Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample11.9s (46%)

Results

7.4s	3981×	body	1024	valid
3.9s	2175×	body	2048	valid
407.0ms	1342×	body	512	valid
160.0ms	755×	body	256	valid
4.0ms	3×	body	4096	valid

Bogosity

preprocess273.0ms (1.1%)

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)

simplify533.0ms (2.1%)

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

38.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	2.5b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`bool.json-1`
1744×	`bool.json-2`
1696×	`rational.json-1`
1132×	`bool.json-3`
892×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	91	32
2	265	32
3	597	32
4	1333	32
5	3070	32
6	6445	32

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) (.f64 (cos.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 x eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (+.f64 x eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (+.f64 x eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (+.f64 x eps)) 8)) (.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))
((#(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 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.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 2 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) 1/2) (.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -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 (.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 x) (cos.f64 (+.f64 x eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (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 x) (cos.f64 (+.f64 x eps))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) (.f64 2 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (neg.f64 (.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) 4)))) (#(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 not (not (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) (*.f64 (cos.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)) (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))

((#(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 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.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 2 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) (*.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -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 (*.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 x) (cos.f64 (+.f64 x eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (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 x) (cos.f64 (+.f64 x eps))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) 4)))) (#(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 not (not (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))

simplify231.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1330×	`rational.json-simplify-2`
1198×	`rational.json-simplify-48`
1156×	`rational.json-simplify-1`
816×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2303
1	336	2245
2	785	2245
3	1760	2177
4	3377	2177
5	4436	2177
6	5201	2177
7	6229	2177
8	6787	2177
9	7244	2177
10	7550	2177

Stop Event

1×	node limit

Counts

101 → 131

Calls

Call 1

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

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

eval94.0ms (0.4%)

Compiler: Compiled 2079 to 998 computations (52% saved)

prune884.0ms (3.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	115	16	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	17	132

Error

12.9b

Counts

132 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	39.9b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	37.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	37.9b	(-.f64 (cos.f64 eps) 1)
	36.9b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
	38.1b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
	32.9b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	33.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
▶	32.7b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
▶	39.1b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
▶	39.4b	(+.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)))))
▶	39.8b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
	38.3b	(*.f64 eps (neg.f64 (sin.f64 x)))

Compiler

Compiled 563 to 410 computations (27.2% saved)

localize101.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 23 computations (51.1% saved)

series8.0ms (0%)

Counts

4 → 76

Calls

21 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`bool.json-1`
1466×	`bool.json-2`
1426×	`rational.json-1`
1426×	`rational.json-2`
1426×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	157	86
2	432	86
3	945	86
4	2098	86
5	4950	86

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (neg.f64 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 eps (neg.f64 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (.f64 (sin.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (.f64 (sin.f64 x) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4))) (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 eps (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 eps (neg.f64 (sin.f64 x))) (.f64 eps (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 eps (neg.f64 (sin.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))))))))
((#(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 (neg.f64 (sin.f64 x))))))) (#(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 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.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 (.f64 (sin.f64 x) 2) 1/2)))) (#(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 (sin.f64 x) 1)))) (#(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) 2) 2)))) (#(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 (sin.f64 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (.f64 (sin.f64 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 x) (sin.f64 x))))))

simplify1.1s (4.1%)

Algorithm

1×	egg-herbie

Rules

1652×	`rational.json-simplify-35`
1192×	`rational.json-simplify-1`
1146×	`rational.json-simplify-2`
932×	`rational.json-simplify-51`
930×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	3353
1	374	3277
2	854	3223
3	2099	3205
4	4204	3205
5	5767	3205
6	6606	3205
7	7489	3205
8	7940	3205

