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)

sample16.4s (58.1%)

Results

8.4s	3609×	body	1024	valid
5.6s	1279×	body	2048	valid
2.0s	1422×	body	512	valid
509.0ms	1945×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess88.0ms (0.3%)

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)

simplify109.0ms (0.4%)

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

36.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.8b	(-.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
✓	1.4b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	6.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite143.0ms (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))))))))

simplify219.0ms (0.8%)

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))

eval80.0ms (0.3%)

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

prune41.0ms (0.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	129	16	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	17	146

Error

16.7b

Counts

146 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
	52.0b	(-.f64 (+.f64 (+.f64 (sin.f64 x) (.f64 eps (cos.f64 x))) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)))) (sin.f64 x))
	38.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
▶	52.3b	(-.f64 (+.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 x))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	45.8b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 (sin.f64 (+.f64 x eps))))
	45.8b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
	45.8b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)
▶	30.6b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	33.9b	(+.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)))))
▶	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	34.0b	(+.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))))))
	34.0b	(+.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)))))
	33.9b	(+.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)))))
▶	33.3b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 543 to 386 computations (28.9% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

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

3 → 15

Calls

15 calls:

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

rewrite184.0ms (0.7%)

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	55
1	85	55
2	193	55
3	391	55
4	815	55
5	1951	55
6	4554	55
7	7066	55

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

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 (+.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)))))

simplify394.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2190×	`rational.json-simplify-2`
1578×	`rational.json-simplify-35`
1068×	`rational.json-simplify-51`
1064×	`rational.json-simplify-1`
978×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1716
1	325	1716
2	811	1716
3	1893	1686
4	3991	1686
5	5124	1686
6	5453	1686
7	5985	1686
8	6838	1686
9	7491	1686

Stop Event

1×	node limit

Counts

74 → 108

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 (.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 (+.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 1/24 (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 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (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 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (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 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) x))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 x (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4))) x) (.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) x))
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 eps (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (+.f64 eps (.f64 (pow.f64 eps 2) (.f64 -1/2 x))) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (*.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)))))
(+.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 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 -1/6 (pow.f64 eps 3))) (.f64 1/24 (*.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4))) x) (+.f64 eps (.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 x (+.f64 (cos.f64 eps) -1))
(-.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 (+.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 x (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.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 2 (+.f64 (.f64 x (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.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)))

localize5.0ms (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)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite121.0ms (0.4%)

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)))))

simplify394.0ms (1.4%)

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))

localize102.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 -1 (sin.f64 x))
✓	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	2.0b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 1 (sin.f64 (+.f64 x eps))))
	6.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`rational.json-1`
1818×	`rational.json-2`
1324×	`rational.json-simplify-35`
1154×	`exponential.json-3`
1154×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	100	61
2	219	61
3	464	55
4	1015	53
5	2210	53
6	4496	53
7	7503	53

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

simplify474.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2260×	`rational.json-simplify-51`
1700×	`rational.json-simplify-35`
1162×	`rational.json-simplify-2`
946×	`rational.json-simplify-1`
910×	`rational.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3181
1	525	3157
2	1220	2933
3	2753	2933
4	3714	2933
5	4359	2933
6	5485	2933
7	6154	2933
8	6807	2933

Stop Event

1×	node limit

Counts

145 → 178

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
✓	0.0b	(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
	0.1b	(*.f64 (cos.f64 x) eps)
✓	4.1b	(*.f64 (pow.f64 eps 2) (sin.f64 x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series4.0ms (0%)

Counts

3 → 19

Calls

18 calls:

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

rewrite209.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-1`
1248×	`rational.json-simplify-35`
1086×	`exponential.json-3`
1086×	`rational.json-2`
1086×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	98	79
2	216	79
3	453	79
4	920	79
5	2239	79
6	5058	79
7	7798	79

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

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

simplify191.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2056×	`rational.json-simplify-51`
1762×	`rational.json-simplify-35`
1440×	`rational.json-simplify-2`
902×	`rational.json-simplify-1`
752×	`rational.json-simplify-43`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	161	2370
1	372	2328
2	894	2244
3	2630	2244
4	3811	2244
5	4432	2244
6	4803	2244
7	5598	2244
8	6044	2220

Stop Event

1×	node limit

Counts

72 → 108

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
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 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(-.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (sin.f64 x))) 2)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 4)) 4)
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8)))) 64)
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(+.f64 -1 (-.f64 1 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/4)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/4)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(-.f64 0 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) -2)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 1)
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (sin.f64 x))) -4)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -2)) 4)
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4) 8)
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) -1)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4)))) 64)
(pow.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 1)
(neg.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1/2))
(.f64 2 (+.f64 (.f64 eps (.f64 (cos.f64 x) 1/2)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/4))))
(.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/4)) (.f64 eps (*.f64 (cos.f64 x) 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(.f64 1/2 (+.f64 (.f64 eps (.f64 2 (cos.f64 x))) (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x)))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (.f64 eps (.f64 2 (cos.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 4))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8)))) 64)
(pow.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1)

