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)

sample18.3s (66.7%)

Results

14.5s	3549×	body	1024	valid
2.2s	1292×	body	2048	valid
912.0ms	1464×	body	512	valid
650.0ms	1946×	body	256	valid
7.0ms	5×	body	4096	valid

Bogosity

preprocess151.0ms (0.5%)

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)

simplify107.0ms (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

40.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.1b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	4.0b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
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))

rewrite187.0ms (0.7%)

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	37
1	63	37
2	154	37
3	346	37
4	729	37
5	1833	37
6	4787	37
7	7929	37

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

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))))))))

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

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1656×	`rational.json-simplify-35`
1616×	`rational.json-simplify-52`
1302×	`rational.json-simplify-1`
960×	`rational.json-simplify-2`
726×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	2996
1	587	2964
2	1634	2916
3	4303	2916
4	6724	2916

Stop Event

1×	node limit

Counts

172 → 183

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

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 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (.f64 (cos.f64 eps) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))))
(+.f64 (+.f64 (sin.f64 eps) (.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 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/2 (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 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6)) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (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 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.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 (pow.f64 x 3) (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6)) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (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 (+.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))
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eval305.0ms (1.1%)

Compiler: Compiled 2518 to 1175 computations (53.3% saved)

prune105.0ms (0.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	164	19	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	20	184

Error

16.2b

Counts

184 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	48.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
	42.3b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.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 x))
	42.1b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
	41.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	42.2b	(-.f64 (sin.f64 (+.f64 x eps)) (-.f64 (+.f64 1 (sin.f64 x)) 1))
▶	42.6b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
✓	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	42.0b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	41.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	47.9b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
▶	48.0b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)
	32.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	31.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.7b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 3) -1/6))) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
▶	34.6b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
	31.7b	(+.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))))))
	31.6b	(+.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)))))
	48.0b	(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
▶	30.9b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 609 to 438 computations (28.1% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	0.1b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite236.0ms (0.9%)

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	16
1	47	16
2	113	16
3	247	16
4	482	16
5	1096	16
6	2237	16
7	3642	16
8	4826	16
9	6743	16

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

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)))))

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

simplify379.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1996×	`rational.json-simplify-2`
1862×	`rational.json-simplify-53`
1792×	`rational.json-simplify-35`
1030×	`rational.json-simplify-51`
898×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	578
1	241	578
2	636	566
3	1466	560
4	3481	560
5	4150	560
6	4282	560
7	4395	560
8	4524	560
9	4674	560
10	6113	560
11	6566	560
12	7369	560
13	7677	560
14	7815	560
15	7974	560

Stop Event

1×	node limit

Counts

50 → 63

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	4.0b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite168.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`exponential.json-3`
1630×	`rational.json-1`
1630×	`rational.json-2`
1630×	`rational.json-4`
1630×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	55	17
2	133	17
3	291	17
4	612	17
5	1515	17
6	4116	17
7	6758	17

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify209.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1744×	`rational.json-simplify-35`
1194×	`rational.json-simplify-2`
1106×	`rational.json-simplify-41`
626×	`rational.json-simplify-48`
584×	`rational.json-simplify-26`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	148	1608
1	318	1600
2	658	1600
3	1437	1590
4	2760	1584
5	4454	1384
6	5313	1384
7	5853	1384
8	6365	1384
9	6985	1384
10	7761	1384

Stop Event

1×	node limit

Counts

68 → 88

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

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

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 1 (sin.f64 x))
✓	0.4b	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x)))
	4.0b	(sin.f64 (+.f64 x eps))
✓	4.7b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(-.f64 1 (sin.f64 x))
0.0ms	x	@	inf	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x)))
0.0ms	x	@	0	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) -1)
0.0ms	x	@	0	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x)))
0.0ms	x	@	-inf	(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x)))

rewrite114.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`rational.json-1`
1806×	`rational.json-2`
1334×	`rational.json-simplify-35`
1148×	`exponential.json-3`
1148×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	98	71
2	213	65
3	468	63
4	998	63
5	2199	63
6	4454	63
7	7416	63

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

simplify233.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1832×	`rational.json-simplify-35`
1230×	`rational.json-simplify-51`
1214×	`rational.json-simplify-2`
1070×	`rational.json-simplify-1`
998×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	3277
1	499	3115
2	1201	3085
3	2298	3081
4	3635	3081
5	4599	3081
6	5930	3081
7	6579	3081
8	7144	3081
9	7642	3081