Stop Event

1×	node limit

Counts

129 → 115

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -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))))
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 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(+.f64 0 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(/.f64 (.f64 eps (.f64 (sin.f64 x) -2)) 2)
(/.f64 (.f64 eps (.f64 (sin.f64 x) -4)) 4)
(/.f64 (.f64 2 (.f64 eps (*.f64 (sin.f64 x) -4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4))) (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4)))) 16)
(neg.f64 (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))) 16)
(-.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 0)
(.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 1/2))
(.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1)
(.f64 1 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))
(.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))
(.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 1/2) 2)
(/.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))) 2)
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))) 16)
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) 1)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(.f64 2 (.f64 (sin.f64 x) 1/2))
(*.f64 1 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 2) 1/2)
(*.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 (sin.f64 x) 1)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (.f64 (sin.f64 x) 4))) 16)
(neg.f64 (neg.f64 (sin.f64 x)))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.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 1/6 (*.f64 eps (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 1/6 (.f64 eps (pow.f64 x 3))) (.f64 eps (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (.f64 eps (+.f64 (neg.f64 x) (.f64 -1/120 (pow.f64 x 5)))))
(.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 3) 1/6)) (+.f64 (.f64 eps (.f64 (pow.f64 x 7) 1/5040)) (.f64 eps (.f64 (pow.f64 x 5) -1/120)))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 eps (.f64 -1/120 (pow.f64 x 5))) (.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 (neg.f64 x) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 eps (+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7))))))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 eps (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 1/4)))
(.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 (pow.f64 eps 2) (.f64 (pow.f64 x 2) 1/4)) (.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 eps 2) (.f64 -1/48 (pow.f64 x 4))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.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 (.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 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 6) 1/1440))) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 4) -1/48))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/48 (pow.f64 x 4))) (+.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 (.f64 -1/48 (pow.f64 x 4)) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2))))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/48 (pow.f64 x 4)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 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 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.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 (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 (.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (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 (.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 (.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 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.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 (.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 (.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 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.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 (.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 (.f64 eps (neg.f64 (sin.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 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 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) 1/4))))
(+.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 (pow.f64 eps 2) (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (*.f64 eps x))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 1/6 (.f64 eps (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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.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 3) -1/6) (+.f64 x (.f64 (pow.f64 x 5) 1/120)))
(+.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 x (.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 7) -1/5040)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 7) -1/5040))))
(+.f64 x (+.f64 (.f64 (pow.f64 x 7) -1/5040) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 0 (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(*.f64 eps (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(/.f64 (.f64 eps (.f64 (sin.f64 x) -2)) 2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(/.f64 (.f64 eps (.f64 (sin.f64 x) -4)) 4)
(*.f64 eps (neg.f64 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 eps (*.f64 (sin.f64 x) -4))) 8)
(*.f64 eps (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4))) (.f64 2 (.f64 eps (.f64 (sin.f64 x) -4)))) 16)
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 0)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) 1)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)) 4)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2))) (.f64 2 (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) -2)))) 16)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 0)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (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 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (cos.f64 x) 1/2))))
(.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (cos.f64 x) (.f64 1/2 (pow.f64 eps 2)))))
(neg.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 1/2))))
(neg.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2))))
(.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (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 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 4) 1/4)
(+.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 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 1/2) 2)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 1)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (.f64 2 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))) 2)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4) 4)
(+.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 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) 4)) 8)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 2 (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))) 16)
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 (neg.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 (.f64 (sin.f64 x) 2) 1/2)
(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 (sin.f64 x) 1)
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(sin.f64 x)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) 8)
(sin.f64 x)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (.f64 (sin.f64 x) 4))) 16)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.1b	(-.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)

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`bool.json-1`
1786×	`bool.json-2`
1346×	`rational.json-simplify-35`
1114×	`bool.json-3`
1110×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	79	11
2	252	11
3	510	11
4	1048	11
5	2312	11
6	4687	11
7	7369	11

Stop Event

1×	node limit

Counts

1 → 23

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 (+.f64 (cos.f64 eps) -1) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))))) (#(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 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) 2) -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) 2) -2))))) (#(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 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(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) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.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 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))))

simplify311.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2206×	`rational.json-simplify-35`
1272×	`rational.json-simplify-2`
1204×	`rational.json-simplify-1`
1002×	`rational.json-simplify-38`
882×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	449
1	133	449
2	283	449
3	771	449
4	1396	449
5	2200	449
6	2614	449
7	2715	449
8	2872	449
9	3065	449
10	3785	449
11	4291	449
12	4941	449
13	5326	449
14	5603	449
15	5836	449
16	6069	449
17	6495	449
18	7161	449

Stop Event

1×	node limit

Counts

27 → 32

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 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (.f64 (cos.f64 eps) 1/2) (-.f64 (.f64 (cos.f64 eps) 1/2) 1))
(*.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) 2) -2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) -2))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.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 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)

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 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (pow.f64 eps 8))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.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 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.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 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) 2) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) -2))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 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) 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) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.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 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2014×	`bool.json-1`
1030×	`bool.json-2`
996×	`rational.json-1`
996×	`rational.json-2`
996×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	113	38
2	315	38
3	675	38
4	1466	38
5	3371	38
6	7563	38

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2) (*.f64 (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 eps))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2) (*.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)) (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (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 1 (+.f64 (*.f64 x (sin.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sin.f64 eps) 1/2)) (*.f64 x (*.f64 (sin.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 eps)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sin.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sin.f64 eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)) (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps)))))))

simplify237.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2686×	`rational.json-simplify-2`
1814×	`rational.json-simplify-1`
1596×	`rational.json-simplify-35`
1114×	`rational.json-simplify-52`
730×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1701
1	255	1689
2	602	1671
3	1331	1647
4	2705	1647
5	3644	1647
6	4215	1647
7	5149	1647
8	5831	1647
9	6430	1647
10	7315	1647
11	7941	1647

Stop Event

1×	node limit

Counts

75 → 83

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 eps))
✓	1.4b	(+.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)))))
✓	2.1b	(+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))
✓	5.8b	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))

Compiler

Compiled 82 to 47 computations (42.7% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`rational.json-simplify-35`
1288×	`bool.json-1`
1288×	`bool.json-2`
1250×	`rational.json-1`
1250×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	107
1	191	107
2	476	107
3	971	107
4	2158	107
5	4692	107

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 (pow.f64 x 2) 1/2)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (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))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.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))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.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))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.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))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.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))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.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))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.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))))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.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))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.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 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.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 (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))))))))))

simplify1.0s (3.9%)

Algorithm

1×	egg-herbie

Rules

2074×	`rational.json-simplify-2`
1960×	`rational.json-simplify-35`
1842×	`rational.json-simplify-1`
982×	`rational.json-simplify-53`
844×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	3918
1	335	3904
2	645	3904
3	1617	3840
4	3300	3832
5	4548	3832
6	4848	3832
7	5372	3832
8	5738	3832
9	6059	3832
10	6348	3832
11	7600	3832

