4.1b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 120 to 84 computations (30% saved)

series13.0ms (0%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))
1.0ms	eps	@	inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))
1.0ms	x	@	inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))
1.0ms	eps	@	-inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))
0.0ms	eps	@	0	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (-.f64 2 (pow.f64 x 2)) 4) -1)))

rewrite4.0s (14.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`rational.json-1`
1684×	`rational.json-simplify-35`
1144×	`exponential.json-3`
1144×	`rational.json-2`
1144×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	182
1	150	182
2	293	182
3	602	182
4	1239	182
5	3014	182
6	5694	182
7	7835	182

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

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

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

simplify1.2s (4.2%)

Algorithm

1×	egg-herbie

Rules

1774×	`rational.json-simplify-51`
1750×	`rational.json-simplify-35`
1650×	`rational.json-simplify-2`
1446×	`rational.json-simplify-48`
658×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	295	7941
1	656	7795
2	1447	7773
3	3146	7705
4	4316	7705
5	4893	7705
6	5600	7705
7	6483	7705
8	7039	7705
9	7212	7705

Stop Event

1×	node limit

Counts

179 → 261

Calls

Call 1

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

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

eval844.0ms (3.1%)

Compiler: Compiled 15811 to 11069 computations (30% saved)

prune364.0ms (1.3%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	626	10	636
Fresh	2	15	17
Picked	1	0	1
Done	0	7	7
Total	629	32	661

Error

15.2b

Counts

661 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	43.0b	(-.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (cos.f64 x))
	43.2b	(-.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	53.5b	(-.f64 (cos.f64 x) 1)
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
✓	53.1b	(-.f64 1 (cos.f64 x))
▶	54.4b	(-.f64 1 1)
▶	43.5b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
	44.3b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))))
	49.8b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 -1/2 (pow.f64 eps 2)))
	35.1b	(+.f64 (.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	31.8b	(+.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)))))
✓	31.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓	31.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
▶	31.5b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
✓	41.2b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
	51.1b	(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
✓	46.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	53.1b	(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
	42.4b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	53.1b	(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))))
	43.0b	(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
▶	42.4b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
	41.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	53.1b	(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	51.5b	(*.f64 eps (neg.f64 x))
	50.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 811 to 635 computations (21.7% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
✓	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	3.2b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
✓	4.6b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))

Compiler

Compiled 77 to 49 computations (36.4% saved)

series89.0ms (0.3%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
84.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	x	@	0	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms	eps	@	inf	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`rational.json-simplify-35`
1206×	`exponential.json-3`
1206×	`rational.json-1`
1206×	`rational.json-2`
1206×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	140	130
2	290	130
3	590	130
4	1229	130
5	3059	130
6	5923	130

Stop Event

1×	node limit

Counts

4 → 59

Calls

Call 1

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

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

simplify338.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational.json-simplify-35`
1298×	`rational.json-simplify-51`
1206×	`rational.json-simplify-2`
968×	`rational.json-simplify-48`
876×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	4777
1	454	4651
2	1029	4573
3	2366	4537
4	5048	4537
5	5909	4537
6	6484	4537
7	7043	4537

Stop Event

1×	node limit

Counts

131 → 118

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	4.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite182.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`rational.json-simplify-35`
1286×	`exponential.json-3`
1286×	`rational.json-1`
1286×	`rational.json-2`
1286×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	70	17
2	161	17
3	310	17
4	628	17
5	1430	17
6	2850	17
7	4256	17
8	5382	17
9	6413	17
10	7043	17
11	7591	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational.json-simplify-51`
1436×	`rational.json-simplify-35`
1284×	`rational.json-simplify-26`
968×	`rational.json-simplify-1`
898×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1133
1	243	1105
2	542	1105
3	1402	1069
4	2578	1069
5	3214	1069
6	3660	1069
7	4956	1069
8	5740	1069
9	6243	1069
10	7714	1069

