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)

sample3.7s (41.1%)

Results

1.7s	4035×	body	1024	valid
1.5s	2049×	body	2048	valid
344.0ms	1381×	body	512	valid
113.0ms	786×	body	256	valid
6.0ms	5×	body	4096	valid

Bogosity

preprocess7.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

76×	`rational.json-simplify-27`
60×	`rational.json-simplify-41`
52×	`rational.json-simplify-9`
48×	`rational.json-simplify-31`
46×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	24	42
2	36	42
3	54	42
4	80	42
5	107	42
6	140	42
7	175	42
8	205	42
9	213	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`rational.json-simplify-27`
30×	`rational.json-simplify-9`
30×	`rational.json-simplify-41`
28×	`rational.json-simplify-31`
28×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	21
2	21	21
3	31	21
4	46	21
5	61	21
6	80	21
7	99	21
8	116	21
9	120	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	2.8b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`bool.json-1`
40×	`rational.json-simplify-2`
36×	`rational.json-1`
36×	`rational.json-2`
34×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	45	32
2	93	32
3	133	32
4	149	32
5	154	32

Stop Event

1×

saturated

Counts

2 → 18

Calls

Call 1

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

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

simplify274.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2294×	`rational.json-simplify-27`
1774×	`rational.json-simplify-41`
1304×	`rational.json-simplify-31`
1250×	`rational.json-simplify-40`
1222×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1678
1	205	1670
2	378	1604
3	709	1604
4	1265	1604
5	2215	1604
6	3195	1604
7	3829	1604
8	4142	1604
9	4344	1604
10	4555	1604
11	4763	1604
12	4969	1604
13	5512	1604
14	5644	1604
15	5705	1604
16	5770	1604
17	5837	1604
18	5899	1604
19	5961	1604
20	6027	1604
21	6348	1604
22	6594	1604
23	6776	1604
24	7116	1604
25	7193	1604
26	7195	1604

Stop Event

1×

saturated

Counts

66 → 89

Calls

Call 1

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

eval23.0ms (0.3%)

Compiler: Compiled 1546 to 782 computations (49.4% saved)

prune30.0ms (0.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	71	18	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Error

13.6b

Counts

90 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	55.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x))
	43.2b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
▶	43.2b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	42.7b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 x))
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	41.1b	(-.f64 (cos.f64 eps) 1)
	30.3b	(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
▶	30.1b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))))
▶	29.9b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	38.9b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 eps) -1))))
	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
	42.9b	(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))
	43.1b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (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 1/6 (pow.f64 x 3)))))))
	42.5b	(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (neg.f64 x))))
▶	42.5b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
	35.1b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 672 to 484 computations (28% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.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 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 46 to 23 computations (50% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite9.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`rational.json-simplify-2`
58×	`bool.json-1`
48×	`rational.json-1`
48×	`rational.json-2`
42×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	72	81
2	124	81
3	152	81
4	176	81
5	180	81
6	185	81
7	194	81
8	211	81

Stop Event

1×

saturated

Counts

3 → 6

Calls

Call 1

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

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

Outputs

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

160×	`rational.json-simplify-1`
108×	`rational.json-simplify-2`
94×	`rational.json-simplify-33`
36×	`rational.json-simplify-31`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	2444
1	153	2354
2	227	2354
3	283	2354
4	305	2354
5	307	2354

Stop Event

1×

saturated

Counts

78 → 47

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.7b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite6.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`bool.json-1`
30×	`rational.json-simplify-2`
26×	`rational.json-1`
26×	`rational.json-2`
24×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	37	11
2	69	11
3	94	11
4	118	11
5	132	11

Stop Event

1×

saturated

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

74×	`rational.json-simplify-1`
50×	`rational.json-simplify-33`
28×	`rational.json-simplify-2`
28×	`rational.json-simplify-27`
24×	`rational.json-simplify-40`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	259
1	59	259
2	82	259
3	121	259
4	181	259
5	217	259
6	220	259
7	221	259

Stop Event

1×

saturated

Counts

13 → 15

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	2.0b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