Stop Event

1×	node limit

Counts

100 → 103

Calls

Call 1

Inputs
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2))))
(+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2)))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(+.f64 0 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 (pow.f64 x 2) 1/2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 0)
(/.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) 1)
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)
(/.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4)))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))))) 32)
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)
(.f64 2 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
(*.f64 1/2 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))))
(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 1)
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
(*.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 1/2)
(.f64 4 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))
(.f64 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) 2)
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)
(/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 4)))) 32)
(-.f64 (+.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))))) 0)
(.f64 2 (.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))
(.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (.f64 x (sin.f64 eps))))) 1)
(.f64 1 (+.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 2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 1/2)
(.f64 4 (/.f64 (+.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))))) 4))
(.f64 (.f64 (+.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))))) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 2)
(/.f64 (+.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))))) 1)
(/.f64 (.f64 2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (.f64 x (sin.f64 eps)))))) 2)
(/.f64 (.f64 (+.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))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.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))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.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))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.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))))) 4))) (.f64 2 (.f64 2 (.f64 (+.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))))) 4)))) 32)

Outputs
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 eps 2)))
(.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48)))
(.f64 (pow.f64 x 2) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 1/1440 (.f64 (pow.f64 x 2) (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6))) (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48)) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48)) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 x 2) (pow.f64 eps 6))) (+.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4)))) (.f64 -1/80640 (.f64 (pow.f64 x 2) (pow.f64 eps 8)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (.f64 (pow.f64 x 2) (.f64 -1/48 (pow.f64 eps 4)))) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/80640 (pow.f64 eps 8))) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 1/4 (pow.f64 eps 2))) (+.f64 (+.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48)) (.f64 (pow.f64 x 2) (.f64 1/1440 (pow.f64 eps 6)))) (.f64 (pow.f64 x 2) (.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/1440 (pow.f64 eps 6)) (.f64 -1/80640 (pow.f64 eps 8)))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps))))
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 1/1440 (pow.f64 eps 6)) (.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1 (.f64 eps x))
(.f64 eps (.f64 x -1))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2)))
(+.f64 (.f64 eps (.f64 x -1)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2))))
(+.f64 (.f64 eps (.f64 x -1)) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 (pow.f64 eps 3) (.f64 x 1/6))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 x (*.f64 (pow.f64 eps 3) 1/6))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 eps 3) (*.f64 x 1/6))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 x (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 x (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 -1/48 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/4 (pow.f64 x 2)) 1/2)))))
(+.f64 (.f64 eps (.f64 x -1)) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 (pow.f64 eps 3) (.f64 x 1/6))) (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 (pow.f64 x 2) -1/48)))))
(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 x (.f64 (pow.f64 eps 3) 1/6)))) (.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 eps 3) (.f64 x 1/6))) (.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48)))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 (pow.f64 x 2) -1/48))) (.f64 x (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 1/24 (.f64 (pow.f64 x 2) -1/48))) (.f64 x (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (+.f64 1 (*.f64 (sin.f64 eps) x)))
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(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(.f64 (+.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))))) 1)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.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 (cos.f64 eps) -1/2))) (-.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(.f64 (.f64 2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 1/2)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(.f64 4 (/.f64 (+.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))))) 4))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(.f64 (.f64 (+.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))))) 4) 1/4)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))) 2)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(/.f64 (+.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))))) 1)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(/.f64 (.f64 2 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (.f64 x (sin.f64 eps)))))) 2)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(/.f64 (.f64 (+.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))))) 4) 4)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(/.f64 (.f64 2 (.f64 (+.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))))) 4)) 8)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.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))))) 4))) 16)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.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))))) 4))) (.f64 2 (.f64 2 (.f64 (+.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))))) 4)))) 32)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.1b	(+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))
✓	3.2b	(.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
✓	5.3b	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
	5.8b	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))

Compiler

Compiled 130 to 84 computations (35.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
1.0ms	eps	@	inf	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
0.0ms	x	@	inf	(.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
0.0ms	x	@	0	(.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
0.0ms	eps	@	-inf	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`bool.json-1`
1530×	`bool.json-2`
1482×	`rational.json-1`
1482×	`rational.json-2`
1482×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	106
1	241	106
2	577	106
3	1156	106
4	2603	106
5	5680	106

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (sin.f64 eps) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (sin.f64 eps) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (sin.f64 eps) 4))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (sin.f64 eps) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))))

simplify340.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2068×	`rational.json-simplify-2`
1748×	`rational.json-simplify-1`
1660×	`rational.json-simplify-35`
774×	`rational.json-simplify-42`
622×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	4089
1	257	4009
2	482	3913
3	1032	3487
4	2576	3487
5	3525	3487
6	4056	3487
7	4729	3487
8	5629	3487
9	6030	3487
10	6330	3487
11	6575	3487
12	7414	3487
13	7900	3487

Stop Event

1×	node limit

Counts

71 → 92

Calls

Call 1

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

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

eval339.0ms (1.3%)

Compiler: Compiled 12123 to 7909 computations (34.8% saved)

prune128.0ms (0.5%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	498	11	509
Fresh	1	10	11
Picked	1	0	1
Done	0	5	5
Total	500	26	526