Stop Event

1×	node limit

Counts

133 → 166

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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 1 (+.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 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
1
(+.f64 1 (*.f64 (cos.f64 x) eps))
(+.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 1 (+.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 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (.f64 -1 x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5)))))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x))) 0)
(*.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 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 1/4 (.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 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 0)
(*.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 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) -1)))
(.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1/2))
(.f64 2 (+.f64 (.f64 (-.f64 1 (sin.f64 x)) 1/2) (*.f64 (sin.f64 (+.f64 x eps)) 1/2)))
(.f64 2 (+.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) (*.f64 (-.f64 1 (sin.f64 x)) 1/2)))
(.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4))
(.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 1 (sin.f64 x)) 2) (*.f64 (sin.f64 (+.f64 x eps)) 2)))
(.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (-.f64 1 (sin.f64 x)) 2)))
(.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4))
(*.f64 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4) 4)
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4) 4)
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8)))) 64)
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(+.f64 1 (sin.f64 (neg.f64 x)))
(+.f64 (-.f64 1 (sin.f64 x)) 0)
(+.f64 -1 (-.f64 1 (+.f64 (sin.f64 x) -1)))
(+.f64 0 (-.f64 1 (sin.f64 x)))
(+.f64 -2 (-.f64 1 (+.f64 (+.f64 (sin.f64 x) -1) -1)))
(+.f64 (-.f64 1 (+.f64 (sin.f64 x) -1)) -1)
(+.f64 (.f64 (-.f64 1 (sin.f64 x)) 1/2) (.f64 (-.f64 1 (sin.f64 x)) 1/2))
(*.f64 1 (-.f64 1 (sin.f64 x)))
(*.f64 (-.f64 1 (sin.f64 x)) 1)
(*.f64 -1 (+.f64 (sin.f64 x) -1))
(.f64 2 (.f64 (-.f64 1 (sin.f64 x)) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (sin.f64 x)) 4))
(.f64 (.f64 (-.f64 1 (sin.f64 x)) 2) 1/2)
(*.f64 (+.f64 (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 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 (.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 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (sin.f64 eps) (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)))))
(+.f64 (sin.f64 eps) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (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 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.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 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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) 1))
(+.f64 (sin.f64 eps) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
(+.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))) -1))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) x))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 1 (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 1 (+.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 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 (+.f64 (sin.f64 eps) (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3))) (.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))))
(+.f64 1 (+.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 (+.f64 (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) x)) (+.f64 (+.f64 1 (.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 (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) x)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (+.f64 1 (.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)))))
(+.f64 (sin.f64 eps) (-.f64 (+.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)))) -1))
(+.f64 (sin.f64 eps) (+.f64 1 (+.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 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (+.f64 1 (.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
1
(+.f64 1 (*.f64 (cos.f64 x) eps))
(+.f64 1 (*.f64 eps (cos.f64 x)))
(+.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)))))
(+.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x)))))
(+.f64 1 (+.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 (+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 1 (+.f64 (.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 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
(-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (sin.f64 x)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (.f64 -1 x)))
(+.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 1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 x) (.f64 -1/120 (pow.f64 x 5))) (.f64 1/6 (pow.f64 x 3))))
(+.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 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x))) 0)
(-.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 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 1/4 (.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 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 0)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(*.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(*.f64 -1 (+.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (+.f64 (sin.f64 x) -1)))
(*.f64 -1 (+.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (sin.f64 (+.f64 eps x))))))
(neg.f64 (+.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (sin.f64 (+.f64 eps x))))))
(neg.f64 (+.f64 (sin.f64 x) (-.f64 -1 (sin.f64 (+.f64 eps x)))))
(-.f64 1 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 (+.f64 eps x)))))
(.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1/2))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 2 (+.f64 (.f64 (-.f64 1 (sin.f64 x)) 1/2) (*.f64 (sin.f64 (+.f64 x eps)) 1/2)))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 2 (+.f64 (.f64 (sin.f64 (+.f64 x eps)) 1/2) (*.f64 (-.f64 1 (sin.f64 x)) 1/2)))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 2) 1/2)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(*.f64 4 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4) 1/4)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 2))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 1/2 (+.f64 (.f64 (-.f64 1 (sin.f64 x)) 2) (*.f64 (sin.f64 (+.f64 x eps)) 2)))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (-.f64 1 (sin.f64 x)) 2)))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1/2) 2)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(.f64 1/4 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4) 4)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 2) 2)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 4) 4)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8) 8)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8)) 16)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8))) 32)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 8)))) 64)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (sin.f64 x))) 1)
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 1 (sin.f64 x)))
(+.f64 1 (sin.f64 (neg.f64 x)))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(+.f64 (-.f64 1 (sin.f64 x)) 0)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(+.f64 -1 (-.f64 1 (+.f64 (sin.f64 x) -1)))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(+.f64 0 (-.f64 1 (sin.f64 x)))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(+.f64 -2 (-.f64 1 (+.f64 (+.f64 (sin.f64 x) -1) -1)))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(+.f64 (-.f64 1 (+.f64 (sin.f64 x) -1)) -1)
(+.f64 1 (neg.f64 (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))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(*.f64 1 (-.f64 1 (sin.f64 x)))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(*.f64 (-.f64 1 (sin.f64 x)) 1)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(*.f64 -1 (+.f64 (sin.f64 x) -1))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(.f64 2 (.f64 (-.f64 1 (sin.f64 x)) 1/2))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (sin.f64 x)) 4))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(.f64 (.f64 (-.f64 1 (sin.f64 x)) 2) 1/2)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(*.f64 (+.f64 (sin.f64 x) -1) -1)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(.f64 (.f64 (-.f64 1 (sin.f64 x)) 4) 1/4)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (sin.f64 x)) 2))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(.f64 1/4 (.f64 (-.f64 1 (sin.f64 x)) 4))
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(.f64 (.f64 (-.f64 1 (sin.f64 x)) 1/2) 2)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (sin.f64 x)) 4) 4)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (-.f64 1 (sin.f64 x)) 1)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (sin.f64 x)) 2) 2)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (+.f64 (sin.f64 x) -1) -1)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (sin.f64 x)) 4) 4)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (*.f64 2 (+.f64 (sin.f64 x) -1)) -2)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (sin.f64 x)) 8) 8)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (*.f64 (+.f64 (sin.f64 x) -1) 4) -4)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (sin.f64 x)) 8)) 16)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sin.f64 x) -1))) 2)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 (sin.f64 x) -1) 4)) -8)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sin.f64 x)) 8))) 32)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (sin.f64 x) -1)))) 4)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 x) -1) 4)) 4)
(+.f64 1 (neg.f64 (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)
(+.f64 1 (neg.f64 (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)
(+.f64 1 (neg.f64 (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)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(pow.f64 (-.f64 1 (sin.f64 x)) 1)
(+.f64 1 (neg.f64 (sin.f64 x)))
(-.f64 1 (sin.f64 x))
(neg.f64 (+.f64 (sin.f64 x) -1))
(+.f64 1 (neg.f64 (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	(pow.f64 x 3)
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	1.0b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	4.0b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series7.0ms (0%)