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) 1/120)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (pow.f64 eps 2) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) 1/120)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 7) -1/5040)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 1/120 (pow.f64 x 5))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 (.f64 (pow.f64 eps 2) x) -1/2)
(.f64 (pow.f64 eps 2) (.f64 x -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 (.f64 (pow.f64 eps 2) x) -1/2) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 3) 1/12) (*.f64 x -1/2)))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240)) (+.f64 (.f64 (.f64 (pow.f64 eps 2) x) -1/2) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 3) 1/12))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 (pow.f64 eps 2) x) -1/2) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 7) 1/10080)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (+.f64 (.f64 (pow.f64 x 7) (.f64 (pow.f64 eps 2) 1/10080)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 7) 1/10080) (.f64 (pow.f64 x 3) 1/12))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 5) -1/240))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 7) 1/10080))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 x -1/2))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 (pow.f64 x 7) 1/10080))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 7) 1/10080) (+.f64 (.f64 (pow.f64 x 5) -1/240) (.f64 (pow.f64 x 3) 1/12)))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 eps (.f64 (.f64 (pow.f64 eps 2) x) -1/2))
(+.f64 eps (.f64 (pow.f64 eps 2) (.f64 x -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 2) -1/2)) (.f64 (.f64 (pow.f64 eps 2) x) -1/2)))
(+.f64 eps (.f64 -1/2 (+.f64 (.f64 (pow.f64 eps 2) x) (*.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 eps (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 eps (.f64 (pow.f64 x 2) -1/2))) (.f64 (.f64 (pow.f64 eps 2) x) -1/2)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)))))
(+.f64 eps (+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 x 3) 1/12) (*.f64 x -1/2)))))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12))) eps))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/12))) (+.f64 eps (.f64 eps (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 0 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (sin.f64 x))) 2)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 4)) 4)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8) 8)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 8)) 16)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8))) 32)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 8)))) 64)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 -1 (-.f64 1 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/4)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/4)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) -2)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 1)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 2)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) (sin.f64 x))) -4)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -2)) 4)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4) 8)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) -1)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4)) 16)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4))) 32)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) 4)))) 64)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(pow.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 1)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 0)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1/2))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 2 (+.f64 (.f64 eps (.f64 (cos.f64 x) 1/2)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/4))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/4)) (.f64 eps (*.f64 (cos.f64 x) 1/2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))) 1/2)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 4))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 4) 1/4)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 1/2 (+.f64 (.f64 eps (.f64 2 (cos.f64 x))) (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (.f64 eps (.f64 2 (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1/2) 2)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 4))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 4) 4)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x)))) 2)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 4) 4)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8) 8)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 8)) 16)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8))) 32)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) 8)))) 64)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(pow.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))

localize113.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/6 (pow.f64 eps 3))
✓	2.0b	(-.f64 (+.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 x))
✓	4.1b	(*.f64 (sin.f64 x) (pow.f64 eps 2))
✓	6.5b	(+.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)))))

Compiler

Compiled 120 to 74 computations (38.3% saved)

series6.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(-.f64 (+.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 x))
1.0ms	x	@	inf	(+.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)))))
0.0ms	x	@	0	(+.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)))))
0.0ms	eps	@	inf	(+.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)))))
0.0ms	x	@	-inf	(+.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)))))

rewrite535.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`exponential.json-3`
1428×	`rational.json-1`
1428×	`rational.json-2`
1428×	`rational.json-4`
1428×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	144
1	147	144
2	311	144
3	675	144
4	1577	144
5	3640	144
6	6362	144

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify262.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-26`
1036×	`rational.json-simplify-2`
1014×	`rational.json-simplify-51`
976×	`rational.json-simplify-35`
948×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	8420
1	453	8344
2	1024	8276
3	2745	8240
4	4908	8240
5	6615	8240
6	7709	8240

Stop Event

1×	node limit

Counts

176 → 128

Calls

Call 1

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

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

eval1.2s (4.2%)

Compiler: Compiled 13075 to 8069 computations (38.3% saved)

prune339.0ms (1.2%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	630	16	646
Fresh	4	7	11
Picked	1	0	1
Done	1	4	5
Total	636	27	663

Error

16.4b

Counts

663 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
	45.9b	(-.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (sin.f64 (+.f64 x eps))) -1)
	38.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.2b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 (sin.f64 eps) 1))
	61.2b	(+.f64 (-.f64 -1 (neg.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))))))) (-.f64 1 (sin.f64 x)))
	45.8b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
	47.4b	(+.f64 (-.f64 -1 x) (+.f64 1 (sin.f64 (+.f64 x eps))))
▶	45.8b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))
	45.8b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)
	61.1b	(+.f64 (+.f64 1 (+.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)))))) -1)
	45.8b	(+.f64 (+.f64 -2 (-.f64 1 (sin.f64 x))) (+.f64 1 (sin.f64 (+.f64 x eps))))
	34.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) 1/24)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
	33.9b	(+.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)))))
✓	30.6b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	30.6b	(+.f64 (*.f64 (+.f64 -2 (-.f64 1 (neg.f64 (cos.f64 eps)))) x) (sin.f64 eps))
	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 -1 (-.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))))
✓	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	34.0b	(+.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))))))
	46.2b	(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 x eps))))
▶	61.6b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
▶	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	33.3b	(*.f64 (cos.f64 x) eps)
▶	29.2b	(sin.f64 eps)
	44.3b	eps

Compiler

Compiled 740 to 561 computations (24.2% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