Error

12.9b

Counts

526 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	39.9b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	53.5b	(-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 eps)))) (*.f64 x (sin.f64 eps)))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.9b	(-.f64 (cos.f64 x) (cos.f64 x))
▶	37.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) 1)
▶	48.4b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	38.1b	(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
▶	32.9b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	33.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
	38.0b	(+.f64 (.f64 (cos.f64 eps) 1/2) (-.f64 (.f64 (cos.f64 eps) 1/2) 1))
	47.9b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	36.2b	(+.f64 (.f64 eps (neg.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
✓	32.7b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	51.5b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.8b	(+.f64 (cos.f64 eps) (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) x) (sin.f64 eps))) 1))
✓	39.1b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
✓	39.4b	(+.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)))))
▶	61.7b	(+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
	53.2b	(*.f64 x (neg.f64 (sin.f64 eps)))
▶	53.4b	(*.f64 x (neg.f64 eps))
	38.3b	(*.f64 eps (neg.f64 (sin.f64 x)))
	51.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 704 to 523 computations (25.7% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
✓	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	3.6b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
✓	7.6b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))

Compiler

Compiled 76 to 47 computations (38.2% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`rational.json-simplify-35`
1372×	`bool.json-1`
1372×	`bool.json-2`
1324×	`rational.json-1`
1324×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	203	107
2	515	107
3	1053	107
4	2304	107
5	5048	107

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.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 (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)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.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 (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)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (+.f64 (*.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (+.f64 (*.f64 (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)))))))))

((#(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 2 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.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 (*.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 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/6 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 eps 3)))))))

simplify298.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2486×	`rational.json-simplify-2`
1934×	`rational.json-simplify-35`
1790×	`rational.json-simplify-1`
1040×	`rational.json-simplify-53`
754×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	3899
1	305	3727
2	631	3667
3	1395	3237
4	2699	3237
5	3637	3237
6	4288	3237
7	5097	3237
8	6223	3237
9	6670	3237
10	7021	3237
11	7718	3237
12	7953	3237

Stop Event

1×	node limit

Counts

83 → 82

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`bool.json-1`
1472×	`bool.json-2`
1424×	`rational.json-1`
1424×	`rational.json-2`
1424×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	81	15
2	245	15
3	556	15
4	1225	15
5	2773	15
6	5621	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (cos.f64 eps) 1/2) (*.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps)))) (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))))

simplify257.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1934×	`rational.json-simplify-35`
1656×	`rational.json-simplify-2`
1618×	`rational.json-simplify-51`
1580×	`rational.json-simplify-48`
1352×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	815
1	229	815
2	489	815
3	1053	815
4	1988	815
5	2535	815
6	2829	815
7	3082	815
8	3380	815
9	4083	815
10	5372	815
11	5659	815
12	5885	815
13	6093	815
14	6103	815
15	7518	815

Stop Event

1×	node limit

Counts

41 → 72

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	3.2b	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
0.0ms	eps	@	-inf	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
0.0ms	eps	@	inf	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
0.0ms	eps	@	0	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
0.0ms	x	@	0	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`bool.json-1`
1716×	`bool.json-2`
1666×	`rational.json-1`
1150×	`bool.json-3`
866×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	112	36
2	312	36
3	652	36
4	1346	36
5	3022	36
6	6564	36

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/12)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 x 3) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 x 3) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 x 3) 2/3))) (*.f64 2 (*.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 x 3) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 8)) (*.f64 2 (*.f64 (*.f64 1/6 (pow.f64 x 3)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3)))))))

simplify181.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2380×	`rational.json-simplify-1`
2242×	`rational.json-simplify-2`
1726×	`rational.json-simplify-35`
1028×	`rational.json-simplify-41`
956×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1076
1	177	1076
2	380	1076
3	1049	1028
4	2227	1028
5	4050	1028
6	4332	1028
7	4537	1028
8	5002	1028
9	5897	1028
10	6380	1028

Stop Event

1×	node limit

Counts

44 → 47

Calls

Call 1

Inputs
(.f64 1/6 (.f64 eps (pow.f64 x 3)))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 eps 7) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) 0)
(+.f64 0 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/12)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/12)))
(-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) 0)
(/.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) 1)
(/.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/3)) 2)
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 2/3)) 4)
(/.f64 (.f64 (.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 x 3) 2/3)) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 eps) 2) (.f64 (pow.f64 x 3) 2/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 eps) 2) (.f64 (pow.f64 x 3) 2/3))) (.f64 2 (.f64 (.f64 (sin.f64 eps) 2) (.f64 (pow.f64 x 3) 2/3)))) 32)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(/.f64 (.f64 (.f64 1/6 (pow.f64 x 3)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 1/6 (pow.f64 x 3)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 1/6 (pow.f64 x 3)) 8)) (.f64 2 (.f64 (.f64 1/6 (pow.f64 x 3)) 8))) 32)