Counts

3 → 24

Calls

12 calls:

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

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational.json-1`
1852×	`rational.json-2`
1292×	`rational.json-simplify-35`
1212×	`exponential.json-3`
1212×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	87	55
2	180	55
3	380	55
4	808	55
5	1998	55
6	4809	55
7	7621	55

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/12) (*.f64 (pow.f64 x 3) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))))

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

simplify224.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2026×	`rational.json-simplify-1`
1794×	`rational.json-simplify-35`
1286×	`rational.json-simplify-2`
1104×	`rational.json-simplify-51`
730×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2890
1	480	2878
2	1227	2878
3	2170	2868
4	3820	2868
5	4645	2868
6	5469	2868
7	6001	2868
8	6528	2868
9	6982	2868

Stop Event

1×	node limit

Counts

106 → 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 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (sin.f64 (+.f64 eps x)) (.f64 -1 x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (sin.f64 (+.f64 eps x)) (.f64 -1 x)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (*.f64 -1 x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (*.f64 -1 x)))
(-.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (+.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 (.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(-.f64 (sin.f64 (-.f64 x (.f64 -1 eps))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 0)
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (neg.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (sin.f64 (+.f64 x eps)))
(+.f64 -1 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) -1)
(+.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 1/2) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 1/2))
(+.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (-.f64 -1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (-.f64 -1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (sin.f64 (+.f64 x eps))))
(+.f64 -2 (-.f64 1 (+.f64 (-.f64 x (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))))
(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 1)
(.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1/2))
(.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 2) 1/2)
(.f64 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) -1)
(.f64 4 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 4))
(.f64 4 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) 4) (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 4)))
(.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 2))
(.f64 -1 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))))
(.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 4))
(.f64 1/4 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) 4) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 4)))
(.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 4) 4)
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)
(/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 2) 2)
(/.f64 (+.f64 x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) -1)
(/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 4) 4)
(/.f64 (.f64 2 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps))))) -2)
(/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 8) 8)
(/.f64 (.f64 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 8)) 16)
(/.f64 (neg.f64 (.f64 2 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))))) 2)
(/.f64 (.f64 2 (.f64 (+.f64 x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps))))))) 4)
(/.f64 (neg.f64 (.f64 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps))))))) (.f64 2 (neg.f64 (.f64 2 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))))))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) 4)) (neg.f64 (.f64 (+.f64 x (-.f64 (.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))) 4))) 8)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)
(neg.f64 (+.f64 x (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (+.f64 x eps)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) -1/12) (.f64 (pow.f64 x 3) -1/12))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(/.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) -2/3) 4)
(/.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 -1/6 (pow.f64 x 3)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 -1/6 (pow.f64 x 3)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 -1/6 (pow.f64 x 3)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 -1/6 (pow.f64 x 3)) 8)))) 64)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (pow.f64 x 3) 0)
(+.f64 0 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/2) (.f64 (pow.f64 x 3) 1/2))
(-.f64 (pow.f64 x 3) 0)
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(.f64 2 (.f64 (pow.f64 x 3) 1/2))
(.f64 (.f64 (pow.f64 x 3) 2) 1/2)
(*.f64 4 (/.f64 (pow.f64 x 3) 4))
(.f64 (.f64 (pow.f64 x 3) 4) 1/4)
(.f64 1/2 (.f64 (pow.f64 x 3) 2))
(.f64 8 (pow.f64 (.f64 x 1/2) 3))
(.f64 (.f64 (pow.f64 x 3) 8) 1/8)
(.f64 (.f64 (pow.f64 x 3) 1/2) 2)
(.f64 1/4 (.f64 (pow.f64 x 3) 4))
(*.f64 (/.f64 (pow.f64 x 3) 4) 4)
(.f64 (pow.f64 (.f64 x 1/2) 3) 8)
(.f64 1/8 (.f64 (pow.f64 x 3) 8))
(*.f64 64 (pow.f64 (/.f64 x 4) 3))
(.f64 (pow.f64 (.f64 x 4) 3) 1/64)
(/.f64 (pow.f64 x 3) 1)
(/.f64 (*.f64 (pow.f64 x 3) 2) 2)
(/.f64 (*.f64 (pow.f64 x 3) 4) 4)
(/.f64 (*.f64 (pow.f64 x 3) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 8)))) 64)