62×	`rational.json-simplify-2`
52×	`rational.json-simplify-1`
52×	`bool.json-1`
46×	`rational.json-1`
46×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	58	46
2	103	46
3	131	46
4	156	46
5	166	46
6	172	46
7	182	46
8	197	46

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

206×	`rational.json-simplify-2`
194×	`rational.json-simplify-31`
170×	`rational.json-simplify-1`
96×	`rational.json-simplify-33`
90×	`rational.json-simplify-27`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	1422
1	117	1324
2	186	1324
3	262	1324
4	337	1324
5	395	1324
6	450	1324
7	530	1324
8	564	1324
9	583	1324
10	594	1324
11	625	1324
12	654	1324

Stop Event

1×

saturated

Counts

52 → 47

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
✓	0.0b	(.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))
	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	1.4b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))

Compiler

Compiled 80 to 46 computations (42.5% saved)

series5.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite17.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

132×	`bool.json-1`
128×	`rational.json-simplify-2`
122×	`rational.json-1`
122×	`rational.json-2`
96×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	137
1	90	137
2	163	137
3	256	137
4	389	137
5	493	129
6	518	129
7	559	129
8	578	129

Stop Event

1×

saturated

Counts

3 → 27

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1678×	`rational.json-simplify-1`
1632×	`rational.json-simplify-27`
1508×	`rational.json-simplify-29`
1208×	`rational.json-simplify-33`
1186×	`rational.json-simplify-34`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	115	4555
1	264	4183
2	595	4057
3	1494	4045
4	3627	4045
5	3933	4045
6	4243	4045
7	4557	4045
8	4596	4045
9	4597	4025
10	7759	4017

Stop Event

1×	node limit

Counts

91 → 118

Calls

Call 1

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

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	0.4b	(*.f64 1/6 (sin.f64 x))
✓	2.2b	(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
✓	5.1b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))

Compiler

Compiled 89 to 51 computations (42.7% saved)

series6.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

66×	`rational.json-simplify-2`
56×	`bool.json-1`
44×	`rational.json-1`
44×	`rational.json-2`
42×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	85	85
2	139	85
3	163	85
4	172	85

Stop Event

1×

saturated

Counts

3 → 6

Calls

Call 1

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

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

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

164×	`rational.json-simplify-1`
98×	`rational.json-simplify-33`
94×	`rational.json-simplify-2`
38×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	2208
1	136	2208
2	202	2208
3	261	2208
4	290	2208
5	292	2208

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

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

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

eval158.0ms (1.8%)

Compiler: Compiled 7239 to 4488 computations (38% saved)

prune70.0ms (0.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	296	12	308
Fresh	4	9	13
Picked	0	1	1
Done	2	2	4
Total	302	24	326

Error

13.6b

Counts

326 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	55.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x))
	43.2b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	43.2b	(-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
▶	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
▶	43.9b	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 -1/24 (pow.f64 x 4))))
	30.3b	(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
✓	30.1b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))))
✓	29.9b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
	30.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	38.9b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 eps) -1))))
▶	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
	46.8b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	51.8b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	42.5b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	42.9b	(+.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)))))
	43.1b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (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 1/6 (pow.f64 x 3)))))))
	42.5b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	35.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
	51.6b	(*.f64 (sin.f64 eps) (neg.f64 x))
▶	51.9b	(*.f64 eps (neg.f64 x))
	51.3b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 773 to 563 computations (27.2% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	0.1b	(*.f64 1/6 (pow.f64 eps 3))
✓	2.2b	(.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))
✓	5.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))

Compiler

Compiled 88 to 50 computations (43.2% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite16.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

182×	`rational.json-simplify-2`
152×	`rational.json-simplify-31`
114×	`bool.json-1`
98×	`rational.json-1`
98×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	103	107
2	177	107
3	224	107
4	259	107
5	263	107
6	268	107
7	277	107
8	287	107
9	300	107
10	352	107
11	411	107
12	453	107

Stop Event

1×

saturated

Counts

3 → 6

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

134×	`rational.json-simplify-1`
104×	`rational.json-simplify-2`
82×	`rational.json-simplify-33`
32×	`rational.json-simplify-31`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	2454
1	162	2422
2	224	2422
3	265	2422
4	286	2422
5	287	2422

