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)

sample15.1s (67.6%)

Results

10.9s	3529×	body	1024	valid
2.3s	1274×	body	2048	valid
1.3s	1444×	body	512	valid
625.0ms	2005×	body	256	valid
5.0ms	4×	body	4096	valid

Bogosity

preprocess83.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1386×	`rational.json-simplify-2`
1308×	`rational.json-simplify-35`
1238×	`rational.json-simplify-51`
1218×	`rational.json-simplify-26`
1202×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	22	42
2	28	42
3	38	42
4	56	42
5	83	42
6	154	42
7	416	42
8	1557	42
9	3297	42
10	4355	42
11	6572	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1980×	`rational.json-simplify-35`
1762×	`rational.json-simplify-26`
970×	`rational.json-simplify-52`
918×	`rational.json-simplify-2`
856×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	16	21
2	20	21
3	27	21
4	41	21
5	62	21
6	115	21
7	309	21
8	1076	21
9	2351	21
10	3008	21
11	4382	21
12	5964	21
13	6794	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

33.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.6b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`rational.json-1`
1262×	`rational.json-simplify-35`
1232×	`exponential.json-3`
1232×	`rational.json-2`
1232×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	63	32
2	154	32
3	346	32
4	729	32
5	1833	32
6	4787	32
7	7929	32

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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

Outputs

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

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

simplify297.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-35`
1304×	`rational.json-simplify-51`
1150×	`rational.json-simplify-2`
1050×	`rational.json-simplify-1`
592×	`rational.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2758
1	467	2726
2	1172	2686
3	2663	2686
4	4939	2686
5	6281	2686
6	6863	2686
7	7317	2686
8	7609	2686

Stop Event

1×	node limit

Counts

132 → 145

Calls

Call 1

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

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

eval94.0ms (0.4%)

Compiler: Compiled 2084 to 974 computations (53.3% saved)

prune34.0ms (0.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	128	17	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	18	146

Error

12.0b

Counts

146 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.7b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
▶	53.1b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
▶	35.2b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))) (sin.f64 x))
	34.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	35.4b	(-.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))))) (sin.f64 x))
✓	33.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	34.8b	(-.f64 (sin.f64 eps) (sin.f64 x))
	41.5b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 (sin.f64 (+.f64 x eps))))
	41.5b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
▶	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	33.5b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	29.5b	(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
	33.6b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))))
	29.6b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
	33.5b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
	41.7b	(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
▶	33.4b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 559 to 400 computations (28.4% saved)

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	0.0b	(sin.f64 eps)
✓	0.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	1.8b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 28 to 14 computations (50% saved)

series4.0ms (0%)

Counts

4 → 19

Calls

18 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational.json-1`
1644×	`rational.json-2`
1644×	`rational.json-3`
1126×	`rational.json-simplify-35`
1018×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	85	60
2	193	60
3	391	60
4	815	60
5	1951	60
6	4554	60
7	7066	60

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify251.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2342×	`rational.json-simplify-2`
1882×	`rational.json-simplify-1`
1664×	`rational.json-simplify-35`
1050×	`rational.json-simplify-52`
874×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	213	2022
1	433	2000
2	1092	2000
3	2362	2000
4	3791	2000
5	4567	2000
6	5416	2000
7	6015	2000
8	6524	2000
9	6899	2000
10	7923	2000

Stop Event

1×	node limit

Counts

110 → 141

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 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(sin.f64 eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.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 -2 (-.f64 1 (neg.f64 (cos.f64 eps))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (+.f64 (.f64 (cos.f64 eps) 2) -2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) -2))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8)))) 64)
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(+.f64 (sin.f64 eps) 0)
(+.f64 0 (sin.f64 eps))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) 1/2))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) -1)
(-.f64 (sin.f64 eps) 0)
(-.f64 0 (neg.f64 (sin.f64 eps)))
(-.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) 1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sin.f64 eps) 1)
(*.f64 -1 (neg.f64 (sin.f64 eps)))
(.f64 2 (.f64 (sin.f64 eps) 1/2))
(*.f64 4 (/.f64 (sin.f64 eps) 4))
(.f64 (.f64 (sin.f64 eps) 2) 1/2)
(.f64 (.f64 (sin.f64 eps) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 eps) 2))
(.f64 1/4 (.f64 (sin.f64 eps) 4))
(.f64 (.f64 (sin.f64 eps) 1/2) 2)
(*.f64 (neg.f64 (sin.f64 eps)) -1)
(*.f64 (/.f64 (sin.f64 eps) 4) 4)
(/.f64 (sin.f64 eps) 1)
(/.f64 (*.f64 (sin.f64 eps) 2) 2)
(/.f64 (*.f64 (sin.f64 eps) 4) 4)
(/.f64 (*.f64 (sin.f64 eps) 8) 8)
(/.f64 (neg.f64 (sin.f64 eps)) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) 16)
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 eps) 8))) 32)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (sin.f64 eps)))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) 64)
(pow.f64 (sin.f64 eps) 1)
(neg.f64 (neg.f64 (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 0)
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)))
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(.f64 2 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1/2))
(.f64 2 (+.f64 (.f64 (sin.f64 eps) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2))))
(.f64 2 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)) (*.f64 (sin.f64 eps) 1/2)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 2))
(.f64 1/2 (+.f64 (.f64 (sin.f64 eps) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) (*.f64 (sin.f64 eps) 2)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4) 4)
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8)))) 64)
(pow.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 (pow.f64 eps 2) (.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 (pow.f64 eps 6) (.f64 x -1/720))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 (pow.f64 eps 6) (.f64 -1/720 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 -1/720 (.f64 (pow.f64 eps 6) x))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(+.f64 (.f64 (pow.f64 eps 6) (.f64 x -1/720)) (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) x))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 1/40320 (.f64 (pow.f64 eps 8) x)))))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 eps (.f64 -1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 eps (.f64 (pow.f64 eps 2) (.f64 -1/2 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (.f64 (pow.f64 eps 2) (*.f64 -1/2 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 eps (+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 -1/6 (pow.f64 eps 3))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(sin.f64 eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.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 -2 (-.f64 1 (neg.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 (cos.f64 eps) 2) -2) 1/2)
(.f64 1/2 (+.f64 -2 (.f64 2 (cos.f64 eps))))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 (.f64 (cos.f64 eps) 2) -2))
(.f64 1/2 (+.f64 -2 (.f64 2 (cos.f64 eps))))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) 2)
(/.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) x))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)))
(.f64 (/.f64 x 2) (.f64 2 (+.f64 (cos.f64 eps) -1)))
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)))
(.f64 (+.f64 (cos.f64 eps) -1) (.f64 2 (/.f64 x 2)))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 4)) 4)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8) 8)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 8)) 16)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8))) 32)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) 8)))) 64)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (sin.f64 eps) 0)
(sin.f64 eps)
(+.f64 0 (sin.f64 eps))
(sin.f64 eps)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps))))
(sin.f64 eps)
(+.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) 1/2))
(sin.f64 eps)
(+.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) -1)
(sin.f64 eps)
(-.f64 (sin.f64 eps) 0)
(sin.f64 eps)
(-.f64 0 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) 1)
(sin.f64 eps)
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(*.f64 -1 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(.f64 2 (.f64 (sin.f64 eps) 1/2))
(sin.f64 eps)
(*.f64 4 (/.f64 (sin.f64 eps) 4))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 2) 1/2)
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 4) 1/4)
(sin.f64 eps)
(.f64 1/2 (.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(.f64 1/4 (.f64 (sin.f64 eps) 4))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 1/2) 2)
(sin.f64 eps)
(*.f64 (neg.f64 (sin.f64 eps)) -1)
(sin.f64 eps)
(*.f64 (/.f64 (sin.f64 eps) 4) 4)
(sin.f64 eps)
(/.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(/.f64 (*.f64 (sin.f64 eps) 2) 2)
(sin.f64 eps)
(/.f64 (*.f64 (sin.f64 eps) 4) 4)
(sin.f64 eps)
(/.f64 (*.f64 (sin.f64 eps) 8) 8)
(sin.f64 eps)
(/.f64 (neg.f64 (sin.f64 eps)) -1)
(sin.f64 eps)
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) 16)
(sin.f64 eps)
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) -2)
(sin.f64 eps)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 eps) 8))) 32)
(sin.f64 eps)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (sin.f64 eps)))) -4)
(sin.f64 eps)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) 64)
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(neg.f64 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 0)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 2 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1/2))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 2 (+.f64 (.f64 (sin.f64 eps) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2))))
(.f64 2 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)) (*.f64 (sin.f64 eps) 1/2)))
(.f64 2 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x 2)) (*.f64 (sin.f64 eps) 1/2)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 2) 1/2)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4) 1/4)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 1/2 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 2))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 1/2 (+.f64 (.f64 (sin.f64 eps) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) (*.f64 (sin.f64 eps) 2)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1/2) 2)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 1/4 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4) 4)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 2) 2)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 4) 4)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8) 8)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8)) 16)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8))) 32)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 8)))) 64)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) 1)
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-35`
1330×	`exponential.json-3`
1330×	`rational.json-1`
1330×	`rational.json-2`
1330×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	47	11
2	113	11
3	247	11
4	482	11
5	1096	11
6	2237	11
7	3642	11
8	4826	11
9	6743	11