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	0.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	2.0b	(-.f64 (cos.f64 eps) 1)
✓	4.3b	(*.f64 (pow.f64 x 2) (sin.f64 eps))

Compiler

Compiled 65 to 36 computations (44.6% saved)

series5.0ms (0%)

Counts

4 → 31

Calls

21 calls:

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

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational.json-1`
1240×	`rational.json-simplify-35`
1096×	`exponential.json-3`
1096×	`rational.json-2`
1096×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	103	72
2	216	72
3	435	72
4	896	72
5	2172	72
6	5000	72
7	7775	72

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

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

simplify181.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1664×	`rational.json-simplify-35`
1380×	`rational.json-simplify-51`
1296×	`rational.json-simplify-48`
1118×	`rational.json-simplify-45`
1030×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	2320
1	426	2320
2	1005	2284
3	2448	2230
4	4823	2230
5	5130	2230
6	5417	2230
7	5931	2230
8	7665	2230

Stop Event

1×	node limit

Counts

102 → 137

Calls

Call 1

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

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

eval221.0ms (0.8%)

Compiler: Compiled 13779 to 8222 computations (40.3% saved)

prune315.0ms (1.1%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	758	21	779
Fresh	4	10	14
Picked	0	1	1
Done	3	2	5
Total	765	34	799

Error

16.0b

Counts

799 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	48.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
▶	49.4b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) x)
	42.3b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.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 x))
	42.3b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	42.1b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
▶	41.9b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) x)
	42.5b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	41.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	41.4b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
	42.2b	(-.f64 (sin.f64 (+.f64 x eps)) (-.f64 (+.f64 1 (sin.f64 x)) 1))
✓	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	41.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	43.5b	(-.f64 (sin.f64 eps) x)
▶	47.9b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
	49.4b	(+.f64 (+.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) (-.f64 1 (sin.f64 x))) -1)
	49.2b	(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (-.f64 1 (sin.f64 x))) -1)
	49.3b	(+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (-.f64 (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))) -1)) -1)
	48.1b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (+.f64 (sin.f64 x) -1) -1)))) -1)
	47.3b	(+.f64 (+.f64 (sin.f64 eps) (-.f64 1 (sin.f64 x))) -1)
	47.3b	(+.f64 (+.f64 (sin.f64 eps) 1) -1)
	31.6b	(+.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)))))
	32.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	31.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.7b	(+.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))))))
✓	34.6b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
	34.9b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
	61.2b	(+.f64 1 -1)
	49.4b	(+.f64 -2 (-.f64 (sin.f64 (+.f64 eps x)) (+.f64 x -2)))
	48.0b	(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
✓	30.9b	(*.f64 (cos.f64 x) eps)
	62.3b	(*.f64 1/6 (pow.f64 x 3))
	31.4b	(sin.f64 eps)
▶	61.7b	(neg.f64 x)
	44.7b	eps

Compiler

Compiled 916 to 674 computations (26.4% saved)

localize76.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series3.0ms (0%)

Counts

2 → 15

Calls

12 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 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
0.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
0.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-1`
1246×	`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	56
1	98	56
2	216	56
3	453	56
4	920	56
5	2237	56
6	5036	56
7	7772	56

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

simplify373.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2196×	`rational.json-simplify-2`
1850×	`rational.json-simplify-35`
940×	`rational.json-simplify-26`
910×	`rational.json-simplify-1`
736×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1744
1	275	1702
2	636	1672
3	1727	1654
4	3316	1654
5	3844	1654
6	4083	1654
7	4400	1654
8	5160	1654
9	5686	1654
10	6308	1654
11	6676	1654
12	7025	1654
13	7596	1654

Stop Event

1×	node limit

Counts

50 → 75

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

localize2.0ms (0%)

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

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) x)
✓	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
✓	3.0b	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1)
	4.0b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) x)
0.0ms	x	@	0	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1)
0.0ms	eps	@	0	(+.f64 1 (sin.f64 (+.f64 x eps)))
0.0ms	x	@	0	(+.f64 1 (sin.f64 (+.f64 x eps)))
0.0ms	eps	@	0	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) x)

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational.json-simplify-35`
1296×	`exponential.json-3`
1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	88	45
2	206	45
3	476	45
4	1170	45
5	2666	45
6	5182	45

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

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

simplify172.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1896×	`rational.json-simplify-35`
1200×	`rational.json-simplify-51`
1174×	`rational.json-simplify-2`
984×	`rational.json-simplify-48`
860×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	4440
1	664	4124
2	1772	4104
3	3925	4102
4	5368	4102
5	6429	4102
6	7486	4102

Stop Event

1×	node limit

Counts

214 → 251

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(-.f64 1 (sin.f64 x))
✓	0.8b	(-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps))))
✓	1.5b	(+.f64 (-.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (-.f64 1 (sin.f64 x)))
	4.0b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`exponential.json-3`
1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`
1332×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	107	50
2	241	50
3	536	50
4	1149	50
5	2978	42
6	6245	42

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational.json-simplify-2`
1266×	`rational.json-simplify-35`
1066×	`rational.json-simplify-1`
954×	`rational.json-simplify-42`
946×	`rational.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2442
1	391	2410
2	931	2370
3	2321	2370
4	4117	2370
5	5517	2370
6	6894	2370
7	7908	2370