Stop Event

1×	node limit

Counts

49 → 72

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 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) 1)
(-.f64 (+.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)))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))) 1)
(-.f64 (+.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)))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (+.f64 x eps)) -1)
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0)
(+.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(+.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2) (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2))
(+.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) -1))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2))
(.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 2) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 2) -2))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8))))) 128)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 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 (sin.f64 eps) (neg.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 -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 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) 1)
(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) -1/2))))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (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 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))) 1)
(+.f64 (+.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)))) 1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.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 -1 (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x)))) 1)
(+.f64 (.f64 eps (.f64 (sin.f64 x) -1)) (+.f64 (cos.f64 x) -1))
(+.f64 -1 (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 -1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))))
(+.f64 (cos.f64 x) (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))) 1)
(+.f64 (+.f64 (.f64 eps (.f64 (sin.f64 x) -1)) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (cos.f64 x) -1))
(+.f64 -1 (+.f64 (+.f64 (cos.f64 x) (.f64 eps (neg.f64 (sin.f64 x)))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 -1 (+.f64 (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (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 -1 (*.f64 eps (sin.f64 x)))))
(-.f64 (+.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)))))) 1)
(+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (cos.f64 x) (.f64 eps (.f64 (sin.f64 x) -1)))) (-.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(+.f64 -1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (+.f64 (cos.f64 x) (.f64 eps (neg.f64 (sin.f64 x)))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 -1 (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 -1 (+.f64 (+.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(+.f64 -1 (+.f64 (+.f64 (cos.f64 x) (.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 -1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) -1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(+.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(+.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2) (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(+.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) -1))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(.f64 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 2) -2) 1/2)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 1/4)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 2) -2))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2) 2)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(.f64 1/4 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) -2) 2)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8) 8)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8)) 16)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8))) 32)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8)))) 64)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 8))))) 128)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.0b	(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
	0.2b	(*.f64 x (neg.f64 (sin.f64 eps)))
✓	1.7b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite997.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`rational.json-1`
1672×	`rational.json-2`
1402×	`rational.json-simplify-35`
1110×	`exponential.json-3`
1110×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	90	61
2	216	61
3	498	61
4	1132	61
5	2536	61
6	4943	61
7	7593	61

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify232.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-35`
1200×	`rational.json-simplify-26`
1010×	`rational.json-simplify-2`
988×	`rational.json-simplify-53`
932×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	3153
1	508	2979
2	1339	2979
3	2940	2811
4	4039	2811
5	6351	2811
6	7520	2811