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)

localize109.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational.json-1`
1706×	`rational.json-2`
1706×	`rational.json-3`
1008×	`exponential.json-3`
1008×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	76	23
2	171	23
3	343	23
4	666	23
5	1567	23
6	3848	23
7	7014	23

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify219.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2268×	`rational.json-simplify-2`
1644×	`rational.json-simplify-35`
1098×	`rational.json-simplify-1`
1070×	`rational.json-simplify-53`
912×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1130
1	184	1130
2	396	1082
3	942	1070
4	2652	1070
5	4129	1070
6	5076	1070
7	5805	1070
8	6701	1070
9	7151	1070

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 -2 (-.f64 1 (neg.f64 (cos.f64 eps)))) x) (sin.f64 eps))
✓	0.1b	(*.f64 (+.f64 -2 (-.f64 1 (neg.f64 (cos.f64 eps)))) x)
✓	0.5b	(-.f64 1 (neg.f64 (cos.f64 eps)))
✓	2.0b	(+.f64 -2 (-.f64 1 (neg.f64 (cos.f64 eps))))

Compiler

Compiled 46 to 24 computations (47.8% saved)

series2.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`rational.json-simplify-35`
1200×	`exponential.json-3`
1200×	`rational.json-1`
1200×	`rational.json-2`
1200×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	107	84
2	238	84
3	504	66
4	1065	66
5	2607	66
6	5572	66

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

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

simplify344.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2046×	`rational.json-simplify-35`
1960×	`rational.json-simplify-2`
1600×	`rational.json-simplify-1`
906×	`rational.json-simplify-53`
610×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	3105
1	475	3105
2	1164	3105
3	2575	3105
4	3600	3105
5	4572	3105
6	5069	3105
7	5739	3105
8	6174	3105
9	6448	3105
10	6673	3105
11	7157	3105
12	7764	3105

Stop Event

1×	node limit

Counts

165 → 140

Calls

Call 1

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	0.6b	(+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2)))
	6.5b	(sin.f64 (+.f64 x eps))
✓	11.2b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))

Compiler

Compiled 89 to 57 computations (36% saved)

series76.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
74.0ms	x	@	-inf	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))
1.0ms	x	@	inf	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))
0.0ms	eps	@	inf	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))
0.0ms	x	@	0	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))
0.0ms	eps	@	0	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 (+.f64 x eps))))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`rational.json-simplify-35`
1374×	`exponential.json-3`
1374×	`rational.json-1`
1374×	`rational.json-2`
1374×	`rational.json-4`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	124
1	135	124
2	297	124
3	689	118
4	1638	116
5	3645	116
6	5870	112

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs

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

(+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2)))

Outputs

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

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

simplify528.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1762×	`rational.json-simplify-35`
1668×	`rational.json-simplify-42`
1532×	`rational.json-simplify-1`
1340×	`rational.json-simplify-51`
920×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	144	3191
1	304	3039
2	732	2893
3	1745	2893
4	2695	2861
5	3314	2861
6	4169	2861
7	4521	2861
8	4864	2861
9	5175	2861
10	6161	2861
11	6864	2861

Stop Event

1×	node limit

Counts

75 → 93

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

eval568.0ms (2%)

Compiler: Compiled 9988 to 6784 computations (32.1% saved)

prune198.0ms (0.7%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	459	6	465
Fresh	1	17	18
Picked	1	0	1
Done	1	7	8
Total	462	30	492

Error

16.4b

Counts

492 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
	45.9b	(-.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (sin.f64 (+.f64 x eps))) -1)
	38.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	45.2b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 (sin.f64 eps) 1))
	61.2b	(+.f64 (-.f64 -1 (neg.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))))))) (-.f64 1 (sin.f64 x)))
	45.8b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
	47.4b	(+.f64 (-.f64 -1 x) (+.f64 1 (sin.f64 (+.f64 x eps))))
	45.2b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 (sin.f64 eps) 1))
	61.2b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 1 (sin.f64 x)))
	34.0b	(+.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 (pow.f64 eps 4) 1/24)) (*.f64 eps (cos.f64 x))))
	45.8b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)
▶	45.8b	(+.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 1 (sin.f64 x)) -2) (+.f64 -1 (/.f64 (+.f64 1 (sin.f64 x)) -2)))) (+.f64 1 (sin.f64 (+.f64 x eps))))
	61.1b	(+.f64 (+.f64 1 (+.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)))))) -1)
▶	45.8b	(+.f64 (+.f64 -2 (-.f64 1 (sin.f64 x))) (+.f64 1 (sin.f64 (+.f64 x eps))))
	34.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) 1/24)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
	33.9b	(+.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)))))
▶	30.6b	(+.f64 (*.f64 (-.f64 (+.f64 -2 (+.f64 (cos.f64 eps) 2)) 1) x) (sin.f64 eps))
✓	30.6b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 -1 (-.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))))
✓	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
▶	46.2b	(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 x eps))))
✓	61.6b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
✓	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	61.1b	(*.f64 (+.f64 -2 (-.f64 1 (neg.f64 (cos.f64 eps)))) x)
✓	33.3b	(*.f64 (cos.f64 x) eps)
✓	29.2b	(sin.f64 eps)
	44.3b	eps