Stop Event

1×	node limit

Counts

102 → 131

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2))))
✓	0.1b	(*.f64 (cos.f64 eps) x)
✓	1.6b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) x)
✓	4.3b	(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))

Compiler

Compiled 74 to 37 computations (50% saved)

series5.0ms (0%)

Counts

4 → 76

Calls

24 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`rational.json-simplify-35`
1378×	`exponential.json-3`
1378×	`rational.json-1`
1378×	`rational.json-2`
1378×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	115	130
2	271	130
3	642	130
4	1545	130
5	3563	130
6	6096	130

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify265.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1894×	`rational.json-simplify-35`
1258×	`rational.json-simplify-2`
920×	`rational.json-simplify-1`
862×	`rational.json-simplify-52`
720×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	6952
1	606	6952
2	1343	6952
3	3044	6952
4	4407	6952
5	5198	6952
6	6294	6952
7	7147	6952
8	7869	6952

Stop Event

1×	node limit

Counts

170 → 180

Calls

Call 1

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

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

eval237.0ms (0.9%)

Compiler: Compiled 15842 to 9139 computations (42.3% saved)

prune201.0ms (0.7%)

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	862	14	876
Fresh	5	21	26
Picked	1	0	1
Done	3	4	7
Total	871	39	910

Error

16.0b

Counts

910 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	49.3b	(-.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (+.f64 (sin.f64 eps) 1) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) 1) x)
	49.4b	(-.f64 (-.f64 (+.f64 (sin.f64 eps) 1) 1) x)
▶	48.0b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))
	42.3b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.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 x))
	42.3b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	42.1b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
	42.5b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	41.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	41.9b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) x)
	42.2b	(-.f64 (sin.f64 (+.f64 x eps)) (-.f64 (+.f64 1 (sin.f64 x)) 1))
✓	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	41.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	43.5b	(-.f64 (sin.f64 eps) x)
	49.2b	(+.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 1) (-.f64 1 (sin.f64 x)))
▶	49.4b	(+.f64 (-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (+.f64 x -1)) -1)
	47.2b	(+.f64 (-.f64 (sin.f64 eps) 1) (-.f64 1 (sin.f64 x)))
	49.4b	(+.f64 (-.f64 2 x) (+.f64 (sin.f64 (+.f64 x eps)) -2))
	48.0b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) 2))) (-.f64 1 (sin.f64 x)))
	49.4b	(+.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (-.f64 (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)) 1)) (-.f64 1 (sin.f64 x)))
	49.4b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (-.f64 2 x)) -2)
	48.1b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (+.f64 (sin.f64 x) -1) -1)))) -1)
	47.3b	(+.f64 (+.f64 (sin.f64 eps) (-.f64 1 (sin.f64 x))) -1)
	47.3b	(+.f64 (+.f64 (sin.f64 eps) 1) -1)
	31.6b	(+.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)))))
	32.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	31.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.7b	(+.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))))))
	34.9b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
	32.7b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 x (cos.f64 eps)) x))
▶	61.2b	(+.f64 1 -1)
	48.0b	(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
▶	49.6b	(+.f64 -4 (-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3))))
	49.5b	(+.f64 -4 (+.f64 (+.f64 (sin.f64 (+.f64 eps x)) 4) (neg.f64 x)))
	61.5b	(.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))
✓	30.9b	(*.f64 (cos.f64 x) eps)
	62.3b	(*.f64 1/6 (pow.f64 x 3))
▶	31.4b	(sin.f64 eps)
✓	61.7b	(neg.f64 x)
	44.7b	eps

Compiler

Compiled 1065 to 794 computations (25.4% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 5 to 3 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`rational.json-simplify-35`
1244×	`exponential.json-3`
1244×	`rational.json-1`
1244×	`rational.json-2`
1244×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	31	5
2	96	5
3	198	5
4	391	5
5	868	5
6	2537	5
7	5682	5

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(sin.f64 eps)

Outputs

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

simplify220.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational.json-simplify-35`
1292×	`rational.json-simplify-2`
1284×	`rational.json-simplify-1`
920×	`rational.json-simplify-41`
870×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	332
1	219	332
2	688	332
3	2311	332
4	4972	332
5	6018	332
6	6330	332
7	6565	332
8	6886	332
9	7415	332