Outputs
(.f64 1/6 (.f64 eps (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 eps 1/6))
(.f64 eps (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/36 (pow.f64 eps 3)) (*.f64 1/6 eps)))
(.f64 (pow.f64 x 3) (+.f64 (.f64 1/6 eps) (*.f64 -1/36 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 1/720 (.f64 (pow.f64 x 3) (pow.f64 eps 5)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (+.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 eps 5) 1/720)) (.f64 (pow.f64 x 3) (.f64 eps 1/6))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (.f64 1/720 (.f64 (pow.f64 x 3) (pow.f64 eps 5)))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/720 (pow.f64 eps 5)) (*.f64 -1/36 (pow.f64 eps 3)))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/720 (pow.f64 eps 5)) (*.f64 -1/36 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 eps 7) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 1/720 (.f64 (pow.f64 x 3) (pow.f64 eps 5)))) (.f64 -1/30240 (.f64 (pow.f64 x 3) (pow.f64 eps 7)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 eps 5) 1/720)) (+.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3)))) (.f64 (pow.f64 x 3) (.f64 (pow.f64 eps 7) -1/30240))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x 3) (pow.f64 eps 5))) (.f64 -1/30240 (.f64 (pow.f64 x 3) (pow.f64 eps 7))))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/720 (pow.f64 eps 5)) (.f64 1/6 eps))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/30240 (pow.f64 eps 7)) (.f64 -1/36 (pow.f64 eps 3)))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/6 eps) (.f64 1/720 (pow.f64 eps 5)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/30240 (pow.f64 eps 7)) (.f64 -1/36 (pow.f64 eps 3)))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/6 eps) (.f64 -1/36 (pow.f64 eps 3)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/30240 (pow.f64 eps 7)) (.f64 1/720 (pow.f64 eps 5)))))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) 0)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/12)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/12)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) 0)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) 1)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/3)) 2)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 2/3)) 4)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 x 3) 2/3)) 8)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 eps) 2) (.f64 (pow.f64 x 3) 2/3))) 16)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 eps) 2) (.f64 (pow.f64 x 3) 2/3))) (.f64 2 (.f64 (.f64 (sin.f64 eps) 2) (.f64 (pow.f64 x 3) 2/3)))) 32)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 (.f64 1/6 (pow.f64 x 3)) 8) 8)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (*.f64 1/6 (pow.f64 x 3)) 8)) 16)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 1/6 (pow.f64 x 3)) 8)) (.f64 2 (.f64 (.f64 1/6 (pow.f64 x 3)) 8))) 32)
(*.f64 1/6 (pow.f64 x 3))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/6 (.f64 eps (pow.f64 x 3)))
✓	3.2b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
✓	6.6b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 1/6 (*.f64 eps (pow.f64 x 3))))
✓	7.4b	(*.f64 eps (pow.f64 x 3))

Compiler

Compiled 79 to 46 computations (41.8% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

24 calls:

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

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`rational.json-simplify-35`
1382×	`bool.json-1`
1382×	`bool.json-2`
1334×	`rational.json-1`
1334×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	201	118
2	500	118
3	1068	118
4	2354	118
5	5144	118

Stop Event

1×	node limit

Counts

4 → 54

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/2)) (.f64 (pow.f64 x 3) (.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 eps (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) (+.f64 eps eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (.f64 (pow.f64 x 3) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 eps (.f64 (pow.f64 x 3) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 (pow.f64 x 3) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 (pow.f64 x 3) 4)))) (.f64 2 (.f64 2 (.f64 eps (.f64 (pow.f64 x 3) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 eps (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 eps (pow.f64 x 3)) (.f64 eps (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 eps (pow.f64 x 3)) (*.f64 eps (pow.f64 x 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)) (.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 eps eps) (/.f64 (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)) (.f64 eps 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))) (+.f64 (.f64 eps (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/12)) (.f64 eps (.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 eps (pow.f64 x 3)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 eps (pow.f64 x 3)) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 3)) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 3)) 2/3))) (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 3)) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 eps (.f64 (pow.f64 x 3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (.f64 eps (.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (.f64 eps (*.f64 (pow.f64 x 3) 1/6)))))))

simplify312.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2538×	`rational.json-simplify-2`
1762×	`rational.json-simplify-35`
1650×	`rational.json-simplify-1`
1074×	`rational.json-simplify-51`
818×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	3494
1	345	3456
2	761	3450
3	1966	3450
4	4257	3450
5	4661	3450
6	5046	3450
7	5319	3450
8	5509	3450
9	5716	3450
10	6868	3450
11	7107	3450
12	7812	3450

Stop Event

1×	node limit

Counts

102 → 94

Calls

Call 1

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

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

eval284.0ms (1.1%)

Compiler: Compiled 6704 to 4545 computations (32.2% saved)

prune166.0ms (0.6%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	5	11	16
Picked	0	1	1
Done	2	7	9
Total	323	22	345

Error

12.3b

Counts

345 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) (cos.f64 x))
	39.9b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) 1)
▶	54.9b	(-.f64 1 (cos.f64 x))
✓	48.4b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	37.9b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
▶	32.9b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
	33.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
▶	38.0b	(+.f64 (.f64 (cos.f64 eps) 1/2) (-.f64 (.f64 (cos.f64 eps) 1/2) 1))
▶	47.9b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
▶	36.2b	(+.f64 (.f64 eps (neg.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
✓	32.7b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	51.5b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	39.8b	(+.f64 (cos.f64 eps) (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) x) (sin.f64 eps))) 1))
✓	39.1b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
✓	39.4b	(+.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)))))
✓	53.4b	(*.f64 x (neg.f64 eps))
	38.3b	(*.f64 eps (neg.f64 (sin.f64 x)))
	51.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 542 to 409 computations (24.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	3.6b	(.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
✓	7.6b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`bool.json-1`
1462×	`bool.json-2`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	189	86
2	477	86
3	985	86
4	2114	86
5	4897	86