Stop Event

1×	node limit

Counts

149 → 155

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 (.f64 -1 (.f64 eps x)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (cos.f64 eps)) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(.f64 -1 (.f64 x (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(.f64 -1 (.f64 x (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
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))))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 1)
(-.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 0)
(.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 1)
(.f64 1 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))))
(.f64 2 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 1/2))
(.f64 2 (+.f64 (.f64 (cos.f64 eps) 1/2) (/.f64 (+.f64 -1 (*.f64 x (sin.f64 (neg.f64 eps)))) 2)))
(.f64 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 4))
(.f64 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 2))
(.f64 1/2 (+.f64 (.f64 (+.f64 -1 (.f64 x (sin.f64 (neg.f64 eps)))) 2) (.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 4))
(.f64 (/.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 4) 4)
(/.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 1)
(/.f64 (.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 8)))) 64)
(pow.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 -1 (cos.f64 eps))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 0)
(.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 1)
(.f64 1 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))))
(.f64 2 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 1/2))
(.f64 2 (+.f64 (.f64 (sin.f64 eps) (/.f64 x -2)) (*.f64 (cos.f64 eps) 1/2)))
(.f64 2 (+.f64 (.f64 (cos.f64 eps) 1/2) (*.f64 (sin.f64 eps) (/.f64 x -2))))
(.f64 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 2))
(.f64 1/2 (+.f64 (.f64 (sin.f64 eps) (.f64 x -2)) (.f64 (cos.f64 eps) 2)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) (.f64 (sin.f64 eps) (.f64 x -2))))
(.f64 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 4))
(.f64 (/.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 1)
(/.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 2) 2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 4) 4)
(/.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) 1)
(+.f64 -1 (+.f64 1 (sin.f64 eps)))
(+.f64 (sin.f64 eps) 0)
(+.f64 0 (sin.f64 eps))
(+.f64 1 (+.f64 -1 (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) 1/2))
(+.f64 (+.f64 1 (sin.f64 eps)) -1)
(-.f64 (sin.f64 eps) 0)
(-.f64 0 (sin.f64 (neg.f64 eps)))
(-.f64 1 (-.f64 1 (sin.f64 eps)))
(-.f64 (+.f64 -1 (sin.f64 eps)) -1)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(*.f64 -1 (sin.f64 (neg.f64 eps)))
(*.f64 (sin.f64 eps) 1)
(*.f64 (sin.f64 (neg.f64 eps)) -1)
(*.f64 1 (sin.f64 eps))
(.f64 2 (.f64 (sin.f64 eps) 1/2))
(.f64 (.f64 (sin.f64 eps) 2) 1/2)
(*.f64 4 (/.f64 (sin.f64 eps) 4))
(.f64 (.f64 (sin.f64 eps) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 eps) 2))
(.f64 (.f64 (sin.f64 eps) 1/2) 2)
(.f64 1/4 (.f64 (sin.f64 eps) 4))
(*.f64 (/.f64 (sin.f64 eps) 4) 4)
(/.f64 (sin.f64 eps) 1)
(/.f64 (sin.f64 (neg.f64 eps)) -1)
(/.f64 (*.f64 (sin.f64 eps) 2) 2)
(/.f64 (*.f64 (sin.f64 eps) -2) -2)
(/.f64 (*.f64 (sin.f64 eps) 4) 4)
(/.f64 (*.f64 (sin.f64 eps) -4) -4)
(/.f64 (*.f64 (sin.f64 eps) 8) 8)
(/.f64 (*.f64 (sin.f64 (neg.f64 eps)) 8) -8)
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) 16)
(/.f64 (.f64 2 (.f64 (sin.f64 (neg.f64 eps)) 8)) -16)
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 8)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 eps) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 (neg.f64 eps)) 8))) -32)
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 eps) 8))) -16)
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) 2)
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) -4)) 4)
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 eps)) 8)) 8)
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 eps) 8))) -16)
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 (neg.f64 eps)) 8))) 16)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 8))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) -2)) (neg.f64 (.f64 (sin.f64 eps) -2))) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) -4)) (neg.f64 (.f64 (sin.f64 eps) -4))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 (neg.f64 eps)) 8)) (neg.f64 (.f64 (sin.f64 (neg.f64 eps)) 8))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 eps) 8))) (neg.f64 (.f64 2 (.f64 (sin.f64 eps) 8)))) -32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 (neg.f64 eps)) 8))) (neg.f64 (.f64 2 (.f64 (sin.f64 (neg.f64 eps)) 8)))) 32)
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 8))) (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 8)))) 16)
(pow.f64 (sin.f64 eps) 1)
(neg.f64 (sin.f64 (neg.f64 eps)))

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

localize111.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4)))
✓	0.3b	(+.f64 1/2 (*.f64 (cos.f64 eps) 1/2))
✓	1.2b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
	4.1b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 96 to 64 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
0.0ms	eps	@	0	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
0.0ms	eps	@	-inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
0.0ms	eps	@	inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
0.0ms	x	@	-inf	(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))

rewrite117.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational.json-simplify-35`
1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-4`
1520×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	133
1	154	133
2	325	133
3	674	133
4	1436	133
5	3068	127
6	4855	127
7	6924	127

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(+.f64 (-.f64 (*.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4))) (+.f64 1/2 (*.f64 (cos.f64 eps) 1/2)))

(+.f64 1/2 (*.f64 (cos.f64 eps) 1/2))

(-.f64 (*.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (-.f64 2 (pow.f64 x 2)) 4)))