Stop Event

1×	node limit

Counts

48 → 52

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (sin.f64 eps) 0)
(+.f64 0 (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(+.f64 -1 (+.f64 1 (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) 1/2))
(+.f64 (+.f64 1 (sin.f64 eps)) -1)
(+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1)))
(+.f64 (neg.f64 (*.f64 2 (neg.f64 (sin.f64 eps)))) (neg.f64 (sin.f64 eps)))
(-.f64 (sin.f64 eps) 0)
(-.f64 0 (neg.f64 (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 (sin.f64 eps) -2))
(-.f64 (neg.f64 (sin.f64 eps)) (*.f64 2 (neg.f64 (sin.f64 eps))))
(-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (*.f64 (sin.f64 eps) 2)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(*.f64 (sin.f64 eps) 1)
(*.f64 1 (sin.f64 eps))
(.f64 2 (.f64 (sin.f64 eps) 1/2))
(.f64 (.f64 (sin.f64 eps) 2) 1/2)
(.f64 4 (.f64 (sin.f64 eps) 1/4))
(.f64 (.f64 (sin.f64 eps) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 eps) 2))
(*.f64 -1 (neg.f64 (sin.f64 eps)))
(.f64 (.f64 (sin.f64 eps) 8) 1/8)
(.f64 (.f64 (sin.f64 eps) 1/2) 2)
(*.f64 (neg.f64 (sin.f64 eps)) -1)
(.f64 1/4 (.f64 (sin.f64 eps) 4))
(.f64 (.f64 (sin.f64 eps) 1/4) 4)
(.f64 1/8 (.f64 (sin.f64 eps) 8))
(/.f64 (sin.f64 eps) 1)
(/.f64 (*.f64 (sin.f64 eps) 2) 2)
(/.f64 (*.f64 (sin.f64 eps) 4) 4)
(/.f64 (*.f64 (sin.f64 eps) 8) 8)
(/.f64 (neg.f64 (sin.f64 eps)) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) 16)
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 eps) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (sin.f64 eps)))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) 64)
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sin.f64 eps)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 (sin.f64 eps)))) (.f64 2 (.f64 2 (neg.f64 (sin.f64 eps))))) -8)
(/.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 (sin.f64 eps)))) (neg.f64 (.f64 2 (neg.f64 (sin.f64 eps))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8))))) 128)
(pow.f64 (sin.f64 eps) 1)
(neg.f64 (neg.f64 (sin.f64 eps)))

Outputs
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7))) eps))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (sin.f64 eps) 0)
(sin.f64 eps)
(+.f64 0 (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(+.f64 -1 (+.f64 1 (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) 1/2))
(sin.f64 eps)
(+.f64 (+.f64 1 (sin.f64 eps)) -1)
(sin.f64 eps)
(+.f64 -2 (-.f64 1 (+.f64 (neg.f64 (sin.f64 eps)) -1)))
(sin.f64 eps)
(+.f64 (neg.f64 (*.f64 2 (neg.f64 (sin.f64 eps)))) (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (sin.f64 eps) 0)
(sin.f64 eps)
(-.f64 0 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 (sin.f64 eps) -2))
(sin.f64 eps)
(-.f64 (neg.f64 (sin.f64 eps)) (*.f64 2 (neg.f64 (sin.f64 eps))))
(sin.f64 eps)
(-.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (*.f64 (sin.f64 eps) 2)))
(sin.f64 eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(sin.f64 eps)
(*.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(.f64 2 (.f64 (sin.f64 eps) 1/2))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 2) 1/2)
(sin.f64 eps)
(.f64 4 (.f64 (sin.f64 eps) 1/4))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 4) 1/4)
(sin.f64 eps)
(.f64 1/2 (.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(*.f64 -1 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 8) 1/8)
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 1/2) 2)
(sin.f64 eps)
(*.f64 (neg.f64 (sin.f64 eps)) -1)
(sin.f64 eps)
(.f64 1/4 (.f64 (sin.f64 eps) 4))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) 1/4) 4)
(sin.f64 eps)
(.f64 1/8 (.f64 (sin.f64 eps) 8))
(sin.f64 eps)
(/.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(/.f64 (*.f64 (sin.f64 eps) 2) 2)
(sin.f64 eps)
(/.f64 (*.f64 (sin.f64 eps) 4) 4)
(sin.f64 eps)
(/.f64 (*.f64 (sin.f64 eps) 8) 8)
(sin.f64 eps)
(/.f64 (neg.f64 (sin.f64 eps)) -1)
(sin.f64 eps)
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) 16)
(sin.f64 eps)
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) -2)
(sin.f64 eps)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 eps) 8))) 32)
(sin.f64 eps)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (sin.f64 eps)))) -4)
(sin.f64 eps)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) 64)
(sin.f64 eps)
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sin.f64 eps)))) 2)
(sin.f64 eps)
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 (sin.f64 eps)))) (.f64 2 (.f64 2 (neg.f64 (sin.f64 eps))))) -8)
(sin.f64 eps)
(/.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 (sin.f64 eps)))) (neg.f64 (.f64 2 (neg.f64 (sin.f64 eps))))) 4)
(sin.f64 eps)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sin.f64 eps) 8))))) 128)
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(neg.f64 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3)))
✓	0.1b	(+.f64 (sin.f64 (+.f64 x eps)) 3)
✓	1.6b	(+.f64 -4 (-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3))))
	4.0b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 50 to 24 computations (52% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Expression
0.0ms	x	@	(+.f64 (sin.f64 (+.f64 x eps)) 3)
0.0ms	x	@	(+.f64 -4 (-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3))))
0.0ms	eps	@	(-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3)))
0.0ms	eps	@	(+.f64 (sin.f64 (+.f64 x eps)) 3)
0.0ms	x	@	(-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3)))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`rational.json-1`
1514×	`rational.json-simplify-35`
1222×	`exponential.json-3`
1222×	`rational.json-2`
1222×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	102	81
2	215	81
3	472	69
4	1104	69
5	2423	57
6	4761	57
7	7767	57