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify381.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1804×	`rational.json-simplify-35`
1784×	`rational.json-simplify-2`
1552×	`rational.json-simplify-53`
1312×	`rational.json-simplify-1`
1172×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	346
1	152	346
2	295	334
3	605	328
4	1960	328
5	3761	328
6	4324	328
7	4500	328
8	4653	328
9	4823	328
10	5009	328
11	6279	328
12	7313	328
13	7738	328
14	7784	328
15	7789	328
16	7793	328

Stop Event

1×	node limit

Counts

22 → 30

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	1.7b	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1)
	3.6b	(sin.f64 (+.f64 x eps))
✓	10.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`rational.json-simplify-35`
1266×	`exponential.json-3`
1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	96	49
2	227	49
3	531	49
4	1298	49
5	2951	49
6	5357	49

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

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

simplify156.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational.json-simplify-35`
1204×	`rational.json-simplify-51`
1186×	`rational.json-simplify-2`
888×	`rational.json-simplify-48`
874×	`rational.json-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	4638
1	678	4590
2	1866	4530
3	3867	4530
4	6063	4530
5	7935	4530

Stop Event

1×	node limit

Counts

218 → 256

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
	0.1b	(*.f64 (cos.f64 x) eps)
✓	1.7b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series1.0ms (0%)

Counts

2 → 35

Calls

12 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational.json-simplify-35`
1222×	`exponential.json-3`
1222×	`rational.json-1`
1222×	`rational.json-2`
1222×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	72	52
2	180	32
3	419	32
4	855	32
5	2125	32
6	5148	32

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-51`
1252×	`rational.json-simplify-35`
1080×	`rational.json-simplify-1`
1076×	`rational.json-simplify-2`
1004×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	1952
1	453	1952
2	1073	1940
3	3289	1934
4	5678	1934
5	7686	1934

Stop Event

1×	node limit

Counts

124 → 119

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))
✓	0.1b	(*.f64 (cos.f64 eps) x)
✓	1.2b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))) (sin.f64 x))
✓	3.4b	(*.f64 (sin.f64 eps) (pow.f64 x 2))

Compiler

Compiled 79 to 39 computations (50.6% saved)

series6.0ms (0%)

Counts

4 → 60

Calls

24 calls:

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

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`exponential.json-3`
1506×	`rational.json-1`
1506×	`rational.json-2`
1506×	`rational.json-4`
1506×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	123	106
2	290	106
3	684	106
4	1633	106
5	3799	106
6	6495	106

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify148.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational.json-simplify-35`
1408×	`rational.json-simplify-51`
1342×	`rational.json-simplify-2`
900×	`rational.json-simplify-1`
694×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	5398
1	578	5398
2	1263	5362
3	2846	5278
4	5840	5278
5	7367	5278

Stop Event

1×	node limit

Counts

142 → 172

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(-.f64 x (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) x) (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x)) (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 (cos.f64 eps) x))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 (cos.f64 eps) x))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) x)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 (sin.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 0)
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 1)
(/.f64 (.f64 (sin.f64 eps) (.f64 2 (pow.f64 x 2))) 2)
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4))))) 32)
(pow.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 1)
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (sin.f64 x))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 0)
(+.f64 0 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))) (-.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (-.f64 (.f64 x (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 -1 (+.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (cos.f64 eps))) (-.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)) (*.f64 x (cos.f64 eps)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (sin.f64 x))) (sin.f64 eps))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (sin.f64 x)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
(+.f64 (+.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))) -1)
(+.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2) (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2))
(.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2))
(.f64 2 (-.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) 1/2) (.f64 (sin.f64 x) 1/2)))
(.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1)
(.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))))
(.f64 -1 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))
(.f64 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))) 1/2)
(.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))) -1)
(.f64 4 (/.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))
(.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))))
(.f64 1/2 (-.f64 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))) (.f64 2 (sin.f64 x))))
(.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))
(.f64 (/.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4) 4)
(/.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))) 2)
(/.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))) -1)
(/.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4)) 8)
(/.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))))) -2)
(/.f64 (.f64 2 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))) (neg.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))))))) 4)
(pow.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1)
(neg.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))))
(+.f64 (*.f64 x (cos.f64 eps)) 0)
(+.f64 0 (*.f64 x (cos.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (.f64 x 1/2)) (.f64 (cos.f64 eps) (.f64 x 1/2)))
(-.f64 (*.f64 x (cos.f64 eps)) 0)
(/.f64 (*.f64 x (cos.f64 eps)) 1)
(/.f64 (.f64 x (.f64 2 (cos.f64 eps))) 2)
(/.f64 (.f64 (cos.f64 eps) (.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 eps) (*.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 x 4))))) 32)
(pow.f64 (*.f64 x (cos.f64 eps)) 1)
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 0)
(+.f64 0 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)))
(-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 0)
(-.f64 0 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 1)
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) -2)) 8)
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2))) (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2)))) 32)
(pow.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 1)
(neg.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)))

Outputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 -1/6 (*.f64 (pow.f64 x 2) (pow.f64 eps 3))))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 3) -1/6)))
(.f64 (pow.f64 x 2) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 2)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 1/120 (*.f64 (pow.f64 x 2) (pow.f64 eps 5)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) -1/6)) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 5) 1/120))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (+.f64 eps (.f64 1/120 (pow.f64 eps 5)))))
(.f64 (pow.f64 x 2) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 2))))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 1/120 (.f64 (pow.f64 x 2) (pow.f64 eps 5)))) (.f64 -1/5040 (*.f64 (pow.f64 x 2) (pow.f64 eps 7)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) -1/6)) (+.f64 (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 5) 1/120))) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 7) -1/5040))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/6 (pow.f64 eps 3))) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/5040 (pow.f64 eps 7))) (.f64 (pow.f64 x 2) (+.f64 eps (.f64 1/120 (pow.f64 eps 5))))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/5040 (pow.f64 eps 7)) (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))))))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(-.f64 x (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) x) (sin.f64 x))
(-.f64 (+.f64 x (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) (sin.f64 x))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 x (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))
(+.f64 x (-.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x)) (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 x (.f64 -1/2 (.f64 x (pow.f64 eps 2))))) (sin.f64 x))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (+.f64 x (.f64 (pow.f64 eps 2) (.f64 x -1/2))) (sin.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (-.f64 x (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(+.f64 x (+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (sin.f64 x))))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x))) (sin.f64 x))
(-.f64 (+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (+.f64 x (.f64 -1/2 (.f64 x (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) 1/12) 1/6)))) (sin.f64 x))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 x (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) 1/12) 1/6)))) (sin.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) 1/12) 1/6)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (-.f64 x (sin.f64 x)))))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) 1/12) 1/6)) (-.f64 x (sin.f64 x)))))
(+.f64 (.f64 eps (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 x (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) 1/12) 1/6)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (sin.f64 x)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 (cos.f64 eps) x))
(+.f64 (.f64 x (cos.f64 eps)) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))
(+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 (cos.f64 eps) x))
(+.f64 (.f64 x (cos.f64 eps)) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))
(+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x)
(+.f64 x (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(+.f64 x (.f64 (pow.f64 eps 2) (.f64 x -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) x))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 x (.f64 1/24 (.f64 x (pow.f64 eps 4)))))
(+.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 4) 1/24)) (.f64 (pow.f64 eps 2) (.f64 x -1/2))))
(+.f64 x (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 x (.f64 1/24 (pow.f64 eps 4)))))
(+.f64 x (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) x)))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (+.f64 x (.f64 1/24 (.f64 x (pow.f64 eps 4)))) (.f64 -1/720 (.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 x (.f64 (pow.f64 eps 4) 1/24)) (+.f64 x (.f64 x (.f64 -1/720 (pow.f64 eps 6))))))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 x (.f64 1/24 (pow.f64 eps 4)))) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (+.f64 x (.f64 -1/2 (.f64 x (pow.f64 eps 2)))) (.f64 x (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 eps (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 2) 1/12)))
(+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))))
(+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) 1/12)))
(.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 eps 3) 1/12) (*.f64 eps -1/2)))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 2) 1/12)) (+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (.f64 (pow.f64 x 2) (pow.f64 eps 5)) -1/240)))
(+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5))) (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3)))))
(+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) 1/12)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 5) -1/240))))
(+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 eps 5) -1/240) (*.f64 (pow.f64 eps 3) 1/12))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(+.f64 (.f64 (.f64 (pow.f64 x 2) (pow.f64 eps 5)) -1/240) (+.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 2) 1/12)) (+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (.f64 (pow.f64 x 2) (pow.f64 eps 7)) 1/10080))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5))) (+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (.f64 1/10080 (pow.f64 eps 7))))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) 1/12)) (+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 7) 1/10080)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 5) -1/240)))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 eps 3) 1/12) (.f64 eps -1/2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 eps 5) -1/240) (.f64 (pow.f64 eps 7) 1/10080))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 0)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(+.f64 0 (*.f64 (sin.f64 eps) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(-.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 0)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(/.f64 (.f64 (sin.f64 eps) (.f64 2 (pow.f64 x 2))) 2)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4)) 4)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) 4))) 8)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4)))) 16)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 4))))) 32)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(pow.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (sin.f64 x))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (neg.f64 (sin.f64 x)))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 0)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 0 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))) (-.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (-.f64 (.f64 x (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 -1 (+.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 x (cos.f64 eps))) (-.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)) (*.f64 x (cos.f64 eps)))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (sin.f64 x))) (sin.f64 eps))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (sin.f64 x)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x))))
(+.f64 (+.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))) -1)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2) (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 2 (-.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) 1/2) (.f64 (sin.f64 x) 1/2)))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 -1 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))) 1/2)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))) -1)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 4 (/.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4) 1/4)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 1/2 (-.f64 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))) (.f64 2 (sin.f64 x))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1/2) 2)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 1/4 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(.f64 (/.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4) 4)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (.f64 2 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))) 2)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))) -1)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4) 4)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4)) 8)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))))) -2)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))))) -4)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))) 16)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))) 2)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 4)))) 32)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))) (neg.f64 (.f64 2 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))))))) 4)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(pow.f64 (+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x))) 1)
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))))
(+.f64 (.f64 x (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (-.f64 (*.f64 x (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 x (cos.f64 eps)) 0)
(*.f64 x (cos.f64 eps))
(+.f64 0 (*.f64 x (cos.f64 eps)))
(*.f64 x (cos.f64 eps))
(+.f64 (.f64 (cos.f64 eps) (.f64 x 1/2)) (.f64 (cos.f64 eps) (.f64 x 1/2)))
(*.f64 x (cos.f64 eps))
(-.f64 (*.f64 x (cos.f64 eps)) 0)
(*.f64 x (cos.f64 eps))
(/.f64 (*.f64 x (cos.f64 eps)) 1)
(*.f64 x (cos.f64 eps))
(/.f64 (.f64 x (.f64 2 (cos.f64 eps))) 2)
(*.f64 x (cos.f64 eps))
(/.f64 (.f64 (cos.f64 eps) (.f64 x 4)) 4)
(*.f64 x (cos.f64 eps))
(/.f64 (.f64 2 (.f64 (cos.f64 eps) (*.f64 x 4))) 8)
(*.f64 x (cos.f64 eps))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 x 4)))) 16)
(*.f64 x (cos.f64 eps))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 eps) (.f64 x 4))))) 32)
(*.f64 x (cos.f64 eps))
(pow.f64 (*.f64 x (cos.f64 eps)) 1)
(*.f64 x (cos.f64 eps))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 0)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(-.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 0)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(-.f64 0 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 1)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 x 2))) 2)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2) 4)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) -2)) 8)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)) -1)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2))) 16)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2))) (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) -2)))) 32)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(pow.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) 1)
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))
(neg.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2))

eval217.0ms (1%)

Compiler: Compiled 14045 to 7748 computations (44.8% saved)

prune154.0ms (0.7%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	793	19	812
Fresh	8	4	12
Picked	1	0	1
Done	2	3	5
Total	804	26	830

Error

11.2b

Counts

830 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	42.7b	(-.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 1)) 1) (sin.f64 x))
	41.3b	(-.f64 (-.f64 (+.f64 (sin.f64 eps) 1) 1) (sin.f64 x))
▶	61.3b	(-.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (sin.f64 x))
▶	41.8b	(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))
	35.4b	(-.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (sin.f64 x))
	34.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	59.5b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
✓	33.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	34.8b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	61.7b	(-.f64 x (sin.f64 x))
	35.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)) (*.f64 x (cos.f64 eps)))
	60.6b	(+.f64 (+.f64 (*.f64 (cos.f64 x) eps) 1) -1)
	41.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -2 (sin.f64 x))) 2)
	35.1b	(+.f64 (+.f64 1 (-.f64 -1 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
	33.5b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
✓	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	29.6b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
▶	29.5b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
	33.5b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	33.6b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))))
	60.6b	(+.f64 -2 (-.f64 1 (-.f64 -1 (*.f64 (cos.f64 x) eps))))
	41.7b	(+.f64 -3 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.4b	(*.f64 (cos.f64 x) eps)
▶	26.8b	(sin.f64 eps)
	46.8b	eps

Compiler

Compiled 677 to 500 computations (26.1% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 x (sin.f64 x))

Compiler

Compiled 9 to 4 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational.json-1`
1750×	`rational.json-2`
1226×	`exponential.json-3`
1226×	`rational.json-4`
1226×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	42	11
2	112	11
3	242	11
4	484	11
5	1161	11
6	3876	11
7	7566	11

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(-.f64 x (sin.f64 x))

Outputs

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

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1796×	`rational.json-simplify-35`
1324×	`rational.json-simplify-2`
1052×	`rational.json-simplify-1`
998×	`rational.json-simplify-52`
948×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	205	1550
1	432	1538
2	1019	1534
3	2196	1238
4	4345	1236
5	5612	1236
6	6436	1236
7	7572	1236