Stop Event

1×

saturated

Counts

54 → 41

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(-.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	x	@	inf	(-.f64 (cos.f64 eps) (cos.f64 x))
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))

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`bool.json-1`
38×	`rational.json-simplify-2`
34×	`rational.json-1`
34×	`rational.json-2`
30×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	40	15
2	86	15
3	126	15
4	142	15
5	147	15

Stop Event

1×

saturated

Counts

1 → 9

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

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational.json-simplify-27`
1282×	`rational.json-simplify-29`
1076×	`rational.json-simplify-1`
1074×	`rational.json-simplify-33`
934×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	451
1	119	451
2	243	451
3	630	451
4	1552	451
5	3340	451
6	4023	451
7	4271	451
8	4545	451
9	4650	451
10	4668	451
11	6099	451
12	6187	451
13	6189	451
14	6281	451
15	6361	451
16	6362	451
17	6362	451

Stop Event

1×

saturated

Counts

17 → 46

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (sin.f64 eps))
✓	1.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite16.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

104×	`bool.json-1`
98×	`rational.json-1`
98×	`rational.json-2`
90×	`rational.json-simplify-2`
72×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	59	42
2	144	42
3	253	42
4	338	42
5	397	42
6	406	42
7	426	42

Stop Event

1×

saturated

Counts

2 → 18

Calls

Call 1

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

Outputs

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

((#(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 (*.f64 x (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps)))))))

simplify318.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2022×	`rational.json-simplify-27`
1466×	`rational.json-simplify-1`
1426×	`rational.json-simplify-40`
1352×	`rational.json-simplify-33`
1258×	`rational.json-simplify-41`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	99	1538
1	224	1530
2	446	1530
3	1079	1530
4	2460	1530
5	3730	1512
6	4568	1512
7	5005	1512
8	5213	1512
9	5304	1512
10	5328	1512
11	5374	1512
12	5374	1512
13	5603	1512
14	5675	1512
15	5678	1512
16	5678	1512
17	6621	1512
18	7138	1512
19	7138	1512
20	7139	1512
21	7163	1512
22	7212	1512
23	7296	1512
24	7381	1512

Stop Event

1×

saturated

Counts

58 → 84

Calls

Call 1

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

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

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
✓	2.7b	(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
✓	7.8b	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 -1/24 (pow.f64 x 4))))
✓	8.5b	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))

Compiler

Compiled 105 to 61 computations (41.9% saved)

series5.0ms (0.1%)

Counts

4 → 68

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 -1/24 (pow.f64 x 4))))
1.0ms	x	@	0	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
1.0ms	eps	@	-inf	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
0.0ms	eps	@	inf	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
0.0ms	eps	@	0	(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`rational.json-simplify-1`
246×	`rational.json-simplify-33`
204×	`bool.json-1`
188×	`rational.json-1`
188×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	152
1	114	152
2	194	152
3	298	152
4	506	152
5	707	152
6	746	152
7	758	152

Stop Event

1×

saturated

Counts

4 → 8

Calls

Call 1

Inputs
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 (cos.f64 eps) (-.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 -1/2 (cos.f64 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.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)))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.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 -1/24 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (-.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 -1/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (-.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 -1/24 (pow.f64 x 4))))) (+.f64 (-.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 -1/24 (pow.f64 x 4))))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))))
((#(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 or (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))))))))

simplify295.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-27`
1044×	`rational.json-simplify-1`
830×	`rational.json-simplify-41`
786×	`rational.json-simplify-31`
762×	`rational.json-simplify-40`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	3424
1	256	3212
2	453	3212
3	831	3212
4	1575	3204
5	2989	3204
6	3629	3204
7	4000	3204
8	4309	3204
9	4476	3204
10	4523	3204
11	4523	3204
12	4606	3204
13	4656	3204
14	4727	3204

Stop Event

1×

saturated

Counts

76 → 97

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

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

eval111.0ms (1.2%)

Compiler: Compiled 6479 to 4154 computations (35.9% saved)

prune117.0ms (1.3%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	281	3	284
Fresh	2	14	16
Picked	0	1	1
Done	0	7	7
Total	283	25	308