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(+.f64 -4 (-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3))))
(+.f64 (sin.f64 (+.f64 x eps)) 3)
(-.f64 1 (-.f64 x (+.f64 (sin.f64 (+.f64 x eps)) 3)))

Outputs

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

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

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

simplify220.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1820×	`rational.json-simplify-35`
1258×	`rational.json-simplify-1`
1200×	`rational.json-simplify-51`
1140×	`rational.json-simplify-2`
694×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	4617
1	603	4601
2	1390	4203
3	3059	4173
4	5345	4173
5	6401	4173
6	6928	4173
7	7513	4173
8	7847	4173

Stop Event

1×	node limit

Counts

177 → 221

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(+.f64 1 (sin.f64 (+.f64 x eps)))
	3.0b	(-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1)
	4.0b	(sin.f64 (+.f64 x eps))
✓	10.2b	(-.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) 1) (sin.f64 x))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	96	21
2	227	21
3	531	21
4	1298	21
5	2951	21
6	5357	21

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

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

simplify181.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-35`
1160×	`rational.json-simplify-2`
1034×	`rational.json-simplify-1`
846×	`rational.json-simplify-26`
774×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2491
1	437	2475
2	954	2455
3	2299	2455
4	3936	2455
5	5630	2455
6	6501	2455
7	7002	2455
8	7588	2455

Stop Event

1×	node limit

Counts

105 → 115

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

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cos.f64 eps))
✓	1.4b	(+.f64 (-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (+.f64 x -1)) -1)
✓	2.1b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (+.f64 x -1))
✓	4.3b	(.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))

Compiler

Compiled 99 to 62 computations (37.4% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`exponential.json-3`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`
1416×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	160
1	147	160
2	295	154
3	679	148
4	1622	148
5	3705	148
6	6239	148

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify260.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1724×	`rational.json-simplify-35`
1044×	`rational.json-simplify-2`
972×	`rational.json-simplify-45`
850×	`rational.json-simplify-48`
782×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	299	9492
1	670	9312
2	1656	9126
3	3855	9028
4	6150	9028
5	6947	9028
6	7766	9028
7	7982	9028

Stop Event

1×	node limit

Counts

208 → 229

Calls

Call 1

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

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

eval248.0ms (0.9%)

Compiler: Compiled 15729 to 9323 computations (40.7% saved)

prune193.0ms (0.7%)

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	859	19	878
Fresh	8	22	30
Picked	1	0	1
Done	2	6	8
Total	870	47	917

Error

15.3b

Counts

917 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	49.6b	(-.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2))) (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))) 1)) 1) (sin.f64 x))
	61.1b	(-.f64 (-.f64 (+.f64 (sin.f64 x) 1) 1) (sin.f64 x))
	47.3b	(-.f64 (-.f64 (+.f64 (sin.f64 eps) 1) 1) (sin.f64 x))
	49.4b	(-.f64 (-.f64 (+.f64 (sin.f64 eps) 1) 1) x)
	48.0b	(-.f64 (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 3) -3) (sin.f64 x))
	42.3b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.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 x))
	49.2b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 1 (*.f64 x (cos.f64 eps)))) (+.f64 1 x))
	41.9b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (*.f64 x (cos.f64 eps))) x)
	42.3b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	42.1b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
	42.5b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	41.9b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	42.1b	(-.f64 (+.f64 (sin.f64 eps) (+.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)) (*.f64 (cos.f64 eps) x))) (sin.f64 x))
	47.3b	(-.f64 (+.f64 1 (sin.f64 eps)) 1)
	59.4b	(-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 x eps))) (sin.f64 x))
	42.2b	(-.f64 (sin.f64 (+.f64 x eps)) (-.f64 (+.f64 1 (sin.f64 x)) 1))
✓	40.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	41.4b	(-.f64 (sin.f64 eps) (sin.f64 x))
	43.5b	(-.f64 (sin.f64 eps) x)
	49.2b	(+.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 1) (-.f64 1 (sin.f64 x)))
	49.8b	(+.f64 (-.f64 (+.f64 x (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) (+.f64 x -1)) -1)
	47.2b	(+.f64 (-.f64 (sin.f64 eps) 1) (-.f64 1 (sin.f64 x)))
	48.0b	(+.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 1 (sin.f64 (+.f64 x eps))) 2))) (-.f64 1 (sin.f64 x)))
	49.4b	(+.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (-.f64 (.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) -1/2)) 1)) (-.f64 1 (sin.f64 x)))
	48.1b	(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (+.f64 -2 (-.f64 1 (+.f64 (+.f64 (sin.f64 x) -1) -1)))) -1)
	47.3b	(+.f64 (+.f64 (sin.f64 eps) (-.f64 1 (sin.f64 x))) -1)
	47.9b	(+.f64 (+.f64 1 (sin.f64 (+.f64 x eps))) (+.f64 -3 (-.f64 2 (sin.f64 x))))
	31.6b	(+.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)))))
	32.7b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	31.3b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.7b	(+.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))))))
	32.7b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 x (cos.f64 eps)) x))
	45.4b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
✓	61.2b	(+.f64 1 -1)
	48.1b	(+.f64 -3 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
	49.5b	(+.f64 -4 (-.f64 (+.f64 4 (sin.f64 (+.f64 eps x))) x))
	49.6b	(+.f64 -4 (-.f64 1 (-.f64 x (+.f64 (sin.f64 eps) 3))))
	49.5b	(+.f64 -4 (+.f64 (-.f64 4 x) (sin.f64 (+.f64 x eps))))
	49.5b	(+.f64 -4 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 4 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))))
	47.5b	(+.f64 -4 (+.f64 (sin.f64 eps) 4))
	48.8b	(+.f64 -4 (+.f64 4 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))))
	61.5b	(.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))
✓	30.9b	(*.f64 (cos.f64 x) eps)
	62.3b	(*.f64 1/6 (pow.f64 x 3))
✓	31.4b	(sin.f64 eps)
✓	61.7b	(neg.f64 x)
	44.7b	eps