Outputs

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

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

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

simplify262.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1650×	`rational.json-simplify-35`
1104×	`rational.json-simplify-51`
1044×	`rational.json-simplify-2`
1000×	`rational.json-simplify-48`
984×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	6427
1	565	6285
2	1030	6265
3	1961	6225
4	3468	6225
5	4745	6225
6	5413	6225
7	6821	6225
8	7512	6225
9	7991	6225

Stop Event

1×	node limit

Counts

137 → 205

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (cos.f64 x)) (.f64 1/4 (-.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (.f64 1/2 (cos.f64 x))) (.f64 1/4 (-.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 1/2 (cos.f64 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 -1/4 (cos.f64 x)) 1/4)))) (.f64 1/4 (-.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 1/2 (cos.f64 x)) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 (pow.f64 eps 2) (-.f64 (.f64 -1/4 (cos.f64 x)) 1/4))))) (.f64 1/4 (-.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (.f64 1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x (sin.f64 eps))) (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 (+.f64 1/4 (.f64 -1/4 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(*.f64 1/4 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 (cos.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 (cos.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 (cos.f64 eps)))) 1)
(*.f64 1/4 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 (cos.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 (cos.f64 eps)))) 1)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 eps (.f64 -1 x)))) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 (cos.f64 eps)))) 1)
1
(+.f64 1 (*.f64 -1/4 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/48 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(-.f64 (.f64 1/2 (cos.f64 x)) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (.f64 1/2 (cos.f64 x))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 1/2 (cos.f64 x)) (.f64 -1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (.f64 1/2 (cos.f64 x)) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/4 (.f64 (pow.f64 eps 2) (cos.f64 x)))))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (+.f64 1 (.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (+.f64 1 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (+.f64 1 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (+.f64 1 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (cos.f64 (-.f64 x (.f64 -1 eps)))) (+.f64 1 (*.f64 1/4 (-.f64 2 (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (cos.f64 eps)) 3/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x (sin.f64 eps))) (*.f64 1/2 (cos.f64 eps))) 3/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x (sin.f64 eps))) (+.f64 (.f64 1/2 (cos.f64 eps)) (.f64 (+.f64 1/4 (*.f64 -1/4 (cos.f64 eps))) (pow.f64 x 2)))) 3/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x (sin.f64 eps))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 1/2 (cos.f64 eps)) (.f64 (+.f64 1/4 (*.f64 -1/4 (cos.f64 eps))) (pow.f64 x 2))))) 3/2)
(*.f64 1/4 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/4 (pow.f64 x 2))) 3/2)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/4 (pow.f64 x 2))) 3/2)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 1/4 (pow.f64 x 2))) 3/2)
(*.f64 1/4 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 eps (.f64 -1 x)))) (*.f64 1/4 (pow.f64 x 2))) 3/2)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 eps (.f64 -1 x)))) (*.f64 1/4 (pow.f64 x 2))) 3/2)
(-.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 eps (.f64 -1 x)))) (*.f64 1/4 (pow.f64 x 2))) 3/2)
(-.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 0)
(.f64 1/2 (.f64 2 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))))
(.f64 1 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))))
(.f64 2 (.f64 1/2 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))))
(.f64 4 (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 4))
(.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 1)
(.f64 (.f64 2 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) 1/2)
(.f64 1/4 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))))
(.f64 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) 1/4)
(.f64 (.f64 1/2 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) 2)
(.f64 (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 4) 4)
(/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 1)
(/.f64 (.f64 2 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) 2)
(/.f64 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) 4)
(/.f64 (.f64 2 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))))))) 64)