Compiler

Compiled 838 to 642 computations (23.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (cos.f64 eps) 2)
✓	0.1b	(*.f64 (-.f64 (+.f64 -2 (+.f64 (cos.f64 eps) 2)) 1) x)
✓	0.6b	(+.f64 -2 (+.f64 (cos.f64 eps) 2))
✓	1.8b	(-.f64 (+.f64 -2 (+.f64 (cos.f64 eps) 2)) 1)

Compiler

Compiled 52 to 34 computations (34.6% saved)

series1.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite202.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational.json-1`
1388×	`rational.json-simplify-35`
1296×	`rational.json-2`
1296×	`rational.json-3`
1292×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	101	44
2	206	44
3	413	44
4	940	44
5	1974	44
6	3143	44
7	4451	44
8	5720	44
9	6944	44
10	7471	44
11	7975	44

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (cos.f64 eps) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (cos.f64 eps)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -2 (cos.f64 eps)))))) (#(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 -3 (+.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) 4) -5)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (+.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -5 (+.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (cos.f64 eps) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) 3) -4)))) (#(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 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 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -2 (.f64 2 (cos.f64 eps))) 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 -2 (.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (.f64 2 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 eps) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) -1) -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 (cos.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .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 4 (/.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cos.f64 eps)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 eps) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 eps) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 eps) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 eps) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 eps) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 eps) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 eps))))))
((#(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 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (.f64 x 1/2)) (+.f64 -2 (.f64 2 (cos.f64 eps)))) (.f64 (.f64 1/2 (.f64 x 1/2)) (+.f64 -2 (.f64 2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (+.f64 x x)) (.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x 4)) (.f64 (.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/4 (.f64 x 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) 4)) (.f64 (.f64 1/4 (.f64 x 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) 4)))))) (#(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 (cos.f64 eps) -1) (.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x))))) 128)))) (#(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 (+.f64 2 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 2 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 2 (cos.f64 eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 2 (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 2 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 2 (cos.f64 eps)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 2 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 2 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 2 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 2 (cos.f64 eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (cos.f64 eps)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (cos.f64 eps)) 1)))))

simplify304.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1896×	`rational.json-simplify-35`
1794×	`rational.json-simplify-2`
1652×	`rational.json-simplify-1`
1650×	`rational.json-simplify-53`
1046×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2229
1	491	2229
2	1336	2229
3	3350	2229
4	5014	2229
5	5213	2229
6	5378	2229
7	5530	2229
8	5671	2229
9	5817	2229
10	7112	2229
11	7505	2229
12	7815	2229