Compiler

Compiled 673 to 505 computations (25% saved)

regimes220.0ms (0.8%)

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

77.0ms	eps
76.0ms	x
46.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.7b	3	`x`
17.0b	3	`eps`
17.9b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 988 to 535 computations (45.9% saved)

bsearch70.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.2433114986896593e-13	1.8237376074746853e-9
33.0ms	-35560.21931601956	-39.07259599031474

Results

28.0ms	64×	body	1024	valid
22.0ms	143×	body	256	valid
11.0ms	42×	body	512	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 638 to 474 computations (25.7% saved)

regimes285.0ms (1%)

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

73.0ms	eps
72.0ms	x
38.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.7b	3	`x`
17.0b	3	`eps`
17.9b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 900 to 481 computations (46.6% saved)

bsearch74.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.2433114986896593e-13	1.8237376074746853e-9
35.0ms	-35560.21931601956	-39.07259599031474

Results

27.0ms	67×	body	1024	valid
22.0ms	135×	body	256	valid
11.0ms	41×	body	512	valid
9.0ms	13×	body	2048	valid

Compiler

Compiled 638 to 474 computations (25.7% saved)

regimes207.0ms (0.8%)

Counts

70 → 3

Calls

Call 1

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

74.0ms	eps
74.0ms	x
39.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.7b	3	`x`
17.0b	3	`eps`
17.9b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 872 to 463 computations (46.9% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.2433114986896593e-13	1.8237376074746853e-9
31.0ms	-12.953884310819218	-0.24369152866923752

Results

26.0ms	63×	body	1024	valid
21.0ms	130×	body	256	valid
11.0ms	37×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 464 to 355 computations (23.5% saved)

regimes174.0ms (0.6%)

Counts

59 → 3

Calls

Call 1

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

64.0ms	eps
62.0ms	x
33.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.7b	3	`x`
17.1b	3	`eps`
17.9b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 635 to 332 computations (47.7% saved)

bsearch67.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.2433114986896593e-13	1.8237376074746853e-9
31.0ms	-12.953884310819218	-0.24369152866923752

Results

23.0ms	58×	body	1024	valid
20.0ms	129×	body	256	valid
13.0ms	42×	body	512	valid
7.0ms	11×	body	2048	valid

Compiler

Compiled 374 to 280 computations (25.1% saved)

regimes147.0ms (0.5%)

Counts

48 → 3

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	x
51.0ms	eps
28.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
18.8b	3	`x`
17.1b	3	`eps`
18.0b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 441 to 232 computations (47.4% saved)

bsearch75.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.2433114986896593e-13	1.8237376074746853e-9
40.0ms	-35560.21931601956	-39.07259599031474

Results

33.0ms	72×	body	1024	valid
22.0ms	141×	body	256	valid
9.0ms	31×	body	512	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes63.0ms (0.2%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	eps
27.0ms	x

Results

Error	Segments	Branch
19.0b	3	`x`
17.6b	3	`eps`

Compiler

Compiled 161 to 94 computations (41.6% saved)

bsearch70.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.2433114986896593e-13	1.8237376074746853e-9
35.0ms	-35560.21931601956	-39.07259599031474

Results

26.0ms	62×	body	1024	valid
21.0ms	136×	body	256	valid
13.0ms	47×	body	512	valid
8.0ms	11×	body	2048	valid

Compiler

Compiled 206 to 154 computations (25.2% saved)

regimes8.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`eps`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0%)

Accuracy

Total -17.7b remaining (-39.6%)

Threshold costs -17.7b (-39.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
44.7b	1	`x`
44.7b	1	`eps`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	562

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -40) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 eps) (sin.f64 x))))
(if (<=.f64 eps -40) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 -2206763817411543/9007199254740992) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 -40) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -40) (sin.f64 eps) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(if (<=.f64 eps -40) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 eps) (sin.f64 x))))
(if (<=.f64 eps -40) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 -2206763817411543/9007199254740992) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (+.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 -40) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -40) (sin.f64 eps) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 217 to 132 computations (39.2% saved)

soundness198.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1832×	`rational.json-simplify-35`
1230×	`rational.json-simplify-51`
1214×	`rational.json-simplify-2`
1070×	`rational.json-simplify-1`
998×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	3277
1	499	3115
2	1201	3085
3	2298	3081
4	3635	3081
5	4599	3081
6	5930	3081
7	6579	3081
8	7144	3081
9	7642	3081

Stop Event

1×	node limit

Compiler

Compiled 427 to 255 computations (40.3% saved)

end73.0ms (0.3%)

Compiler: Compiled 203 to 97 computations (52.2% saved)