Error

13.2b

Counts

308 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	55.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x))
▶	43.2b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	43.2b	(-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
✓	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
▶	54.9b	(-.f64 1 (cos.f64 x))
	42.9b	(+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
✓	43.9b	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 -1/24 (pow.f64 x 4))))
	30.3b	(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
✓	30.1b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))))
✓	29.9b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
▶	30.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	38.9b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 eps) -1))))
✓	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
	46.8b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	51.8b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	42.5b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	43.1b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (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 1/6 (pow.f64 x 3)))))))
▶	43.3b	(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 -1 (.f64 x (sin.f64 eps)))))
▶	42.5b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	35.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	51.9b	(*.f64 eps (neg.f64 x))
	51.3b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 727 to 533 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

58×	`rational.json-simplify-2`
48×	`bool.json-1`
38×	`rational.json-1`
38×	`rational.json-2`
34×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	61	46
2	102	46
3	121	46
4	141	46
5	145	46
6	150	46
7	159	46
8	172	46

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

58×	`rational.json-simplify-1`
50×	`rational.json-simplify-2`
30×	`rational.json-simplify-33`
16×	`rational.json-simplify-31`
2×	`rational.json-simplify-9`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	932
1	72	890
2	100	890
3	120	890
4	126	890
5	127	890

Stop Event

1×

saturated

Counts

28 → 23

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(-.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))

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`rational.json-simplify-2`
32×	`bool.json-1`
26×	`rational.json-1`
26×	`rational.json-2`
22×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	35	11
2	72	11
3	100	11
4	124	11
5	134	11

Stop Event

1×

saturated

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

68×	`rational.json-simplify-1`
44×	`rational.json-simplify-33`
32×	`rational.json-simplify-2`
26×	`rational.json-simplify-27`
20×	`rational.json-simplify-40`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	259
1	60	259
2	83	259
3	117	259
4	174	259
5	201	259
6	206	259
7	208	259
8	209	259

Stop Event

1×

saturated

Counts

13 → 15

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 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) -1)
(*.f64 -1 (+.f64 -1 (cos.f64 x)))
(neg.f64 (+.f64 -1 (cos.f64 x)))

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 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.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 (neg.f64 (cos.f64 x)) 1)
(-.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 (+.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 eps))
✓	2.0b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))

Compiler

Compiled 29 to 9 computations (69% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite10.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

70×	`rational.json-simplify-2`
68×	`rational.json-simplify-1`
66×	`bool.json-1`
60×	`rational.json-1`
60×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	54	27
2	105	27
3	152	27
4	187	27
5	225	27
6	243	27
7	266	27

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

180×	`rational.json-simplify-31`
162×	`rational.json-simplify-2`
128×	`rational.json-simplify-1`
100×	`rational.json-simplify-27`
68×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	784
1	91	780
2	150	780
3	223	780
4	287	780
5	341	780
6	403	780
7	467	780
8	493	780
9	509	780
10	526	780
11	552	780
12	555	780

Stop Event

1×

saturated

Counts

28 → 22

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

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 eps))
✓	1.7b	(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 -1 (.f64 x (sin.f64 eps)))))

Compiler

Compiled 56 to 31 computations (44.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite11.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

110×	`rational.json-simplify-1`
96×	`bool.json-1`
86×	`rational.json-1`
86×	`rational.json-2`
82×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	78	45
2	142	45
3	201	45
4	282	45
5	335	45
6	343	45
7	355	45

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

348×	`rational.json-simplify-27`
320×	`rational.json-simplify-1`
320×	`rational.json-simplify-29`
266×	`rational.json-simplify-2`
254×	`rational.json-simplify-33`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	1026
1	104	1016
2	192	1016
3	320	1016
4	550	1008
5	931	1008
6	1223	1008
7	1521	1008
8	1642	1008
9	1678	1008
10	1693	1008
11	1725	1008
12	1745	1008

Stop Event

1×

saturated

Counts

26 → 30

Calls

Call 1

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

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

localize74.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	1.4b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
✓	2.6b	(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
✓	5.7b	(+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))