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4))) (*.f64 2 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (sin.f64 x) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.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)))))))

simplify301.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-2`
1574×	`rational.json-simplify-35`
1082×	`rational.json-simplify-26`
964×	`rational.json-simplify-1`
918×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	3314
1	230	3170
2	456	3110
3	942	2936
4	2200	2936
5	3055	2936
6	3503	2936
7	4030	2936
8	5226	2936
9	5787	2936
10	6109	2936
11	6373	2936
12	6886	2936
13	7377	2936

Stop Event

1×	node limit

Counts

66 → 77

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.3b	(-.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))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`rational.json-simplify-35`
1346×	`bool.json-1`
1346×	`bool.json-2`
1288×	`rational.json-1`
1288×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	77	11
2	243	11
3	510	11
4	1036	11
5	2259	11
6	4901	11

Stop Event

1×	node limit

Counts

1 → 35

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 -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 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 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 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 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)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) -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 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) 2)))) (#(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 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))

simplify326.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2202×	`rational.json-simplify-35`
1974×	`rational.json-simplify-52`
1626×	`rational.json-simplify-1`
1552×	`rational.json-simplify-2`
1032×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	545
1	201	545
2	444	545
3	1056	545
4	2064	545
5	2659	545
6	2907	545
7	3057	545
8	3237	545
9	3461	545
10	3915	545
11	5291	545
12	6329	545
13	6699	545
14	6895	545
15	7123	545
16	7143	545
17	7153	545

Stop Event

1×	node limit

Counts

39 → 43

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.5b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`bool.json-1`
1692×	`bool.json-2`
1634×	`rational.json-1`
1096×	`bool.json-3`
950×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	120	29
2	306	29
3	625	29
4	1342	29
5	3071	29
6	6455	29

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (*.f64 x (+.f64 eps eps)) (pow.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 (pow.f64 eps 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 x eps) (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 x (neg.f64 eps)) (*.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 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 eps (*.f64 x -2)) (neg.f64 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x eps) (*.f64 (pow.f64 eps 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))))))))

simplify665.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3220×	`rational.json-simplify-48`
2682×	`rational.json-simplify-1`
1958×	`rational.json-simplify-35`
1650×	`rational.json-simplify-2`
1064×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	1388
1	139	1306
2	312	1306
3	703	1306
4	1114	1306
5	2486	1306
6	3339	1306
7	3496	1306
8	3687	1306
9	4063	1306
10	4402	1306
11	4548	1306
12	4652	1306
13	4726	1306
14	4777	1306
15	4824	1306
16	4871	1306
17	4918	1306
18	4965	1306
19	5781	1306
20	6183	1306
21	6252	1306
22	6796	1306
23	6892	1306
24	6980	1306
25	7069	1306
26	7249	1306
27	7788	1306

Stop Event

1×	node limit

Counts

48 → 35

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.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
0.0ms	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)

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`bool.json-1`
1494×	`bool.json-2`
1428×	`rational.json-1`
1428×	`rational.json-2`
1428×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	108	50
2	308	28
3	612	28
4	1245	28
5	2834	28
6	5887	28

Stop Event

1×	node limit

Counts

2 → 42

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 (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 1/2 (*.f64 (+.f64 (cos.f64 eps) -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 1/2 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) (*.f64 (cos.f64 eps) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 eps) 1/4) (/.f64 (+.f64 (cos.f64 eps) -2) 4)))))) (#(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 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) (*.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) 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 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)) (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) 1/2) -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 0 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (cos.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) (/.f64 (+.f64 (cos.f64 eps) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (cos.f64 eps) -2))))) (#(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 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))) (#(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 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)) (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/2 (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))))))

simplify315.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2332×	`rational.json-simplify-51`
2164×	`rational.json-simplify-35`
1578×	`rational.json-simplify-1`
1278×	`rational.json-simplify-49`
932×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1084
1	210	1084
2	455	1084
3	987	1084
4	1724	1084
5	2285	1084
6	2461	1084
7	2646	1084
8	2867	1084
9	3156	1084
10	3369	1084
11	3739	1084
12	3867	1084
13	3968	1084
14	4065	1084
15	4284	1084
16	4383	1084
17	5066	1084
18	5456	1084
19	6693	1084

Stop Event

1×	node limit

Counts

66 → 64

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 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(.f64 2 (.f64 1/2 (+.f64 (cos.f64 eps) -1)))
(.f64 2 (+.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) (.f64 (cos.f64 eps) 1/4)))
(.f64 2 (+.f64 (.f64 (cos.f64 eps) 1/4) (/.f64 (+.f64 (cos.f64 eps) -2) 4)))
(*.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 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 1/4 (+.f64 (.f64 2 (+.f64 (cos.f64 eps) -2)) (*.f64 (cos.f64 eps) 2)))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -1)) 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 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(+.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(+.f64 0 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(+.f64 -1 (*.f64 (cos.f64 eps) 1/2))
(+.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(.f64 1 (.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(.f64 (.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.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 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4)) (.f64 2 (.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
✓	0.1b	(*.f64 eps (neg.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))
✓	0.3b	(-.f64 1 (neg.f64 (sin.f64 x)))
✓	3.3b	(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))

Compiler

Compiled 79 to 47 computations (40.5% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`bool.json-1`
1266×	`bool.json-2`
1224×	`rational.json-1`
1224×	`rational.json-2`
1224×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	142	55
2	395	49
3	873	31
4	1988	31
5	4352	31