(pow.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 eps) (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 1)
(-.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 eps))) 0)
(*.f64 1/2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))))
(.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 eps))))
(.f64 2 (.f64 1/2 (+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))
(*.f64 4 (/.f64 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))) 8))
(.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 eps))) 1)
(*.f64 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))) 1/2)
(.f64 1/4 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps)))))
(.f64 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps)))) 1/4)
(.f64 (.f64 1/2 (+.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 2)
(*.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))) 8) 4)
(/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 eps))) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))) 2)
(/.f64 (*.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps)))) 4)
(/.f64 (.f64 2 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps)))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 eps)))))))) 64)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 eps))) 1)
(+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (-.f64 -1 (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)))
(+.f64 1 (-.f64 -2 (.f64 1/4 (-.f64 (-.f64 2 (pow.f64 x 2)) (.f64 (cos.f64 (+.f64 eps x)) 2)))))
(+.f64 (+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 (-.f64 2 (pow.f64 x 2)) 1/4))) 0)
(+.f64 0 (+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 (-.f64 2 (pow.f64 x 2)) 1/4))))
(+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)))
(+.f64 -2 (-.f64 1 (.f64 1/4 (-.f64 (-.f64 2 (pow.f64 x 2)) (.f64 (cos.f64 (+.f64 eps x)) 2)))))
(+.f64 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)) -1)
(+.f64 (-.f64 -1 (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)) (.f64 1/2 (cos.f64 (+.f64 eps x))))
(+.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) -1) (neg.f64 (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)))
(+.f64 (neg.f64 (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)) (+.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) -1))
(+.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 4) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 4))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))) (cos.f64 (+.f64 eps x))) 4)) (-.f64 1 (/.f64 (-.f64 (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))) (cos.f64 (+.f64 eps x))) 4)))
(.f64 1/2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))
(.f64 1 (+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (-.f64 2 (pow.f64 x 2)) 1/4))))
(.f64 2 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 4))
(.f64 4 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 8))
(.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) 8) (/.f64 (+.f64 1 (.f64 (-.f64 2 (pow.f64 x 2)) 1/4)) 4)))
(.f64 (+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (-.f64 2 (pow.f64 x 2)) 1/4))) 1)
(.f64 -1 (+.f64 1 (.f64 1/4 (-.f64 (-.f64 2 (pow.f64 x 2)) (*.f64 (cos.f64 (+.f64 eps x)) 2)))))
(.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 1/2)
(.f64 (+.f64 1 (.f64 1/4 (-.f64 (-.f64 2 (pow.f64 x 2)) (*.f64 (cos.f64 (+.f64 eps x)) 2)))) -1)
(.f64 1/4 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))
(.f64 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))))) 1/4)
(.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 4) 2)
(.f64 (/.f64 (-.f64 (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))) (cos.f64 (+.f64 eps x))) 4) -2)
(.f64 (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 8) 4)
(/.f64 (+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 (-.f64 2 (pow.f64 x 2)) 1/4))) 1)
(/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2))))) 2)
(/.f64 (+.f64 1 (.f64 1/4 (-.f64 (-.f64 2 (pow.f64 x 2)) (.f64 (cos.f64 (+.f64 eps x)) 2)))) -1)
(/.f64 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))) 4)
(/.f64 (-.f64 (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))) (cos.f64 (+.f64 eps x))) -2)
(/.f64 (.f64 2 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2))))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))) 16)
(/.f64 (.f64 2 (-.f64 (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))) (cos.f64 (+.f64 eps x)))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) 32)
(/.f64 (.f64 2 (.f64 2 (-.f64 (+.f64 2 (*.f64 1/2 (-.f64 2 (pow.f64 x 2)))) (cos.f64 (+.f64 eps x))))) -8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (.f64 1/2 (-.f64 2 (pow.f64 x 2)))))))))) 64)
(pow.f64 (+.f64 -1 (-.f64 (.f64 1/2 (cos.f64 (+.f64 eps x))) (.f64 (-.f64 2 (pow.f64 x 2)) 1/4))) 1)
(neg.f64 (+.f64 1 (.f64 1/4 (-.f64 (-.f64 2 (pow.f64 x 2)) (.f64 (cos.f64 (+.f64 eps x)) 2)))))