Stop Event

1×	node limit

Counts

86 → 108

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) 0)
(+.f64 0 (-.f64 x (sin.f64 x)))
(+.f64 (PI.f64) (-.f64 (-.f64 x (sin.f64 x)) (PI.f64)))
(+.f64 (-.f64 x (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))
(+.f64 (neg.f64 (PI.f64)) (+.f64 x (-.f64 (PI.f64) (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 -1 (+.f64 (-.f64 x (sin.f64 x)) 1))
(+.f64 -1 (+.f64 (+.f64 1 x) (neg.f64 (sin.f64 x))))
(+.f64 -1 (+.f64 (-.f64 1 (sin.f64 x)) x))
(+.f64 (+.f64 (-.f64 x (sin.f64 x)) 1) -1)
(+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (sin.f64 x)))
(+.f64 (+.f64 x (PI.f64)) (+.f64 (neg.f64 (sin.f64 x)) (neg.f64 (PI.f64))))
(+.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(+.f64 (+.f64 1 x) (-.f64 -1 (sin.f64 x)))
(+.f64 (-.f64 x (+.f64 (PI.f64) -1)) (-.f64 (+.f64 (PI.f64) -1) (sin.f64 x)))
(+.f64 (-.f64 1 (sin.f64 x)) (+.f64 x -1))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 (-.f64 x (+.f64 (PI.f64) -1)) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 x))
(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 x) (-.f64 -1 x))))
(+.f64 (+.f64 x (-.f64 (PI.f64) (sin.f64 x))) (neg.f64 (PI.f64)))
(+.f64 (-.f64 (PI.f64) (sin.f64 x)) (-.f64 x (PI.f64)))
(+.f64 (-.f64 (-.f64 x (sin.f64 x)) (PI.f64)) (PI.f64))
(+.f64 (+.f64 x -1) (-.f64 1 (sin.f64 x)))
(+.f64 (-.f64 (neg.f64 (PI.f64)) (sin.f64 x)) (+.f64 x (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (-.f64 (PI.f64) (sin.f64 x)))) (+.f64 1 x))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (*.f64 (PI.f64) 2) x) (-.f64 (PI.f64) (sin.f64 x)))) (+.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (neg.f64 (-.f64 (-.f64 x (sin.f64 x)) (PI.f64)))) (+.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (-.f64 x (PI.f64)))) (+.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (neg.f64 (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 x (+.f64 (PI.f64) -1)))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (PI.f64))) (-.f64 x (+.f64 (PI.f64) -1)))
(+.f64 (-.f64 -1 (neg.f64 (+.f64 x (-.f64 (PI.f64) (sin.f64 x))))) (-.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 x) (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (neg.f64 (PI.f64)) x) (neg.f64 (sin.f64 x)))) (-.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (neg.f64 (sin.f64 x)))) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) x)))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 1 (-.f64 (*.f64 (PI.f64) 2) x)))
(+.f64 (-.f64 -1 (-.f64 (.f64 (PI.f64) -2) (neg.f64 (sin.f64 x)))) (-.f64 1 (-.f64 (.f64 (PI.f64) 2) x)))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(*.f64 1 (-.f64 x (sin.f64 x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 2 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (sin.f64 x))) (*.f64 (-.f64 (PI.f64) x) 1/2)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) 1/2)
(*.f64 (-.f64 (sin.f64 x) x) -1)
(.f64 4 (.f64 (-.f64 x (sin.f64 x)) 1/4))
(.f64 4 (-.f64 (.f64 x 1/4) (*.f64 (sin.f64 x) 1/4)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) 2))
(.f64 1/2 (-.f64 (.f64 2 (-.f64 (PI.f64) (sin.f64 x))) (*.f64 (-.f64 (PI.f64) x) 2)))
(*.f64 -1 (-.f64 (sin.f64 x) x))
(.f64 (.f64 2 (-.f64 (sin.f64 x) x)) -1/2)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) 1/8)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) 2)
(.f64 -2 (.f64 (-.f64 (sin.f64 x) x) 1/2))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 1/2) -2)
(.f64 1/4 (.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 1/4 (-.f64 (.f64 x 4) (*.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/4) 4)
(.f64 -1/2 (.f64 2 (-.f64 (sin.f64 x) x)))
(.f64 1/8 (.f64 (-.f64 x (sin.f64 x)) 8))
(/.f64 (-.f64 x (sin.f64 x)) 1)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 2)
(/.f64 (-.f64 (sin.f64 x) x) -1)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (sin.f64 x) x)) -2)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 x) x) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 x (sin.f64 x)) 8))) 32)
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (sin.f64 x) x) 4)) (neg.f64 (.f64 (-.f64 (sin.f64 x) x) 4))) 8)
(pow.f64 (-.f64 x (sin.f64 x)) 1)
(neg.f64 (-.f64 (sin.f64 x) x))

Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (.f64 -1/362880 (pow.f64 x 9)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (.f64 1/5040 (pow.f64 x 7)))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/362880 (pow.f64 x 9))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/362880 (pow.f64 x 9)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) 0)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 0 (-.f64 x (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (PI.f64) (-.f64 (-.f64 x (sin.f64 x)) (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 x (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (neg.f64 (PI.f64)) (+.f64 x (-.f64 (PI.f64) (sin.f64 x))))
(+.f64 x (+.f64 (-.f64 (PI.f64) (sin.f64 x)) (neg.f64 (PI.f64))))
(+.f64 (-.f64 (PI.f64) (sin.f64 x)) (+.f64 x (neg.f64 (PI.f64))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 -1 (+.f64 (-.f64 x (sin.f64 x)) 1))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 -1 (+.f64 (+.f64 1 x) (neg.f64 (sin.f64 x))))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 -1 (+.f64 (-.f64 1 (sin.f64 x)) x))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (+.f64 (-.f64 x (sin.f64 x)) 1) -1)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (+.f64 x (PI.f64)) (+.f64 (neg.f64 (sin.f64 x)) (neg.f64 (PI.f64))))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (+.f64 1 x) (-.f64 -1 (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 x (+.f64 (PI.f64) -1)) (-.f64 (+.f64 (PI.f64) -1) (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 1 (sin.f64 x)) (+.f64 x -1))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 (-.f64 x (+.f64 (PI.f64) -1)) (neg.f64 (sin.f64 x))))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 x))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 x) (-.f64 -1 x))))
(+.f64 (+.f64 x (-.f64 (PI.f64) (sin.f64 x))) (neg.f64 (PI.f64)))
(+.f64 x (+.f64 (-.f64 (PI.f64) (sin.f64 x)) (neg.f64 (PI.f64))))
(+.f64 (-.f64 (PI.f64) (sin.f64 x)) (+.f64 x (neg.f64 (PI.f64))))
(+.f64 (-.f64 (PI.f64) (sin.f64 x)) (-.f64 x (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 (-.f64 x (sin.f64 x)) (PI.f64)) (PI.f64))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (+.f64 x -1) (-.f64 1 (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 (neg.f64 (PI.f64)) (sin.f64 x)) (+.f64 x (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (-.f64 (PI.f64) (sin.f64 x)))) (+.f64 1 x))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (*.f64 (PI.f64) 2) x) (-.f64 (PI.f64) (sin.f64 x)))) (+.f64 1 (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (neg.f64 (-.f64 (-.f64 x (sin.f64 x)) (PI.f64)))) (+.f64 1 (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (-.f64 x (PI.f64)))) (+.f64 1 (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (neg.f64 (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 x (+.f64 (PI.f64) -1)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (PI.f64))) (-.f64 x (+.f64 (PI.f64) -1)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (neg.f64 (+.f64 x (-.f64 (PI.f64) (sin.f64 x))))) (-.f64 1 (PI.f64)))
(+.f64 (-.f64 (+.f64 x (-.f64 (PI.f64) (sin.f64 x))) 1) (-.f64 1 (PI.f64)))
(+.f64 (+.f64 x (+.f64 -1 (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 1 (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 x) (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 1 (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (neg.f64 (PI.f64)) x) (neg.f64 (sin.f64 x)))) (-.f64 1 (PI.f64)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (neg.f64 (sin.f64 x)))) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) x)))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (sin.f64 (neg.f64 x)))) (-.f64 x (-.f64 (neg.f64 (PI.f64)) 1)))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 x) (neg.f64 (PI.f64)))) (-.f64 x (-.f64 -1 (PI.f64))))
(+.f64 (-.f64 (-.f64 -1 (PI.f64)) (sin.f64 x)) (-.f64 x (-.f64 -1 (PI.f64))))
(+.f64 (-.f64 x (-.f64 -1 (PI.f64))) (-.f64 (-.f64 -1 (PI.f64)) (sin.f64 x)))
(+.f64 (-.f64 x (-.f64 -1 (PI.f64))) (-.f64 (-.f64 -1 (sin.f64 x)) (PI.f64)))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 1 (-.f64 (*.f64 (PI.f64) 2) x)))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 x (-.f64 (*.f64 (PI.f64) 2) 1)))
(+.f64 (-.f64 (-.f64 (PI.f64) (sin.f64 x)) (-.f64 1 (PI.f64))) (-.f64 x (+.f64 (*.f64 (PI.f64) 2) -1)))
(+.f64 (-.f64 (PI.f64) (-.f64 1 (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 x (+.f64 -1 (*.f64 (PI.f64) 2))))
(+.f64 (+.f64 (PI.f64) (+.f64 -1 (-.f64 (PI.f64) (sin.f64 x)))) (-.f64 x (+.f64 -1 (*.f64 (PI.f64) 2))))
(+.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (PI.f64) 2)) (-.f64 x (+.f64 -1 (.f64 (PI.f64) 2))))
(+.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (.f64 (PI.f64) 2)) (-.f64 1 (-.f64 (.f64 (PI.f64) 2) x)))
(+.f64 (-.f64 -1 (-.f64 (.f64 (PI.f64) -2) (neg.f64 (sin.f64 x)))) (-.f64 1 (-.f64 (.f64 (PI.f64) 2) x)))
(+.f64 (-.f64 x (-.f64 (.f64 (PI.f64) 2) 1)) (-.f64 (sin.f64 (neg.f64 x)) (-.f64 (.f64 (PI.f64) -2) -1)))
(+.f64 (-.f64 x (+.f64 (.f64 (PI.f64) 2) -1)) (-.f64 (sin.f64 (neg.f64 x)) (+.f64 1 (.f64 (PI.f64) -2))))
(+.f64 (-.f64 x (+.f64 -1 (.f64 (PI.f64) 2))) (-.f64 (sin.f64 (neg.f64 x)) (+.f64 1 (.f64 (PI.f64) -2))))
(+.f64 (-.f64 x (+.f64 -1 (.f64 (PI.f64) 2))) (-.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (sin.f64 x)))
(+.f64 (-.f64 1 (-.f64 (.f64 (PI.f64) 2) x)) (-.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (sin.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(*.f64 1 (-.f64 x (sin.f64 x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) 1/2))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 2 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (sin.f64 x))) (*.f64 (-.f64 (PI.f64) x) 1/2)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) 1/2)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(*.f64 (-.f64 (sin.f64 x) x) -1)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 4 (.f64 (-.f64 x (sin.f64 x)) 1/4))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 4 (-.f64 (.f64 x 1/4) (*.f64 (sin.f64 x) 1/4)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) 1/4)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) 2))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 1/2 (-.f64 (.f64 2 (-.f64 (PI.f64) (sin.f64 x))) (*.f64 (-.f64 (PI.f64) x) 2)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(*.f64 -1 (-.f64 (sin.f64 x) x))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 2 (-.f64 (sin.f64 x) x)) -1/2)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) 1/8)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) 2)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 -2 (.f64 (-.f64 (sin.f64 x) x) 1/2))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 1/2) -2)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 1/4 (.f64 (-.f64 x (sin.f64 x)) 4))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 1/4 (-.f64 (.f64 x 4) (*.f64 (sin.f64 x) 4)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/4) 4)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 -1/2 (.f64 2 (-.f64 (sin.f64 x) x)))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(.f64 1/8 (.f64 (-.f64 x (sin.f64 x)) 8))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) 1)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 2)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 (sin.f64 x) x) -1)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) 4)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (*.f64 2 (-.f64 (sin.f64 x) x)) -2)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) 8)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 4) -4)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)) 16)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 x) x) 4)) -8)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 x (sin.f64 x)) 8))) 32)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4)) 4)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)))) 64)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (sin.f64 x) x) 4)) (neg.f64 (.f64 (-.f64 (sin.f64 x) x) 4))) 8)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(pow.f64 (-.f64 x (sin.f64 x)) 1)
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 x) x))
(+.f64 x (sin.f64 (neg.f64 x)))
(-.f64 x (sin.f64 x))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1 (sin.f64 x))
✓	3.2b	(-.f64 (+.f64 1 (sin.f64 x)) 1)
✓	13.8b	(-.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (sin.f64 x))