Stop Event

1×	node limit

Counts

161 → 144

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(.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)
3
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 3))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 3 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 2 (+.f64 (cos.f64 eps) -3))
(+.f64 (+.f64 2 (cos.f64 eps)) -3)
(+.f64 (cos.f64 eps) -1)
(+.f64 1 (+.f64 -2 (cos.f64 eps)))
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (cos.f64 eps))
(+.f64 -3 (+.f64 2 (cos.f64 eps)))
(+.f64 (+.f64 (cos.f64 eps) 4) -5)
(+.f64 (+.f64 -2 (cos.f64 eps)) 1)
(+.f64 (+.f64 (cos.f64 eps) 1) -2)
(+.f64 (+.f64 (cos.f64 eps) -3) 2)
(+.f64 (+.f64 (cos.f64 eps) -4) 3)
(+.f64 -4 (+.f64 (cos.f64 eps) 3))
(+.f64 -5 (+.f64 (cos.f64 eps) 4))
(+.f64 3 (+.f64 (cos.f64 eps) -4))
(+.f64 (+.f64 (cos.f64 eps) 3) -4)
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (+.f64 -2 (.f64 2 (cos.f64 eps))) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(.f64 1/2 (+.f64 -2 (.f64 2 (cos.f64 eps))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(-.f64 (cos.f64 eps) 0)
(-.f64 (+.f64 (cos.f64 eps) -1) -1)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(.f64 2 (.f64 (cos.f64 eps) 1/2))
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 4 (/.f64 (cos.f64 eps) 4))
(.f64 (.f64 2 (cos.f64 eps)) 1/2)
(.f64 (.f64 (cos.f64 eps) 4) 1/4)
(.f64 1/2 (.f64 2 (cos.f64 eps)))
(.f64 1/4 (.f64 (cos.f64 eps) 4))
(.f64 (.f64 (cos.f64 eps) 1/2) 2)
(*.f64 (/.f64 (cos.f64 eps) 4) 4)
(/.f64 (cos.f64 eps) 1)
(/.f64 (*.f64 2 (cos.f64 eps)) 2)
(/.f64 (*.f64 (cos.f64 eps) 4) 4)
(/.f64 (*.f64 (cos.f64 eps) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 eps) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 8))))) 128)
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(cos.f64 (neg.f64 eps))
(+.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 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 1/2)))
(+.f64 (.f64 (.f64 1/2 (.f64 x 1/2)) (+.f64 -2 (.f64 2 (cos.f64 eps)))) (.f64 (.f64 1/2 (.f64 x 1/2)) (+.f64 -2 (.f64 2 (cos.f64 eps)))))
(+.f64 (.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (+.f64 x x)) (.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (+.f64 x x)))
(+.f64 (.f64 (.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x 4)) (.f64 (.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x 4)))
(+.f64 (.f64 (.f64 1/4 (.f64 x 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) 4)) (.f64 (.f64 1/4 (.f64 x 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) 4)))
(-.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 (cos.f64 eps) -1) (.f64 x 8)) 8)
(/.f64 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x)) 16)
(/.f64 (.f64 2 (.f64 16 (*.f64 (+.f64 (cos.f64 eps) -1) x))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 (+.f64 (cos.f64 eps) -1) x))))) 128)
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1)
(-.f64 (+.f64 2 (cos.f64 eps)) 0)
(-.f64 (+.f64 (cos.f64 eps) 1) -1)
(-.f64 (+.f64 (cos.f64 eps) 3) 1)
(.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 1/2))
(*.f64 (+.f64 2 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 2 (cos.f64 eps)))
(*.f64 4 (/.f64 (+.f64 2 (cos.f64 eps)) 4))
(.f64 (.f64 2 (+.f64 2 (cos.f64 eps))) 1/2)
(.f64 (.f64 (+.f64 2 (cos.f64 eps)) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 2 (cos.f64 eps))))
(.f64 1/4 (.f64 (+.f64 2 (cos.f64 eps)) 4))
(.f64 (.f64 (+.f64 2 (cos.f64 eps)) 1/2) 2)
(*.f64 (/.f64 (+.f64 2 (cos.f64 eps)) 4) 4)
(/.f64 (+.f64 2 (cos.f64 eps)) 1)
(/.f64 (*.f64 2 (+.f64 2 (cos.f64 eps))) 2)
(/.f64 (*.f64 (+.f64 2 (cos.f64 eps)) 4) 4)
(/.f64 (*.f64 (+.f64 2 (cos.f64 eps)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (cos.f64 eps)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (cos.f64 eps)) 8))))) 128)
(pow.f64 (+.f64 2 (cos.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 1/24 (pow.f64 eps 4)) (+.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 1/40320 (pow.f64 eps 8)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 (pow.f64 eps 2) (.f64 x -1/2))
(.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 (pow.f64 eps 2) (.f64 x -1/2)) (.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 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 -1/720 (.f64 (pow.f64 eps 6) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 -1/720 (.f64 (pow.f64 eps 6) 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 -1/720 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) 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 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 -1/720 (.f64 (pow.f64 eps 6) x))) (.f64 1/40320 (.f64 (pow.f64 eps 8) x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 (pow.f64 eps 8) (.f64 1/40320 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) (.f64 -1/720 (.f64 (pow.f64 eps 6) x)))))
(*.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))
3
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 3))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 3 (*.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)) 3)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 3)))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 2 (cos.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) -1)
(+.f64 2 (+.f64 (cos.f64 eps) -3))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 2 (cos.f64 eps)) -3)
(+.f64 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 1 (+.f64 -2 (cos.f64 eps)))
(+.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 -3 (+.f64 2 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) 4) -5)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 -2 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) 1) -2)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -3) 2)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -4) 3)
(+.f64 (cos.f64 eps) -1)
(+.f64 -4 (+.f64 (cos.f64 eps) 3))
(+.f64 (cos.f64 eps) -1)
(+.f64 -5 (+.f64 (cos.f64 eps) 4))
(+.f64 (cos.f64 eps) -1)
(+.f64 3 (+.f64 (cos.f64 eps) -4))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) 3) -4)
(+.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 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 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 -2 (.f64 2 (cos.f64 eps))) 1/2)
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(.f64 1/2 (+.f64 -2 (.f64 2 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps))) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(-.f64 (+.f64 (cos.f64 eps) -1) -1)
(cos.f64 eps)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(cos.f64 eps)
(.f64 2 (.f64 (cos.f64 eps) 1/2))
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(cos.f64 eps)
(*.f64 4 (/.f64 (cos.f64 eps) 4))
(cos.f64 eps)
(.f64 (.f64 2 (cos.f64 eps)) 1/2)
(cos.f64 eps)
(.f64 (.f64 (cos.f64 eps) 4) 1/4)
(cos.f64 eps)
(.f64 1/2 (.f64 2 (cos.f64 eps)))
(cos.f64 eps)
(.f64 1/4 (.f64 (cos.f64 eps) 4))
(cos.f64 eps)
(.f64 (.f64 (cos.f64 eps) 1/2) 2)
(cos.f64 eps)
(*.f64 (/.f64 (cos.f64 eps) 4) 4)
(cos.f64 eps)
(/.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(/.f64 (*.f64 2 (cos.f64 eps)) 2)
(cos.f64 eps)
(/.f64 (*.f64 (cos.f64 eps) 4) 4)
(cos.f64 eps)
(/.f64 (*.f64 (cos.f64 eps) 8) 8)
(cos.f64 eps)
(/.f64 (.f64 2 (.f64 (cos.f64 eps) 8)) 16)
(cos.f64 eps)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 8))) 32)
(cos.f64 eps)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 eps) 8)))) 64)
(cos.f64 eps)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (cos.f64 eps) 8))))) 128)
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.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 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x 1/2)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (.f64 1/2 (.f64 x 1/2)) (+.f64 -2 (.f64 2 (cos.f64 eps)))) (.f64 (.f64 1/2 (.f64 x 1/2)) (+.f64 -2 (.f64 2 (cos.f64 eps)))))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (+.f64 x x)) (.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (+.f64 x x)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x 4)) (.f64 (.f64 1/4 (.f64 (+.f64 (cos.f64 eps) -1) 1/2)) (.f64 x 4)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (.f64 1/4 (.f64 x 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) 4)) (.f64 (.f64 1/4 (.f64 x 1/2)) (.f64 (+.f64 (cos.f64 eps) -1) 4)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.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 (cos.f64 eps) -1) (.f64 x 8)) 8)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x)) 16)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 16 (*.f64 (+.f64 (cos.f64 eps) -1) x))) 32)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 (+.f64 (cos.f64 eps) -1) x)))) 64)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 (+.f64 (cos.f64 eps) -1) x))))) 128)
(*.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 (+.f64 2 (cos.f64 eps)) 0)
(+.f64 2 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) 1) -1)
(+.f64 2 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) 3) 1)
(+.f64 2 (cos.f64 eps))
(.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 1/2))
(+.f64 2 (cos.f64 eps))
(*.f64 (+.f64 2 (cos.f64 eps)) 1)
(+.f64 2 (cos.f64 eps))
(*.f64 1 (+.f64 2 (cos.f64 eps)))
(+.f64 2 (cos.f64 eps))
(*.f64 4 (/.f64 (+.f64 2 (cos.f64 eps)) 4))
(+.f64 2 (cos.f64 eps))
(.f64 (.f64 2 (+.f64 2 (cos.f64 eps))) 1/2)
(+.f64 2 (cos.f64 eps))
(.f64 (.f64 (+.f64 2 (cos.f64 eps)) 4) 1/4)
(+.f64 2 (cos.f64 eps))
(.f64 1/2 (.f64 2 (+.f64 2 (cos.f64 eps))))
(+.f64 2 (cos.f64 eps))
(.f64 1/4 (.f64 (+.f64 2 (cos.f64 eps)) 4))
(+.f64 2 (cos.f64 eps))
(.f64 (.f64 (+.f64 2 (cos.f64 eps)) 1/2) 2)
(+.f64 2 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 2 (cos.f64 eps)) 4) 4)
(+.f64 2 (cos.f64 eps))
(/.f64 (+.f64 2 (cos.f64 eps)) 1)
(+.f64 2 (cos.f64 eps))
(/.f64 (*.f64 2 (+.f64 2 (cos.f64 eps))) 2)
(+.f64 2 (cos.f64 eps))
(/.f64 (*.f64 (+.f64 2 (cos.f64 eps)) 4) 4)
(+.f64 2 (cos.f64 eps))
(/.f64 (*.f64 (+.f64 2 (cos.f64 eps)) 8) 8)
(+.f64 2 (cos.f64 eps))
(/.f64 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8)) 16)
(+.f64 2 (cos.f64 eps))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (cos.f64 eps)) 8))) 32)
(+.f64 2 (cos.f64 eps))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 2 (cos.f64 eps)) 8)))) 64)
(+.f64 2 (cos.f64 eps))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 2 (cos.f64 eps)) 8))))) 128)
(+.f64 2 (cos.f64 eps))
(pow.f64 (+.f64 2 (cos.f64 eps)) 1)
(+.f64 2 (cos.f64 eps))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	2.5b	(+.f64 -1 (+.f64 1 (sin.f64 (+.f64 x eps))))
	6.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 27 to 12 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational.json-1`
1156×	`exponential.json-3`
1156×	`rational.json-2`
1156×	`rational.json-4`
1156×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	86	11
2	187	11
3	370	11
4	820	11
5	2058	11
6	4856	11
7	7675	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