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (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 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 -2 (+.f64 -2 (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 (+.f64 (sin.f64 x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(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 (neg.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 (*.f64 (sin.f64 x) -2) -2)))) (#(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 (sin.f64 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (neg.f64 x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 x) (sin.f64 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 1 (+.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (sin.f64 x)) 1/2) (*.f64 (+.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (sin.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (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 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (*.f64 (sin.f64 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (*.f64 (sin.f64 x) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 x)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 x) -2))) (neg.f64 (+.f64 -2 (*.f64 (sin.f64 x) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (sin.f64 x)) (+.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (sin.f64 x)) (+.f64 1 (sin.f64 x)))))))

((#(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) (neg.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (*.f64 (sin.f64 x) -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 eps (*.f64 (sin.f64 x) -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 eps (*.f64 (sin.f64 x) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 eps (*.f64 (sin.f64 x) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 eps (*.f64 (sin.f64 x) -4)))) (*.f64 2 (*.f64 2 (*.f64 eps (*.f64 (sin.f64 x) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))))))

simplify230.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2616×	`rational.json-simplify-2`
1740×	`rational.json-simplify-35`
1026×	`rational.json-simplify-51`
894×	`rational.json-simplify-1`
624×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	1640
1	393	1640
2	1053	1616
3	2421	1610
4	4457	1610
5	5504	1610
6	5906	1610
7	6221	1610
8	6626	1610
9	6999	1610

Stop Event

1×	node limit

Counts

130 → 128

Calls

Call 1

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

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

eval135.0ms (0.5%)

Compiler: Compiled 7903 to 5525 computations (30.1% saved)

prune80.0ms (0.3%)

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	401	5	406
Fresh	0	9	9
Picked	1	0	1
Done	0	12	12
Total	402	26	428

Error

12.3b

Counts

428 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) (cos.f64 x))
	39.9b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
	39.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.9b	(-.f64 (cos.f64 eps) 1)
✓	54.9b	(-.f64 1 (cos.f64 x))
✓	48.4b	(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	37.9b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
	50.6b	(+.f64 (+.f64 -1 (-.f64 1 (.f64 (sin.f64 x) eps))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
✓	32.9b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
	33.2b	(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
✓	38.0b	(+.f64 (.f64 (cos.f64 eps) 1/2) (-.f64 (.f64 (cos.f64 eps) 1/2) 1))
	52.1b	(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
✓	47.9b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	36.6b	(+.f64 (.f64 eps (neg.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))) (.f64 -1/2 (pow.f64 eps 2)))
✓	32.7b	(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	51.5b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	54.8b	(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
	39.8b	(+.f64 (cos.f64 eps) (-.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) x) (sin.f64 eps))) 1))
✓	39.1b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
✓	39.4b	(+.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)))))
	54.8b	(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
✓	53.4b	(*.f64 x (neg.f64 eps))
	38.3b	(*.f64 eps (neg.f64 (sin.f64 x)))
	51.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 364 to 278 computations (23.6% saved)

regimes242.0ms (0.9%)

Counts

36 → 3

Calls

Call 1

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

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:

120.0ms	x
89.0ms	eps
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.3b	3	`x`
14.0b	3	`eps`
15.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 493 to 285 computations (42.2% saved)

bsearch78.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	4.513148595619445e-5	1749.836678881256
42.0ms	-754958793.0621052	-3.920257594503271e-19

Results

29.0ms	196×	body	256	valid
28.0ms	73×	body	1024	valid
11.0ms	44×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 754 to 590 computations (21.8% saved)

regimes246.0ms (0.9%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

120.0ms	x
98.0ms	eps
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.0b	3	`x`
14.1b	3	`eps`
15.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 383 to 218 computations (43.1% saved)

bsearch159.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	4.513148595619445e-5	1749.836678881256
124.0ms	-754958793.0621052	-3.920257594503271e-19

Results

115.0ms	85×	body	1024	valid
26.0ms	194×	body	256	valid
9.0ms	36×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 614 to 470 computations (23.5% saved)

regimes267.0ms (1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

145.0ms	eps
79.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
36.0ms	x

Results

Error	Segments	Branch
22.1b	3	`x`
14.1b	3	`eps`
15.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 278 to 158 computations (43.2% saved)

bsearch76.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	4.513148595619445e-5	1749.836678881256
43.0ms	-754958793.0621052	-3.920257594503271e-19

Results

30.0ms	79×	body	1024	valid
28.0ms	199×	body	256	valid
9.0ms	35×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 514 to 390 computations (24.1% saved)

regimes171.0ms (0.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

103.0ms	eps
40.0ms	x
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.2b	4	`x`
17.9b	3	`eps`
19.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 192 to 108 computations (43.8% saved)

bsearch87.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	4.513148595619445e-5	1749.836678881256
49.0ms	-754958793.0621052	-3.920257594503271e-19

Results

39.0ms	203×	body	256	valid
32.0ms	79×	body	1024	valid
8.0ms	33×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 554 to 450 computations (18.8% saved)

regimes103.0ms (0.4%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	eps
35.0ms	x
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.2b	4	`x`
18.8b	5	`eps`
21.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 143 to 85 computations (40.6% saved)

bsearch159.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	1.459537378429275e-8	2.868486538182882e-6
32.0ms	2.073701024115687e-21	1.0717334520467274e-18
57.0ms	2.5489028564985417e-157	2.882987161529847e-156
42.0ms	-754958793.0621052	-3.920257594503271e-19