Compiler

Compiled 25 to 15 computations (40% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-4`
1462×	`rational.json-3`
1122×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	75	17
2	183	17
3	383	17
4	806	17
5	1980	17
6	4355	17
7	7146	17

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(+.f64 1 (sin.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

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

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

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1890×	`rational.json-simplify-35`
1336×	`rational.json-simplify-51`
1272×	`rational.json-simplify-52`
1134×	`rational.json-simplify-2`
1090×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	935
1	308	827
2	1105	815
3	2701	815
4	4686	815
5	6134	815
6	7405	815
7	7926	815

Stop Event

1×	node limit

Counts

103 → 102

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (sin.f64 (+.f64 x eps)) 3)
✓	2.3b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3)
	3.6b	(sin.f64 (+.f64 x eps))
✓	17.0b	(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))

Compiler

Compiled 40 to 18 computations (55% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))
0.0ms	x	@	0	(+.f64 (sin.f64 (+.f64 x eps)) 3)
0.0ms	eps	@	0	(+.f64 (sin.f64 (+.f64 x eps)) 3)
0.0ms	eps	@	0	(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))
0.0ms	eps	@	-inf	(+.f64 (sin.f64 (+.f64 x eps)) 3)

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`rational.json-simplify-35`
1268×	`exponential.json-3`
1268×	`rational.json-1`
1268×	`rational.json-2`
1268×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	91	49
2	213	49
3	480	49
4	1147	49
5	2532	49
6	4945	49

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs
(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3)
(+.f64 (sin.f64 (+.f64 x eps)) 3)

Outputs

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

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

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

simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-35`
1350×	`rational.json-simplify-51`
1332×	`rational.json-simplify-2`
996×	`rational.json-simplify-45`
938×	`rational.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	3932
1	586	3932
2	1350	3860
3	2829	3860
4	4815	3860
5	6347	3860
6	7269	3860

Stop Event

1×	node limit

Counts

184 → 206

Calls

Call 1

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

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.1b	(*.f64 (+.f64 (cos.f64 eps) -1) x)
✓	1.8b	(+.f64 (cos.f64 eps) -1)
✓	3.4b	(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series2.0ms (0%)

Counts

4 → 60

Calls

18 calls:

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

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`rational.json-1`
1266×	`rational.json-simplify-35`
1056×	`exponential.json-3`
1056×	`rational.json-2`
1056×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	106	64
2	224	64
3	456	64
4	925	64
5	2250	64
6	5064	64
7	7760	64

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

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

simplify184.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2266×	`rational.json-simplify-2`
1608×	`rational.json-simplify-35`
1044×	`rational.json-simplify-43`
994×	`rational.json-simplify-1`
768×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	2632
1	447	2632
2	1039	2632
3	2936	2632
4	4944	2632
5	5683	2632
6	6195	2632
7	6440	2632
8	7179	2632

Stop Event

1×	node limit

Counts

128 → 119

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 -1 (-.f64 1 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2))))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)))
(-.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(-.f64 0 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2)))
(/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) -2)
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (.f64 (sin.f64 eps) (.f64 2 (pow.f64 x 2))) -4)
(/.f64 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2))) 8)
(/.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2)) -1)
(/.f64 (.f64 2 (.f64 -4 (*.f64 (sin.f64 eps) (pow.f64 x 2)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2))))) (.f64 2 (.f64 2 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2)))))) 64)
(pow.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(neg.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(+.f64 0 (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 x (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x (.f64 (+.f64 (cos.f64 eps) -1) 1/2)))
(-.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(/.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8)))) 64)
(pow.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (*.f64 (neg.f64 (pow.f64 x 2)) 4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(/.f64 (.f64 2 (.f64 (neg.f64 (pow.f64 x 2)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 4))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 x 2)) 4))) (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 x 2)) 4)))) 64)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))