Compiler

Compiled 135 to 84 computations (37.8% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`bool.json-1`
282×	`rational.json-1`
282×	`rational.json-2`
268×	`rational.json-simplify-2`
256×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	167
1	121	167
2	220	167
3	383	167
4	698	167
5	1100	163
6	1314	163
7	1367	163
8	1426	163
9	1478	163
10	1487	163

Stop Event

1×

saturated

Counts

3 → 35

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify169.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2004×	`rational.json-simplify-40`
1968×	`rational.json-simplify-27`
1804×	`rational.json-simplify-41`
1550×	`rational.json-simplify-1`
962×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	6121
1	404	5981
2	864	5909
3	2223	5901
4	4547	5901
5	5300	5901
6	5808	5901
7	5883	5901
8	5897	5901
9	6405	5901

Stop Event

1×	node limit

Counts

107 → 134

Calls

Call 1

Inputs
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(.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 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (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 x))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (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 x))
(-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (neg.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 0)
(-.f64 0 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(.f64 1 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 1)
(.f64 -1 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) -1)
(neg.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(+.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 1/6 (pow.f64 x 3))) 0)
(-.f64 0 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))
(neg.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (cos.f64 x))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (*.f64 (sin.f64 eps) x))) (neg.f64 (cos.f64 x)))
(+.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))) 0)
(+.f64 0 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (sin.f64 eps) x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (*.f64 (sin.f64 eps) x))))
(+.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (*.f64 (sin.f64 eps) x)))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (*.f64 (sin.f64 eps) x)))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sin.f64 eps) x)) (-.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (cos.f64 x)))
(.f64 1 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x)))))
(.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x)))) 1)
(.f64 -1 (+.f64 (cos.f64 x) (+.f64 (-.f64 (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (+.f64 (cos.f64 x) (+.f64 (-.f64 (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))) -1)
(neg.f64 (+.f64 (cos.f64 x) (+.f64 (-.f64 (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) -1/6)))))

Outputs
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 eps (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 eps (.f64 1/6 (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (.f64 -1/2 (pow.f64 eps 2))))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 eps (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) -1/36)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3)))))))
(+.f64 (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (pow.f64 x 3) (*.f64 -1/36 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (pow.f64 x 3) (*.f64 -1/36 (pow.f64 eps 3)))))
(+.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 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.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 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.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 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(.f64 1/6 (.f64 eps (pow.f64 x 3)))
(.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 eps (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) -1/36)))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.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 (.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 eps (.f64 1/6 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) -1/36)) (.f64 (pow.f64 eps 5) (.f64 1/720 (pow.f64 x 3)))))
(+.f64 (.f64 eps (.f64 1/6 (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 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 5) (.f64 (pow.f64 x 3) 1/720))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (.f64 (pow.f64 x 3) (.f64 1/720 (pow.f64 eps 5)))))
(+.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 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) -1/36)) (.f64 (pow.f64 eps 5) (.f64 1/720 (pow.f64 x 3))))) (.f64 -1/30240 (.f64 (pow.f64 x 3) (pow.f64 eps 7))))
(+.f64 (+.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 -1/30240 (.f64 (pow.f64 x 3) (pow.f64 eps 7)))))
(+.f64 (.f64 eps (.f64 1/6 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (.f64 (pow.f64 eps 5) (.f64 (pow.f64 x 3) 1/720))) (.f64 (pow.f64 x 3) (.f64 -1/30240 (pow.f64 eps 7)))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (.f64 (pow.f64 x 3) (.f64 1/720 (pow.f64 eps 5)))) (.f64 (pow.f64 x 3) (.f64 -1/30240 (pow.f64 eps 7)))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) (.f64 1/720 (pow.f64 eps 5))) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/36 (pow.f64 eps 3))) (.f64 (pow.f64 x 3) (.f64 -1/30240 (pow.f64 eps 7))))))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(+.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (cos.f64 x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) (cos.f64 x))
(+.f64 (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)) (.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 1 (+.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 x)) (.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) (cos.f64 x))
(+.f64 (-.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)) (+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (.f64 -1/2 (pow.f64 eps 2))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(-.f64 (+.f64 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x))
(+.f64 (-.f64 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (cos.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))))))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (pow.f64 x 3) -1/36) (*.f64 x 1/6))))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (.f64 -1/2 (pow.f64 eps 2))) (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (pow.f64 x 3) -1/36) (*.f64 x 1/6))))) (cos.f64 x))
(+.f64 (-.f64 (+.f64 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x)) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (pow.f64 x 3) -1/36) (.f64 x 1/6))))
(+.f64 (+.f64 (-.f64 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (cos.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 (pow.f64 x 3) -1/36) (.f64 x 1/6))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 eps) x)) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.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 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
(-.f64 (cos.f64 eps) (+.f64 (*.f64 x (sin.f64 eps)) 1))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.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 -1 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(+.f64 (-.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 eps)) 1)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))
(+.f64 (-.f64 (cos.f64 eps) (+.f64 1 (.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 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 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 (+.f64 (cos.f64 eps) (+.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (sin.f64 eps) (neg.f64 x))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 -1 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 x (sin.f64 eps)))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (+.f64 (.f64 x (sin.f64 eps)) 1) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (+.f64 1 (.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 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (-.f64 (.f64 x (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 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.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 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (.f64 x (sin.f64 eps))) (.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.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 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (.f64 x (sin.f64 eps))) (.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (neg.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 0)
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(-.f64 0 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(.f64 1 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 1)
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(.f64 -1 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) -1)
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))))
(neg.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.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 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (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 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(-.f64 0 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps)))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
(neg.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (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))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (cos.f64 x))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (*.f64 (sin.f64 eps) x))) (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))) 0)
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 0 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (sin.f64 eps) x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (*.f64 (sin.f64 eps) x))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sin.f64 eps) x)) (-.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (cos.f64 x)))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(.f64 1 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x)))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(.f64 -1 (+.f64 (cos.f64 x) (+.f64 (-.f64 (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(.f64 (+.f64 (cos.f64 x) (+.f64 (-.f64 (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) -1/6)))) -1)
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(neg.f64 (+.f64 (cos.f64 x) (+.f64 (-.f64 (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) -1/6)))))
(-.f64 (+.f64 (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 (pow.f64 x 3) (.f64 1/6 (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (cos.f64 x)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))