Results

61.0ms	149×	body	1024	valid
42.0ms	64×	body	2048	valid
37.0ms	250×	body	256	valid
12.0ms	49×	body	512	valid

Compiler

Compiled 596 to 450 computations (24.5% saved)

regimes55.0ms (0.2%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	eps
24.0ms	x

Results

Error	Segments	Branch
22.3b	4	`x`
19.3b	5	`eps`

Compiler

Compiled 66 to 44 computations (33.3% saved)

bsearch272.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	1.459537378429275e-8	2.868486538182882e-6
33.0ms	2.073701024115687e-21	1.0717334520467274e-18
167.0ms	2.5489028564985417e-157	2.882987161529847e-156
43.0ms	-754958793.0621052	-3.920257594503271e-19

Results

154.0ms	61×	body	2048	valid
63.0ms	152×	body	1024	valid
32.0ms	234×	body	256	valid
16.0ms	65×	body	512	valid

Compiler

Compiled 578 to 450 computations (22.1% saved)

regimes187.0ms (0.7%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

125.0ms	x
26.0ms	eps

Results

Error	Segments	Branch
23.6b	3	`x`
19.5b	5	`eps`

Compiler

Compiled 56 to 39 computations (30.4% saved)

bsearch162.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.459537378429275e-8	2.868486538182882e-6
43.0ms	2.0381875899934187e-49	4.894550944123082e-46
43.0ms	2.9665660093841337e-80	9.126781191687508e-79
45.0ms	-754958793.0621052	-3.920257594503271e-19

Results

79.0ms	190×	body	1024	valid
36.0ms	139×	body	512	valid
24.0ms	172×	body	256	valid
17.0ms	27×	body	2048	valid

Compiler

Compiled 524 to 421 computations (19.7% saved)

regimes28.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
12.0ms	eps

Results

Error	Segments	Branch
36.8b	3	`x`
32.9b	3	`eps`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch78.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	4.513148595619445e-5	1749.836678881256
44.0ms	-754958793.0621052	-3.920257594503271e-19

Results

29.0ms	75×	body	1024	valid
28.0ms	197×	body	256	valid
12.0ms	41×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 314 to 270 computations (14% saved)

regimes59.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	x
10.0ms	eps

Results

Error	Segments	Branch
36.8b	3	`x`
35.3b	3	`eps`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch162.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
128.0ms	2.0797916994609112e-27	2.073701024115687e-21
34.0ms	-5.05513749203389e-58	-3.4726270247537102e-59

Results

115.0ms	83×	body	512	valid
22.0ms	58×	body	1024	valid
12.0ms	86×	body	256	valid
8.0ms	13×	body	2048	valid

Compiler

Compiled 224 to 175 computations (21.9% saved)

regimes7.0ms (0%)

Accuracy

Total -3.5b remaining (-6.6%)

Threshold costs -3.5b (-6.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
53.4b	1	`x`
53.4b	1	`eps`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	878

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -5404319552844595/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1170935903116329/9007199254740992) (+.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 -1152921504606847/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6052837899185947/576460752303423488) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3242591731706757/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/576460752303423488) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7932099951695107/4611686018427387904) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.f64 (.f64 eps (neg.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -6375194751874021/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 2076918743413931/20769187434139310514121985316880384) (+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 7177997053961861/37778931862957161709568) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -5460236245818027/295147905179352825856) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1980575480546345/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 6114448780610613/2658455991569831745807614120560689152) (+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4722366482869645/2361183241434822606848) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -3246626956972881/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3170605756445101/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 6318737500113431/26328072917139296674479506920917608079723773850137277813577744384) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (*.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5718490662849961/36893488147419103232) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 631383297997835/332306998946228968225951765070086144) (*.f64 x (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(*.f64 x (neg.f64 eps))

Outputs
(if (<=.f64 eps -5404319552844595/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1170935903116329/9007199254740992) (+.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 -1152921504606847/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6052837899185947/576460752303423488) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3242591731706757/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/576460752303423488) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7932099951695107/4611686018427387904) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.f64 (.f64 eps (neg.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))))) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -6375194751874021/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 2076918743413931/20769187434139310514121985316880384) (+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 7177997053961861/37778931862957161709568) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -5460236245818027/295147905179352825856) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1980575480546345/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 6114448780610613/2658455991569831745807614120560689152) (+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4722366482869645/2361183241434822606848) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -3246626956972881/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3170605756445101/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 6318737500113431/26328072917139296674479506920917608079723773850137277813577744384) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (*.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5718490662849961/36893488147419103232) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 631383297997835/332306998946228968225951765070086144) (*.f64 x (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(*.f64 x (neg.f64 eps))

Compiler

Compiled 341 to 216 computations (36.7% saved)

soundness208.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1330×	`rational.json-simplify-2`
1198×	`rational.json-simplify-48`
1156×	`rational.json-simplify-1`
816×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2303
1	336	2245
2	785	2245
3	1760	2177
4	3377	2177
5	4436	2177
6	5201	2177
7	6229	2177
8	6787	2177
9	7244	2177
10	7550	2177

Stop Event

1×	node limit

Compiler

Compiled 134 to 85 computations (36.6% saved)

end365.0ms (1.4%)

Compiler: Compiled 323 to 162 computations (49.8% saved)