Outputs
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 eps (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) 1/12)))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 -1/240 (.f64 (pow.f64 x 2) (pow.f64 eps 5)))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5))) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) 1/12))))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5)))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5)))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/10080 (.f64 (pow.f64 x 2) (pow.f64 eps 7)))) (.f64 -1/240 (.f64 (pow.f64 x 2) (pow.f64 eps 5)))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 3) 1/12)) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5))) (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (pow.f64 x 2) (.f64 1/10080 (pow.f64 eps 7))))))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (.f64 1/10080 (pow.f64 eps 7)))) (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5)))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5))) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (.f64 1/10080 (pow.f64 eps 7))))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 x (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 1/24 (.f64 x (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 x (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 4) (.f64 x 1/24)))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 (pow.f64 eps 4) (.f64 x 1/24)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (.f64 1/24 (.f64 x (pow.f64 eps 4))) (.f64 -1/720 (.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (.f64 x (.f64 1/24 (pow.f64 eps 4))) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 (pow.f64 eps 4) (.f64 x 1/24)) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 x 1/24)) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(+.f64 (.f64 -1/720 (.f64 x (pow.f64 eps 6))) (+.f64 (+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 1/24 (.f64 x (pow.f64 eps 4)))) (.f64 1/40320 (.f64 x (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (+.f64 (.f64 x (.f64 1/24 (pow.f64 eps 4))) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))) (.f64 x (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 x (.f64 1/40320 (pow.f64 eps 8))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 x 1/24)) (.f64 x (.f64 -1/720 (pow.f64 eps 6))))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 x 1/24)) (+.f64 (.f64 x (.f64 -1/720 (pow.f64 eps 6))) (.f64 x (.f64 1/40320 (pow.f64 eps 8))))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(+.f64 -1 (-.f64 1 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/4)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(-.f64 0 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) -2)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 x 2))) 2)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -2)) 4)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (.f64 2 (pow.f64 x 2))) -4)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2))) 8)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2)) -1)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 2 (.f64 -4 (*.f64 (sin.f64 eps) (pow.f64 x 2)))) 16)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (.f64 2 (.f64 2 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2))))) 32)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2))))) (.f64 2 (.f64 2 (.f64 -4 (.f64 (sin.f64 eps) (pow.f64 x 2)))))) 64)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(pow.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(neg.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) 1/2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (.f64 2 (cos.f64 eps)) -2) 1/2)
(.f64 1/2 (+.f64 -2 (.f64 2 (cos.f64 eps))))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 eps)) -2))
(.f64 1/2 (+.f64 -2 (.f64 2 (cos.f64 eps))))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 0 (*.f64 x (+.f64 (cos.f64 eps) -1)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 x (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x (.f64 (+.f64 (cos.f64 eps) -1) 1/2)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 4)) 4)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8) 8)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 8)) 16)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8))) 32)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) 8)))) 64)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(pow.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (neg.f64 (pow.f64 x 2)) 4) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (neg.f64 (pow.f64 x 2)) 4)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 4))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 x 2)) 4))) (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 x 2)) 4)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))

eval152.0ms (0.7%)

Compiler: Compiled 10023 to 5789 computations (42.2% saved)

prune123.0ms (0.6%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	626	11	637
Fresh	5	13	18
Picked	0	1	1
Done	3	4	7
Total	634	29	663

Error

11.1b

Counts

663 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(-.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) 1)
	59.8b	(-.f64 (-.f64 1 1) (sin.f64 x))
▶	42.9b	(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
	61.1b	(-.f64 (+.f64 (+.f64 (sin.f64 x) 3) -3) (sin.f64 x))
	41.6b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) 3) -3) (sin.f64 x))
	35.4b	(-.f64 (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (sin.f64 x))
	34.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	59.5b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
	59.5b	(-.f64 (sin.f64 (-.f64 (PI.f64) x)) (sin.f64 x))
✓	33.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	34.8b	(-.f64 (sin.f64 eps) (sin.f64 x))
	35.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)) (*.f64 x (cos.f64 eps)))
	60.6b	(+.f64 (+.f64 (*.f64 (cos.f64 x) eps) 1) -1)
▶	41.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x))) -3)
	41.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -3 (sin.f64 x))) 3)
	35.2b	(+.f64 (+.f64 3 (-.f64 -3 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
	33.5b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
✓	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	29.6b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
✓	29.5b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
	33.5b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	33.6b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))))
	60.6b	(+.f64 -2 (-.f64 1 (-.f64 -1 (*.f64 (cos.f64 x) eps))))
▶	61.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.4b	(*.f64 (cos.f64 x) eps)
✓	26.8b	(sin.f64 eps)
	61.7b	x
	46.8b	eps
	61.3b	0

Compiler

Compiled 673 to 504 computations (25.1% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6)
	3.4b	(*.f64 (sin.f64 eps) (pow.f64 x 2))
✓	4.5b	(+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))))
✓	9.4b	(.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))

Compiler

Compiled 128 to 80 computations (37.5% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`rational.json-1`
1694×	`rational.json-2`
1694×	`rational.json-3`
1388×	`rational.json-simplify-35`
1036×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	113
1	143	113
2	285	109
3	598	109
4	1265	109
5	2838	109
6	5047	109
7	7320	109

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs

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

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

(+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6)

Outputs

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

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

simplify327.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2150×	`rational.json-simplify-2`
1784×	`rational.json-simplify-35`
1704×	`rational.json-simplify-1`
1102×	`rational.json-simplify-51`
1068×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	4464
1	340	4464
2	826	4464
3	1745	4404
4	3642	4404
5	4700	4404
6	5022	4404
7	5288	4404
8	5970	4404
9	6347	4404
10	7336	4404
11	7608	4404
12	7990	4404

Stop Event

1×	node limit

Counts

110 → 110

Calls

Call 1

Inputs
(.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (.f64 1/4320 (.f64 (pow.f64 eps 6) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/241920 (.f64 (pow.f64 eps 8) (pow.f64 x 3))) (+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (.f64 1/4320 (.f64 (pow.f64 eps 6) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(sin.f64 eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(*.f64 1/12 (pow.f64 eps 2))
(+.f64 (.f64 -1/144 (pow.f64 eps 4)) (.f64 1/12 (pow.f64 eps 2)))
(+.f64 (.f64 -1/144 (pow.f64 eps 4)) (+.f64 (.f64 1/4320 (pow.f64 eps 6)) (*.f64 1/12 (pow.f64 eps 2))))
(+.f64 (.f64 -1/241920 (pow.f64 eps 8)) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (+.f64 (.f64 1/4320 (pow.f64 eps 6)) (.f64 1/12 (pow.f64 eps 2)))))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 0)
(+.f64 0 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 1/2)) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 1/2)))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 0)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 1)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) 2)) 2)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4)))))) 64)
(pow.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1/2))
(.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 1)
(.f64 1 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) 2)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4))))) 64)
(pow.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 0)
(.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 1)
(.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1/2))
(.f64 1 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6))
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4))
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 2))
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4) 4)
(/.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4))))) 64)
(pow.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1)