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

eval404.0ms (1.5%)

Compiler: Compiled 15054 to 9909 computations (34.2% saved)

prune253.0ms (0.9%)

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	690	3	693
Fresh	0	20	20
Picked	1	0	1
Done	1	10	11
Total	692	33	725

Error

15.2b

Counts

725 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	43.0b	(-.f64 (+.f64 (.f64 x (sin.f64 (neg.f64 eps))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (cos.f64 x))
	43.2b	(-.f64 (+.f64 (cos.f64 eps) (.f64 x (neg.f64 (sin.f64 eps)))) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	53.5b	(-.f64 (cos.f64 x) 1)
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
✓	53.1b	(-.f64 1 (cos.f64 x))
✓	54.4b	(-.f64 1 1)
	41.2b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) 3/2) (+.f64 1/2 (.f64 (cos.f64 eps) 1/2)))
	44.3b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))))
	49.8b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 -1/2 (pow.f64 eps 2)))
	35.1b	(+.f64 (.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	31.5b	(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
	31.8b	(+.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)))))
✓	31.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓	31.4b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	41.5b	(+.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) -1))
✓	41.2b	(+.f64 (.f64 (cos.f64 eps) 1/2) (+.f64 (.f64 (cos.f64 eps) 1/2) -1))
	51.1b	(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
✓	46.8b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	53.1b	(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
	42.4b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	53.1b	(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))))
	43.0b	(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
✓	42.4b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
	41.4b	(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
	53.1b	(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	51.5b	(*.f64 eps (neg.f64 x))
	50.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 449 to 347 computations (22.7% saved)

regimes548.0ms (2%)

Counts

43 → 3

Calls

Call 1

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

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:

267.0ms	x
151.0ms	eps
21.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.6b	3	`x`
17.1b	3	`eps`
18.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 601 to 348 computations (42.1% saved)

bsearch133.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	1714344867.8797905	9071467282383.373
28.0ms	-12.953884310819218	-0.24369152866923752

Results

95.0ms	55×	body	1024	valid
21.0ms	141×	body	256	valid
10.0ms	40×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 569 to 445 computations (21.8% saved)

regimes501.0ms (1.8%)

Counts

37 → 3

Calls

Call 1

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

Calls

3 calls:

306.0ms	x
49.0ms	eps
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.0b	3	`x`
17.1b	3	`eps`
18.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 439 to 250 computations (43.1% saved)

bsearch68.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1714344867.8797905	9071467282383.373
35.0ms	-12.953884310819218	-0.24369152866923752

Results

26.0ms	140×	body	256	valid
22.0ms	57×	body	1024	valid
8.0ms	31×	body	512	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 464 to 355 computations (23.5% saved)

regimes660.0ms (2.4%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

514.0ms	x
119.0ms	eps
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.1b	3	`x`
17.2b	3	`eps`
18.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 308 to 175 computations (43.2% saved)

bsearch80.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	1.8237376074746853e-9	1714344867.8797905
36.0ms	-12.953884310819218	-0.24369152866923752

Results

28.0ms	74×	body	1024	valid
26.0ms	142×	body	256	valid
13.0ms	45×	body	512	valid
9.0ms	11×	body	2048	valid

Compiler

Compiled 439 to 333 computations (24.1% saved)

regimes175.0ms (0.6%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

109.0ms	x
43.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.3b	3	`x`
17.2b	3	`eps`
18.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 255 to 144 computations (43.5% saved)

bsearch146.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1714344867.8797905	9071467282383.373
112.0ms	-12.953884310819218	-0.24369152866923752

Results

89.0ms	8×	body	2048	valid
24.0ms	57×	body	1024	valid
19.0ms	136×	body	256	valid
10.0ms	39×	body	512	valid

Compiler

Compiled 344 to 265 computations (23% saved)

regimes178.0ms (0.6%)

Counts

20 → 3

Calls

Call 1

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

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:

83.0ms	x
78.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.1b	4	`x`
22.2b	3	`eps`
23.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 153 to 91 computations (40.5% saved)

bsearch204.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
128.0ms	1.2433114986896593e-13	1.8237376074746853e-9
76.0ms	-2.7908027212192576e-9	-2.3309353252722602e-11

Results

53.0ms	34×	body	512	valid
26.0ms	67×	body	1024	valid
19.0ms	126×	body	256	valid
8.0ms	13×	body	2048	valid