simplify205.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1828×	`rational.json-simplify-35`
946×	`rational.json-simplify-2`
934×	`rational.json-simplify-52`
902×	`rational.json-simplify-1`
878×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	978
1	261	962
2	635	940
3	1884	930
4	2977	930
5	4475	930
6	5906	930
7	6478	930
8	6906	930
9	7494	930

Stop Event

1×	node limit

Counts

60 → 73

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)))
(-.f64 (sin.f64 (+.f64 x eps)) 0)
(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1)
(-.f64 0 (neg.f64 (sin.f64 (+.f64 x eps))))
(-.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) -1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 1/2) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps))))
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(.f64 2 (.f64 (sin.f64 (+.f64 x eps)) 1/2))
(.f64 4 (.f64 (sin.f64 (+.f64 x eps)) 1/4))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)
(.f64 (.f64 (sin.f64 (+.f64 x eps)) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (+.f64 x eps)) 2))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) 8) 1/8)
(.f64 1/4 (.f64 (sin.f64 (+.f64 x eps)) 4))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) 2)
(*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1)
(.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/4) 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 (*.f64 (sin.f64 (+.f64 x eps)) 8) 8)
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1)
(/.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 (.f64 2 (neg.f64 (sin.f64 (+.f64 x eps)))) (.f64 2 (neg.f64 (sin.f64 (+.f64 x eps))))) -4)
(/.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)
(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 (neg.f64 (PI.f64)) (+.f64 x eps)))
(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))))

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

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(-.f64 -1 (sin.f64 x))
✓	0.5b	(+.f64 (sin.f64 eps) 1)
✓	2.6b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 (sin.f64 eps) 1))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`rational.json-simplify-35`
1314×	`exponential.json-3`
1314×	`rational.json-1`
1314×	`rational.json-2`
1314×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	92	38
2	208	32
3	438	30
4	930	30
5	2403	30
6	5463	30