Outputs
(.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/12 (pow.f64 eps 2)))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 3) -1/144)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 x 3) (.f64 -1/144 (pow.f64 eps 4))))
(.f64 (pow.f64 x 3) (+.f64 (.f64 1/12 (pow.f64 eps 2)) (*.f64 -1/144 (pow.f64 eps 4))))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (.f64 1/4320 (.f64 (pow.f64 eps 6) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 1/4320 (.f64 (pow.f64 x 3) (pow.f64 eps 6))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 3) -1/144))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/144 (pow.f64 eps 4))) (.f64 1/4320 (.f64 (pow.f64 x 3) (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 1/12 (pow.f64 eps 2))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (*.f64 1/4320 (pow.f64 eps 6)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (*.f64 1/4320 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/241920 (.f64 (pow.f64 eps 8) (pow.f64 x 3))) (+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (.f64 1/4320 (.f64 (pow.f64 eps 6) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (+.f64 (.f64 1/4320 (.f64 (pow.f64 x 3) (pow.f64 eps 6))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 3) -1/144)))) (.f64 (pow.f64 eps 8) (.f64 (pow.f64 x 3) -1/241920)))
(+.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/4320 (.f64 (pow.f64 x 3) (pow.f64 eps 6)))) (+.f64 (.f64 -1/241920 (.f64 (pow.f64 x 3) (pow.f64 eps 8))) (.f64 (pow.f64 x 3) (.f64 -1/144 (pow.f64 eps 4)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/144 (pow.f64 eps 4))) (.f64 1/4320 (.f64 (pow.f64 x 3) (pow.f64 eps 6)))) (.f64 -1/241920 (.f64 (pow.f64 x 3) (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/12 (pow.f64 eps 2)) (.f64 -1/144 (pow.f64 eps 4)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/4320 (pow.f64 eps 6)) (.f64 -1/241920 (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/12 (pow.f64 eps 2)) (.f64 1/4320 (pow.f64 eps 6)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (.f64 -1/241920 (pow.f64 eps 8)))))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 1/12 (pow.f64 eps 2))) (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 1/12 (pow.f64 eps 2))) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6))))
(+.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 4) (pow.f64 x 3))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (+.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 3) -1/144))) (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 -1/144 (pow.f64 eps 4))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)) (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 -1/144 (pow.f64 eps 4))) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/12 (pow.f64 x 2)) 1/6)))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/12 (pow.f64 eps 2)) (.f64 -1/144 (pow.f64 eps 4)))) (+.f64 (.f64 eps (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/12 (pow.f64 x 2)) 1/6))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(sin.f64 eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps)) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps)) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps)))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))))
(*.f64 1/12 (pow.f64 eps 2))
(+.f64 (.f64 -1/144 (pow.f64 eps 4)) (.f64 1/12 (pow.f64 eps 2)))
(+.f64 (.f64 1/12 (pow.f64 eps 2)) (.f64 -1/144 (pow.f64 eps 4)))
(+.f64 (.f64 -1/144 (pow.f64 eps 4)) (+.f64 (.f64 1/4320 (pow.f64 eps 6)) (*.f64 1/12 (pow.f64 eps 2))))
(+.f64 (.f64 -1/144 (pow.f64 eps 4)) (+.f64 (.f64 1/12 (pow.f64 eps 2)) (*.f64 1/4320 (pow.f64 eps 6))))
(+.f64 (.f64 1/12 (pow.f64 eps 2)) (+.f64 (.f64 1/4320 (pow.f64 eps 6)) (*.f64 -1/144 (pow.f64 eps 4))))
(+.f64 (.f64 1/12 (pow.f64 eps 2)) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (*.f64 1/4320 (pow.f64 eps 6))))
(+.f64 (.f64 -1/241920 (pow.f64 eps 8)) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (+.f64 (.f64 1/4320 (pow.f64 eps 6)) (.f64 1/12 (pow.f64 eps 2)))))
(+.f64 (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (+.f64 (.f64 1/12 (pow.f64 eps 2)) (.f64 1/4320 (pow.f64 eps 6)))) (.f64 -1/241920 (pow.f64 eps 8)))
(+.f64 (.f64 1/4320 (pow.f64 eps 6)) (+.f64 (+.f64 (.f64 1/12 (pow.f64 eps 2)) (.f64 -1/144 (pow.f64 eps 4))) (.f64 -1/241920 (pow.f64 eps 8))))
(+.f64 (.f64 1/12 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (.f64 1/4320 (pow.f64 eps 6))) (.f64 -1/241920 (pow.f64 eps 8))))
(+.f64 (.f64 1/12 (pow.f64 eps 2)) (+.f64 (.f64 -1/241920 (pow.f64 eps 8)) (+.f64 (.f64 -1/144 (pow.f64 eps 4)) (.f64 1/4320 (pow.f64 eps 6)))))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 0)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(+.f64 0 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 1/2)) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 1/2)))
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 0)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 1)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) 2)) 2)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) 4)) 4)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4))) 8)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) 4)))) 16)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4))))) 32)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (.f64 (pow.f64 x 3) 4)))))) 64)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(pow.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) 1)
(.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 0)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1/2))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 1)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 1 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))) 1/2)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4) 1/4)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1/2) 2)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4) 4)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) 2)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4) 4)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4)) 8)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) 4))) 16)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4)))) 32)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 4))))) 64)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(pow.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) 1)
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 0)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 1)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1/2))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 1 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 2) 1/2)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 4 (/.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4) 1/4)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 1/2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 2))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1/2) 2)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 1/4 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4))
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4) 4)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 2) 2)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4) 4)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4)) 8)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4))) 16)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 4)))) 32)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) 4))))) 64)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)
(pow.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) 1)
(+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	1.8b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)
✓	0.2b	(-.f64 (sin.f64 eps) (sin.f64 x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational.json-1`
1568×	`rational.json-2`
1568×	`rational.json-3`
1100×	`rational.json-simplify-35`
958×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	56	15
2	143	15
3	318	15
4	646	15
5	1544	15
6	4201	15
7	7076	15

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify178.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2282×	`rational.json-simplify-1`
1652×	`rational.json-simplify-35`
1378×	`rational.json-simplify-2`
1062×	`rational.json-simplify-41`
760×	`rational.json-simplify-26`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	127	1068
1	271	1062
2	548	1062
3	1541	1062
4	2791	1062
5	4147	1062
6	4689	1062
7	5638	890
8	6096	890
9	6430	890
10	6781	890

Stop Event

1×	node limit

Counts

52 → 73

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 3 (sin.f64 x))
✓	0.1b	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x)))
✓	1.3b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x))) -3)
	3.6b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x))) -3)
0.0ms	x	@	0	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x)))
0.0ms	x	@	-inf	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x)))
0.0ms	x	@	inf	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x)))
0.0ms	eps	@	0	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`rational.json-simplify-35`
1392×	`exponential.json-3`
1392×	`rational.json-1`
1392×	`rational.json-2`
1392×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	89	71
2	193	71
3	428	71
4	940	71
5	2519	71
6	5739	71

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x))) -3)
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x)))
(-.f64 3 (sin.f64 x))

Outputs

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

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

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

simplify282.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2074×	`rational.json-simplify-1`
1874×	`rational.json-simplify-35`
1422×	`rational.json-simplify-2`
1292×	`rational.json-simplify-51`
1110×	`rational.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3506
1	496	3460
2	1181	3430
3	2263	3430
4	3602	3430
5	4290	3430
6	4972	3430
7	5993	3430
8	6554	3430
9	6917	3430
10	7366	3430
11	7870	3430

Stop Event

1×	node limit

Counts

134 → 169

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 eps) 3)
	0.1b	(*.f64 (cos.f64 eps) x)
✓	0.5b	(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
✓	1.6b	(+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3)

Compiler

Compiled 54 to 24 computations (55.6% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
0.0ms	eps	@	0	(+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3)
0.0ms	eps	@	0	(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
0.0ms	eps	@	inf	(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
0.0ms	eps	@	inf	(+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3)

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`exponential.json-3`
1482×	`rational.json-1`
1482×	`rational.json-2`
1482×	`rational.json-4`
1482×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	108	87
2	262	87
3	661	63
4	1799	63
5	3918	63
6	6341	63

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3)
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
(+.f64 (sin.f64 eps) 3)

Outputs

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

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

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

simplify194.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1920×	`rational.json-simplify-1`
1700×	`rational.json-simplify-35`
1108×	`rational.json-simplify-52`
930×	`rational.json-simplify-41`
832×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	4182
1	471	4178
2	1138	4130
3	3104	4130
4	4344	4130
5	5050	4130
6	5691	4130
7	6462	4130
8	7107	4130

Stop Event

1×	node limit

Counts

162 → 164

Calls

Call 1

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

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

eval198.0ms (0.9%)

Compiler: Compiled 14180 to 8618 computations (39.2% saved)

prune138.0ms (0.6%)

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	723	14	737
Fresh	2	17	19
Picked	0	1	1
Done	2	7	9
Total	727	39	766