eval115.0ms (1.3%)

Compiler: Compiled 7589 to 4685 computations (38.3% saved)

prune68.0ms (0.8%)

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	312	5	317
Fresh	3	9	12
Picked	1	0	1
Done	0	12	12
Total	316	26	342

Error

13.2b

Counts

342 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	55.2b	(-.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x))
	55.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	43.2b	(-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
	42.5b	(-.f64 (cos.f64 eps) (+.f64 (*.f64 x (sin.f64 eps)) 1))
✓	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
✓	54.9b	(-.f64 1 (cos.f64 x))
	43.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)) (+.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))) (.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
	43.2b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) x))) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))
	42.9b	(+.f64 (-.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 eps)) 1)) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))
✓	43.9b	(+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (.f64 x (sin.f64 eps)))) (.f64 -1/24 (pow.f64 x 4))))
	30.3b	(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
✓	30.1b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))))
✓	29.9b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
✓	30.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	38.9b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 eps) -1))))
✓	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
	46.8b	(+.f64 (.f64 x (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2)))
	51.8b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	43.1b	(+.f64 (cos.f64 eps) (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (+.f64 1 (-.f64 (.f64 x (sin.f64 eps)) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))))))
✓	43.3b	(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 -1 (.f64 x (sin.f64 eps)))))
✓	42.5b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	35.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	51.9b	(*.f64 eps (neg.f64 x))
	51.3b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 454 to 332 computations (26.9% saved)

regimes147.0ms (1.6%)

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

64.0ms	eps
49.0ms	x
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.4b	3	`x`
14.5b	3	`eps`
16.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 614 to 314 computations (48.9% saved)

bsearch75.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.0002345405301562648	3.8047405072780687
45.0ms	-103058716466.39009	-0.04508385495572417

Results

31.0ms	79×	body	1024	valid
26.0ms	173×	body	256	valid
8.0ms	30×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 788 to 568 computations (27.9% saved)

regimes236.0ms (2.6%)

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

155.0ms	eps
48.0ms	x
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.4b	3	`x`
14.7b	3	`eps`
16.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 582 to 296 computations (49.1% saved)

bsearch84.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.1325184180181952e-12	0.0002345405301562648
45.0ms	-103058716466.39009	-0.04508385495572417