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify181.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2372×	`rational.json-simplify-1`
1496×	`rational.json-simplify-35`
1082×	`rational.json-simplify-2`
900×	`rational.json-simplify-41`
800×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	1298
1	298	1292
2	703	1292
3	1781	1292
4	3494	1292
5	4088	1292
6	4685	1292
7	5420	1292
8	5989	1292
9	6413	1292

Stop Event

1×	node limit

Counts

86 → 88

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 -2 (-.f64 1 (sin.f64 x)))
	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	4.9b	(+.f64 (+.f64 -2 (-.f64 1 (sin.f64 x))) (+.f64 1 (sin.f64 (+.f64 x eps))))
	6.5b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`exponential.json-3`
1486×	`rational.json-1`
1486×	`rational.json-2`
1486×	`rational.json-4`
1486×	`rational.json-3`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	107	56
2	245	50
3	557	50
4	1340	44
5	3037	42
6	5806	36

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify195.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1906×	`rational.json-simplify-51`
1494×	`rational.json-simplify-35`
1046×	`rational.json-simplify-2`
942×	`rational.json-simplify-1`
590×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	1961
1	326	1867
2	762	1835
3	1880	1835
4	2886	1715
5	3545	1715
6	4240	1715
7	4724	1715
8	5126	1715
9	5525	1715
10	7000	1715

Stop Event

1×	node limit

Counts

83 → 101

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	0.7b	(+.f64 1 (+.f64 (/.f64 (+.f64 1 (sin.f64 x)) -2) (+.f64 -1 (/.f64 (+.f64 1 (sin.f64 x)) -2))))
	6.5b	(sin.f64 (+.f64 x eps))
✓	11.2b	(+.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 1 (sin.f64 x)) -2) (+.f64 -1 (/.f64 (+.f64 1 (sin.f64 x)) -2)))) (+.f64 1 (sin.f64 (+.f64 x eps))))

Compiler

Compiled 96 to 62 computations (35.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`exponential.json-3`
1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`
1432×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	124
1	144	68
2	339	56
3	795	52
4	1970	52
5	4270	44
6	6464	44

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

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

(+.f64 1 (+.f64 (/.f64 (+.f64 1 (sin.f64 x)) -2) (+.f64 -1 (/.f64 (+.f64 1 (sin.f64 x)) -2))))

Outputs

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

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

simplify170.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1932×	`rational.json-simplify-35`
1134×	`rational.json-simplify-2`
1012×	`rational.json-simplify-1`
1002×	`rational.json-simplify-52`
662×	`rational.json-simplify-26`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	180	2722
1	414	2548
2	901	2036
3	2043	2018
4	3704	2010
5	4772	1954
6	5706	1936
7	6521	1936
8	7395	1936

Stop Event

1×	node limit

Counts

96 → 136

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

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

eval284.0ms (1%)

Compiler: Compiled 17517 to 10819 computations (38.2% saved)

prune202.0ms (0.7%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	968	14	982
Fresh	8	10	18
Picked	1	0	1
Done	5	6	11
Total	982	30	1012

Error

15.7b

Counts

1012 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(-.f64 (+.f64 (-.f64 1 (sin.f64 x)) (sin.f64 (+.f64 x eps))) 1)
	45.2b	(-.f64 (+.f64 (-.f64 -1 (sin.f64 x)) (sin.f64 eps)) -1)
	45.2b	(-.f64 (+.f64 (sin.f64 eps) (-.f64 1 (sin.f64 x))) 1)
	46.2b	(-.f64 (+.f64 -1 (sin.f64 (+.f64 x eps))) -1)
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 eps) (sin.f64 x))
	45.9b	(+.f64 (-.f64 (+.f64 (-.f64 -1 (sin.f64 x)) -1) -1) (+.f64 1 (sin.f64 (+.f64 x eps))))
✓	45.2b	(+.f64 (-.f64 -1 (sin.f64 x)) (+.f64 (sin.f64 eps) 1))
	59.2b	(+.f64 (-.f64 -1 (sin.f64 x)) 1)
	61.2b	(+.f64 (-.f64 -1 (neg.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))))))) (-.f64 1 (sin.f64 x)))
	45.8b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
	45.2b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (+.f64 (sin.f64 x) 1) 2)) (-.f64 1 (/.f64 (+.f64 (sin.f64 x) 1) 2))) (+.f64 (sin.f64 eps) 1))
	34.0b	(+.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 (pow.f64 eps 4) 1/24)) (*.f64 eps (cos.f64 x))))
	61.1b	(+.f64 (+.f64 1 (+.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)))))) -1)
	34.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) 1/24)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
	33.9b	(+.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)))))
✓	30.6b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 -1 (-.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))))
✓	33.7b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	39.3b	(+.f64 (sin.f64 eps) (neg.f64 x))
	45.6b	(+.f64 -1 (+.f64 (sin.f64 eps) 1))
	61.1b	(+.f64 -1 (+.f64 1 (sin.f64 x)))
✓	33.3b	(*.f64 (cos.f64 x) eps)
	59.2b	(sin.f64 (-.f64 (PI.f64) (+.f64 x eps)))
	38.1b	(sin.f64 (+.f64 x eps))
	59.1b	(sin.f64 (neg.f64 x))
	61.1b	(sin.f64 x)
✓	29.2b	(sin.f64 eps)
	44.3b	eps
	61.3b	0