Error

11.1b

Counts

766 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(-.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) 1)
✓	42.9b	(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) 3)) -3) (sin.f64 x))
	41.8b	(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -3) (-.f64 3 (+.f64 (sin.f64 x) -1))) 1)
	61.1b	(-.f64 (+.f64 (+.f64 (sin.f64 x) 3) -3) (sin.f64 x))
	41.6b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) 3) -3) (sin.f64 x))
	34.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	61.6b	(-.f64 (*.f64 (cos.f64 eps) x) (sin.f64 x))
	59.5b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
	59.5b	(-.f64 (sin.f64 (-.f64 (PI.f64) x)) (sin.f64 x))
✓	33.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	34.8b	(-.f64 (sin.f64 eps) (sin.f64 x))
	35.2b	(+.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (sin.f64 x)) (*.f64 x (cos.f64 eps)))
	43.1b	(+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) 3) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))) -3)
	42.4b	(+.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) 3)) -3)
	60.6b	(+.f64 (+.f64 (*.f64 (cos.f64 x) eps) 1) -1)
✓	41.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x))) -3)
	41.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -3 (sin.f64 x))) 3)
	41.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (sin.f64 x) -4)))) -3)
	41.5b	(+.f64 (+.f64 (sin.f64 eps) (-.f64 3 (sin.f64 x))) -3)
	41.3b	(+.f64 (+.f64 (sin.f64 eps) 3) -3)
	35.2b	(+.f64 (+.f64 3 (-.f64 -3 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
	60.9b	(+.f64 (+.f64 3 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))) -3)
	60.8b	(+.f64 (+.f64 3 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) -3)
	33.5b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
✓	27.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	29.6b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6)) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (sin.f64 eps))))
✓	29.5b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
	33.5b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	42.9b	(+.f64 (*.f64 x (cos.f64 eps)) (+.f64 (+.f64 (sin.f64 eps) (-.f64 3 (sin.f64 x))) -3))
	33.6b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))))
	36.4b	(+.f64 (sin.f64 eps) (neg.f64 x))
	60.6b	(+.f64 -2 (-.f64 1 (-.f64 -1 (*.f64 (cos.f64 x) eps))))
	41.5b	(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 x) (-.f64 -1 (sin.f64 eps)))))
✓	33.4b	(*.f64 (cos.f64 x) eps)
✓	26.8b	(sin.f64 eps)
	59.8b	(neg.f64 (sin.f64 x))
	61.7b	x
	46.8b	eps
	61.3b	0

Compiler

Compiled 508 to 389 computations (23.4% saved)

regimes189.0ms (0.8%)

Counts

62 → 3

Calls

Call 1

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

Outputs

(-.f64 (sin.f64 eps) (sin.f64 x))

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

(-.f64 (sin.f64 eps) (sin.f64 x))

Calls

3 calls:

68.0ms	eps
65.0ms	x
41.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.0b	3	`x`
12.7b	3	`eps`
13.2b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 765 to 411 computations (46.3% saved)

bsearch65.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.027205059446197e-6	0.0004045632155828302
35.0ms	-3213.461940775962	-0.0008077213492979612

Results

31.0ms	78×	body	1024	valid
22.0ms	152×	body	256	valid
6.0ms	23×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 638 to 474 computations (25.7% saved)

regimes180.0ms (0.8%)

Counts

59 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	eps
62.0ms	x
40.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.0b	3	`x`
12.7b	3	`eps`
13.2b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 679 to 357 computations (47.4% saved)

bsearch66.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.027205059446197e-6	0.0004045632155828302
36.0ms	-3213.461940775962	-0.0008077213492979612

Results

27.0ms	71×	body	1024	valid
22.0ms	150×	body	256	valid
7.0ms	11×	body	2048	valid
6.0ms	24×	body	512	valid

Compiler

Compiled 494 to 378 computations (23.5% saved)

regimes157.0ms (0.7%)

Counts

51 → 3

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	x
54.0ms	eps
36.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.1b	3	`x`
12.9b	3	`eps`
13.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 499 to 248 computations (50.3% saved)

bsearch60.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.027205059446197e-6	0.0004045632155828302
35.0ms	-3213.461940775962	-0.0008077213492979612

Results

23.0ms	163×	body	256	valid
20.0ms	53×	body	1024	valid
10.0ms	35×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 398 to 298 computations (25.1% saved)

regimes130.0ms (0.6%)

Counts

43 → 3

Calls

Call 1

Inputs
0
eps
x
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 x (sin.f64 x))
(+.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (+.f64 (sin.f64 eps) 3) -3)
(-.f64 (-.f64 1 1) (sin.f64 x))
(-.f64 (-.f64 1 (neg.f64 (sin.f64 eps))) 1)
(+.f64 (+.f64 (*.f64 (cos.f64 x) eps) 1) -1)
(+.f64 -2 (-.f64 1 (-.f64 -1 (*.f64 (cos.f64 x) eps))))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) x) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (+.f64 (sin.f64 eps) (-.f64 3 (sin.f64 x))) -3)
(-.f64 (+.f64 (+.f64 (sin.f64 eps) 3) -3) (sin.f64 x))
(-.f64 (+.f64 (+.f64 (sin.f64 x) 3) -3) (sin.f64 x))
(-.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 eps) 1) 1) (sin.f64 x))
(+.f64 -3 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 -2 (-.f64 1 (+.f64 (sin.f64 x) (-.f64 -1 (sin.f64 eps)))))
(+.f64 (+.f64 1 (-.f64 -1 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(+.f64 (+.f64 3 (-.f64 -3 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -3 (sin.f64 x))) 3)
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 -2 (sin.f64 x))) 2)
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 3 (sin.f64 x))) -3)
(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 (sin.f64 (+.f64 x eps))))
(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))
(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) 3)) -3)
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (sin.f64 x) -4)))) -3)
(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) -3) (-.f64 3 (+.f64 (sin.f64 x) -1))) 1)
(-.f64 (sin.f64 (-.f64 (PI.f64) x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))

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

Calls

3 calls:

46.0ms	x
46.0ms	eps
30.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.4b	3	`x`
13.1b	3	`eps`
13.6b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 373 to 184 computations (50.7% saved)

bsearch62.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.027205059446197e-6	0.0004045632155828302
34.0ms	-3213.461940775962	-0.0008077213492979612

Results

26.0ms	67×	body	1024	valid
23.0ms	163×	body	256	valid
6.0ms	9×	body	2048	valid
5.0ms	17×	body	512	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes41.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
19.0ms	eps

Results

Error	Segments	Branch
14.5b	3	`x`
13.3b	3	`eps`

Compiler

Compiled 72 to 42 computations (41.7% saved)

bsearch64.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.027205059446197e-6	0.0004045632155828302
35.0ms	-3213.461940775962	-0.0008077213492979612

Results

28.0ms	72×	body	1024	valid
23.0ms	154×	body	256	valid
6.0ms	22×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 206 to 154 computations (25.2% saved)

regimes9.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
0
eps
x
(sin.f64 eps)
(neg.f64 (sin.f64 x))

Outputs
(sin.f64 eps)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
26.8b	1	`x`
26.8b	1	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0%)

Accuracy

Total -15.7b remaining (-33.5%)

Threshold costs -15.7b (-33.5%)

Counts

3 → 1

Calls

Call 1

Inputs
0
eps
x

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
46.8b	1	`x`
46.8b	1	`eps`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	430

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -7566047373982433/72057594037927936) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3602879701896397/144115188075855872) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -6456360425798343/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 6935975771714791/147573952589676412928) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5902958103587057/73786976294838206464) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 5902958103587057/73786976294838206464) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Outputs
(if (<=.f64 eps -7566047373982433/72057594037927936) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/6 (pow.f64 eps 3))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3602879701896397/144115188075855872) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7378697629483821/18446744073709551616) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -6456360425798343/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 6935975771714791/147573952589676412928) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5902958103587057/73786976294838206464) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 5902958103587057/73786976294838206464) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Compiler

Compiled 172 to 105 computations (39% saved)

soundness193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-35`
1304×	`rational.json-simplify-51`
1150×	`rational.json-simplify-2`
1050×	`rational.json-simplify-1`
592×	`rational.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2758
1	467	2726
2	1172	2686
3	2663	2686
4	4939	2686
5	6281	2686
6	6863	2686
7	7317	2686
8	7609	2686

Stop Event

1×	node limit

Compiler

Compiled 430 to 256 computations (40.5% saved)

end58.0ms (0.3%)

Compiler: Compiled 158 to 74 computations (53.2% saved)