Results

36.0ms	85×	body	1024	valid
26.0ms	175×	body	256	valid
13.0ms	38×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 660 to 485 computations (26.5% saved)

regimes121.0ms (1.4%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

58.0ms	x
39.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.0b	3	`x`
14.7b	3	`eps`
16.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 361 to 171 computations (52.6% saved)

bsearch83.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	1.1325184180181952e-12	0.0002345405301562648
42.0ms	-103058716466.39009	-0.04508385495572417

Results

33.0ms	81×	body	1024	valid
29.0ms	171×	body	256	valid
11.0ms	45×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 660 to 485 computations (26.5% saved)

regimes260.0ms (2.9%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

200.0ms	x
35.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.0b	3	`x`
14.7b	3	`eps`
16.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 338 to 159 computations (53% saved)

bsearch86.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	1.1325184180181952e-12	0.0002345405301562648
45.0ms	-103058716466.39009	-0.04508385495572417

Results

35.0ms	89×	body	1024	valid
25.0ms	162×	body	256	valid
14.0ms	42×	body	512	valid
8.0ms	11×	body	2048	valid

Compiler

Compiled 489 to 371 computations (24.1% saved)

regimes136.0ms (1.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	x
42.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.3b	3	`x`
15.0b	3	`eps`
16.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 172 to 74 computations (57% saved)

bsearch79.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.1325184180181952e-12	0.0002345405301562648
41.0ms	-103058716466.39009	-0.04508385495572417

Results

33.0ms	82×	body	1024	valid
26.0ms	181×	body	256	valid
9.0ms	31×	body	512	valid
6.0ms	10×	body	2048	valid

Compiler

Compiled 432 to 333 computations (22.9% saved)

regimes80.0ms (0.9%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	x
23.0ms	eps
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
24.7b	5	`x`
20.0b	3	`eps`
21.1b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 129 to 65 computations (49.6% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.1325184180181952e-12	0.0002345405301562648
0.0ms	-2.107482091702464e-6	-2.0530492352740283e-6

Results

15.0ms	37×	body	1024	valid
14.0ms	83×	body	256	valid
5.0ms	21×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 158 to 118 computations (25.3% saved)

regimes40.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
15.0ms	eps

Results

Error	Segments	Branch
24.8b	5	`x`
20.6b	3	`eps`

Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.1325184180181952e-12	0.0002345405301562648
0.0ms	-2.107482091702464e-6	-2.0530492352740283e-6

Results

15.0ms	35×	body	1024	valid
13.0ms	78×	body	256	valid
7.0ms	29×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 149 to 118 computations (20.8% saved)

regimes27.0ms (0.3%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
41.1b	1	`x`
33.8b	5	`eps`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch163.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	1.0990246404062361e-14	1.1325184180181952e-12
23.0ms	3.3268411924092613e-127	4.016442892521371e-127
71.0ms	-1.1258459601802241e-159	-1.0336056276800655e-161
40.0ms	-103058716466.39009	-0.04508385495572417

Results

66.0ms	168×	body	1024	valid
58.0ms	74×	body	2048	valid
27.0ms	168×	body	256	valid
6.0ms	22×	body	512	valid

Compiler

Compiled 419 to 351 computations (16.2% saved)

regimes14.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
41.1b	1	`x`
37.0b	3	`eps`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch66.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.0990246404062361e-14	1.1325184180181952e-12
36.0ms	-2.8917859054938233e-15	-1.5576936281550176e-18

Results

29.0ms	76×	body	1024	valid
18.0ms	122×	body	256	valid
9.0ms	32×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 224 to 175 computations (21.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -4.8b remaining (-9.3%)

Threshold costs -4.8b (-9.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
51.9b	1	`x`
51.9b	1	`eps`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	832

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -1170935903116329/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7566047373982433/36028797018963968) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -1080863910568919/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -1261007895663739/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3314649325744685/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7349874591868649/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4958484807013127/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1770887431076117/73786976294838206464) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4958484807013127/2361183241434822606848) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1770887431076117/147573952589676412928) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -3314649325744685/72057594037927936) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -272063441620415/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 4633845504375301/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5446936172855673/4951760157141521099596496896) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1806402105325227/633825300114114700748351602688) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6734393813712469/39614081257132168796771975168) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))