Compiler

Compiled 254 to 190 computations (25.2% saved)

regimes59.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	x
21.0ms	eps

Results

Error	Segments	Branch
26.2b	4	`x`
22.7b	3	`eps`

Compiler

Compiled 86 to 60 computations (30.2% saved)

bsearch105.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.2433114986896593e-13	1.8237376074746853e-9
73.0ms	-35560.21931601956	-39.07259599031474

Results

59.0ms	135×	body	256	valid
24.0ms	64×	body	1024	valid
12.0ms	47×	body	512	valid
6.0ms	10×	body	2048	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes74.0ms (0.3%)

Counts

6 → 5

Calls

Call 1

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

68.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
41.1b	1	`x`
34.0b	5	`eps`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch318.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	1.8237376074746853e-9	1714344867.8797905
99.0ms	2.540344827792446e-99	7.706448625885089e-98
140.0ms	-1.0884133095228792e-96	-1.6596965142551382e-103
41.0ms	-0.24369152866923752	-2.7908027212192576e-9

Results

166.0ms	65×	body	2048	valid
98.0ms	248×	body	1024	valid
24.0ms	172×	body	256	valid
20.0ms	75×	body	512	valid

Compiler

Compiled 539 to 449 computations (16.7% saved)

regimes102.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

97.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
41.1b	1	`x`
38.0b	3	`eps`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch179.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	5.068081988095585e-56	7.393966470716415e-51
128.0ms	-39.07259599031474	-12.953884310819218

Results

135.0ms	97×	body	512	valid
22.0ms	58×	body	1024	valid
11.0ms	18×	body	2048	valid
7.0ms	51×	body	256	valid

Compiler

Compiled 210 to 164 computations (21.9% saved)

regimes14.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	eps
6.0ms	x

Results

Error	Segments	Branch
50.5b	2	`x`
50.5b	2	`eps`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch51.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	-4.896389641728294e-46	-1.7140752897728654e-49

Results

25.0ms	80×	body	512	valid
13.0ms	25×	body	1024	valid
10.0ms	15×	body	2048	valid
1.0ms	8×	body	256	valid

Compiler

Compiled 126 to 98 computations (22.2% saved)

regimes7.0ms (0%)

Accuracy

Total -3.7b remaining (-7.3%)

Threshold costs -3.7b (-7.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
51.5b	1	`x`
51.5b	1	`eps`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	711

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1750000000) (+.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 -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1750000000) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1224979098644775/72057594037927936) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1750000000) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -40) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5358672842709649/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 2154797213865323/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 760928193040519/4611686018427387904) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -13) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1537559458360935/210624583337114373395836055367340864637790190801098222508621955072) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -2828210957895823/6427752177035961102167848369364650410088811975131171341205504) (-.f64 1 (cos.f64 x)) (*.f64 eps (neg.f64 x)))
(*.f64 eps (neg.f64 x))
(-.f64 1 1)

Outputs
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1750000000) (+.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 -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1750000000) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1224979098644775/72057594037927936) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1750000000) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -40) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5358672842709649/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 2154797213865323/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 760928193040519/4611686018427387904) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -13) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1537559458360935/210624583337114373395836055367340864637790190801098222508621955072) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -2828210957895823/6427752177035961102167848369364650410088811975131171341205504) (-.f64 1 (cos.f64 x)) (*.f64 eps (neg.f64 x)))
(*.f64 eps (neg.f64 x))
(-.f64 1 1)
0

Compiler

Compiled 283 to 184 computations (35% saved)

soundness266.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1756×	`rational.json-simplify-35`
1254×	`rational.json-simplify-51`
1246×	`rational.json-simplify-52`
1096×	`rational.json-simplify-1`
692×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2589
1	461	2531
2	1205	2523
3	2700	2455
4	4642	2455
5	5875	2455
6	6806	2455
7	7404	2455
8	7986	2455

Stop Event

1×	node limit

Compiler

Compiled 386 to 237 computations (38.6% saved)

end111.0ms (0.4%)

Compiler: Compiled 263 to 130 computations (50.6% saved)