Compiler

Compiled 382 to 295 computations (22.8% saved)

regimes186.0ms (0.7%)

Counts

53 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

76.0ms	x
59.0ms	eps
35.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 691 to 398 computations (42.4% saved)

bsearch75.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.04392022025611797	96.7708169105283
40.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

34.0ms	85×	body	1024	valid
22.0ms	147×	body	256	valid
10.0ms	33×	body	512	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 728 to 520 computations (28.6% saved)

regimes177.0ms (0.6%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

72.0ms	x
56.0ms	eps
35.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 629 to 362 computations (42.4% saved)

bsearch75.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.04392022025611797	96.7708169105283
41.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

32.0ms	82×	body	1024	valid
23.0ms	150×	body	256	valid
9.0ms	34×	body	512	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 677 to 503 computations (25.7% saved)

regimes151.0ms (0.5%)

Counts

49 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

53.0ms	eps
52.0ms	x
34.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 573 to 326 computations (43.1% saved)

bsearch149.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
109.0ms	0.04392022025611797	96.7708169105283
39.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

84.0ms	32×	body	512	valid
29.0ms	75×	body	1024	valid
23.0ms	153×	body	256	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 575 to 418 computations (27.3% saved)

regimes145.0ms (0.5%)

Counts

46 → 3

Calls

Call 1

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

51.0ms	eps
51.0ms	x
32.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.3b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 497 to 280 computations (43.7% saved)

bsearch73.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.04392022025611797	96.7708169105283
40.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

34.0ms	83×	body	1024	valid
23.0ms	157×	body	256	valid
7.0ms	27×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 524 to 401 computations (23.5% saved)

regimes131.0ms (0.5%)

Counts

42 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
19.4b	3	`x`
17.4b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 417 to 231 computations (44.6% saved)

bsearch77.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.04392022025611797	96.7708169105283
40.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

37.0ms	94×	body	1024	valid
24.0ms	143×	body	256	valid
9.0ms	30×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 490 to 384 computations (21.6% saved)

regimes116.0ms (0.4%)

Counts

37 → 3

Calls

Call 1

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

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:

41.0ms	eps
41.0ms	x
25.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.4b	3	`x`
17.4b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 308 to 157 computations (49% saved)

bsearch76.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.04392022025611797	96.7708169105283
40.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

31.0ms	76×	body	1024	valid
21.0ms	137×	body	256	valid
13.0ms	49×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 422 to 316 computations (25.1% saved)

regimes116.0ms (0.4%)

Counts

36 → 3

Calls

Call 1

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

42.0ms	x
40.0ms	eps
26.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
19.5b	3	`x`
17.5b	3	`eps`
18.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 295 to 151 computations (48.8% saved)

bsearch71.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.04392022025611797	96.7708169105283
40.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

31.0ms	73×	body	1024	valid
25.0ms	166×	body	256	valid
7.0ms	26×	body	512	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 269 to 197 computations (26.8% saved)

regimes52.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	eps
21.0ms	x

Results

Error	Segments	Branch
19.5b	3	`x`
18.2b	3	`eps`

Compiler

Compiled 89 to 51 computations (42.7% saved)

bsearch70.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.04392022025611797	96.7708169105283
37.0ms	-0.00564222146071794	-1.0281830448857238e-10

Results

31.0ms	74×	body	1024	valid
23.0ms	155×	body	256	valid
10.0ms	37×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 218 to 163 computations (25.2% saved)

regimes9.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
29.2b	1	`x`
29.2b	1	`eps`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes6.0ms (0%)

Accuracy

Total -17.4b remaining (-39.2%)

Threshold costs -17.4b (-39.2%)

Counts

2 → 1

Calls

Call 1

Inputs
0
eps

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
44.3b	1	`x`
44.3b	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	787

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8358680908399641/144115188075855872) (+.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 eps) (sin.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7638104968020361/144115188075855872) (+.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 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3386706919782613/72057594037927936) (+.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 eps) (sin.f64 x))))
(if (<=.f64 eps -1152921504606847/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3314649325744685/72057594037927936) (+.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 -4574792530279969/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5404319552844595/72057594037927936) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 -1 (-.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7839866231326559/4611686018427387904) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7926335344172073/144115188075855872) (+.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 -3910709743626425/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3242591731706757/72057594037927936) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 3242591731706757/72057594037927936) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Outputs
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8358680908399641/144115188075855872) (+.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 eps) (sin.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7638104968020361/144115188075855872) (+.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 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3386706919782613/72057594037927936) (+.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 eps) (sin.f64 x))))
(if (<=.f64 eps -1152921504606847/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3314649325744685/72057594037927936) (+.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 -4574792530279969/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5404319552844595/72057594037927936) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 -1 (-.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7839866231326559/4611686018427387904) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7926335344172073/144115188075855872) (+.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 -3910709743626425/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3242591731706757/72057594037927936) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 3242591731706757/72057594037927936) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Compiler

Compiled 302 to 184 computations (39.1% saved)

soundness0.0ms (0%)

end97.0ms (0.3%)

Compiler: Compiled 282 to 132 computations (53.2% saved)