Outputs
(if (<=.f64 eps -1170935903116329/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7566047373982433/36028797018963968) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -1080863910568919/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -1261007895663739/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3314649325744685/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7349874591868649/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4242751136953197/18446744073709551616) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4958484807013127/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1770887431076117/73786976294838206464) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4958484807013127/2361183241434822606848) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1770887431076117/147573952589676412928) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -3314649325744685/72057594037927936) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -272063441620415/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 4633845504375301/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5446936172855673/4951760157141521099596496896) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1806402105325227/633825300114114700748351602688) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6734393813712469/39614081257132168796771975168) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))

Compiler

Compiled 319 to 201 computations (37% saved)

soundness460.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

2294×	`rational.json-simplify-27`
1774×	`rational.json-simplify-41`
1304×	`rational.json-simplify-31`
1250×	`rational.json-simplify-40`
1222×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1678
1	205	1670
2	378	1604
3	709	1604
4	1265	1604
5	2215	1604
6	3195	1604
7	3829	1604
8	4142	1604
9	4344	1604
10	4555	1604
11	4763	1604
12	4969	1604
13	5512	1604
14	5644	1604
15	5705	1604
16	5770	1604
17	5837	1604
18	5899	1604
19	5961	1604
20	6027	1604
21	6348	1604
22	6594	1604
23	6776	1604
24	7116	1604
25	7193	1604
26	7195	1604

Stop Event

1×

saturated

Compiler

Compiled 459 to 280 computations (39% saved)

end113.0ms (1.3%)

Compiler: Compiled 301 to 143 computations (52.5% saved)

Iter	Nodes	Cost
0	19	137
1	90	137
2	163	137
3	256	137
4	389	137
5	493	129
6	518	129
7	559	129
8	578	129

Iter	Nodes	Cost
0	21	107
1	103	107
2	177	107
3	224	107
4	259	107
5	263	107
6	268	107
7	277	107
8	287	107
9	300	107
10	352	107
11	411	107
12	453	107

Iter	Nodes	Cost
0	42	259
1	60	259
2	83	259
3	117	259
4	174	259
5	201	259
6	206	259
7	208	259
8	209	259

Iter	Nodes	Cost
0	44	784
1	91	780
2	150	780
3	223	780
4	287	780
5	341	780
6	403	780
7	467	780
8	493	780
9	509	780
10	526	780
11	552	780
12	555	780

Iter	Nodes	Cost
0	19	137
1	90	137
2	163	137
3	256	137
4	389	137
5	493	129
6	518	129
7	559	129
8	578	129

Iter	Nodes	Cost
0	21	107
1	103	107
2	177	107
3	224	107
4	259	107
5	263	107
6	268	107
7	277	107
8	287	107
9	300	107
10	352	107
11	411	107
12	453	107

Iter	Nodes	Cost
0	42	259
1	60	259
2	83	259
3	117	259
4	174	259
5	201	259
6	206	259
7	208	259
8	209	259

Iter	Nodes	Cost
0	44	784
1	91	780
2	150	780
3	223	780
4	287	780
5	341	780
6	403	780
7	467	780
8	493	780
9	509	780
10	526	780
11	552	780
12	555	780

Iter	Nodes	Cost
0	19	137
1	90	137
2	163	137
3	256	137
4	389	137
5	493	129
6	518	129
7	559	129
8	578	129

Iter	Nodes	Cost
0	21	107
1	103	107
2	177	107
3	224	107
4	259	107
5	263	107
6	268	107
7	277	107
8	287	107
9	300	107
10	352	107
11	411	107
12	453	107

Iter	Nodes	Cost
0	42	259
1	60	259
2	83	259
3	117	259
4	174	259
5	201	259
6	206	259
7	208	259
8	209	259

Iter	Nodes	Cost
0	44	784
1	91	780
2	150	780
3	223	780
4	287	780
5	341	780
6	403	780
7	467	780
8	493	780
9	509	780
10	526	780
11	552	780
12	555	780